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Fractions of a Shape
Select the skills to practice, and then click Go!
Foundational skills
Count equal parts in a divided shape
\[ \text{Shape} \rightarrow \text{? parts} \]
Count the number of equal parts.
Identify if parts are equal
\[ \text{Equal parts? Yes/No} \]
Recognise whether parts are equal.
Connect numerator to parts shaded
\[ \frac{3}{5} \rightarrow \text{shade } ? \]
Which number tells us parts to shade?
Connect denominator to total parts
\[ \frac{3}{5} \rightarrow ? \text{ parts} \]
Which number tells us total parts?
Unit fractions – parts equal denominator
Shade for unit fractions – halves, thirds, quarters
\[ \frac{1}{3} \text{ of 3 parts} \rightarrow 1 \]
Shade for 1/2, 1/3, or 1/4.
Shade for unit fractions – fifths to eighths
\[ \frac{1}{6} \text{ of 6 parts} \rightarrow 1 \]
Shade for 1/5, 1/6, 1/7, or 1/8.
Unit fractions – parts are multiple
Shade for one third – various part counts
\[ \frac{1}{3} \text{ of 9} \rightarrow 3 \]
Find 1/3 when shape has 6, 9, or 12 parts.
Shade for one quarter – various part counts
\[ \frac{1}{4} \text{ of 12} \rightarrow 3 \]
Find 1/4 when shape has 8, 12, 16, or 20 parts.
Shade for one fifth or one sixth
\[ \frac{1}{5} \text{ of 15} \rightarrow 3 \]
Find 1/5 or 1/6 with multiples.
Non-unit fractions – parts equal denominator
Shade for 2/3 or 3/4 – matching parts
\[ \frac{2}{3} \text{ of 3} \rightarrow 2 \]
Shade 2/3 or 3/4 when parts match.
Shade for non-unit fifths – 5 parts
\[ \frac{3}{5} \text{ of 5} \rightarrow 3 \]
Shade 2/5, 3/5, or 4/5.
Shade for non-unit sixths – 6 parts
\[ \frac{5}{6} \text{ of 6} \rightarrow 5 \]
Shade 2/6, 4/6, or 5/6.
Shade for non-unit eighths – 8 parts
\[ \frac{5}{8} \text{ of 8} \rightarrow 5 \]
Shade 3/8, 5/8, or 7/8.
Shade for non-unit tenths – 10 parts
\[ \frac{7}{10} \text{ of 10} \rightarrow 7 \]
Shade 3/10, 7/10, or 9/10.
Shade for non-unit twelfths – 12 parts
\[ \frac{7}{12} \text{ of 12} \rightarrow 7 \]
Shade 5/12, 7/12, or 11/12.
Non-unit fractions – parts are multiple
Shade for two thirds – various totals
\[ \frac{2}{3} \text{ of 9} \rightarrow 6 \]
Find 2/3 when shape has 6, 9, 12, or 15 parts.
Shade for three quarters – various totals
\[ \frac{3}{4} \text{ of 12} \rightarrow 9 \]
Find 3/4 when shape has 8, 12, 16, or 20 parts.
Shade for 2/5 or 3/5 – 10 or 15 parts
\[ \frac{3}{5} \text{ of 15} \rightarrow 9 \]
Find 2/5 or 3/5 of 10 or 15 parts.
Shade for four fifths – various totals
\[ \frac{4}{5} \text{ of 15} \rightarrow 12 \]
Find 4/5 of 10, 15, or 20 parts.
Shade for non-unit sixths – 12 or 18 parts
\[ \frac{5}{6} \text{ of 18} \rightarrow 15 \]
Find 2/6, 4/6, or 5/6 of 12 or 18 parts.
Shade for various fractions – larger totals
\[ \frac{2}{5} \text{ of 15} \rightarrow 6 \]
Various fractions with multiples up to 20.
Mixed skills across shape types
Shade various fractions on circles
\[ \frac{3}{8} \text{ on circle} \]
Shade fractions on pie chart style circles.
Shade various fractions on bars
\[ \frac{5}{6} \text{ on bar} \]
Shade fractions on horizontal bars.
Shade various fractions on grids
\[ \frac{3}{4} \text{ on grid} \]
Shade fractions on rectangular grids.
Special cases
Shade all parts – whole number fractions
\[ \frac{4}{4} \rightarrow \text{all 4} \]
Recognise n/n = 1 whole, shade all parts.
Connect equivalent halves to shading
\[ \frac{4}{8} = \frac{1}{2} \rightarrow 4 \]
Use equivalent fractions to shade.
Identify when shading is impossible
\[ \frac{1}{3} \text{ of 5? No} \]
Recognise when fraction cannot be shown.
Timer (Optional)
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Question