Learning Objectives:
What linear inequalities are.
How to solve linear inequalities in one variable and represent
the solution on a number line.
How to apply linear inequalities to solve real-world problems
What quadratic expressions are.
How to add, subtract, expand, factorise and simplify quadratic expressions.
How to simplify algebraic expressions in two or more variables involving squares and cubes.
How to expand algebraic expressions of the form (𝑎+𝑏)(𝑐+𝑑).
How to factorise algebraic expressions of the form 𝑎𝑐+𝑎𝑑+𝑏𝑐+𝑏𝑑.
What the three special algebraic identities are.
How to apply the three special algebraic identities to expand and factorise algebraic expressions.
Why the three special algebraic identities have useful applications in mathematics.
How to solve quadratic equations by factorization.
What quadratic functions and the properties of their graphs are.
How to draw graphs of quadratic functions.
Why quadratic equations and quadratic functions have useful applications in mathematics and in real-world contexts.