Stage 4 · Algebraic techniques · Extend and apply the distributive law to the expansion of algebraic expressions · Topic: Algebraic techniques · Year 7, 8
Apply the distributive law to expand and simplify algebraic expressions by removing grouping symbols
Dot point ID k-10-2022-stage-4-algebraic-techniques/alg-eat-stg4-02 · NESA code MA_K_10_CP_ALG_EAT_STG4_02 · See it on the NSW Curriculum website ↗
↩SupportBuild the prerequisite skills first · 0 resources★EnrichExtension & rich tasks · 6 resources
Outcomes for this focus area (MA4-ALG-C-01)
MA4-ALG-C-01 generalises number properties to operate with algebraic expressions including expansion and factorisationCore resources for this dot point
On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.
Interactive tool
- Mathigon PolypadUse it for: Virtual manipulatives: fraction bars, algebra tiles, cubes and polygons.
- Interactive toolStarterMathsbot: Algebra TilesUse it for: Algebra tiles for expanding and factorising.
- Interactive toolStarterMathsbot: ManipulativesUse it for: Virtual manipulatives incl. algebra tiles, two-colour counters, fraction walls.
- Interactive toolStarterPolypad virtual manipulatives (algebra tiles, fraction bars, number lines)Use it for: Free virtual manipulatives; use algebra tiles to model expanding/factorising or fraction bars for equivalence.
Simulation
- PhET Area Model AlgebraUse it for: Show expanding brackets and binomial products as rectangle areas.
Worksheet
- Corbettmaths practice questions: Algebra: expanding bracketsUse it for: Free printable graded practice questions (with answers) on algebra: expanding brackets for drill or a quick check.
- WorksheetDrillKuta free worksheet: Distributive property with area diagramsUse it for: Printable skills-practice sheet with answer key on distributive property with area diagrams; good for drill or homework.
- WorksheetDrillKuta free worksheet: The distributive propertyUse it for: Printable skills-practice sheet with answer key on the distributive property; good for drill or homework.
- Variation Theory sequences: Expand single bracketsUse it for: Intelligent-practice sequences on expand single brackets where one thing changes at a time; ask students to predict before answering.
Video
- VideoStarterCorbettmaths video: Algebra: expanding bracketsUse it for: Short worked-example video on algebra: expanding brackets to model the method before practice or for flipped revision.
- VideoStarterEddie Woo (WooTube): Basic Algebraic Techniques playlistUse it for: Sydney teacher Eddie Woo's recorded lessons on algebraic techniques; play a clip to model a method or for revision.
Focus area resources
Checked resources for Algebraic techniques as a whole (not mapped to a single dot point).
- Unit/PlanningStage 4 Unit 12 – further multiplicative thinking (sample unit of learning)
- Unit/PlanningStage 4 Unit 4 – additive thinking (sample unit of learning)
- Unit/PlanningStage 4 Unit 5 – multiplicative thinking (sample unit of learning)
- Unit/PlanningStage 4 Unit 7 – length and area (sample unit of learning)