Open Question #1

The fourth action in a pattern is “clap.” What might the pattern be? Sample answers: It could be stomp, clap, stomp, clap, stomp, clap, over and over. OR It could be jump, jump, clap, clap, jump, jump, clap, clap, over and over.

Open Question #2

A shape with 5 sides has symmetry. What might it look like?

Sample answers:

OR

Open Question #3

Two patterns include the number 40. In one pattern, 40 is the 3rd number. In the other, 40 is the 12th number. What could the two patterns be? Sample answers: My first pattern is 20, 30, 40, 50, 60, … . My second pattern is 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, … . OR My first pattern is 30, 35, 40, 45 , … My second pattern is 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, … .

Open Question #4

You perform a reflection, and one point moves exactly 8 spaces on a grid. What shape and line of reflection might you have used? Sample answers: I used this shape and line of reflection. Point A moved 8 spaces. OR I used this rectangle and reflected it over this line. Point D moved 8 spaces.

Open Question #5

This picture represents a term in a pattern.

What might the pattern be, and what term might this picture represent? How do you know?

Sample answers:
I think the pattern is 3, 5, 7, 9, 11, 13, … , and this picture shows the eighth term since we started with 3 and added 2 seven times.

OR I think the pattern is 1, 9, 17, 25, … , and this picture shows the third term since we started with 1 and added 8 each time.

OR I think the pattern is 5, 9, 13, 17, … , and this picture shows the fourth term since we started with 5 and added 4 three times.

Open Question #6

A shape is transformed on a coordinate grid, and the point (4, 8) moves to (8, –4). How could that have happened? Sample answers: The shape could have been translated 4 right and 12 down. OR The shape could have been rotated around the origin 90° clockwise. OR The shape could have been reflected.