By the end of this unit, students will be able to:
- understand the concept of substitutions and their role in simplifying algebraic expressions and solving equations;
- apply substitution techniques to solve equations and simplify expressions;
- recognize situations where substitutions can be helpful and choose appropriate substitutions.
Curriculum Alignment: Key Stage 4: Algebra
- simplify and manipulate algebraic expressions (including those involving surds {and algebraic fractions}) by:
- factorising quadratic expressions of the form x2 + bx + c, including the difference of 2 squares; {factorising quadratic expressions of the form ax2 + bx + c}
- simplifying expressions involving sums, products and powers, including the laws of indices