Representation Matching

Cathy has a talent for recording student strategies using symbols and connecting that to visual representations. This activity is designed to help you connect symbolic representations to pictorial representations.

Match the symbolic and pictorial representations of strategies for solving the border problem, then discuss as a group how you know the representations match. Use the handout to determine which representations match.

Symbolic Representations

4 x 10 – 4
10 + 9 + 9 + 8
10 + 10 + 8 + 8
(10 x 10) – (8 x 8)
4 x 9
4 x 8 + 4

Pictorial Representations

1.

A square is sketched using four ovals for each side of the square. In each oval is the number eight. In each corner of the square sketch is a smaller circle.

2.

A square is drawn and labelled ten by ten. Inside the ten by ten square, a smaller square is drawn and labelled eight by eight

3.

A square is sketched using four ovals that overlap each other at the corners. In each oval is the number 10. Where the ovals overlap at each corner is a red X.

4.

A square is sketched using four ovals for each side of the square. The ovals representing the length are labelled with a ten. The ovals representing the width are labelled with eight.

5.

A square is sketched using four ovals for each side of the square. The top oval representing the length is labelled with ten. The bottom oval representing the length is labeled with nine. The two side ovals representing the width are labelled with eight.

6.

A square is sketched using four ovals for each side of the square. In each oval is the number nine.