Exploring Equivalent Fractions Together
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Exploring Equivalent Fractions Together
Fractions that represent the same amount They look different but have equal value Like cutting the same pizza into different sized pieces The key is understanding equal parts of a whole
What Are Equivalent Fractions?
Fractions that represent the same amount They look different but have equal value Like cutting the same pizza into different sized pieces The key is understanding equal parts of a whole
Pizza Problem: Who Ate More?
Mrs Madhaven cuts her pizza into 2 pieces and eats 1/2 Mr Meiklejohn cuts his pizza into 4 pieces and eats 2/4 Mr Hanson cuts his pizza into 8 pieces and eats 4/8 Who ate more pizza?
Pizza Problem: The Answer!
They all ate the SAME amount! 1/2 = 2/4 = 4/8 Each person ate exactly half their pizza Different cuts, same amount eaten
Challenge Question: Ways to Show 1/2
In how many different ways can you show the same amount as 1/2? Think about: • Different denominators • Various visual representations • Fraction tiles and models
Ways to Show 1/2: Solutions
2/4 (two quarters) 3/6 (three sixths) 4/8 (four eighths) 5/10 (five tenths) 6/12 (six twelfths) And many more! Pattern: numerator is half the denominator
Fraction Tiles: Three Quarters Challenge
Using fraction tiles, what are all the different ways you can make a fraction equal to three quarters (3/4)? Remember: • Use your fraction tile sets • Think about equivalent fractions • Show your working
Three Quarters Solutions
3/4 = 6/8 (six eighths) 3/4 = 9/12 (nine twelfths) 3/4 = 12/16 (twelve sixteenths) Justification: Multiply both numerator and denominator by the same number 3×2/4×2 = 6/8, 3×3/4×3 = 9/12
Fraction Tiles: Two Thirds Challenge
Using fraction tiles, what are all the different ways you can make a fraction equal to two thirds (2/3)? Think about: • Which tiles can combine to make 2/3? • What equivalent fractions equal 2/3? • Show your reasoning
Two Thirds Solutions & Summary
2/3 = 4/6 (four sixths) 2/3 = 6/9 (six ninths) 2/3 = 8/12 (eight twelfths) Key Learning: Equivalent fractions represent the same amount Method: Multiply numerator and denominator by the same number Next: Practice identifying equivalent fractions in everyday situations!