Higher Tier

This is a complete lesson on vector calculations that looks at how to express vectors, including as column vectors, and how to find the length of a vector. The lesson…

This is a complete lesson on vector notation that looks at how to express vectors, including as column vectors, and how to find the length of a vector. The lesson…

In this unit, students will learn some advanced algebra skills. They will start by working with fractions, looking initially at rationalising the denominator of surd fractions, and then simplifying and…

This is a complete lesson on composite functions that looks at how to find the effects of combinations of functions. The lesson is designed with the new GCSE specification in…

This is a complete lesson on inverse functions that looks at how to find and check the inverse of an algebraic function. The lesson is designed with the new GCSE…

This is a complete lesson on function notation that looks at how to correctly express, add, subtract and find multiples of algebraic functions. The lesson is designed with the new…

This is a complete lesson on adding and subtracting algebraic fractions that extends the methods for adding and subtracting fractions to fractions containing algebraic terms. The lesson is designed with…

This is a complete lesson on multiplying and dividing algebraic fractions that extends the methods for multiplying and dividing fractions to fractions containing algebraic terms. The lesson is designed with…

This is a complete lesson on simplifying algebraic fractions that looks at how to write an algebraic fraction in its simplest form by cancelling common factors (including expressions). The lesson…

This is a complete lesson on rationalising denominators that will teach students how to write surd expressions with rational denominators. The lesson is designed with the new GCSE specification in…

This is a complete lesson on equations of tangents that looks at how to calculate the equation of a tangent to a circle at a given point. The lesson is…

In this unit, students will learn about coordinate geometry in the context of circles. They will start by finding the equation of tangents to the circle at a point by…