Stage 5 · Algebraic techniques A · Apply the distributive law to the expansion of algebraic expressions, and collect like terms where appropriate · Topic: Algebraic techniques · Year 9, 10
Expand binomial products algebraically using the distributive law or consider areas of rectangles as a possible method of expansion
Dot point ID k-10-2022-stage-5-algebraic-techniques-a/ala-apd-stg5-03 · NESA code MA_K_10_CP_ALA_APD_STG5_03 · See it on the NSW Curriculum website ↗
↩SupportBuild the prerequisite skills first · 17 resources★EnrichExtension & rich tasks · 1 resource
Outcomes for this focus area (MA5-ALG-C-01)
MA5-ALG-C-01 simplifies algebraic fractions with numerical denominators and expands algebraic expressionsCore resources for this dot point
On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.
Interactive tool
- Interactive toolStarterMaths Is Fun: ExpandingUse it for: Expanding brackets explained with area diagrams.
- 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 two bracketsUse it for: Free printable graded practice questions (with answers) on algebra: expanding two brackets for drill or a quick check.
- WorksheetDrillKuta free worksheet: Multiplying binomialsUse it for: Printable skills-practice sheet with answer key on multiplying binomials; good for drill or homework.
- Variation Theory sequences: Expand double bracketsUse it for: Intelligent-practice sequences on expand double brackets where one thing changes at a time; ask students to predict before answering.
Video
- VideoStarterCorbettmaths video: Algebra: expanding two bracketsUse it for: Short worked-example video on algebra: expanding two brackets to model the method before practice or for flipped revision.
Focus area resources
Checked resources for Algebraic techniques A as a whole (not mapped to a single dot point).