Algebraic Techniques C

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Algebraic techniques C (Path) | NSW Curriculum Website

• MA5-ALG-P-02 selects and applies appropriate algebraic techniques to operate with algebraic fractions, and expands, factorises and simplifies algebraic expressions

📖 Prior Knowledge

Content	Prerequisite relationships
Algebraic Techniques	- Expand brackets using the distributive law → Add and subtract algebraic fractions with binomial numerators
Algebraic Techniques A	- Expand binomial products → Prove and apply special products
Algebraic Techniques B	- Operate with algebraic fractions with pronumerals in the denominator → Add and subtract algebraic fractions with binomial numerators - Operate with algebraic fractions with pronumerals in the denominator → Simplify algebraic fractions by factorising - Factorise monic quadratic trinomials → Factorise using special products and grouping

Operate with algebraic fractions involving binomial numerators and numerical denominators.pdf

• Add and subtract algebraic fractions with binomial numerators and numerical denominators

Expand, factorise and simplify algebraic expressions including special products.pdf

• Prove and apply these special products $(a-b)(a+b)=a^2-b^2$, $(a+b{)}^2=a^2+2ab+b^2$, $(a-b{)}^2=a^2-2ab+b^2$
• Expand and simplify a variety of algebraic expressions including binomial products and the special products
• Factorise algebraic expressions involving the special products and strategies, including common factors, grouping in pairs for 4-term expressions and quadratic trinomials (monic and non-monic)
• Simplify algebraic expressions involving algebraic fractions using factorisation