# Checking and securing understanding of the distributive law with algebraic terms

I can use the distributive law to multiply an expression by a term.

# Checking and securing understanding of the distributive law with algebraic terms

I can use the distributive law to multiply an expression by a term.

## Lesson details

### Key learning points

- The distributive law can be understood using an area model.
- The distributive law can help us multiply an expression by a term.
- The expression may contain any number of terms.

### Common misconception

Pupils forget to multiply every term in the bracket by the term outside the bracket.

Remind pupils about the distributive law with numerical examples, e.g. 4(3 + 7) and show that this is not equivalent to 12 + 7. Using algebra tiles can also help pupils to make sense of this skill.

### Keywords

Distributive law - The distributive law says that multiplying a sum is the same as multiplying each addend and summing the result.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

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## Starter quiz

### 6 Questions

$$3 \times 2x$$ -

$$6x$$

$$3 \times -2x$$ -

$$-6x$$

$$-3 \times -x$$ -

$$3x$$

$$x \times 2x$$ -

$$2x^2$$

$$-x \times 2x$$ -

$$-2x^2$$

$$-3x \times -2x$$ -

$$6x^2$$

$$-x \times -x$$ -

$$x^2$$

$$2x \times x$$ -

$$2x^2$$

$$2x \times y$$ -

$$2xy$$

$$-2y \times x$$ -

$$-2xy$$

$$x \times -y$$ -

$$-xy$$

## Exit quiz

### 6 Questions

$$4x(x - 6)$$ -

$$4x^2 - 24x$$

$$4x(x + 6)$$ -

$$4x^2 + 24x$$

$$-4x(x - 6)$$ -

$$-4x^2 + 24x$$

$$-2x(-2x + 3)$$ -

$$4x^2 -6x$$

$$-2x(2x - 3)$$ -

$$-4x^2 + 6x$$

$$2x(2x+ 3)$$ -

$$4x^2 + 6x$$