At a forest picnic, Emek opened the basket and found two snacks cut into unequal pieces. Some pieces were much bigger than others. "That is not fair," Luna said. They put the pieces back together and started again. They divided one snack into 2 equal halves and the other snack with the same size into 4 equal quarters. They checked the pieces carefully. Two quarters matched one half, so they could make equal portions. Everyone received the same amount and enjoyed the picnic.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Think about how many of the 4 equal quarters cover the same amount as 1 of 2 equal halves.
Luna says that 2 quarters of a snack are the same amount as 1 half of the same-size snack. Which statement shows that she is correct?
2 quarters make 1 half.1 quarter makes 1 half.3 quarters make 1 half.4 quarters make 1 half.Correct! Two quarters cover the same amount as one half.
Remember that the story says two equal quarters matched one half.
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Hint
Think about how many quarters match one half.
One snack was divided into 4 equal quarters. Emek wants an amount equal to one half of that snack. How many quarter pieces should he take?
Correct! Two quarter pieces make the same amount as one half.
Use the relationship between halves and quarters from the story.
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Hint
Remember why Emek and Luna started again when they found unequal pieces.
A friend says, "Any 2 pieces of a snack are halves, even if one piece is bigger than the other." What is the best way to correct the friend?
The pieces are halves if there are exactly 2 pieces.The larger piece is always one half.The pieces must be 2 equal parts to be halves.The pieces must be 4 equal parts to be halves.Correct! A whole must be divided into 2 equal parts for each part to be a half.
Having 2 pieces is not enough. Think about what must be true about their sizes.
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