30 - Bethel School Districtblogs.bethel.k12.or.us/awoods/files/2016/11/CC-2015-RPPS4M-TG-L08.pdf30 70 50 110 ©Curriculum Associates, LLC Copying is not permitted. Lesson 8 Number

30©

Cu

rriculu

m A

ssociates, LL

C

Copyin

g is not perm

itted.

Practice Lesson 8 Num

ber and Shape PatternsU

nit 2

Practice and Prob

lem Solvin

gU

nit 2 Op

erations and A

lgeb

raic Thinking

Key

B Basic M Medium C Challenge

©Curriculum Associates, LLC Copying is not permitted.78 Lesson 8 Number and Shape Patterns

Solve.

3 Fill in the missing numbers to show patterns with addends and sums.

Addend Addend Sum100 10 110

90 20

80 110

40 110

60

4 Look at problem 3.

a. What pattern do you see in the first Addend column?

b. What pattern do you see in the second Addend column?

c. When the sum remains the same, what do you notice about the two addends?

5 What is the same and what is diff erent about the two patterns below?

Pattern A: 5, 10, 15, 20, 25, 30

Pattern B: 30, 25, 20, 15, 10, 5

Same:

Diff erent:

M

7878 Lesson 8Lesson 878

C

M

Possible answer: As you go down the column,

each number is 10 less than the number above it.

Possible answer: As you go down the column,

each number is 10 more than the number above it.

Possible answer: When the first addend goes up by 10,

the second addend goes down by 10.

The numbers are the same in both patterns, but in a different order.

The rule for pattern A is add 5. The rule for pattern B is subtract 5.

Possible answers are shown.

Addend Addend Sum100 10 110

90 20 110 80 30 110

70 40 110

60 50 110

©Curriculum Associates, LLC Copying is not permitted. 77Lesson 8 Number and Shape Patterns

Name:

Vocabularynumber pattern a

series of numbers that

follow a rule to repeat or

change.

rule a procedure to

follow to go from one

number or shape to the

next in a pattern.

Prerequisite: Identify Number Patterns

Study the example showing a number pattern. Then solve problems 1–5.

1 Use the number line below to answer the questions.

3020100

110

40

110 110 110

a. What pattern of numbers do you see on the number line?

0, , 20, , 40

b. What is the rule for the pattern? add

2 Use the number line below to answer the questions.

151050 20

a. What pattern of numbers do you see on the number line?

, , , , 20

b. Label the number line to show the rule for the pattern.

Example

Leo noticed a pattern in the addition table. What pattern did Leo notice?What is the rule for the pattern?What is the next number in the pattern?

Pattern: 0, 2, 4, 6, 8 Rule: add 2

Use the rule to find the next number in the pattern: 8 1 2 5 10

10 is the next number in the pattern.

Number and Shape Patterns

Lesson 8

0 1 2 3 4 5

0 0 1 2 3 4 5

1 1 2 3 4 5 6

2 2 3 4 5 6 7

3 3 4 5 6 7 8

4 4 5 6 7 8 9

5 5 6 7 8 9 ?

7777 Number and Shape Patterns Number and Shape Patterns 77

B

B

10 30

10

0 5 10 15

15 15 15 15

CC

04MM

RPPS TG

TEXT.indb 304/7/16 2:37 PM

31©

Cu

rriculu

m A

ssociates, LL

C

Copyin

g is not perm

itted.



nit 2

Practice and Prob

lem Solvin

gU

nit 2 Op

erations and A

lgeb

raic Thinking


Solve.

3 Use the table below to answer the questions.

Monday Tuesday Wednesday Thursday FridayJeff 1 2 3 4 5

Eric 2 4 6 8 10

a. What is the rule for the pattern in Jeff’s row?

b. What is the rule for the pattern in Eric’s row?

c. Look at both Jeff’s and Eric’s numbers from day to day. What pattern do you see?

d. If Saturday were shown in the table, what would be the numbers in Jeff’s row and in Eric’s row?

Eve’s soccer team has 48 water bottles in the locker room. Each of the 12 players takes a water bottle before a game.

4 Complete the table to show how many water bottles are left in the locker room at the end of each of the fi rst three games.

Game 1 2 3

Number of Bottles 48

5 Use words and numbers to explain how you found the number of bottles left after Game 1.

6 What is the rule for the pattern?

7 What number would come after 12 in the pattern?

8 What does this number mean?

M


M

C

M

M

C

add 1

Possible answer: Jeff’s number is half of Eric’s number. Eric’s number

is two times Jeff’s number.

add 2

Jeff’s row: 6, Eric’s row: 12

Possible answer: There were 48 bottles before Game 1. 12 players each took

a bottle, so I subtracted 12 from 48. 48 2 12 5 36

subtract 12

0

No more water bottles left.

Game 1 2 3

Number of Bottles 48 36 24 12


Name: Name: Name: Lesson 8

Use Number Patterns

Study the example showing how to use a pattern on a number line to solve a word problem. Then solve problems 1–8.

Eduardo practices the flute each weekday. His music teacher wants him to practice 5 minutes longer each day this week. Eduardo practices for 20 minutes on Monday. How many minutes will Eduardo practice on Friday?

1 Complete the table to show how many minutes Eduardo will practice each day this week.

Day Monday Tuesday Wednesday Thursday Friday

Number of Minutes

20

+5 +5 +5 +5

2 Complete the sentence.

Eduardo will practice for on Friday.

Example

Riley wants to save $10 from her weekly babysitting job for the next 4 weeks. She has $50 in savings now. How much will Riley have in savings at the end of 4 weeks?

80Week

3

70Week

2

60Week

1

50Now

110

90Week

4

110 110 110

Rule: add 10 Pattern: 50, 60, 70, 80, 90

Riley will have $90 in savings at the end of 4 weeks.


B

B

40 minutes

25 30 35 40

CC

04MM

RPPS TG

TEXT.indb 314/7/16 2:37 PM

32©

Cu

rriculu

m A

ssociates, LL

C

Copyin

g is not perm

itted.



nit 2

Practice and Prob

lem Solvin

gU

nit 2 Op

erations and A

lgeb

raic Thinking


Solve.

4 Sasha draws a shape pattern that goes back and forth between a 5-pointed star and 4-pointed star.

What is another way to describe the pattern?

5 Look at the shape pattern in problem 4. Choose Yes or No for each statement below.

a. The 7th spot has a 4-pointed star. u Yes u No

b. The 8th spot has a 5-pointed star. u Yes u No

c. The 99th spot has a 5-pointed star. u Yes u No

d. The 100th spot has a 4-pointed star. u Yes u No

6 Jamel used pattern blocks to make the shape pattern shown below.

Draw the next 2 shapes in the pattern.

7 Look at the shape pattern in problem 6. Choose Yes or No for each statement below.

a. will always be in an even spot. u Yes u No

b. will always be on a multiple of 3. u Yes u No

c. The 12th spot is . u Yes u No

d. is in every 5th spot. u Yes u No

Vocabularyshape pattern a series

of shapes that follow a

rule to repeat or change.

M


C

M

M

Possible answer: The odd-numbered spots have stars, with an odd number of points.

The even-numbered spots have stars, with an even number of points.

33

33

33

33


Name: Name: Name: Lesson 8

Identify Shape Patterns

Study the example showing ways to describe a shape pattern. Then solve problems 1–7.

1 Draw the next two shapes in the shape pattern shown below.

2 What two ways could you describe the shape pattern below?

3 Look at problem 2. The 3rd shape and the 6th shape are the same. Explain how to fi gure out what the 30th shape will be without drawing all 30 shapes.

Example

A banner along a classroom wall has the shape pattern below.

You can describe the pattern in words: circle, triangle, square, pentagon, circle, triangle, square, pentagon

You can describe the pattern by the number of sides in each shape: 0, 3, 4, 5, 0, 3, 4, 5

What will the next shape in the pattern be? A circle follows a pentagon in the shape pattern.


M

M

B

Possible explanation: The 3rd and the 6th shape are rectangles. 3 and 6 are

multiples of 3. 30 is a multiple of 3 so a rectangle will be the 30th shape.

Possible answer: 1) Triangle, circle, rectangle, triangle, circle, rectangle;

2) 3 sides, 0 sides, 4 sides, 3 sides, 0 sides, 4 sides

CC

04MM

RPPS TG

TEXT.indb 324/7/16 2:37 PM

33©

Cu

rriculu

m A

ssociates, LL

C

Copyin

g is not perm

itted.



nit 2

Practice and Prob

lem Solvin

gU

nit 2 Op

erations and A

lgeb

raic Thinking


Solve.

4 Vivian wrote the number pattern below.

8, 16, 32, 64, 128

Which of the following could be a rule for this pattern?

A Multiply by 2.

B Add 16.

C Double the number.

D Multiply by 4.

Tori chose D as the correct answer. How did she get that answer?

5 Complete the pattern below. The pattern follows the rule “add 2, subtract 1.”

1, 3, 2, 4, 3, 5, 4, 6, 5, ___ ___ ___ ___

+2 –1 +2 –1

, , ,

Circle one number in each sentence below that makes the sentence true about the pattern.

a. The number in the 15th spot is 7 8 9.

b. The difference between the numbers in every other spot is 1 2.

There may be several ways to describe a pattern.

It can be helpful to write the number of the spot (1st, 2nd, 3rd, 4th, and so on) beneath each number in the pattern.


C

M

Answers will vary. Possible answer: Tori looked at 8 and 32: 8 3 4 5 32;

she also looked at 16 and 64: 16 3 4 5 64. She saw that the rule worked for

some numbers; she didn’t try the rule for all the numbers in the pattern.

7 6 8 7


Name:

2 Describe a rule you see in the shape pattern below.

1 How are the two number patterns below different?

Pattern A: 11, 22, 44, 88

Pattern B: 11, 22, 33, 44

Name: Name: Lesson 8

What is the rule for each pattern?

Look at how the letters are formed. What do some letters have in common? What do other letters have in common?

Number and Shape Patterns

Solve the problems.

3 Use the letters T, P, J, and I to continue the pattern in problem 2.

How can you use the rule to find the next letter in the pattern?


M

M

M

Possible answer: The rule for pattern A is

multiply by 2. You multiply to get the next

number in the pattern. The rule for pattern B

is add 11. You add to get the next number in

the pattern.

Possible answer: The pattern goes back and

forth between a letter with curves and a letter

with only straight lines.

Possible answer: P, T, J, I or J, T, P, I or P, I, J, T

or J, I, P, T

CC

04MM

RPPS TG

TEXT.indb 334/7/16 2:37 PM

Documents

30 - Bethel School Districtblogs.bethel.k12.or.us/awoods/files/2016/11/CC-2015-RPPS4M-TG-L08.pdf30 70 50 110 ©Curriculum Associates, LLC Copying is not permitted. Lesson 8 Number