A product in algebra is the result of two or more terms multiplied together.

Multiplicative relationships between terms

Maths

Checking and securing understanding of the distributive law with algebraic terms

Checking and securing solving linear equations

The product of two binomials

Difference of two squares

More complex binomial products

Additive relationships

Changing the subject with simple formula

Changing the subject with more complex formula

Changing the subject to suit the context

Evaluating expressions with and without changing the subject

Problem solving with expressions and formulae

In this unit, pupils use the distributive law to find the product of two binomials. In algebraic manipulation, pupils use apply this knowledge in order to factorise quadratics.

In the prior unit, pupils learnt how to rearrange an equation to find a specific value that satisfied the equation. In expressions and formulae, pupils use their understanding of rearrangement to change the subject of a formula.

This unit develops pupil understanding of formulae and how to rearrange them. Pupils will learn how to recognise and manipulate binomials and learn to recognise the difference of two squares.

Expressions and formulae

In algebra, the product is the result of two or more __________ multiplied together.

Which of these equations are valid rearrangements of the generalisation $$a\times{b}=c$$ ?

The area of a parallelogram can be found using the formula $$A=b\times{h}.$$ Which of these are correct rearrangements of the formula?

The circumference of a circle can be found using the formula $$C=2{\pi}r.$$ Which of these are correct rearrangements of the formula?

Sofia wants to rearrange the equation $${y\over{3x}}=z$$ into the form $$y=\square$$. Which first step would be most efficient for Sofia to apply to both sides of the equation?

Which of these equations is an arrangement of $${2c\over7de}=5d^2$$ ?

In the multiplication 7 × 8 = 56, you call 56 the __________ of 7 and 8.

Which other related facts make up the fact family for 7 × 8 = 56?

132 × 17 = 2244, so 132 is a __________ of 2244.

Which of these is equivalent to the division $$20\div5$$?

Match each expression to its simplified form.

Which of these expressions is the reciprocal of $$3\over{xy^2}$$?

Starter Quiz

In the multiplication 7 × 8 = 56, you call 56 the __________ of 7 and 8.