Support · Stage 5 · Algebraic techniques A
Support Expand binomial products algebraically using the distributive law or consider areas of rectangles as a possible method of expansion
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.
Prerequisite dot points
Apply the distributive law to expand and simplify algebraic expressions by removing grouping symbols
Stage 4 · Algebraic techniques Draft mapping
- 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.
- PhET Area Model AlgebraUse it for: Show expanding brackets and binomial products as rectangle areas.
- 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.
- 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.
Generate a number pattern from an algebraic expression
Stage 4 · Algebraic techniques Draft mapping
No checked resources on this prerequisite dot point yet.
Substitute numbers into algebraic expressions and evaluate the result
Stage 4 · Algebraic techniques Draft mapping
- PhET Expression ExchangeUse it for: Collect like terms by dragging coins/variables together; game screens for practice.
- Interactive toolStarterMaths Is Fun: SubstitutionUse it for: Substituting values into expressions.
- Corbettmaths practice questions: Algebra: substitutionUse it for: Free printable graded practice questions (with answers) on algebra: substitution for drill or a quick check.
- WorksheetDrillKuta free worksheet: Evaluating algebraic expressionsUse it for: Printable skills-practice sheet with answer key on evaluating algebraic expressions; good for drill or homework.
- WorksheetDrillKuta free worksheet: Evaluating variable expressions (substitution)Use it for: Printable skills-practice sheet with answer key on evaluating variable expressions (substitution); good for drill or homework.
- VideoStarterCorbettmaths video: Algebra: substitutionUse it for: Short worked-example video on algebra: substitution 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.