Real-World to Maths Connections
METAMove between a real-world situation and a mathematical representation using concrete objects, drawings, diagrams, tables, number sentences, or bar models
Mastery Evidence
- Given a story about combining groups, represent it with counters or cubes and find the total
- Given a set of objects, tell a simple addition or subtraction story to match
- Connect a physical action (putting together, taking away) to the matching operation
Assessment Prompt
“If [child] is working out a real-life maths problem — like sharing 8 sweets between 2 people — can they use objects or draw a picture to show what's happening before writing any numbers?”
Prerequisites2
- Representing Addition and SubtractionsoftAges 4—6
- Addition and subtraction word problemssoftAges 4—6
Show full prerequisite tree
- Representing Addition and Subtraction soft
Representing addition/subtraction with objects and drawings is the core exercise of early quantitative reasoning
- Addition as combining or putting together two hard
Representing addition with objects/drawings requires understanding what addition means
- 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'
- Subtraction as taking away or separating hard
Representing subtraction with objects/drawings requires understanding what subtraction means
- How Many in Total? hard
Understanding subtraction as taking away 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'
- Addition and subtraction word problems soft
Solving word problems within 10 with objects requires translating between situation and representation
- Representing Addition and Subtraction hard
Solving word problems within 10 requires ability to represent the operations with objects/drawings
- Addition as combining or putting together two hard
Representing addition with objects/drawings requires understanding what addition means
- 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'
- Subtraction as taking away or separating hard
Representing subtraction with objects/drawings requires understanding what subtraction means
- How Many in Total? hard
Understanding subtraction as taking away 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'
Unlocks1
- Connecting RepresentationshardAges 6—7