Extending Patterns
Pattern Rules
Equations
Variables
Finding Rules
100

Find the next two terms.
2, 5, 8, 11, ____, ____



14, 17

100

What is the pattern rule for the number pattern
1, 3, 5, 7, 9, . . .

Start at 1 and go up by 2

100

Write a repeated addition equation for the situation:
3 cars

5 people in each car

15 people altogether 

5 + 5 + 5 = 15

100

Replace the changing quantity with the letter n

1+5      2+5        3+5

n + 5

100
The Number Pattern for: Start at 0 and add by 2.
What is: 0, 2, 4, 6, 8, . . .
200

The Number Pattern for: Start at 3 and add by 3.

What is: 3, 6, 9, 12, 15, 18, . . .

200
The Pattern Rule for 14, 12, 10, 8, 6, . . .
What is: Start at 14 and subtract 2.
200

Write a repeated addition equation for the situation:
5 pizzas

4 slices in each pizza 

20 slices altogether

4 + 4 + 4 + 4 + 4 = 20

200

Write an expression for the distance a car would travel at the speed and in the time given.

Speed: 60 km per hour

Time: 3 hours

60 x 3 = 180km 

200
The Pattern Rule for: 30, 28, 26, 24, 22, 20, ...
What is: Start at 30 and subtract by 2.
300

The missing numbers: 5, ____ , 15, _____, 25, 30 . . .

What is 10 and 20.

300
The Pattern Rule for: 7, 14, 21, 28, 35, . . .
What is: Start at 7 and add by 7.
300

Owen has 2 plants. Rachel has 4 times as many plants. How many plants does Rachel have?  

4 x 2 = 8

300

Renting Go Carts cost $20 an hour. Write an algebraic expression for the cost of renting a Go Cart for h hours.

20 x h 

or 

20(h)

300
The Pattern Rule for: 19, 18, 17, 16, 15, 14, . . .
What is: Start at 19 and subtract by 1.
400

The Pattern Rule for: 24, 26, 28, 30, 32,. . .

What is: Start at 24 and add by 2.

400

Find the pattern rule: 5, 10, 15, 20, 25. . .

Start at 5 and add by 5.

400

A magnifying glass makes objects look 3 times as big. How long would a 5cm long caterpillar look?

5cm x 3 = 15cm 

400

Replace the variable with the given number and then evaluate. 

2(h)     h=3

2(3)=6

400
The pattern rule for: 15, 12, 9, 6, 3, . . .
What is: Start at 15 and subtract by 3.
500

The Number Pattern for: Start at 300 and subtract by 2.

What is: 300, 298, 296, 294, 292, 290. . .

500

The Pattern Rule for: 400, 500, 600, 700, 800,. . .

What is: Start at 400 and add by 100.

500

Write a multiplication equation for the situation:

8 boats

7 people in each boat

56 people altogether 

8 x 7 = 56

500

Replace the variable with the given number and then evaluate.

6 + m          m=4

6 + 4 = 10

500
The Pattern Rule for: 150, 200, 250, 300, 350, 400. . .
What is: Start at 150 and add by 50.
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