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Cuisenaire Rod Half Investigations
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Cuisenaire Rod Half Investigations
Use Cuisenaire rods or the unit lengths shown. A half is one of two equal parts. Draw different ways to build each half, record an equation, and explain how you know the parts are equal.
Halves of even lengths
Explore how rods of different lengths can be split into two equal totals.
1.An orange rod is 10 unit lengths long. What is half its length? Draw two different pairs of rod combinations that each make that half. Write an equation and explain how the two totals are equal.
2.A brown rod measures 8 unit lengths. Find half its length. Draw two different ways to build that half with whole rods, then show that two copies make the full length.
3.A dark green rod is 6 unit lengths long. What is half of 6? Sketch two different rod combinations with that total and write an addition equation to check your answer.
4.A pink rod has a length of 4 units. Work out half of its length. Draw two ways to make that amount from whole rods and explain how you checked the halves match.
Investigate odd lengths
Consider whether an odd number of unit lengths can be split into two equal whole-number lengths using whole rods.
5.A blue rod is 9 units long. Can it be split into two equal totals using whole rods whose lengths are whole numbers of units? Draw a possible split or show why it cannot be done.
6.A black rod is 7 unit lengths long. Decide whether whole rods can make two equal parts of this length. Use a drawing or an equation to support your conclusion.
7.A yellow rod is 5 units long. Can whole rods of whole-number lengths make two equal parts? Show your reasoning with a sketch or number sentence.
8.A light green rod is 3 units long. Is an exact half possible when each part must be built from whole rods of whole-number lengths? Explain with a sketch or equation.
9.Show two different ways to build one half of a length of 8 units using whole rods. State the half and write an equation showing that two equal halves make 8.
4 printable pages
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