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Years 3 to 6

Fraction Forest

Fraction Forest covers fractions, decimals and percentages, starting with tenths and shaded shapes in Year 3 and building up to comparing, simplifying and converting in Year 6.

Pictures lead the way: shaded shapes, fraction bars and number lines help children see what a fraction means before working with the numbers.

Year 3: what fraction is shaded?
Year 3: what fraction is shaded?
Year 4: equivalent fractions with bars
Year 4: equivalent fractions with bars
Year 5 and 6: mixed numbers on a number line
Year 5 and 6: mixed numbers on a number line

Years 3 and 4: getting started

The Year 3 and 4 skills. Younger children start here, and older children can use them for a recap.

Tenths

Split one whole into 10 equal parts. Each part is one tenth, 1/10.

  • tenths on a number line
  • count in tenths
  • 1/10 of a number

Fractions of shapes and amounts

The bottom number says how many equal parts. The top number says how many you have.

  • what fraction is shaded?
  • 1/4 of 20, and more
  • 3/4 of 12, and more

Adding fractions within one whole

When the bottom numbers are the same, add or take away the top numbers.

  • adding
  • taking away
  • the same amount

Hundredths and decimals

1/10 = 0.1 and 1/100 = 0.01. Dividing by 10 or 100 moves the digits to the right.

  • tenths as decimals
  • hundredths as decimals
  • ÷ 10 and ÷ 100
  • halves and quarters

Rounding decimals to whole numbers

Look at the tenths. 5 or more: round up. 4 or less: stay the same.

  • to the nearest whole number
  • exactly halfway
  • which is bigger?

Years 5 and 6: next steps

The Year 5 and 6 skills, building up to the KS2 SATs.

Fractions on a number line

Count the jumps. How many parts make one whole? That is the bottom number.

  • between 0 and 1
  • decimals in tenths
  • past 1
Method card: Equivalent fractions

Equivalent fractions

Equivalent fractions are the same amount. Multiply or divide the top and bottom by the same number.

  • find the top number
  • find the bottom number
  • divide down
Method card: Equivalent fractions

Simplifying fractions

Divide the top and bottom by the same number until you can’t any more.

  • smaller numbers
  • bigger numbers
Method card: Equivalent fractions

Improper fractions and mixed numbers

An improper fraction has a top number bigger than the bottom. A mixed number has wholes and a fraction.

  • improper → mixed
  • mixed → improper
Method card: Equivalent fractions

Comparing and ordering fractions

Which fraction is bigger? Same bottom numbers make it easy. If not, make them the same.

  • same bottom number
  • same top number
  • different bottoms
  • smallest or biggest of three
Method card: Comparing fractions

Decimal place value

Each place is 10 times smaller as you go right: ones, tenths, hundredths, thousandths.

  • value of a decimal digit
  • value of a digit in big numbers
  • put the parts together

Rounding

Look at the next digit. 5 or more: round up. 4 or less: stay the same.

  • whole numbers
  • decimals
Method card: Rounding

Comparing and ordering decimals

Line up the decimal points. Longer numbers are not always bigger!

  • which is bigger
  • smallest or biggest of three
Method card: Comparing decimals

Fractions and decimals

Change fractions into decimals and back again. Tenths and hundredths are the key.

  • fraction → decimal
  • decimal → fraction
  • tenths and hundredths
Method card: Fractions, decimals, percentages

Percentages, fractions and decimals

Percent means "out of 100". Move between percentages, decimals and fractions.

  • decimal → %
  • fraction → %
  • % → decimal
  • % → fraction
Method card: Fractions, decimals, percentages

How Fraction Forest works

  • A short, no-pressure quick check finds the right starting point. It isn’t a test.
  • Every question can be read aloud, and hints show a picture first.
  • Each level has its own boss battle, unlocked once your child has had plenty of practice.
  • Practice is untimed.