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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA5-8
New NZC (2026)
NZC26-P4-ALG-ER-P-Y9-01NZC26-P3-ALG-ER-K-Y8-02NZC26-P3-ALG-ER-P-Y8-04
Resources
- Alpha textbook: Understanding the distributive rule, Ex 15.01, pg 242
- Alpha textbook: Simple expanding, Ex 15.02, pg 242
- Alpha textbook: Expansions with a negative number, Ex 15.03
- Alpha textbook: Expanding with numbers inside brackets, Ex 15.04, pg 243
- Alpha textbook: More complex expanding, Ex 15.05, pg 244
- Alpha textbook: Expanding with a pronumeral in front of the brackets, Ex 15.06, pg 245
- Alpha textbook: Expanding with a number and pronumeral in front of the brackets, Ex 15.07, pg 245
- Alpha textbook: Expanding and collecting like terms, Ex 15.08, pg 247
- Dr Austin Maths - Expanding Single Brackets Practice GridQuestions PDF · Answers
- CorbettMaths on expanding single bracketsQuestions PDF · Answers
- Beta: Single Skills in Chapters 9, pg 167
- Beta: Double Skills in Chapters 11, pg 200-203
- Beta: Single brackets: Ex 9.01 to Ex 9.03, pgs 168 to 169 and Parallel Skills 9B, pg 170
- Beta: Double brackets: Ex 11.04 to 11.07, pgs 201 to 204
Terminology
- bracket
- expand
- distribute
- term
- coefficient
Task goals
- Expand a single bracket by multiplying the term outside the bracket by every term inside it, e.g. $2(y+5)$ or $2x(5x+3)$.
- Expand a bracket with a negative term outside it, e.g. $-(2m+7)$, taking care with the signs of every term produced.
- Expand and simplify an expression that combines an expanded bracket with extra terms outside it, e.g. $2(4x+1)+3$.
- Expand two separate brackets and collect like terms to simplify the result, e.g. $-3(x-4)+2(x-2)$.
- Form and expand an expression for the area of a rectangle whose side length is written as a bracket, e.g. length $(x+4)$ and width $3$.
- Check whether an expanded expression is equivalent to the original bracketed expression, including spotting a sign error.
Where this fits
What leads into this objective, and where it goes next.
You are here
Expanding single brackets
Do
Simplifying and manipulating algebraic expressions involving sums, products, differences, and positive integer powers, by: collecting like terms; factorising using common factors; expanding products, including multiplying a single term by a bracketed term.
Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y9-01
Also under NA5-8:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.