Patterns & Functions

Guided Practice

Teacher Notes

• Students will need calculators and whiteboards with dry erase markers.

• Paper and pencil can be used if whiteboards are not available.

• Students should set up and attempt to solve the problems, and then check the accuracy of their work when the answers are shown on the screen.

The first step is to determine the rule for the pattern.

Write the numbers in the pattern 2, 8, 14, 20, 26, 32

What could be the rule?

Guess and

Check

2 8 14 20 26 32 +6 +6 +6 +6 +6

32 38 44 50 56 62 +6 +6 +6 +6 +6

2, 8, 14, 20, 26, 32

The first six numbers in the pattern below were made using a subtraction rule.

85, 78, 71, 64, 57, 50

If the pattern continues the same way, what will be the next two numbers in the pattern?

Use subtraction to find the

pattern.

85 – 78 = 778 – 71 = 771 – 64 = 764 – 57 = 757 – 50 = 7

The answer for each

problem is the same.

The first six numbers in the pattern below were made using a subtraction rule.

85, 78, 71, 64, 57, 50

What will be the next two numbers in the

pattern?

50 – 7 = 4343 – 7 = 36

Continue to subtract 7.

IN RULE OUT

4 x 5 209 x 5 456 x 5 30

IN RULE OUT

4 - 3 1

9 - 3 66 - 3 3

IN RULE OUT

4 + 5 99 + 5 146 + 5 11

IN RULE OUT

4 +16 209 +16 256 +16 22

IN RULE OUT3 x 5 1512 x 5 60

8 x 5 40

IN RULE OUT

3 - 2 1

12 - 2 10

8 - 2 6

IN RULE OUT3 +18 21

12 +18 30

8 +18 26

IN RULE OUT3 +1

215

12 +12

24

8 +12

20

3

3021

12 8

26

A. Multiply by 5B. Subtract 2C. Add 18D. Add 12

291 – 288 = 3288 – 285 = 3285 – 282 = 3282 – 279 = 3

Karla is using a subtraction rule to make the number pattern shown below.

291, 288, 285, 282, 279

If the pattern continues in the same way, what will be the 7th number in the pattern?

What is the pattern?

Use subtraction to find the

pattern.

The answer for each

problem is the same.

A. 278B. 277C. 276D. 273

Karla is using a subtraction rule to make the number pattern shown below.

291, 288, 285, 282, 279

If the pattern continues in the same way, what will be the 7th number in the pattern?

279 – 3 = 276276 – 3 = 273

Continue subtracting 3.

6th number in pattern

7th number in pattern

A

B

C

What is the rule? FunctionChart

A

B

C

What is the rule? FunctionChart

A

B

C

What is the rule? FunctionChart

A A B B A A B B

900 800 700 600 500 400 300 200

Look at each pattern one at a time.

The next two items in this pattern are…

B 300 B 200

What comes next for each

part of the pattern?

If this pattern continues, how many squares will be in the bottom row of Figure 8 of this pattern?

A. 7B. 8C. 10D. 12

Drawing the next few figures in the pattern will help

solve this problem.

If this pattern continues, how many squares will be in the TOP row of figure 7of this pattern?

A. 12B. 11C. 9D. 7

Drawing the next few figures in the pattern will help

solve this problem.

A

B

C

What is the rule? FunctionChart

A

B

C

What is the rule? FunctionChart

A

B

C

What is the rule? FunctionChart

First identify the rule.

First identify the rule.

Guess and

Check

IN Rule OUT

2 6

5 15

8 24

Does your rule work for every IN-OUT

pair?

IN Rule OUT

2 x 3 6

5 x 3 15

8 x 3 24

IN Rule

OUT

2 x 3 6

5 x 3 15

8 x 3 24

12

x 3 36

First identify the rule.

3

3021

12 8

26

What number should come out if the number 7 goes into this number machine.

A. 18 C. 27 D. 25 D. 32

First identify the rule.

Guess and

Check

IN Rule OUT

3 x 7 21

12 x 7 30

8 x 7 26

Does your rule work for every IN-OUT

pair?

3

3021

12 8

26

XX

If not, guess and check

again.

First identify the rule.

Guess and

Check

IN Rule OUT

3 + 18 21

12 + 18 30

8 + 18 26

Does your rule work for every IN-OUT

pair?

3

3021

12 8

26

IN Rule

OUT

3 + 18

21

12 + 18

30

8 + 18

26

7 + 18

25

What number should come out if the number 7 goes into this number machine.

A. 18 C. 27 D. 25 D. 32

Miller is buying packages of cookies for a party. Each package contains the same number of cookies.

Based on the data in the table, how many packages will Miller need to buy to have a total of 42 cookies?

Packages of CookiesNumber of Packages

Total Number of Cookies

1 62 123 184 245 30

Based on the data in the table, how many packages will Miller need to buy to have a total of 42 cookies?

Packages of CookiesNumber of Packages

Total Number of Cookies

1 62 123 184 245 306 367 428 48

Extend the

Pattern

red white blue red white blue red white

3 6 9 12 15 18 21 24

Look at each pattern one at a time.

The next two items in this pattern are…

red 21 white 24

What comes next for each

part of the pattern?