The minuend is the number being subtracted from.

A subtrahend is a number subtracted from another. There can be more than one.

A numerator is the top number in a fraction. It shows how many parts we have.

A denominator is the bottom number in a fraction. It shows how many parts a whole has been divided into.

Subtract fractions from a whole by converting the whole to a fraction

Maths

Use repeated addition of a unit fraction to form a non-unit fraction

Use repeated addition of a unit fraction to form 1

Add fractions with the same denominator

Add on fractions with the same denominator

Add fractions with the same denominator and generalise the rule

Subtract fractions with the same denominator

Add and subtract fractions with the same denominator in a range of contexts

Explain that addition and subtraction of fractions are inverse operations

Substitute a fraction representing a whole to solve subtraction problems

In this unit pupils will use repeated addition of a unit fraction to form a non-unit fraction. They will compare non-unit fractions with the same denominator. They will add and subtract fractions with the same denominator. In the future unit pupils will identify equal parts when they do not look the same related to equivalence. They will construct a whole when given a part and the number of parts.

In the prior unit pupils explained that non-unit fractions are composed of more than one unit fraction using knowledge of unit fractions to find one whole. In this unit pupils will use repeated addition of a unit fraction to form a non-unit fraction. They will compare non-unit fractions with the same denominator. They will add and subtract fractions with the same denominator.

In this unit pupils will use repeated addition of a unit fraction to form a non-unit fraction. They will compare non-unit fractions with the same denominator. They will add and subtract fractions with the same denominator.

Composition of non-unit fractions: addition and subtraction

When the numerator and denominator are the same, the fraction is __________  one whole.

is the number of fifths equal to one whole.

is the number of tenths equal to one whole.

 is the number of thirds equal to one whole.

is the number of quarters equal to one whole.

Match the number of fractional parts to the whole.

Which of these fractions are equivalent to 1?

Sam has a full bottle of bubble mixture.
She uses one-sixth of the mixture to blow some bubbles.
What fraction of the bubble mixture remains?

Izzy has a multipack of 10 juice blast drinks.
She drinks one on Sunday, Wednesday and Friday.
What fraction of the multipack is left?

What is the missing fraction in this equation?

What is the missing fraction in this bar model?

$$ \frac{9}{10} $$ − $$ \frac{3}{10} $$ = $$ \frac{6}{10} $$ 

$$ \frac{9}{10} $$ − $$ \frac{6}{10} $$ = $$ \frac{3}{10} $$ 

$$ \frac{3}{10} $$ + $$ \frac{9}{10} $$ = $$ \frac{9}{10} $$ 

Which equation is shown on the number line?

Aisha and Alex share a pizza cut into 8 slices. Alex eats five-eighths of the pizza.
How much does Aisha eat? Aisha eats ___ of the pizza.

$$ \frac{8}{12} $$ − $$ \frac{5}{12} $$ = $$ \frac{13}{12} $$

$$ \frac{8}{12} $$ − $$ \frac{5}{12} $$ = $$ \frac{3}{12} $$

$$ \frac{8}{12} $$ − $$ \frac{5}{12} $$ = $$ \frac{3}{0} $$

$$ \frac{8}{12} $$ − $$ \frac{5}{12} $$ = $$ \frac{3}{24} $$

A full box of eggs contains 12 eggs. First there were 8 eggs in the box, then 5 were used to make pancakes. Which equation matches this problem?

$$ \frac{7}{8} $$ − $$ \frac{4}{8} $$ = $$ \frac{3}{8} $$

$$ \frac{3}{8} $$ − $$ \frac{4}{8} $$ = $$ \frac{7}{8} $$

$$ \frac{7}{8} $$ + $$ \frac{3}{8} $$ = $$ \frac{4}{8} $$ 

Which equation is the inverse of $$ \frac{3}{8} $$ + $$ \frac{4}{8} $$ = $$ \frac{7}{8} $$? 

$$ \frac{12}{15} $$ − $$ \frac{9}{15} $$ = $$ \frac{3}{15} $$

$$ \frac{9}{15} $$ − $$ \frac{3}{15} $$ = $$ \frac{12}{15} $$

$$ \frac{9}{15} $$ + $$ \frac{3}{15} $$ = $$ \frac{12}{15} $$

$$ \frac{3}{15} $$ + $$ \frac{9}{15} $$ = $$ \frac{12}{15} $$

Which of the additive equations are correct for this bar model?

Subtract fractions from a whole by converting the whole to a fraction

Lesson outcome