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Expanding Single Brackets

PROCEDURAL
Mathematics›Algebra|Ages 11—13|ID: mt_FX4a2Q8XXN

Expand (multiply out) a single term over a bracket using the distributive property, e.g., 3(2x + 5) = 6x + 15; expand expressions involving negative multipliers

Mastery Evidence

  • Multiply a single positive term over a bracket to expand the expression
  • Multiply a negative term over a bracket, correctly handling signs
  • Combine expanding brackets with collecting like terms to simplify fully

Assessment Prompt

“Can [child] expand a bracket like 3(2x + 5) by multiplying everything inside, to get 6x + 15?”

Curriculum Standards3 alignments

6.EE.3Common Core State Standards for Mathematics
Apply Properties of Operations

Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

EE
7.EE.1Common Core State Standards for Mathematics
Apply properties of operations to linear expressions

Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

EE
KS3.Maths.Alg.4bThe national curriculum in England
Simplify Expressions: Multiplying Over a Bracket

simplify and manipulate algebraic expressions to maintain equivalence by: multiplying a single term over a bracket

Mathematics · Key Stage 3

Prerequisites1

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