Understanding drama and performance
CONCEPTUALUnderstand how dramatists communicate meaning through performance — including staging, direction, set design, lighting, and actors' choices — and how different productions can interpret the same script differently
Mastery Evidence
- Explain how a director's staging choices (e.g., set, lighting, blocking) affect the audience's understanding
- Compare two productions or adaptations of the same play and evaluate different interpretive choices
- Analyse how a filmed or live production stays faithful to or departs from the original script
Assessment Prompt
“After watching a stage or film production of a play they've read, can [child] discuss how specific choices — like the lighting, the actor's tone, or the set design — interpreted the script, and whether they agreed with those choices?”
Curriculum Standards4 alignments
RL.6.7Common Core State Standards for English Language Arts & Literacy in History/Social Studies, Science, and Technical SubjectsCompare and contrast the experience of reading a story, drama, or poem to listening to or viewing an audio, video, or live version of the text, including contrasting what they “see” and “hear” when reading the text to what they perceive when they listen or watch.
RL.7.7Common Core State Standards for English Language Arts & Literacy in History/Social Studies, Science, and Technical SubjectsCompare and contrast a written story, drama, or poem to its audio, filmed, staged, or multimedia version, analyzing the effects of techniques unique to each medium (e.g., lighting, sound, color, or camera focus and angles in a film).
RL.8.7Common Core State Standards for English Language Arts & Literacy in History/Social Studies, Science, and Technical SubjectsAnalyze the extent to which a filmed or live production of a story or drama stays faithful to or departs from the text or script, evaluating the choices made by the director or actors.
KS3-ENG-R-3dThe national curriculum in Englandunderstanding how the work of dramatists is communicated effectively through performance and how alternative staging allows for different interpretations of a play
Prerequisites2
- Plot Structure and Character DevelopmenthardAges 11—14
- Narrative Perspective and Unreliable NarratorssoftAges 11—14
Show full prerequisite tree
- Plot Structure and Character Development hard
Analysing drama requires understanding plot, character, and setting
- Using and Evaluating Textual Evidence hard
Analysing plot and character development requires ability to cite textual evidence
- Justifying Views About Texts hard
Citing textual evidence extends KS2 providing reasoned justifications with evidence
- Understanding fractions (age 9+) soft
Cross-subject: providing reasoned justifications for views about texts benefits from constructing logical multi-step arguments in maths
- Types of angles (age 8+) hard
Measuring and drawing angles with a protractor requires knowing how to mark and label angles using standard notation
- Right Angles & Turns hard
Identifying right angles and greater/less than right angle is prerequisite to naming acute/obtuse
- Types of angles (age 8+) soft
Identifying right angles and turns is supported by the convention of marking right angles with a small square
- 2-D shapes (age 6+) soft
Understanding angles as shape properties requires knowing basic shape properties
- Position, direction, and movement hard
Recognising angles as turns extends Y2 work on quarter/half/three-quarter turns
- Types of angles (age 8+) soft
Identifying right angles and turns is supported by the convention of marking right angles with a small square
- Positional Language hard
Position/direction vocabulary with right angles extends basic positional language
- Turns & Directions hard
Right-angle turns (clockwise/anti-clockwise) build directly on whole/half/quarter turns from Year 1
- Types of angles (age 8+) hard
Finding unknown angles using equations requires reading angle diagrams and interpreting arc marks and notation
- Types of angles (age 8+) hard
Angle sum rules (360° at a point, 180° on a line) are applied through reading angle diagrams with correct notation
- Right Angles & Turns hard
Identifying right angles and greater/less than right angle is prerequisite to naming acute/obtuse
- Types of angles (age 8+) soft
Identifying right angles and turns is supported by the convention of marking right angles with a small square
- 2-D shapes (age 6+) soft
Understanding angles as shape properties requires knowing basic shape properties
- Position, direction, and movement hard
Recognising angles as turns extends Y2 work on quarter/half/three-quarter turns
- Types of angles (age 8+) soft
Identifying right angles and turns is supported by the convention of marking right angles with a small square
- Positional Language hard
Position/direction vocabulary with right angles extends basic positional language
- Turns & Directions hard
Right-angle turns (clockwise/anti-clockwise) build directly on whole/half/quarter turns from Year 1
- Justifying mathematical reasoning (age 8+) hard
Age 8-9 constructing arguments is prerequisite to age 9-10 level
- Equivalent fractions (age 8+) soft
Generating/explaining equivalent fractions exercises justification skills
- Equivalent fractions on a number line hard
Must understand equivalence before generating equivalent fractions
- Equivalent fractions hard
Diagram-based equivalent fractions is prerequisite to formal equivalence understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Reading +, −, and = symbols soft
Writing fraction sentences (1/2 of 6 = 3) requires understanding the = sign
- Reading and writing numbers to 20 hard
Writing number sentences requires reading and writing numerals
- Addition as combining or putting together two hard
Reading/writing the + symbol requires understanding what addition means
- Subtraction as taking away or separating hard
Reading/writing the − symbol requires understanding what subtraction means
- Fractions of amounts hard
Writing fractions and recognising equivalence requires knowing what the fractions mean
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Writing fractions and recognising equivalence requires 'equivalent fraction' vocabulary
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Halves & Quarters of Shapes hard
Comparing share sizes requires experience partitioning into halves and quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- Fractions on a number line (age 8+) hard
Equivalent fractions as the same point on a number line directly uses the fraction number-line representation
- Fractions on a number line hard
Prior number-line fraction experience feeds into formal unit-fraction placement
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Comparing fractions (age 8+) soft
Fraction comparison requires constructing arguments about relative size
- Comparing fractions hard
Same-denominator comparison experience is prerequisite to same-numerator comparison
- Decomposing a shape into more equal shares soft
More shares = smaller helps understand why 1/5 < 1/3
- Halves & Quarters of Shapes hard
Comparing share sizes requires experience partitioning into halves and quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Fractions on a number line hard
Comparing fractions requires understanding them as numbers on a line
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fractions of a whole hard
Must understand unit fraction size reasoning for same-numerator comparison
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- How Many in Total? hard
Understanding subtraction as taking away requires knowing numbers represent quantities (cardinality)
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Halves & Quarters of Shapes hard
Comparing share sizes requires experience partitioning into halves and quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Justifying mathematical reasoning hard
Age 7-8 explaining/justifying is prerequisite to age 8-9 level
- Describing Aloud soft
Cross-subject: constructing and following multi-step mathematical arguments requires the ability to express thoughts and give well-structured explanations orally
- Expressing & Justifying Opinions soft
Oral expression skills support understanding formality in speech
- Exploring Ideas Through Talk soft
Conversational skills provide foundation for evaluating viewpoints
- Feeling of not understanding soft
Using talk to explore ideas and speculate requires noticing what you don't yet understand — the comprehension-monitoring habit in a spoken register
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Teaching It Back soft
Constructing multi-step mathematical arguments and identifying errors in reasoning is the maths form of the universal self-explanation habit
- Explaining Mathematical Reasoning soft
The universal self-explanation habit (LtL 7-8) builds on the maths-specific practice of explaining reasoning when prompted (MT 6-7)
- Showing Your Working hard
Age 6-7 explaining with diagrams/logic builds on age 5-6 showing and telling with objects
- Numbers up to 10 into pairs soft
Explaining part-part-whole decompositions exercises showing and telling
- Addition as combining or putting together two hard
Decomposing numbers into pairs requires understanding addition as combining
- Number bonds to 9 soft
Explaining how to find number bonds to 10 exercises showing thinking with objects
- Numbers up to 10 into pairs hard
Making 10 is a specific application of decomposing numbers into pairs
- Listening and responding soft
Explaining mathematical reasoning orally requires basic listening and responding skills
- What the equals sign means soft
Determining whether equations are true/false exercises evaluating and justifying
- Reading +, −, and = symbols hard
Deep understanding of = requires already being able to read and write number sentences
- Reading and writing numbers to 20 hard
Writing number sentences requires reading and writing numerals
- Addition as combining or putting together two hard
Reading/writing the + symbol requires understanding what addition means
- Subtraction as taking away or separating hard
Reading/writing the − symbol requires understanding what subtraction means
- Addition as combining or putting together two hard
Understanding commutativity of addition requires understanding addition
- How Many in Total? hard
Understanding addition as combining groups requires knowing numbers represent quantities (cardinality)
- Thinking Before Starting hard
Explaining in your own words requires connecting new learning to existing knowledge already held in mind
- Persisting When It's Hard hard
Activating prior knowledge requires the foundational habit of persistent engagement with new material
- Showing Your Working hard
Age 6-7 explaining with diagrams/logic builds on age 5-6 showing and telling with objects
- Numbers up to 10 into pairs soft
Explaining part-part-whole decompositions exercises showing and telling
- Addition as combining or putting together two hard
Decomposing numbers into pairs requires understanding addition as combining
- How Many in Total? hard
Understanding addition as combining groups requires knowing numbers represent quantities (cardinality)
- Number bonds to 9 soft
Explaining how to find number bonds to 10 exercises showing thinking with objects
- Numbers up to 10 into pairs hard
Making 10 is a specific application of decomposing numbers into pairs
- Addition as combining or putting together two hard
Decomposing numbers into pairs requires understanding addition as combining
- Listening and responding soft
Explaining mathematical reasoning orally requires basic listening and responding skills
- What the equals sign means soft
Determining whether equations are true/false exercises evaluating and justifying
- Reading +, −, and = symbols hard
Deep understanding of = requires already being able to read and write number sentences
- Reading and writing numbers to 20 hard
Writing number sentences requires reading and writing numerals
- How Many in Total? hard
Reading/writing numerals 0–20 requires understanding that numerals represent quantities (cardinality)
- Writing digits 0-9 hard
Writing numerals requires the motor skill of forming digits 0-9 (taught in English handwriting)
- Addition as combining or putting together two hard
Reading/writing the + symbol requires understanding what addition means
- How Many in Total? hard
Understanding addition as combining groups requires knowing numbers represent quantities (cardinality)
- Subtraction as taking away or separating hard
Reading/writing the − symbol requires understanding what subtraction means
- How Many in Total? hard
Understanding subtraction as taking away requires knowing numbers represent quantities (cardinality)
- Addition as combining or putting together two hard
Understanding commutativity of addition requires understanding addition
- How Many in Total? hard
Understanding addition as combining groups requires knowing numbers represent quantities (cardinality)
- One-to-one counting hard
Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'
- Adding and subtracting (age 7+) soft
Explaining columnar methods exercises identifying and justifying steps
- Fluent adding and subtracting within 100 hard
Columnar methods require fluent within-100 addition/subtraction
- Addition and subtraction within 20 hard
Adding within 100 extends within-20 strategies to larger numbers
- Fluent adding and subtracting within 10 hard
Strategies for within-20 calculation build on fluent within-10 knowledge
- The two digits of a two-digit number hard
Adding within 100 using PV requires understanding tens and ones
- A Ten Is Ten Ones hard
Understanding tens and ones place value requires the concept of 10 as a bundle
- The teen numbers hard
General two-digit place value extends from understanding teen number composition
- Addition and subtraction within 20 hard
Fluency within 20 requires prior strategy-based adding/subtracting within 20
- Fluent adding and subtracting within 10 hard
Strategies for within-20 calculation build on fluent within-10 knowledge
- Addition and subtraction within 1000 hard
Formal columnar methods build on conceptual understanding of composing/decomposing
- The three digits of a three-digit number hard
Three-digit operations require three-digit place-value understanding
- The two digits of a two-digit number hard
Must understand two-digit place value before extending to hundreds
- A Ten Is Ten Ones hard
Understanding tens and ones place value requires the concept of 10 as a bundle
- The teen numbers hard
General two-digit place value extends from understanding teen number composition
- Fluent adding and subtracting within 100 hard
Adding/subtracting within 1000 extends within-100 skills
- Addition and subtraction within 20 hard
Adding within 100 extends within-20 strategies to larger numbers
- The two digits of a two-digit number hard
Adding within 100 using PV requires understanding tens and ones
- Addition and subtraction within 20 hard
Fluency within 20 requires prior strategy-based adding/subtracting within 20
- Addition and subtraction strategies (age 7+) soft
Explaining why strategies work exercises constructing arguments
- The three digits of a three-digit number hard
Explanations require place-value language and understanding
- The teen numbers hard
Understanding 10 as a bundle builds on understanding teen numbers as 'a ten and some ones'
- The two digits of a two-digit number hard
Must understand two-digit place value before extending to hundreds
- A Ten Is Ten Ones hard
Understanding tens and ones place value requires the concept of 10 as a bundle
- The teen numbers hard
General two-digit place value extends from understanding teen number composition
- A Ten Is Ten Ones hard
Understanding tens and ones place value requires the concept of 10 as a bundle
- The teen numbers hard
Understanding 10 as a bundle builds on understanding teen numbers as 'a ten and some ones'
- The teen numbers hard
General two-digit place value extends from understanding teen number composition
- How Many in Total? hard
Understanding tens-and-ones composition requires cardinality — knowing numbers represent quantities
- Reading and writing numbers to 20 hard
Composing/decomposing teen numbers requires reading and writing those numerals
- Fluent adding and subtracting within 100 hard
Must be able to use strategies before explaining why they work
- Addition and subtraction within 20 hard
Adding within 100 extends within-20 strategies to larger numbers
- Fluent adding and subtracting within 10 hard
Strategies for within-20 calculation build on fluent within-10 knowledge
- The two digits of a two-digit number hard
Adding within 100 using PV requires understanding tens and ones
- A Ten Is Ten Ones hard
Understanding tens and ones place value requires the concept of 10 as a bundle
- The teen numbers hard
General two-digit place value extends from understanding teen number composition
- Addition and subtraction within 20 hard
Fluency within 20 requires prior strategy-based adding/subtracting within 20
- Fluent adding and subtracting within 10 hard
Strategies for within-20 calculation build on fluent within-10 knowledge
- Understanding Why soft
Critiquing the reasoning of others in maths requires the elaborative-interrogation habit of asking why things work or fail
- Teaching It Back hard
Asking 'why does this work?' requires first being able to explain what you know — interrogation builds on explanation
- Explaining Mathematical Reasoning soft
The universal self-explanation habit (LtL 7-8) builds on the maths-specific practice of explaining reasoning when prompted (MT 6-7)
- Showing Your Working hard
Age 6-7 explaining with diagrams/logic builds on age 5-6 showing and telling with objects
- Numbers up to 10 into pairs soft
Explaining part-part-whole decompositions exercises showing and telling
- Addition as combining or putting together two hard
Decomposing numbers into pairs requires understanding addition as combining
- Number bonds to 9 soft
Explaining how to find number bonds to 10 exercises showing thinking with objects
- Numbers up to 10 into pairs hard
Making 10 is a specific application of decomposing numbers into pairs
- Listening and responding soft
Explaining mathematical reasoning orally requires basic listening and responding skills
- What the equals sign means soft
Determining whether equations are true/false exercises evaluating and justifying
- Reading +, −, and = symbols hard
Deep understanding of = requires already being able to read and write number sentences
- Reading and writing numbers to 20 hard
Writing number sentences requires reading and writing numerals
- Addition as combining or putting together two hard
Reading/writing the + symbol requires understanding what addition means
- Subtraction as taking away or separating hard
Reading/writing the − symbol requires understanding what subtraction means
- Addition as combining or putting together two hard
Understanding commutativity of addition requires understanding addition
- How Many in Total? hard
Understanding addition as combining groups requires knowing numbers represent quantities (cardinality)
- Thinking Before Starting hard
Explaining in your own words requires connecting new learning to existing knowledge already held in mind
- Persisting When It's Hard hard
Activating prior knowledge requires the foundational habit of persistent engagement with new material
- Comparing fractions (age 9+) soft
Comparing fractions with different denominators requires constructing logical arguments
- Equivalent fractions (age 9+) hard
Must generate equivalent fractions before using common denominators to compare
- Equivalent fractions on a number line hard
Understanding equivalence conceptually is prerequisite to explaining algebraically
- Equivalent fractions hard
Diagram-based equivalent fractions is prerequisite to formal equivalence understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Reading +, −, and = symbols soft
Writing fraction sentences (1/2 of 6 = 3) requires understanding the = sign
- Reading and writing numbers to 20 hard
Writing number sentences requires reading and writing numerals
- Addition as combining or putting together two hard
Reading/writing the + symbol requires understanding what addition means
- Subtraction as taking away or separating hard
Reading/writing the − symbol requires understanding what subtraction means
- Fractions of amounts hard
Writing fractions and recognising equivalence requires knowing what the fractions mean
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Writing fractions and recognising equivalence requires 'equivalent fraction' vocabulary
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Halves & Quarters of Shapes hard
Comparing share sizes requires experience partitioning into halves and quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- Fractions on a number line (age 8+) hard
Equivalent fractions as the same point on a number line directly uses the fraction number-line representation
- Fractions on a number line hard
Prior number-line fraction experience feeds into formal unit-fraction placement
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Equivalent fractions (age 8+) hard
Generating equivalent fractions with visual models is prerequisite to algebraic explanation of equivalence
- Equivalent fractions on a number line hard
Must understand equivalence before generating equivalent fractions
- Equivalent fractions hard
Diagram-based equivalent fractions is prerequisite to formal equivalence understanding
- Reading +, −, and = symbols soft
Writing fraction sentences (1/2 of 6 = 3) requires understanding the = sign
- Fractions of amounts hard
Writing fractions and recognising equivalence requires knowing what the fractions mean
- Fraction Notation hard
Writing fractions and recognising equivalence requires 'equivalent fraction' vocabulary
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Fractions on a number line (age 8+) hard
Equivalent fractions as the same point on a number line directly uses the fraction number-line representation
- Fractions on a number line hard
Prior number-line fraction experience feeds into formal unit-fraction placement
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Comparing fractions (age 8+) hard
Same-numerator/denom comparison is prerequisite to different-denom comparison
- Comparing fractions hard
Same-denominator comparison experience is prerequisite to same-numerator comparison
- Decomposing a shape into more equal shares soft
More shares = smaller helps understand why 1/5 < 1/3
- Halves & Quarters of Shapes hard
Comparing share sizes requires experience partitioning into halves and quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Fractions on a number line hard
Comparing fractions requires understanding them as numbers on a line
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fractions of a whole hard
Must understand unit fraction size reasoning for same-numerator comparison
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- How Many in Total? hard
Understanding subtraction as taking away requires knowing numbers represent quantities (cardinality)
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Halves & Quarters of Shapes hard
Comparing share sizes requires experience partitioning into halves and quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Learning from Mistakes soft
Critiquing others' mathematical reasoning and explaining errors applies the universal error-analysis habit to peer arguments
- Checking Your Own Work soft
Investigating why something was wrong grows from the earlier habit of checking whether an answer seems right
- Trying a New Approach hard
Error analysis requires the habit of trying different approaches — you need to have tried something before you can analyse what went wrong
- Feeling of not understanding hard
Strategy switching is triggered by noticing the current approach isn't working — requires comprehension monitoring
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Planning a Task hard
Switching strategy requires first having made a plan — you can only switch away from something you chose deliberately
- Checking Your Own Work hard
Planning before a task grows from the habit of checking back after finishing — both are self-regulatory bookends
- Inferring Characters' Feelings and Motives hard
Justified views requires drawing inferences with evidence
- Predicting what happens next soft
Drawing inferences about characters' feelings and justifying them with evidence is enriched by prior experience predicting what might happen next — both require reading ahead of the literal text
- Reading between the lines hard
Inferring characters' feelings/motives with evidence builds on identifying key details and making simple inferences
- Self-Correcting While Reading soft
Inferring and justifying inferences with text evidence requires the metacognitive habit of checking that the text makes sense as you read — a reader who doesn't self-monitor will miss the cues on which inference depends
- Monitoring Comprehension soft
Self-correcting while reading requires the awareness that decoding correctly is not the same as understanding
- Feeling of not understanding soft
Noticing the decoding/understanding gap is the English-specific form of the universal comprehension-monitoring habit
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Reading for Meaning hard
Noticing the gap between decoding and understanding requires first having the foundational idea that reading means making meaning
- Feeling of not understanding soft
Understanding that reading means making meaning is the English-domain grounding of the universal habit of noticing when you don't understand
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Feeling of not understanding soft
Checking that a text makes sense while reading and self-correcting is the reading-domain form of the universal comprehension-monitoring habit
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Reading with Expression and Accuracy soft
Reading comprehension monitoring builds on earlier fluency skills
- Blending Sounds to Read Words soft
Blending helps attempt unfamiliar words but sight words bypass phonics
- Story Sequence and Central Message soft
Drawing inferences about motivations is enriched by the prior ability to understand and discuss the sequence of events and connections between them — inference relies on understanding what happened and in what order
- Main Topic of Informational Texts soft
Understanding main topic and key details of informational texts supports discussing how items of information are related
- Reading with Expression and Accuracy soft
Expressive reading supports comprehension of sequence and meaning
- Blending Sounds to Read Words soft
Blending helps attempt unfamiliar words but sight words bypass phonics
- Domain Vocabulary Across Subject Areas soft
Drawing inferences from complex texts requires academic vocabulary for reasoning about evidence and argument
- Discussing and Questioning New Words hard
Academic and domain-specific vocabulary acquisition builds on the habit of discussing word meanings and linking new vocabulary to known words
- Defining Words soft
Defining academic words requires the ability to define words by category and attribute
- How Many in Total? soft
Sorting and categorising objects uses the same counting/cardinality skills from maths
- One-to-one counting hard
Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'
- Inferring Characters' Feelings and Motives hard
Evidence-based inference builds on KS2 drawing inferences from texts
- Predicting what happens next soft
Drawing inferences about characters' feelings and justifying them with evidence is enriched by prior experience predicting what might happen next — both require reading ahead of the literal text
- Reading between the lines hard
Inferring characters' feelings/motives with evidence builds on identifying key details and making simple inferences
- Self-Correcting While Reading soft
Inferring and justifying inferences with text evidence requires the metacognitive habit of checking that the text makes sense as you read — a reader who doesn't self-monitor will miss the cues on which inference depends
- Monitoring Comprehension soft
Self-correcting while reading requires the awareness that decoding correctly is not the same as understanding
- Feeling of not understanding soft
Noticing the decoding/understanding gap is the English-specific form of the universal comprehension-monitoring habit
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Reading for Meaning hard
Noticing the gap between decoding and understanding requires first having the foundational idea that reading means making meaning
- Feeling of not understanding soft
Understanding that reading means making meaning is the English-domain grounding of the universal habit of noticing when you don't understand
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Feeling of not understanding soft
Checking that a text makes sense while reading and self-correcting is the reading-domain form of the universal comprehension-monitoring habit
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Reading with Expression and Accuracy soft
Reading comprehension monitoring builds on earlier fluency skills
- Blending Sounds to Read Words soft
Blending helps attempt unfamiliar words but sight words bypass phonics
- Story Sequence and Central Message soft
Drawing inferences about motivations is enriched by the prior ability to understand and discuss the sequence of events and connections between them — inference relies on understanding what happened and in what order
- Main Topic of Informational Texts soft
Understanding main topic and key details of informational texts supports discussing how items of information are related
- Reading with Expression and Accuracy soft
Expressive reading supports comprehension of sequence and meaning
- Blending Sounds to Read Words soft
Blending helps attempt unfamiliar words but sight words bypass phonics
- Domain Vocabulary Across Subject Areas soft
Drawing inferences from complex texts requires academic vocabulary for reasoning about evidence and argument
- Discussing and Questioning New Words hard
Academic and domain-specific vocabulary acquisition builds on the habit of discussing word meanings and linking new vocabulary to known words
- Defining Words soft
Defining academic words requires the ability to define words by category and attribute
- How Many in Total? soft
Sorting and categorising objects uses the same counting/cardinality skills from maths
- One-to-one counting hard
Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'
- Inferring Characters' Feelings and Motives hard
Character analysis builds on KS2 inferring feelings, thoughts, and motives
- Predicting what happens next soft
Drawing inferences about characters' feelings and justifying them with evidence is enriched by prior experience predicting what might happen next — both require reading ahead of the literal text
- Reading between the lines hard
Inferring characters' feelings/motives with evidence builds on identifying key details and making simple inferences
- Self-Correcting While Reading soft
Inferring and justifying inferences with text evidence requires the metacognitive habit of checking that the text makes sense as you read — a reader who doesn't self-monitor will miss the cues on which inference depends
- Monitoring Comprehension soft
Self-correcting while reading requires the awareness that decoding correctly is not the same as understanding
- Feeling of not understanding soft
Noticing the decoding/understanding gap is the English-specific form of the universal comprehension-monitoring habit
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Reading for Meaning hard
Noticing the gap between decoding and understanding requires first having the foundational idea that reading means making meaning
- Feeling of not understanding soft
Understanding that reading means making meaning is the English-domain grounding of the universal habit of noticing when you don't understand
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Feeling of not understanding soft
Checking that a text makes sense while reading and self-correcting is the reading-domain form of the universal comprehension-monitoring habit
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Reading with Expression and Accuracy soft
Reading comprehension monitoring builds on earlier fluency skills
- Blending Sounds to Read Words soft
Blending helps attempt unfamiliar words but sight words bypass phonics
- Story Sequence and Central Message soft
Drawing inferences about motivations is enriched by the prior ability to understand and discuss the sequence of events and connections between them — inference relies on understanding what happened and in what order
- Main Topic of Informational Texts soft
Understanding main topic and key details of informational texts supports discussing how items of information are related
- Reading with Expression and Accuracy soft
Expressive reading supports comprehension of sequence and meaning
- Blending Sounds to Read Words soft
Blending helps attempt unfamiliar words but sight words bypass phonics
- Domain Vocabulary Across Subject Areas soft
Drawing inferences from complex texts requires academic vocabulary for reasoning about evidence and argument
- Discussing and Questioning New Words hard
Academic and domain-specific vocabulary acquisition builds on the habit of discussing word meanings and linking new vocabulary to known words
- Defining Words soft
Defining academic words requires the ability to define words by category and attribute
- How Many in Total? soft
Sorting and categorising objects uses the same counting/cardinality skills from maths
- One-to-one counting hard
Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'
- Narrative Perspective and Unreliable Narrators soft
Evaluating staging choices connects to understanding how perspective shapes interpretation
- Using and Evaluating Textual Evidence hard
Analysing narrative perspective requires citing evidence for how the narrator shapes meaning
- Justifying Views About Texts hard
Citing textual evidence extends KS2 providing reasoned justifications with evidence
- Understanding fractions (age 9+) soft
Cross-subject: providing reasoned justifications for views about texts benefits from constructing logical multi-step arguments in maths
- Types of angles (age 8+) hard
Measuring and drawing angles with a protractor requires knowing how to mark and label angles using standard notation
- Right Angles & Turns hard
Identifying right angles and greater/less than right angle is prerequisite to naming acute/obtuse
- Types of angles (age 8+) soft
Identifying right angles and turns is supported by the convention of marking right angles with a small square
- 2-D shapes (age 6+) soft
Understanding angles as shape properties requires knowing basic shape properties
- Position, direction, and movement hard
Recognising angles as turns extends Y2 work on quarter/half/three-quarter turns
- Types of angles (age 8+) soft
Identifying right angles and turns is supported by the convention of marking right angles with a small square
- Positional Language hard
Position/direction vocabulary with right angles extends basic positional language
- Turns & Directions hard
Right-angle turns (clockwise/anti-clockwise) build directly on whole/half/quarter turns from Year 1
- Types of angles (age 8+) hard
Finding unknown angles using equations requires reading angle diagrams and interpreting arc marks and notation
- Types of angles (age 8+) hard
Angle sum rules (360° at a point, 180° on a line) are applied through reading angle diagrams with correct notation
- Right Angles & Turns hard
Identifying right angles and greater/less than right angle is prerequisite to naming acute/obtuse
- Types of angles (age 8+) soft
Identifying right angles and turns is supported by the convention of marking right angles with a small square
- 2-D shapes (age 6+) soft
Understanding angles as shape properties requires knowing basic shape properties
- Position, direction, and movement hard
Recognising angles as turns extends Y2 work on quarter/half/three-quarter turns
- Types of angles (age 8+) soft
Identifying right angles and turns is supported by the convention of marking right angles with a small square
- Positional Language hard
Position/direction vocabulary with right angles extends basic positional language
- Turns & Directions hard
Right-angle turns (clockwise/anti-clockwise) build directly on whole/half/quarter turns from Year 1
- Justifying mathematical reasoning (age 8+) hard
Age 8-9 constructing arguments is prerequisite to age 9-10 level
- Equivalent fractions (age 8+) soft
Generating/explaining equivalent fractions exercises justification skills
- Equivalent fractions on a number line hard
Must understand equivalence before generating equivalent fractions
- Equivalent fractions hard
Diagram-based equivalent fractions is prerequisite to formal equivalence understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Reading +, −, and = symbols soft
Writing fraction sentences (1/2 of 6 = 3) requires understanding the = sign
- Reading and writing numbers to 20 hard
Writing number sentences requires reading and writing numerals
- Addition as combining or putting together two hard
Reading/writing the + symbol requires understanding what addition means
- Subtraction as taking away or separating hard
Reading/writing the − symbol requires understanding what subtraction means
- Fractions of amounts hard
Writing fractions and recognising equivalence requires knowing what the fractions mean
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Writing fractions and recognising equivalence requires 'equivalent fraction' vocabulary
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Halves & Quarters of Shapes hard
Comparing share sizes requires experience partitioning into halves and quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- Fractions on a number line (age 8+) hard
Equivalent fractions as the same point on a number line directly uses the fraction number-line representation
- Fractions on a number line hard
Prior number-line fraction experience feeds into formal unit-fraction placement
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Comparing fractions (age 8+) soft
Fraction comparison requires constructing arguments about relative size
- Comparing fractions hard
Same-denominator comparison experience is prerequisite to same-numerator comparison
- Decomposing a shape into more equal shares soft
More shares = smaller helps understand why 1/5 < 1/3
- Halves & Quarters of Shapes hard
Comparing share sizes requires experience partitioning into halves and quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Fractions on a number line hard
Comparing fractions requires understanding them as numbers on a line
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fractions of a whole hard
Must understand unit fraction size reasoning for same-numerator comparison
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- How Many in Total? hard
Understanding subtraction as taking away requires knowing numbers represent quantities (cardinality)
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Halves & Quarters of Shapes hard
Comparing share sizes requires experience partitioning into halves and quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Justifying mathematical reasoning hard
Age 7-8 explaining/justifying is prerequisite to age 8-9 level
- Describing Aloud soft
Cross-subject: constructing and following multi-step mathematical arguments requires the ability to express thoughts and give well-structured explanations orally
- Expressing & Justifying Opinions soft
Oral expression skills support understanding formality in speech
- Exploring Ideas Through Talk soft
Conversational skills provide foundation for evaluating viewpoints
- Feeling of not understanding soft
Using talk to explore ideas and speculate requires noticing what you don't yet understand — the comprehension-monitoring habit in a spoken register
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Teaching It Back soft
Constructing multi-step mathematical arguments and identifying errors in reasoning is the maths form of the universal self-explanation habit
- Explaining Mathematical Reasoning soft
The universal self-explanation habit (LtL 7-8) builds on the maths-specific practice of explaining reasoning when prompted (MT 6-7)
- Showing Your Working hard
Age 6-7 explaining with diagrams/logic builds on age 5-6 showing and telling with objects
- Numbers up to 10 into pairs soft
Explaining part-part-whole decompositions exercises showing and telling
- Addition as combining or putting together two hard
Decomposing numbers into pairs requires understanding addition as combining
- Number bonds to 9 soft
Explaining how to find number bonds to 10 exercises showing thinking with objects
- Numbers up to 10 into pairs hard
Making 10 is a specific application of decomposing numbers into pairs
- Listening and responding soft
Explaining mathematical reasoning orally requires basic listening and responding skills
- What the equals sign means soft
Determining whether equations are true/false exercises evaluating and justifying
- Reading +, −, and = symbols hard
Deep understanding of = requires already being able to read and write number sentences
- Reading and writing numbers to 20 hard
Writing number sentences requires reading and writing numerals
- Addition as combining or putting together two hard
Reading/writing the + symbol requires understanding what addition means
- Subtraction as taking away or separating hard
Reading/writing the − symbol requires understanding what subtraction means
- Addition as combining or putting together two hard
Understanding commutativity of addition requires understanding addition
- How Many in Total? hard
Understanding addition as combining groups requires knowing numbers represent quantities (cardinality)
- Thinking Before Starting hard
Explaining in your own words requires connecting new learning to existing knowledge already held in mind
- Persisting When It's Hard hard
Activating prior knowledge requires the foundational habit of persistent engagement with new material
- Showing Your Working hard
Age 6-7 explaining with diagrams/logic builds on age 5-6 showing and telling with objects
- Numbers up to 10 into pairs soft
Explaining part-part-whole decompositions exercises showing and telling
- Addition as combining or putting together two hard
Decomposing numbers into pairs requires understanding addition as combining
- How Many in Total? hard
Understanding addition as combining groups requires knowing numbers represent quantities (cardinality)
- Number bonds to 9 soft
Explaining how to find number bonds to 10 exercises showing thinking with objects
- Numbers up to 10 into pairs hard
Making 10 is a specific application of decomposing numbers into pairs
- Addition as combining or putting together two hard
Decomposing numbers into pairs requires understanding addition as combining
- Listening and responding soft
Explaining mathematical reasoning orally requires basic listening and responding skills
- What the equals sign means soft
Determining whether equations are true/false exercises evaluating and justifying
- Reading +, −, and = symbols hard
Deep understanding of = requires already being able to read and write number sentences
- Reading and writing numbers to 20 hard
Writing number sentences requires reading and writing numerals
- How Many in Total? hard
Reading/writing numerals 0–20 requires understanding that numerals represent quantities (cardinality)
- Writing digits 0-9 hard
Writing numerals requires the motor skill of forming digits 0-9 (taught in English handwriting)
- Addition as combining or putting together two hard
Reading/writing the + symbol requires understanding what addition means
- How Many in Total? hard
Understanding addition as combining groups requires knowing numbers represent quantities (cardinality)
- Subtraction as taking away or separating hard
Reading/writing the − symbol requires understanding what subtraction means
- How Many in Total? hard
Understanding subtraction as taking away requires knowing numbers represent quantities (cardinality)
- Addition as combining or putting together two hard
Understanding commutativity of addition requires understanding addition
- How Many in Total? hard
Understanding addition as combining groups requires knowing numbers represent quantities (cardinality)
- One-to-one counting hard
Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'
- Adding and subtracting (age 7+) soft
Explaining columnar methods exercises identifying and justifying steps
- Fluent adding and subtracting within 100 hard
Columnar methods require fluent within-100 addition/subtraction
- Addition and subtraction within 20 hard
Adding within 100 extends within-20 strategies to larger numbers
- Fluent adding and subtracting within 10 hard
Strategies for within-20 calculation build on fluent within-10 knowledge
- The two digits of a two-digit number hard
Adding within 100 using PV requires understanding tens and ones
- A Ten Is Ten Ones hard
Understanding tens and ones place value requires the concept of 10 as a bundle
- The teen numbers hard
General two-digit place value extends from understanding teen number composition
- Addition and subtraction within 20 hard
Fluency within 20 requires prior strategy-based adding/subtracting within 20
- Fluent adding and subtracting within 10 hard
Strategies for within-20 calculation build on fluent within-10 knowledge
- Addition and subtraction within 1000 hard
Formal columnar methods build on conceptual understanding of composing/decomposing
- The three digits of a three-digit number hard
Three-digit operations require three-digit place-value understanding
- The two digits of a two-digit number hard
Must understand two-digit place value before extending to hundreds
- A Ten Is Ten Ones hard
Understanding tens and ones place value requires the concept of 10 as a bundle
- The teen numbers hard
General two-digit place value extends from understanding teen number composition
- Fluent adding and subtracting within 100 hard
Adding/subtracting within 1000 extends within-100 skills
- Addition and subtraction within 20 hard
Adding within 100 extends within-20 strategies to larger numbers
- The two digits of a two-digit number hard
Adding within 100 using PV requires understanding tens and ones
- Addition and subtraction within 20 hard
Fluency within 20 requires prior strategy-based adding/subtracting within 20
- Addition and subtraction strategies (age 7+) soft
Explaining why strategies work exercises constructing arguments
- The three digits of a three-digit number hard
Explanations require place-value language and understanding
- The teen numbers hard
Understanding 10 as a bundle builds on understanding teen numbers as 'a ten and some ones'
- The two digits of a two-digit number hard
Must understand two-digit place value before extending to hundreds
- A Ten Is Ten Ones hard
Understanding tens and ones place value requires the concept of 10 as a bundle
- The teen numbers hard
General two-digit place value extends from understanding teen number composition
- A Ten Is Ten Ones hard
Understanding tens and ones place value requires the concept of 10 as a bundle
- The teen numbers hard
Understanding 10 as a bundle builds on understanding teen numbers as 'a ten and some ones'
- The teen numbers hard
General two-digit place value extends from understanding teen number composition
- How Many in Total? hard
Understanding tens-and-ones composition requires cardinality — knowing numbers represent quantities
- Reading and writing numbers to 20 hard
Composing/decomposing teen numbers requires reading and writing those numerals
- Fluent adding and subtracting within 100 hard
Must be able to use strategies before explaining why they work
- Addition and subtraction within 20 hard
Adding within 100 extends within-20 strategies to larger numbers
- Fluent adding and subtracting within 10 hard
Strategies for within-20 calculation build on fluent within-10 knowledge
- The two digits of a two-digit number hard
Adding within 100 using PV requires understanding tens and ones
- A Ten Is Ten Ones hard
Understanding tens and ones place value requires the concept of 10 as a bundle
- The teen numbers hard
General two-digit place value extends from understanding teen number composition
- Addition and subtraction within 20 hard
Fluency within 20 requires prior strategy-based adding/subtracting within 20
- Fluent adding and subtracting within 10 hard
Strategies for within-20 calculation build on fluent within-10 knowledge
- Understanding Why soft
Critiquing the reasoning of others in maths requires the elaborative-interrogation habit of asking why things work or fail
- Teaching It Back hard
Asking 'why does this work?' requires first being able to explain what you know — interrogation builds on explanation
- Explaining Mathematical Reasoning soft
The universal self-explanation habit (LtL 7-8) builds on the maths-specific practice of explaining reasoning when prompted (MT 6-7)
- Showing Your Working hard
Age 6-7 explaining with diagrams/logic builds on age 5-6 showing and telling with objects
- Numbers up to 10 into pairs soft
Explaining part-part-whole decompositions exercises showing and telling
- Addition as combining or putting together two hard
Decomposing numbers into pairs requires understanding addition as combining
- Number bonds to 9 soft
Explaining how to find number bonds to 10 exercises showing thinking with objects
- Numbers up to 10 into pairs hard
Making 10 is a specific application of decomposing numbers into pairs
- Listening and responding soft
Explaining mathematical reasoning orally requires basic listening and responding skills
- What the equals sign means soft
Determining whether equations are true/false exercises evaluating and justifying
- Reading +, −, and = symbols hard
Deep understanding of = requires already being able to read and write number sentences
- Reading and writing numbers to 20 hard
Writing number sentences requires reading and writing numerals
- Addition as combining or putting together two hard
Reading/writing the + symbol requires understanding what addition means
- Subtraction as taking away or separating hard
Reading/writing the − symbol requires understanding what subtraction means
- Addition as combining or putting together two hard
Understanding commutativity of addition requires understanding addition
- How Many in Total? hard
Understanding addition as combining groups requires knowing numbers represent quantities (cardinality)
- Thinking Before Starting hard
Explaining in your own words requires connecting new learning to existing knowledge already held in mind
- Persisting When It's Hard hard
Activating prior knowledge requires the foundational habit of persistent engagement with new material
- Comparing fractions (age 9+) soft
Comparing fractions with different denominators requires constructing logical arguments
- Equivalent fractions (age 9+) hard
Must generate equivalent fractions before using common denominators to compare
- Equivalent fractions on a number line hard
Understanding equivalence conceptually is prerequisite to explaining algebraically
- Equivalent fractions hard
Diagram-based equivalent fractions is prerequisite to formal equivalence understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Reading +, −, and = symbols soft
Writing fraction sentences (1/2 of 6 = 3) requires understanding the = sign
- Reading and writing numbers to 20 hard
Writing number sentences requires reading and writing numerals
- Addition as combining or putting together two hard
Reading/writing the + symbol requires understanding what addition means
- Subtraction as taking away or separating hard
Reading/writing the − symbol requires understanding what subtraction means
- Fractions of amounts hard
Writing fractions and recognising equivalence requires knowing what the fractions mean
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Writing fractions and recognising equivalence requires 'equivalent fraction' vocabulary
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Halves & Quarters of Shapes hard
Comparing share sizes requires experience partitioning into halves and quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- Fractions on a number line (age 8+) hard
Equivalent fractions as the same point on a number line directly uses the fraction number-line representation
- Fractions on a number line hard
Prior number-line fraction experience feeds into formal unit-fraction placement
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Equivalent fractions (age 8+) hard
Generating equivalent fractions with visual models is prerequisite to algebraic explanation of equivalence
- Equivalent fractions on a number line hard
Must understand equivalence before generating equivalent fractions
- Equivalent fractions hard
Diagram-based equivalent fractions is prerequisite to formal equivalence understanding
- Reading +, −, and = symbols soft
Writing fraction sentences (1/2 of 6 = 3) requires understanding the = sign
- Fractions of amounts hard
Writing fractions and recognising equivalence requires knowing what the fractions mean
- Fraction Notation hard
Writing fractions and recognising equivalence requires 'equivalent fraction' vocabulary
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Fractions on a number line (age 8+) hard
Equivalent fractions as the same point on a number line directly uses the fraction number-line representation
- Fractions on a number line hard
Prior number-line fraction experience feeds into formal unit-fraction placement
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Comparing fractions (age 8+) hard
Same-numerator/denom comparison is prerequisite to different-denom comparison
- Comparing fractions hard
Same-denominator comparison experience is prerequisite to same-numerator comparison
- Decomposing a shape into more equal shares soft
More shares = smaller helps understand why 1/5 < 1/3
- Halves & Quarters of Shapes hard
Comparing share sizes requires experience partitioning into halves and quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Fractions on a number line hard
Comparing fractions requires understanding them as numbers on a line
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fractions of a whole hard
Must understand unit fraction size reasoning for same-numerator comparison
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- How Many in Total? hard
Understanding subtraction as taking away requires knowing numbers represent quantities (cardinality)
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Halves & Quarters of Shapes hard
Comparing share sizes requires experience partitioning into halves and quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Learning from Mistakes soft
Critiquing others' mathematical reasoning and explaining errors applies the universal error-analysis habit to peer arguments
- Checking Your Own Work soft
Investigating why something was wrong grows from the earlier habit of checking whether an answer seems right
- Trying a New Approach hard
Error analysis requires the habit of trying different approaches — you need to have tried something before you can analyse what went wrong
- Feeling of not understanding hard
Strategy switching is triggered by noticing the current approach isn't working — requires comprehension monitoring
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Planning a Task hard
Switching strategy requires first having made a plan — you can only switch away from something you chose deliberately
- Checking Your Own Work hard
Planning before a task grows from the habit of checking back after finishing — both are self-regulatory bookends
- Inferring Characters' Feelings and Motives hard
Justified views requires drawing inferences with evidence
- Predicting what happens next soft
Drawing inferences about characters' feelings and justifying them with evidence is enriched by prior experience predicting what might happen next — both require reading ahead of the literal text
- Reading between the lines hard
Inferring characters' feelings/motives with evidence builds on identifying key details and making simple inferences
- Self-Correcting While Reading soft
Inferring and justifying inferences with text evidence requires the metacognitive habit of checking that the text makes sense as you read — a reader who doesn't self-monitor will miss the cues on which inference depends
- Monitoring Comprehension soft
Self-correcting while reading requires the awareness that decoding correctly is not the same as understanding
- Feeling of not understanding soft
Noticing the decoding/understanding gap is the English-specific form of the universal comprehension-monitoring habit
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Reading for Meaning hard
Noticing the gap between decoding and understanding requires first having the foundational idea that reading means making meaning
- Feeling of not understanding soft
Understanding that reading means making meaning is the English-domain grounding of the universal habit of noticing when you don't understand
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Feeling of not understanding soft
Checking that a text makes sense while reading and self-correcting is the reading-domain form of the universal comprehension-monitoring habit
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Reading with Expression and Accuracy soft
Reading comprehension monitoring builds on earlier fluency skills
- Blending Sounds to Read Words soft
Blending helps attempt unfamiliar words but sight words bypass phonics
- Story Sequence and Central Message soft
Drawing inferences about motivations is enriched by the prior ability to understand and discuss the sequence of events and connections between them — inference relies on understanding what happened and in what order
- Main Topic of Informational Texts soft
Understanding main topic and key details of informational texts supports discussing how items of information are related
- Reading with Expression and Accuracy soft
Expressive reading supports comprehension of sequence and meaning
- Blending Sounds to Read Words soft
Blending helps attempt unfamiliar words but sight words bypass phonics
- Domain Vocabulary Across Subject Areas soft
Drawing inferences from complex texts requires academic vocabulary for reasoning about evidence and argument
- Discussing and Questioning New Words hard
Academic and domain-specific vocabulary acquisition builds on the habit of discussing word meanings and linking new vocabulary to known words
- Defining Words soft
Defining academic words requires the ability to define words by category and attribute
- How Many in Total? soft
Sorting and categorising objects uses the same counting/cardinality skills from maths
- One-to-one counting hard
Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'
- Inferring Characters' Feelings and Motives hard
Evidence-based inference builds on KS2 drawing inferences from texts
- Predicting what happens next soft
Drawing inferences about characters' feelings and justifying them with evidence is enriched by prior experience predicting what might happen next — both require reading ahead of the literal text
- Reading between the lines hard
Inferring characters' feelings/motives with evidence builds on identifying key details and making simple inferences
- Self-Correcting While Reading soft
Inferring and justifying inferences with text evidence requires the metacognitive habit of checking that the text makes sense as you read — a reader who doesn't self-monitor will miss the cues on which inference depends
- Monitoring Comprehension soft
Self-correcting while reading requires the awareness that decoding correctly is not the same as understanding
- Feeling of not understanding soft
Noticing the decoding/understanding gap is the English-specific form of the universal comprehension-monitoring habit
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Reading for Meaning hard
Noticing the gap between decoding and understanding requires first having the foundational idea that reading means making meaning
- Feeling of not understanding soft
Understanding that reading means making meaning is the English-domain grounding of the universal habit of noticing when you don't understand
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Feeling of not understanding soft
Checking that a text makes sense while reading and self-correcting is the reading-domain form of the universal comprehension-monitoring habit
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Reading with Expression and Accuracy soft
Reading comprehension monitoring builds on earlier fluency skills
- Blending Sounds to Read Words soft
Blending helps attempt unfamiliar words but sight words bypass phonics
- Story Sequence and Central Message soft
Drawing inferences about motivations is enriched by the prior ability to understand and discuss the sequence of events and connections between them — inference relies on understanding what happened and in what order
- Main Topic of Informational Texts soft
Understanding main topic and key details of informational texts supports discussing how items of information are related
- Reading with Expression and Accuracy soft
Expressive reading supports comprehension of sequence and meaning
- Blending Sounds to Read Words soft
Blending helps attempt unfamiliar words but sight words bypass phonics
- Domain Vocabulary Across Subject Areas soft
Drawing inferences from complex texts requires academic vocabulary for reasoning about evidence and argument
- Discussing and Questioning New Words hard
Academic and domain-specific vocabulary acquisition builds on the habit of discussing word meanings and linking new vocabulary to known words
- Defining Words soft
Defining academic words requires the ability to define words by category and attribute
- How Many in Total? soft
Sorting and categorising objects uses the same counting/cardinality skills from maths
- One-to-one counting hard
Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'
- Plot Structure and Character Development hard
Point of view analysis requires understanding character development and plot structure
- Using and Evaluating Textual Evidence hard
Analysing plot and character development requires ability to cite textual evidence
- Justifying Views About Texts hard
Citing textual evidence extends KS2 providing reasoned justifications with evidence
- Understanding fractions (age 9+) soft
Cross-subject: providing reasoned justifications for views about texts benefits from constructing logical multi-step arguments in maths
- Types of angles (age 8+) hard
Measuring and drawing angles with a protractor requires knowing how to mark and label angles using standard notation
- Right Angles & Turns hard
Identifying right angles and greater/less than right angle is prerequisite to naming acute/obtuse
- Types of angles (age 8+) soft
Identifying right angles and turns is supported by the convention of marking right angles with a small square
- Types of angles (age 8+) hard
Finding unknown angles using equations requires reading angle diagrams and interpreting arc marks and notation
- Types of angles (age 8+) hard
Angle sum rules (360° at a point, 180° on a line) are applied through reading angle diagrams with correct notation
- Right Angles & Turns hard
Identifying right angles and greater/less than right angle is prerequisite to naming acute/obtuse
- Types of angles (age 8+) soft
Identifying right angles and turns is supported by the convention of marking right angles with a small square
- Justifying mathematical reasoning (age 8+) hard
Age 8-9 constructing arguments is prerequisite to age 9-10 level
- Equivalent fractions (age 8+) soft
Generating/explaining equivalent fractions exercises justification skills
- Equivalent fractions on a number line hard
Must understand equivalence before generating equivalent fractions
- Equivalent fractions hard
Diagram-based equivalent fractions is prerequisite to formal equivalence understanding
- Reading +, −, and = symbols soft
Writing fraction sentences (1/2 of 6 = 3) requires understanding the = sign
- Fractions of amounts hard
Writing fractions and recognising equivalence requires knowing what the fractions mean
- Fraction Notation hard
Writing fractions and recognising equivalence requires 'equivalent fraction' vocabulary
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Fractions on a number line (age 8+) hard
Equivalent fractions as the same point on a number line directly uses the fraction number-line representation
- Fractions on a number line hard
Prior number-line fraction experience feeds into formal unit-fraction placement
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Comparing fractions (age 8+) soft
Fraction comparison requires constructing arguments about relative size
- Comparing fractions hard
Same-denominator comparison experience is prerequisite to same-numerator comparison
- Decomposing a shape into more equal shares soft
More shares = smaller helps understand why 1/5 < 1/3
- Halves & Quarters of Shapes hard
Comparing share sizes requires experience partitioning into halves and quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- Fractions on a number line hard
Comparing fractions requires understanding them as numbers on a line
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fractions of a whole hard
Must understand unit fraction size reasoning for same-numerator comparison
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Halves & Quarters of Shapes hard
Comparing share sizes requires experience partitioning into halves and quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- Justifying mathematical reasoning hard
Age 7-8 explaining/justifying is prerequisite to age 8-9 level
- Describing Aloud soft
Cross-subject: constructing and following multi-step mathematical arguments requires the ability to express thoughts and give well-structured explanations orally
- Expressing & Justifying Opinions soft
Oral expression skills support understanding formality in speech
- Exploring Ideas Through Talk soft
Conversational skills provide foundation for evaluating viewpoints
- Feeling of not understanding soft
Using talk to explore ideas and speculate requires noticing what you don't yet understand — the comprehension-monitoring habit in a spoken register
- Teaching It Back soft
Constructing multi-step mathematical arguments and identifying errors in reasoning is the maths form of the universal self-explanation habit
- Explaining Mathematical Reasoning soft
The universal self-explanation habit (LtL 7-8) builds on the maths-specific practice of explaining reasoning when prompted (MT 6-7)
- Showing Your Working hard
Age 6-7 explaining with diagrams/logic builds on age 5-6 showing and telling with objects
- Numbers up to 10 into pairs soft
Explaining part-part-whole decompositions exercises showing and telling
- Number bonds to 9 soft
Explaining how to find number bonds to 10 exercises showing thinking with objects
- Listening and responding soft
Explaining mathematical reasoning orally requires basic listening and responding skills
- What the equals sign means soft
Determining whether equations are true/false exercises evaluating and justifying
- Reading +, −, and = symbols hard
Deep understanding of = requires already being able to read and write number sentences
- Addition as combining or putting together two hard
Understanding commutativity of addition requires understanding addition
- Thinking Before Starting hard
Explaining in your own words requires connecting new learning to existing knowledge already held in mind
- Persisting When It's Hard hard
Activating prior knowledge requires the foundational habit of persistent engagement with new material
- Showing Your Working hard
Age 6-7 explaining with diagrams/logic builds on age 5-6 showing and telling with objects
- Numbers up to 10 into pairs soft
Explaining part-part-whole decompositions exercises showing and telling
- Addition as combining or putting together two hard
Decomposing numbers into pairs requires understanding addition as combining
- Number bonds to 9 soft
Explaining how to find number bonds to 10 exercises showing thinking with objects
- Numbers up to 10 into pairs hard
Making 10 is a specific application of decomposing numbers into pairs
- Listening and responding soft
Explaining mathematical reasoning orally requires basic listening and responding skills
- What the equals sign means soft
Determining whether equations are true/false exercises evaluating and justifying
- Reading +, −, and = symbols hard
Deep understanding of = requires already being able to read and write number sentences
- Reading and writing numbers to 20 hard
Writing number sentences requires reading and writing numerals
- Addition as combining or putting together two hard
Reading/writing the + symbol requires understanding what addition means
- Subtraction as taking away or separating hard
Reading/writing the − symbol requires understanding what subtraction means
- Addition as combining or putting together two hard
Understanding commutativity of addition requires understanding addition
- How Many in Total? hard
Understanding addition as combining groups requires knowing numbers represent quantities (cardinality)
- Adding and subtracting (age 7+) soft
Explaining columnar methods exercises identifying and justifying steps
- Fluent adding and subtracting within 100 hard
Columnar methods require fluent within-100 addition/subtraction
- Addition and subtraction within 20 hard
Adding within 100 extends within-20 strategies to larger numbers
- The two digits of a two-digit number hard
Adding within 100 using PV requires understanding tens and ones
- Addition and subtraction within 20 hard
Fluency within 20 requires prior strategy-based adding/subtracting within 20
- Addition and subtraction within 1000 hard
Formal columnar methods build on conceptual understanding of composing/decomposing
- The three digits of a three-digit number hard
Three-digit operations require three-digit place-value understanding
- Fluent adding and subtracting within 100 hard
Adding/subtracting within 1000 extends within-100 skills
- Addition and subtraction strategies (age 7+) soft
Explaining why strategies work exercises constructing arguments
- The three digits of a three-digit number hard
Explanations require place-value language and understanding
- The two digits of a two-digit number hard
Must understand two-digit place value before extending to hundreds
- A Ten Is Ten Ones hard
Understanding tens and ones place value requires the concept of 10 as a bundle
- The teen numbers hard
General two-digit place value extends from understanding teen number composition
- Fluent adding and subtracting within 100 hard
Must be able to use strategies before explaining why they work
- Addition and subtraction within 20 hard
Adding within 100 extends within-20 strategies to larger numbers
- The two digits of a two-digit number hard
Adding within 100 using PV requires understanding tens and ones
- Addition and subtraction within 20 hard
Fluency within 20 requires prior strategy-based adding/subtracting within 20
- Understanding Why soft
Critiquing the reasoning of others in maths requires the elaborative-interrogation habit of asking why things work or fail
- Teaching It Back hard
Asking 'why does this work?' requires first being able to explain what you know — interrogation builds on explanation
- Explaining Mathematical Reasoning soft
The universal self-explanation habit (LtL 7-8) builds on the maths-specific practice of explaining reasoning when prompted (MT 6-7)
- Showing Your Working hard
Age 6-7 explaining with diagrams/logic builds on age 5-6 showing and telling with objects
- Numbers up to 10 into pairs soft
Explaining part-part-whole decompositions exercises showing and telling
- Number bonds to 9 soft
Explaining how to find number bonds to 10 exercises showing thinking with objects
- Listening and responding soft
Explaining mathematical reasoning orally requires basic listening and responding skills
- What the equals sign means soft
Determining whether equations are true/false exercises evaluating and justifying
- Reading +, −, and = symbols hard
Deep understanding of = requires already being able to read and write number sentences
- Addition as combining or putting together two hard
Understanding commutativity of addition requires understanding addition
- Thinking Before Starting hard
Explaining in your own words requires connecting new learning to existing knowledge already held in mind
- Persisting When It's Hard hard
Activating prior knowledge requires the foundational habit of persistent engagement with new material
- Comparing fractions (age 9+) soft
Comparing fractions with different denominators requires constructing logical arguments
- Equivalent fractions (age 9+) hard
Must generate equivalent fractions before using common denominators to compare
- Equivalent fractions on a number line hard
Understanding equivalence conceptually is prerequisite to explaining algebraically
- Equivalent fractions hard
Diagram-based equivalent fractions is prerequisite to formal equivalence understanding
- Reading +, −, and = symbols soft
Writing fraction sentences (1/2 of 6 = 3) requires understanding the = sign
- Fractions of amounts hard
Writing fractions and recognising equivalence requires knowing what the fractions mean
- Fraction Notation hard
Writing fractions and recognising equivalence requires 'equivalent fraction' vocabulary
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Fractions on a number line (age 8+) hard
Equivalent fractions as the same point on a number line directly uses the fraction number-line representation
- Fractions on a number line hard
Prior number-line fraction experience feeds into formal unit-fraction placement
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Equivalent fractions (age 8+) hard
Generating equivalent fractions with visual models is prerequisite to algebraic explanation of equivalence
- Equivalent fractions on a number line hard
Must understand equivalence before generating equivalent fractions
- Equivalent fractions hard
Diagram-based equivalent fractions is prerequisite to formal equivalence understanding
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Fractions on a number line (age 8+) hard
Equivalent fractions as the same point on a number line directly uses the fraction number-line representation
- Fractions on a number line hard
Prior number-line fraction experience feeds into formal unit-fraction placement
- Comparing fractions (age 8+) hard
Same-numerator/denom comparison is prerequisite to different-denom comparison
- Comparing fractions hard
Same-denominator comparison experience is prerequisite to same-numerator comparison
- Decomposing a shape into more equal shares soft
More shares = smaller helps understand why 1/5 < 1/3
- Halves & Quarters of Shapes hard
Comparing share sizes requires experience partitioning into halves and quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- Fractions on a number line hard
Comparing fractions requires understanding them as numbers on a line
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fractions of a whole hard
Must understand unit fraction size reasoning for same-numerator comparison
- Fractions of amounts hard
Recognising fractions of shapes/quantities is prerequisite to formal unit fraction understanding
- Finding halves and quarters (age 5+) hard
Working with 1/4, 2/4, 3/4 extends from Y1 understanding of quarters
- What Is a Half? hard
Understanding quarters extends from understanding halves — both are equal parts but quarters requires dividing into 4
- Division as equal sharing hard
Finding a half requires equal sharing into 2 groups — a division concept
- Subtraction as taking away or separating hard
Division as equal sharing/grouping requires understanding subtraction as taking away/separating
- Fraction Notation hard
Writing fractions like 1/3 and 3/4 requires knowing numerator and denominator
- Fraction Notation hard
Understanding a/b as a parts of 1/b requires numerator, denominator, and unit fraction vocabulary
- Splitting shapes into equal parts (age 7+) hard
Partition into equal shares is prerequisite to understanding unit fractions
- Decomposing a shape into more equal shares hard
Understanding equal shares of different shapes requires concept of more shares = smaller
- Halves & Quarters of Shapes hard
Comparing share sizes requires experience partitioning into halves and quarters
- Finding halves and quarters (age 5+) hard
Partitioning into fourths/quarters extends from Y1 understanding of quarters
- Learning from Mistakes soft
Critiquing others' mathematical reasoning and explaining errors applies the universal error-analysis habit to peer arguments
- Checking Your Own Work soft
Investigating why something was wrong grows from the earlier habit of checking whether an answer seems right
- Trying a New Approach hard
Error analysis requires the habit of trying different approaches — you need to have tried something before you can analyse what went wrong
- Feeling of not understanding hard
Strategy switching is triggered by noticing the current approach isn't working — requires comprehension monitoring
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Planning a Task hard
Switching strategy requires first having made a plan — you can only switch away from something you chose deliberately
- Checking Your Own Work hard
Planning before a task grows from the habit of checking back after finishing — both are self-regulatory bookends
- Inferring Characters' Feelings and Motives hard
Justified views requires drawing inferences with evidence
- Predicting what happens next soft
Drawing inferences about characters' feelings and justifying them with evidence is enriched by prior experience predicting what might happen next — both require reading ahead of the literal text
- Reading between the lines hard
Inferring characters' feelings/motives with evidence builds on identifying key details and making simple inferences
- Self-Correcting While Reading soft
Inferring and justifying inferences with text evidence requires the metacognitive habit of checking that the text makes sense as you read — a reader who doesn't self-monitor will miss the cues on which inference depends
- Monitoring Comprehension soft
Self-correcting while reading requires the awareness that decoding correctly is not the same as understanding
- Feeling of not understanding soft
Noticing the decoding/understanding gap is the English-specific form of the universal comprehension-monitoring habit
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Reading for Meaning hard
Noticing the gap between decoding and understanding requires first having the foundational idea that reading means making meaning
- Feeling of not understanding soft
Understanding that reading means making meaning is the English-domain grounding of the universal habit of noticing when you don't understand
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Feeling of not understanding soft
Checking that a text makes sense while reading and self-correcting is the reading-domain form of the universal comprehension-monitoring habit
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Reading with Expression and Accuracy soft
Reading comprehension monitoring builds on earlier fluency skills
- Blending Sounds to Read Words soft
Blending helps attempt unfamiliar words but sight words bypass phonics
- Story Sequence and Central Message soft
Drawing inferences about motivations is enriched by the prior ability to understand and discuss the sequence of events and connections between them — inference relies on understanding what happened and in what order
- Main Topic of Informational Texts soft
Understanding main topic and key details of informational texts supports discussing how items of information are related
- Reading with Expression and Accuracy soft
Expressive reading supports comprehension of sequence and meaning
- Blending Sounds to Read Words soft
Blending helps attempt unfamiliar words but sight words bypass phonics
- Domain Vocabulary Across Subject Areas soft
Drawing inferences from complex texts requires academic vocabulary for reasoning about evidence and argument
- Discussing and Questioning New Words hard
Academic and domain-specific vocabulary acquisition builds on the habit of discussing word meanings and linking new vocabulary to known words
- Defining Words soft
Defining academic words requires the ability to define words by category and attribute
- How Many in Total? soft
Sorting and categorising objects uses the same counting/cardinality skills from maths
- One-to-one counting hard
Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'
- Inferring Characters' Feelings and Motives hard
Evidence-based inference builds on KS2 drawing inferences from texts
- Predicting what happens next soft
Drawing inferences about characters' feelings and justifying them with evidence is enriched by prior experience predicting what might happen next — both require reading ahead of the literal text
- Reading between the lines hard
Inferring characters' feelings/motives with evidence builds on identifying key details and making simple inferences
- Self-Correcting While Reading soft
Inferring and justifying inferences with text evidence requires the metacognitive habit of checking that the text makes sense as you read — a reader who doesn't self-monitor will miss the cues on which inference depends
- Monitoring Comprehension soft
Self-correcting while reading requires the awareness that decoding correctly is not the same as understanding
- Feeling of not understanding soft
Noticing the decoding/understanding gap is the English-specific form of the universal comprehension-monitoring habit
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Reading for Meaning hard
Noticing the gap between decoding and understanding requires first having the foundational idea that reading means making meaning
- Feeling of not understanding soft
Understanding that reading means making meaning is the English-domain grounding of the universal habit of noticing when you don't understand
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Feeling of not understanding soft
Checking that a text makes sense while reading and self-correcting is the reading-domain form of the universal comprehension-monitoring habit
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Reading with Expression and Accuracy soft
Reading comprehension monitoring builds on earlier fluency skills
- Blending Sounds to Read Words soft
Blending helps attempt unfamiliar words but sight words bypass phonics
- Story Sequence and Central Message soft
Drawing inferences about motivations is enriched by the prior ability to understand and discuss the sequence of events and connections between them — inference relies on understanding what happened and in what order
- Main Topic of Informational Texts soft
Understanding main topic and key details of informational texts supports discussing how items of information are related
- Reading with Expression and Accuracy soft
Expressive reading supports comprehension of sequence and meaning
- Blending Sounds to Read Words soft
Blending helps attempt unfamiliar words but sight words bypass phonics
- Domain Vocabulary Across Subject Areas soft
Drawing inferences from complex texts requires academic vocabulary for reasoning about evidence and argument
- Discussing and Questioning New Words hard
Academic and domain-specific vocabulary acquisition builds on the habit of discussing word meanings and linking new vocabulary to known words
- Defining Words soft
Defining academic words requires the ability to define words by category and attribute
- How Many in Total? soft
Sorting and categorising objects uses the same counting/cardinality skills from maths
- One-to-one counting hard
Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'
- Inferring Characters' Feelings and Motives hard
Character analysis builds on KS2 inferring feelings, thoughts, and motives
- Predicting what happens next soft
Drawing inferences about characters' feelings and justifying them with evidence is enriched by prior experience predicting what might happen next — both require reading ahead of the literal text
- Reading between the lines hard
Inferring characters' feelings/motives with evidence builds on identifying key details and making simple inferences
- Self-Correcting While Reading soft
Inferring and justifying inferences with text evidence requires the metacognitive habit of checking that the text makes sense as you read — a reader who doesn't self-monitor will miss the cues on which inference depends
- Monitoring Comprehension soft
Self-correcting while reading requires the awareness that decoding correctly is not the same as understanding
- Feeling of not understanding soft
Noticing the decoding/understanding gap is the English-specific form of the universal comprehension-monitoring habit
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Reading for Meaning hard
Noticing the gap between decoding and understanding requires first having the foundational idea that reading means making meaning
- Feeling of not understanding soft
Understanding that reading means making meaning is the English-domain grounding of the universal habit of noticing when you don't understand
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Feeling of not understanding soft
Checking that a text makes sense while reading and self-correcting is the reading-domain form of the universal comprehension-monitoring habit
- Asking for Help hard
Noticing confusion and acting on it requires already knowing that asking for help is a valid response to being stuck
- Reading with Expression and Accuracy soft
Reading comprehension monitoring builds on earlier fluency skills
- Blending Sounds to Read Words soft
Blending helps attempt unfamiliar words but sight words bypass phonics
- Story Sequence and Central Message soft
Drawing inferences about motivations is enriched by the prior ability to understand and discuss the sequence of events and connections between them — inference relies on understanding what happened and in what order
- Main Topic of Informational Texts soft
Understanding main topic and key details of informational texts supports discussing how items of information are related
- Reading with Expression and Accuracy soft
Expressive reading supports comprehension of sequence and meaning
- Blending Sounds to Read Words soft
Blending helps attempt unfamiliar words but sight words bypass phonics
- Domain Vocabulary Across Subject Areas soft
Drawing inferences from complex texts requires academic vocabulary for reasoning about evidence and argument
- Discussing and Questioning New Words hard
Academic and domain-specific vocabulary acquisition builds on the habit of discussing word meanings and linking new vocabulary to known words
- Defining Words soft
Defining academic words requires the ability to define words by category and attribute
- How Many in Total? soft
Sorting and categorising objects uses the same counting/cardinality skills from maths
- One-to-one counting hard
Cardinality principle builds on one-to-one correspondence — you must count correctly to know the last number tells 'how many'
Unlocks1
- Performing Scripts & PoetrysoftAges 11—14