Ensure pupils are encouraged to estimate expressions, showing how this can be more efficient particularly when looking to compare expressions. The product is not always needed.

Keywords

Mixed number - A whole number and a fraction can be combined to form a mixed number.
Compare - You compare to find out what is the same and what is different. You can compare numbers or expressions to find out if one is greater than or less than another.
Partitioning - Partitioning is the act of splitting an object or value into smaller parts.

Encourage pupils to continue estimating the product prior to actually calculating. This should also encourage pupils to calculate mentally where they feel they can.

Teacher tip

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Starter quiz

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6 Questions

Q1.

Tick the numbers greater than 1

$$ \frac{4}{9} $$

$$ \frac{7}{9} $$

$$ \frac{9}{9} $$

Correct answer: $$ \frac{12}{9} $$

Correct answer: $$ 1\frac{2}{9} $$

Q2.

Tick expressions where the product would be greater than one whole.

$$ \frac{4}{9} $$ × 2

$$ \frac{2}{6} $$ × 3

Correct answer: $$ \frac{5}{6} $$ × 2

$$ \frac{7}{8} $$ × 1

Correct answer: $$ \frac{5}{7} $$ × 3

Q3.

Tick the correct symbol to compare these two expressions.

Correct answer: <

Q4.

Tick the correct symbol to compare these two expressions.

Correct answer: >

Q5.

Write in the missing number.

Correct Answer: 8, eight

Q6.

Tick the correct product. $$ 5\frac{2}{7} $$ × 3 =

$$ 15\frac{3}{21} $$

$$ 15\frac{2}{7} $$

Correct answer: $$ 15\frac{6}{7} $$

$$ 5\frac{6}{7} $$

$$ 15\frac{6}{21} $$

Exit quiz

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6 Questions

Q1.

Tick the correct symbol to compare these two expressions.

Correct answer: =

Q2.

Write in the missing product. 2 × $$ 3\frac{4}{8} $$ =

Correct Answer: 7, seven

Q3.

Tick the correct symbol to compare these two expressions.

Correct answer: <

Q4.

Tick the largest expression.

3 × $$ 2\frac{4}{9} $$

Correct answer: 4 × $$ 2\frac{4}{9} $$

3 × $$ 2\frac{4}{9} $$

Q5.

Tick the expressions that match this problem. Andeep walks the dog $$ 2\frac{1}{4} $$ km. He does this 3 times a week.

$$ 2\frac{1}{2} $$ × 3

Correct answer: $$ 2\frac{1}{4} $$ × 3

Correct answer: 3 × $$ 2\frac{1}{4} $$

4 × $$ 2\frac{1}{3} $$

$$ 2\frac{1}{4} $$ × $$ \frac{1}{3} $$

Q6.

Tick the expressions that are true.

$$ 1\frac{1}{2} $$ × 4 = $$ 4\frac{1}{2} $$

Correct answer: $$ 1\frac{1}{4} $$ × 4 = 5

Correct answer: $$ 1\frac{3}{4} $$ × 4 = 7

4 × $$ 1\frac{1}{5} $$ = $$ 1\frac{4}{5} $$

$$ 1\frac{1}{10} $$ = 4 × $$ \frac{4}{10} $$