Support · Stage 5 · Algebraic techniques B (Path)
Support Factorise algebraic expressions, including those involving indices, by determining the highest common factors (HCF) including negative coefficients /pronumerals
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
Factorise algebraic expressions using knowledge of factors and finding the highest common numerical factor (HCF)
Stage 4 · Algebraic techniques Draft mapping
- Interactive toolStarterMaths Is Fun: Factoring in algebraUse it for: Factorising by taking out common factors.
- Interactive toolStarterMathsbot: Algebra TilesUse it for: Algebra tiles for expanding and factorising.
- 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.
- Corbettmaths practice questions: FactorisationUse it for: Free printable graded practice questions (with answers) on factorisation for drill or a quick check.
- VideoStarterCorbettmaths video: FactorisationUse it for: Short worked-example video on factorisation to model the method before practice or for flipped revision.
Factorise algebraic expressions using knowledge of factors by finding a common algebraic factor, including expressions involving more than 2 terms, and verify the result by expansion
Stage 4 · Algebraic techniques Draft mapping
- Interactive toolStarterMaths Is Fun: Factoring in algebraUse it for: Factorising by taking out common factors.
- Corbettmaths practice questions: FactorisationUse it for: Free printable graded practice questions (with answers) on factorisation for drill or a quick check.
- VideoStarterCorbettmaths video: FactorisationUse it for: Short worked-example video on factorisation to model the method before practice or for flipped revision.
Expand algebraic expressions, including those with negative coefficients
Stage 5 · Algebraic techniques A Draft mapping
- 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.
- 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.