Fraction Wall How many fractions can you find

Fraction Wall How many fractions can you find that are equivalent to ½? 1 2 2 = 4 3 = 6 4 = 8 5 = 10 6 = 12 What do you notice about the fractions that are equivalent to ½?

Fraction Wall 1 How many fractions can you find that are equivalent to 3 ? 1 3 2 = 6 3 = 9 4 = 12 What do you notice about the fractions that are equivalent to 31 ?

Fraction Wall What happens to the numerators and denominators between each equivalent fraction? Can you find a rule to link the equivalent fractions?

Fraction Families If we want to find whole families of equivalent fractions that go beyond a fraction wall, we need to find a rule. 1× 2=2 1× 3=3 1× 4=4 2× 2=4 2× 3=6 2× 4=8 What happens between and ? What happens to the numerator and denominator each time?

Fraction Families The numerator and denominator are multiplied by the same amount each time to find an equivalent fraction. 1× 2=2 1× 3=3 1× 4=4 2× 2=4 2× 3=6 2× 4=8 Now we can find whole families of equivalent fractions, can you find fractions that are equivalent to ¼ ?

Fraction Families What fractions can you find that are equivalent to ? ÷ 2 × ÷ 2 × We can also find equivalent fractions by dividing. What could you divide 4 and 6 by to find an equivalent fraction?

Equivalent Fractions (2) Diving Find a path through the maze using your knowledge of equivalent fractions. Start 1 2 2 4 5 6 3 7 12 16 5 9 15 20 6 8 3 57 4 8 12 32 24 64 4 5 7 8 11 28 6 11 5 10 6 13 46 126 48 128 50 100 13 20 6 12 1 8 7 14 8 16 Finish

Equivalent Fractions (1) Diving 1 2 Fraction 8 16 1 2 4 8 1 2

Equivalent Fractions (1) Deeper Which one is the odd one out and why? A B 3 9 1 3 6 18 1 3 C 6 12 D 1 2

Equivalent Fractions (1) Deeper Is this statement true or false? 'Prove it and explain your reasoning. Equivalent fractions can be made by splitting the original fraction into smaller parts. 1 6 1 3 1 6 1 6 11 33 1 6 True. Thirds can become sixths by cutting each third into 2 equal parts. It is easy to then see that one third is equivalent to two sixths.

Equivalent Fractions (1) Deeper Natalie says: Four tenths is the same as a half. Do you agree or disagree? Explain and prove your answer. 4 10 1 2 1 10 1 2 5 10 1 2 1 2

Equivalent Fractions (2) Deeper Which one is the odd one out and why? × 4 A 4 10 B 1 5 = × 10 C 10 50 × 4 B, C and D are all equivalent to 1. 5 2 A is equivalent to 5 making it the odd one out. = D 4 20

Equivalent Fractions (1) Deepest Use these digit cards to make fractions that are equivalent to 1. Find all 3 possibilities with denominators less than 20. 1 2 3 4 6 1 = 3 2 6 3 9 4 12 9