Question

Explain how the models in questions 4 and 5 are the same

Answer 1

A x 1/2 = A/2

multiplying something by half is same as dividing it in 2 parts.

Answer 2

Hi!

So, for question 4, when you divide it by two, you can split it horizontally to make it 6 squares instead of 3 rectangles from the model of the 1/3, leaving 2 shaded squares and 4 unshaded squares. And since you're dividing it by 2, you only use 1 of the shaded squares.

For question 5, I made the one-half horizontal instead of vertical so you can easily overlap the 2 models when you multiply them. Similar to question 4, the model becomes 6 squares and the 2 models overlap on one square.

Hope this helps! :)