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This activity involves comparing the shaded parts to the total number of parts in different shapes. By analyzing the fractions, students determine if they are equivalent. They also practice identifying equivalent fractions and working with different numerators and denominators. Includes solution examples and true/false statements with explanations.
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For each shape, compare the shaded part to the total number of parts. What do you notice? E.g: For this shape: Shaded part = 1 Total parts = 2
As the shaded parts show that they are half in quantity of the whole shape then the value of the shaded part when written as a fraction must mean that all the fractions are the SAME. True or False? Shaded part = 1 2 8 Total parts = 2 4 16 1 goes into 2 TWICE 2 goes into 4 TWICE 8 goes into 16 TWICE
As the shaded parts show that they are half in quantity of the whole shape then the value of the shaded part when written as a fraction must mean that all the fractions are the SAME. True or False? Shaded part = 1 2 8 Total parts = 2 4 16 1 goes into 2 TWICE 2 goes into 4 TWICE 8 goes into 16 TWICE
What is the value of the shaded part in each shape? Are they all the same. Clue: Ignore the drawn size of the shapes as they are not drawn to scale. Focus on the fractional value of the shaded part in each shape.
3 goes into 12 four times 5 goes into 20 four times 8 goes into 32 four times
As each shape holds the same value, we can say that We call these fractions Equivalent fractions, meaning they are the same.
Explain the shape statement below: = = = Note: These shapes are drawn to size. Explanation on slides 7-10
To understand the size of the fraction compare it to one whole. One whole This has been split into 4 equal parts. This has been split into 8 equal parts. This has been split into 32 equal parts.
Same as This has been split into 4 equal parts. is shaded. This has been split into 8 equal parts. is shaded. Same as This has been split into 32 equal parts. is shaded.
Each shaded part is exactly the same size. This means all the fractions are equal to each other. They are equivalent. This has been split into 4 equal parts. is shaded. This has been split into 8 equal parts. This has been split into 32 equal parts. is shaded. is shaded.
= = = x2 x4 Note: These shapes are drawn to size. x8
Equivalent fractions. Can you spot the mathematical connection between each pair of fractions? Clue:
Equivalent fractions. Can you spot the mathematical connection between each pair of fractions? Clue: The connection between the numerators is the same for the denominators and vice versa.
Equivalent fractions. x 9 x 9
Match the equivalent fractions to the shapes/ fractions? Fraction Equivalent Fraction/Shape Note: The shapes are not drawn to scale.
Solutions: Fraction Equivalent Fraction/Shape
Work out the missing numerator or denominator in these equivalent fractions: Show your workings clearly.
Solutions: 20 7 x3 x4 10 12 5 18 x4 x2 80 8
Are these statements true or false? Give reasons for your answer. 1) 2) 3) 4) 5) 6)
Solutions: 1) 2) 3) 4) 5) 6) False – both denominators are the same. They have forgotten to multiply it by 2. True - Both the numerator and denominator are multiplied by 7. False – The numerator and denominator have not been multiplied/divided by the same number. False – Both numerators are the same. They have forgotten to multiply it by 10. True - Both the numerator and denominator are multiplied by 100. True – Both the numerator and denominator are multiplied by 2.
At a birthday party, these giant cookies we shared equally between 8 children. How much did each child get? Some cookies were already cut as shown in the diagrams: One halved, three cut into quarters and two cut into eighths.
