numberandalgebra path adv

📖 Prior Knowledge

ContentPrerequisite relationships
Multiplicative Relations A- Multiply using the area model and distributive property → Expand binomial products
Algebraic Techniques- Expand brackets using the distributive law → Expand binomial products
- Factorise by taking out the HCF → Factorise by taking out a common algebraic factor
Algebraic Techniques A- Simplify algebraic fractions with numerical denominators → Simplify algebraic fractions involving indices
- Expand binomial products (revisited content)
Indices A- Apply index laws to algebraic terms → Simplify algebraic fractions involving indices
- Apply index laws to algebraic terms → Factorise by taking out a common algebraic factor

Apply the 4 operations involving algebraic fractions with pronumerals in the denominator.pdf

  • Simplify algebraic fractions, including those involving indices
  • Simplify expressions that involve operations with algebraic fractions, including algebraic fractions that involve pronumerals in the denominator and/or indices

Factorise algebraic expressions by taking out a common algebraic factor.pdf

  • Factorise algebraic expressions, including those involving indices, by determining the highest common factors (HCF) including negative coefficients/pronumerals

Expand binomial products and factorise monic quadratic expressions.pdf

  • Expand binomial products
  • Factorise monic quadratic trinomial expressions
  • Solve problems involving expansion and factorisation of algebraic expressions