Explore even rods

WALT: show one half as two equal parts.

Half means two equal parts. Use rods, draw two different combinations, write an equation, and explain: How do you know?

Success criteria: I can make two equal parts, record more than one way, and explain my thinking.

Half of 10 is ______. Draw two different ways to make the half.

Equation: ____________________    How do you know?

Half of 8 is ______. Draw two different ways to make the half.

Equation: ____________________    How do you know?

Half of 6 is ______. Draw two different ways to make the half.

Equation: ____________________    How do you know?

Half of 4 is ______. Draw two different ways to make the half.

Equation: ____________________    How do you know?

Investigate odd rods and share your thinking

Try to split each rod into two equal whole-rod lengths. Draw a construction, or prove that an exact half cannot be made.

Can you make an exact half using whole rods? Show your construction or proof.

How do you know?

Can you make an exact half using whole rods? Show your construction or proof.

How do you know?

Half of 8 is ______. Draw two ways and explain how you know.

Support: Work with a partner. Use rods, point to each part, and say: “Half of ___ is ___ because ___ and ___ are equal.” You may explain your answer aloud before writing.

Extension: Find another way to make half of 10 using three or more rods. Record an equation.