A term is single number or letter, or the product of numbers and/or variables. Each term is separated by the operators + and –

An expression contains one or more terms where each term is separated by an operator.

Simplifying before multiplying with multiple expressions

Maths

Checking understanding of expressions and equations

Securing understanding of expressions and equations

Representing a generalised number

Algebraic notation

Algebraic terminology

Representing an unknown or variable

Generalised algebraic statements

Substituting particular values

Like terms

Simplifying by collecting like terms

Multiplying an expression by a constant

Multiplying an expression by a term

Multiplying and simplifying with multiple expressions

Highest common factor with algebraic terms

Factorising expressions

Problem solving with expressions and equations

In this unit, pupils formalise algebraic notation and terms and begin to formulate an understanding of basic algebraic manipulation. This understanding is built upon in the future unit where pupils learn how to solve linear equations

In this unit, pupils learnt how to represent the structure of a problem with two unknowns using a diagram. This understanding is built upon in this unit and formalised

In this unit, pupils learn about generalisation and formal algebraic manipulation techniques such as substitution, collecting like terms and factorising.

Expressions and equations

When you write $$3(y-8)+9(y-8)$$ as $$12(y-8)$$ you have __________ the expression.

Use this bar model to help you simplify the expression $$5(x+6)+2(x+6)$$

Which of the below cannot be simplified before it is expanded?

Match each expression with a simplified expression.

$$x-4$$ and $$x-5$$ are not matching expressions so you can not simplify.

You have to expand first before simplifying.

Matching multipliers means you can simplify before expanding.

Which of the below is true for $$8y(x-4)+8y(x-5)$$?

Look at $$4(y-7)+8(y-7)$$. Inside each bracket you can see matching __________.

Which of the below is equivalent to $$6 \times 7+2 \times 7$$?

Which of the below are equivalent to $$11 \times 6 + 11 \times 4$$? 

Match the expressions to the correct first step when expanding before simpifying.

This lesson was made for home learning during the pandemic.

Simplifying before multiplying with multiple expressions

Lesson outcome

This lesson was made for home learning during the pandemic.