Name:    Lesson 3: Representing Patterns

1.

Use the following chart to answer questions 1-5.

Number of Squares                                         Number of Toothpicks
1                                                                      4
2                                                                      7
3                                                                      10
4                                                                      13
5                                                                      16

How many toothpicks will there be when there are 6 squares?
 a. 17 b. 18 c. 19 d. 20

2.

How many toothpicks will there be when there are 12 squares?
 a. 35 b. 36 c. 37 d. 38

3.

What is the pattern rule in the second column?

4.

How many squares will you have when 28 toothpicks are used?
 a. 7 b. 8 c. 9 d. 10

5.

How many squares will you have when 40 toothpicks are used?
 a. 12 b. 13 c. 14 d. 15

6.

Use the following chart to answer questions 6-10.

Number of Picture Frames                              Number of Sticks
1                                                                       5
2                                                                       10
3                                                                       15
4                                                                       20

What shape are the frames?
 a. squares b. pentagons c. hexagons d. octagons

7.

What is the pattern rule for the second column?

8.

How many sticks are used to make 10 frames?
 a. 40 b. 45 c. 50 d. 55

9.

How many frames do you have if you used 35 sticks?
 a. 5 b. 6 c. 7 d. 8

10.

How many frames do you have if you used 100 sticks?
 a. 20 b. 25 c. 30 d. 35