## ALGEBRAIC TECHNIQUES

## OVERVIEW

Building on understanding of equivalence from Year 7, students will learn how to expand over a single bracket and factorise. All students will revisit and extend their knowledge of how to solve linear equations, now to include brackets and the unknown on both sides. Students will also understand how to solve formal inequalities for the first time, learning the meaning of a solution set.

Following this learners will look at sequences with more complex algebraic rules now that students are familiar with a wider range of notation.

Lastly learners will explore the ideas behind the addition and subtraction laws of indices which will be revisited when standard form is revisited when standard form is studied next term.

Medium term plan found here:

**Brackets, equations and inequalities**

Lesson 1 – Forming Expressions

Lesson 2 – Expanding single brackets

Lesson 3 – Working with multiple single brackets

Lesson 4 – Expanding double brackets

Lesson 5 – Factorising single brackets

Lesson 6 – Solving equations with brackets

Lesson 7 – Understanding inequalities

Lesson 8 – Solving inequalities

Lesson 9 – Unknowns on both sides

Lesson 10 – Unknowns on both sides with brackets

Lesson 11 – Ratio and equations

**Sequences**

Lesson 12 – Generating sequences from words

Lesson 13 – Generating sequences from an algebraic rule

Lesson 14 – Finding the nth term of a linear sequence

Lesson 15 – Working with the nth term of a linear sequence

Lesson 16 – Fibonacci Sequences and algebra

**Laws of Indices**

Lesson 17 – Manipulating expressions involving indices

Lesson 18 – Addition Law

Lesson 19 – Subtraction Law

Lesson 20 – Power of powers

Updated July 2024