Y10 Foundation: Topic 6: Algebra and Linear equations

Objectives:

Simplify algebraic expressions in one or more like terms, by adding and subtracting

Understand the difference between the word ‘equation’, ‘formula’, ‘identity’ and ‘expression’

Multiply and divide with letters and numbers

Solve linear equations with one, or more, operations

Solve linear equations involving a single pair of brackets

Solve linear inequalities in one variable and present the solution set on a number line

Prior Knowledge:

Experience of using a letter to represent a number

Ability to use negative numbers with the four operations

Experience of finding missing numbers in calculations

The idea that some operations are ‘opposite’ to each other

An understanding of balancing

Experience of using letters to represent quantities

Be able to draw a number line

Key Vocabulary:

Copy and paste here.

Differentiation & Extension:

Further work on collecting like terms, involving negative terms

Collecting terms where each term may consist of more than one letter, eg 3ab + 4ab

Derive equations from practical situations (such as angle calculations)

Solve equations where manipulation of fractions (including the negative fractions) is required

Solve linear inequalities where manipulation of fractions is required

Using & Applying ideas:

Collaborate here.

NOTES

Explanations about mathematical terminology should be tailored to suit the ability of the group

Emphasise correct use of symbolic notation, eg 3x rather than 3 × x

Present all work neatly, writing out the questions with the answers to aid revision at a later stage

Students need to realise that not all linear equations can easily be solved by either observation or trial and improvement, and hence the use of a formal method is vital

Students can leave their answers in fractional form where appropriate

Interpreting the direction of an inequality is a problem for many students

## Y10 Foundation: Topic 6: Algebra and Linear equations

## Objectives:

Prior Knowledge:## Key Vocabulary:

## Differentiation & Extension:

ab+ 4ab## Using & Applying ideas:

NOTESxrather than 3 ×x## Teaching & Learning Resources:

3D Shapes Resources