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Fractions
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Recognise fractions

D1: Recognise fractions
eg 3/8

POint at the left hand side
Drag the fraction

Equivalent Fractions

D2: 3/5 = 15/25

Equivalent Fractions Wall

Instructions: Drag the fraction from the left hand side of the fraction wall. See pictures on the left.

D3: Fraction Wall: equivalent fraction diagram with a variety of fractions.

Equivalent fractions number line

Equivalent Fraction lines

D4: Identify three fractions on a number line (0 to 1)
D5: A number line (0 to 1) split up in to two random fractions, eg 5ths and 20ths.

 

Lowest common multiple and highest common factor

D6: The lowest common multiple of two numbers, eg 6 and 9
Two options: Click 1 or 2. Option 1 is slightly easier than option 2.
D7: Find the highest common factor of two numbers, eg 36 and 27
D8: Cancel fractions to their simplest form
D9: Find the unknown numerator or denominator

Go to the fraction table
Click inside the table to show or hide the answers.
The bar on the fraction diagram is set to the highest answer revealed: 21 in the above example.


link to SAT-type questions

Calculate fractions of amounts

D31: Fractions of amounts in a table and on a fraction diagram
To change the fraction and/or amount click on the fraction buttons.


D10: What is one tenth of 100, 30, 500...
D11: 3/10 of 50, 20, 100...
D12: 4/5 of 50, 35, 100...
D13: 1/5 of 35, 2/3 of 51


D14: Fractions of amounts eg 1/2 of 120, 1/5 of 125
Calculate fractions of amounts. match up the answer with the question.

D15: 3/5 of 17, 2/3 of 25

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Percentages

Percentages of amounts
Click inside the table to show or hide the answers


Percentages of money

D32: Percentages of amounts in a table
1%, 2%, 5%, 10%, 20%, 25%, 40%, 50%, 75%, 90% and 100%
Work out mentally or with a calculator.

Use mental methods to calculate percentages

D16: Percentage of money (10%, 15%, 25%, 50% and 75%)
D17: Percentage of money (multiples of 10% and whole number percentages less than 10%)

Use a calculator to calculate percentages

D18: Percentage of money eg 23% of £345


Use mental methods to calculate percentages

D19: Percentage of money (multiples of 5%)

Percentages of a line

Estimate percentages

D20: Estimate the percentage of a line that is shaded.

D21: Interpret pie charts: estimate the size of each slice.

D22: Estimate percentages and amounts from pie charts.

 

Calculate percentages of amounts using a calculator

D23: Calculate percentages of a total, a pie chart is shown.

eg 250 people represents 31%
250 31represents 1%
250 31 x 100 represents 100%

D24: Use a unitary method to calculate amounts, a pie chart is shown.

 

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Equivalence of fractions, decimal and percentages
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D25: Fractions, decimals and percentages less than or greater than 1/2, 1/4 or 3/4

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Ratio and proportion
eg 9:36 = 1:4
eg 12:32 = ? : 8
D26: Simplify a two-part ratio to an equivalent ratio by cancelling.
D27: Simplify a two-part ratio to an equivalent ratio by cancelling. Fill in the missing numbers.
Link to missing numbers

D28: Fill in the missing numbers on a number line.

Link to activity

The ratio is shown
The ratio can be shown

The proportion is shown
The proportion can be shown : fractions and percentages

D29: Ratio and proportion generator

Generate different numbers of red squares and blue circles. The ratio of red to blue can be changed. The squares and circles can be scattered randomly or put neatly into rows. Use this resource to illustrate how ratio and proportion works.

The buttons
The ratio buttons

The buttons from the left:
1. Generate the shapes in random positions.
2. Place the shapes in rows.
3. Show/hide the number generator panel.
4. Show/hide the ratio.
5. Show/hide the fraction.
6. Show/hide the percentage.
7. Generate a random number of squares and circles.

The slider determines the number of groups of each shape.

These sliders determine the ratio of red squares to blue circles.

 

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Random fractions, decimals and percentages generator
Link to the activity
Make matched pairs the same colour.
The pairs could be dragged next to each other

Link to the number generator

Example of equivalent fractions.

D30: A flexible whiteboard resource which generates 13 different sets of fractions, decimals or percentages.
There are 13 options:

Select the type of fractions to be generated by clicking on the numbered buttons at the top.
The buttons used to select the type of fractions.

1. Random fraction diagrams 1(half, quarter, fifth, eighth, tenth)
1b. Random fraction diagrams 2 (as above plus third, sixth, ninth)
2. Random fractions 1(half, quarter, fifth, eighth, tenth)
2b. Random fractions 2 (as above plus third, sixth, ninth)
3. Equivalent fraction diagrams (pairs) 4. Equivalent fractions (pairs)
5. Fraction diagrams add up to 1 (pairs) 6. Fractions add up to 1 (pairs)
7. Equivalent fractions and decimals (pairs) 8. Fractions and decimals add up to 1 (pairs)
9. Equivalent fractions, decimals and percentages (threes) 10. Fractions of amounts (threes)
eg 1/4 of 24 = 6
11. Percentages of amounts (threes)
eg 25% of 24 = 6
 

The colour of the tiles can be changed. Select one of 8 colours then click on a tile.

The fractions can be grouped by dragging them about.

The fractions can be discarded by dragging them to the bin.

Children can use the resource to match pairs or group them in threes:
eg 27/100 and 0.73 make 1.
eg 40% of 60 = 24

A clock starts when a set of numbers has been generated. The clock can be hidden or shown (click the green clock button). It can be stopped by clicking the 'stop the clock' button!
The clock can be used to see who can group the fractions in the quickest time.

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