TOPIC 2 GENERATE AND ANALYZE PATTERNS. Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6

TOPIC 2GENERATE AND ANALYZE PATTERNS

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•Lesson 1

•Lesson 2

•Lesson 3

•Lesson 4

•Lesson 5

•Lesson 6

Review What You Know – VocabularyRecord answers in your math notebook.

Choose the best term from the box.

1) To put together equal groups to find the total number,

you __.

2) To decide if 4 has more ones or fewer ones than 8, __ the

numbers.

3) To separate into equal groups, you __.

compare multiplydivide regroup

Review What You Know – Number PatternsRecord answers in your math notebook.

1) 3, 6, 9, 12, __,

18

2) 4, 8, 12, __, 20,

24

3) 8, 7, 6, __, 4, 3

4) 30, 25, 20, 15,

__, 5

Review What You Know – Multiplication FactsRecord answers in your math notebook.

1) 4 x 3

2) 3 x 5

3) 7 x 2

4) 5 x 6

5) 2 x 4

6) 3 x 7

Review What You Know – Division FactsRecord answers in your math notebook.

1) 20 ÷ 4

2) 10 ÷ 5

3) 18 ÷ 6

4) 28 ÷ 4

5) 24 ÷ 6

6) 56 ÷ 8

Review What You Know – Writing to ExplainRecord answers in your math notebook.

•Janelle bought 4 cans of tennis balls.

There are 3 balls in each can. How

many tennis balls did she buy?

Explain how you solved the problem.

Lesson 2.1

Repeating Patterns

https://www.youtube.com/watch?v=AikMFJRQ7TY

•Complete Daily Common Core

Review 2-1.

Number Talk (in small group)

• 5 – 15 minute session

• 16 + 10•16 + 20•16 + 40•16 + 42

Fact Fluency

http://www.online-stopwatch.com/full-screen-stopwatch/

Lesson 2.1 Learning Target

I can identify a number or shape

pattern.Deconstruct standard in math notebook!


Lesson 2.1 Focus

How can you continue a

repeating pattern?


Lesson 1.1 Purpose

You know skip-counting patterns, such as 2, 4, 6, 8.

You continue the pattern by adding or subtracting the

same number again and again. Today, you will learn

about shape patterns and how to extend them.


Lesson 2.1 Connect

Do you have wallpaper or tiles in your

home? What is the pattern of the paper or

tiles? In a shape pattern, the order of the

different shapes is the same again and

again.


Learn Zillion Video

https://learnzillion.com/lesson_plans/8894-understand-repeating-patterns#fndtn-lesson

Pose the Problem

1 2 3 4 5 6

•?

•This is the beginning of a pattern.

How can you continue this pattern?

What do you predict will be the 10th

shape in the pattern?


Academic Vocabulary

•What does the word “repeat” mean?

•What do you think the phrase, repeating pattern, means?

•A repeating pattern is made up of shapes or numbers

arranged in a unit that repeats over and over again.


Small-Group Interaction

•Work with a partner.

•One partner creates a pattern with pattern blocks.

•The other predicts what the twelfth shape is and

builds the pattern to verify.

•Partners switch roles.


Extend

•Look back at the first pattern.

•If you show the pattern 3 times, how many

triangles would you show in all?


Visual Learning Animation


http://www.pearsonsuccessnet.com/temp-images/scorm/math09/na/en/0-328-70276-5/A64112/player.html

Brendan is decorating the top of the math bulletin board. He is using a pattern of shapes the class has studied. Which shows the next three shapes?

Ed is painting a border along the top of his room. He is using a pattern of his favorite shapes. Which shows the next three shapes?

What are the next three numbers in this pattern?1, 2, 3, 5, 8, 1, 2, 3, 5, 8, 1, 2, 3

A. 2, 3, 5

B. 2, 5, 8

C. 5, 8, 1

D. 3, 5, 7

What are the next three numbers in this pattern? 2, 4, 6, 8, 2, 4, 6, 8, 2, 4, 6

A. 2, 4, 6

B. 4, 6, 8

C. 8, 2, 4

D. 6, 8, 10

A candle shop sells candles in different shapes. The owner of the shop displays some of the candles in a row according to a pattern. Which shows the next three candle shapes?

Work Time

•Complete Practice 2-1 in Math

Workbook.

•Complete Enrichment 2-1.

•Check ALL work with a partner.


Formative Assessment

•Quick Check 2-1


•Thank you for your dedication!

You may now visit mobymax.com

to practice.

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Lesson 2.2

Number Sequences




Review 2-2.




• 18 + 10•18 + 13•18 + 20•18 + 23


Fact Fluency



I can identify a number or shape

pattern.Record and deconstruct standard in math notebook!


Lesson 2.2 Focus

What is the pattern?


Lesson 2.2 Purpose

You have learned about skip counting. The

numbers you say are an example of a pattern.

Today, you will learn how to find the numbers

for different number patterns.


Lesson 2.2 Connect

Do you have a collection? What is

the quickest way to count the

number of items? Do you count by

1s or by a greater number?


Pose the Problem

18, 21, 24, 27, __, __, __

17, 19, 21, 23, __, __, __

40, 36, 32, 28, __, __, __•Look at the number patterns. Each pattern has rules that you can use to find more numbers in the pattern. What is a rule for each pattern? Find the missing numbers.




•Make one addition number pattern and one

subtraction number pattern.

•Trade patterns with other pairs to find the rules and

continue the patterns.


Extend

•Create two number patterns that

use the same rule but start with

a different number.




Find the missing number in the pattern. 429, ﾠﾠ 4,290, ﾠﾠ42,900, ﾠﾠ _____ A. 430

B. 4,920

C. 429,000

D. 492,000


Find the missing numbers in the pattern. A. 20, 23, 26

B. 19, 22, 26

C. 21, 24, 27

D. 20, 17, 14

8, 11, 14, 17, __, __, __


Find the missing numbers in the pattern. 1, 8, 15, __, __, __

A. 18, 21, 24

B. 17, 14, 15

C. 21, 27, 33

D. 22, 29, 36


There were Presidential elections held in 1840, 1844, 1848, and 1852. When were the next three Presidential elections?A. 1856, 1860, 1864

B. 1860, 1864, 1868

C. 1855, 1859, 1863

D. 1858, 1862, 1866


Find the missing numbers in the pattern. 1, 5, 9, 13, __, __, __

A. 16, 20, 25

B. 17, 13, 9

C. 18, 22, 26

D. 17, 21, 25


Work Time


Workbook.





•Quick Check 2-2




to practice.



Lesson 2.3

Extending Tables




Review 2-3.




•56 + 40•56 + 50•156 + 40•156 + 43


Fact Fluency



I can generate a number or

shape pattern that follows a

given rule.Record and deconstruct standard in math notebook!


Lesson 2.3 Focus

What pairs of numbers fit a

pattern?


Lesson 2.3 Purpose

You have learned how to find rules and

numbers for a pattern. Today, you will lean

how pairs of numbers relate to each other,

and you will complete pairs in a pattern.


Lesson 2.3 Connect

Name something that comes in

packages with several items in

each package.


Pose the Problem

•There are 3 juice boxes in 1

pack, 6 in 2 packs, and 9 in

3 packs. How many juice

boxes are there in 4 packs?

5 packs? What other pairs

of numbers fit this pattern?

Number of Packs Number of Juice Boxes

1 32 63 945610100


Pose the Problem

•Extend the table.

Number of Bicycles

Number of Wheels

1 22 43 645610100


Extend


•Create a table and complete the first 3 rows.

•Trade tables with another pair to extend the

table.




Joe made this table that shows the amounts of money he earns for different numbers of hours he baby-sits. How much does Joe make when he baby-sits for 5 hours?

A. $35

B. $40

C. $42

D. $48

This table shows the total number of pounds of potatoes for different numbers of bags. Each bag is the same weight. What is the total weight in pounds of 12 bags of potatoes?

A. 120

B. 96

C. 68

D. 48

Emma earns money for doing chores around the house. She made this table that shows the amounts of money she earns for different numbers of chores she does. How much does Emma make when she does 9 chores?A. $45

B. $36

C. $30

D. $27


This table shows the total amount of potatoes for different numbers of bags. Each bag is the same weight. What is the total weight in pounds of 5 bags of potatoes?

A. 68

B. 60

C. 56

D. 48

A clothing store has all T-shirts on sale for the same price. This table shows the total prices for different numbers of t-shirts. What is the total price of 7 T-shirts?

A. $25

B. $30

C. $35

D. $40

Work Time


Workbook.





•Quick Check 2-3




to practice.



Lesson 2.4

Writing Rules for

Situations




Review 2-4.




• 10 + 13• 7 + 13•10 + 25•7 + 25


Fact Fluency



I can generate a number or

shape pattern that follows a

given rule.Record and deconstruct standard in math notebook!


Lesson 2.4 Focus

What is a math rule for the

situation?


Lesson 2.4 Purpose

You have learned how to find number pairs

that fit a pattern and a rule. Today, you will

learn how to find a rule for a table that already

has some pairs of numbers.


Lesson 2.4 Connect

• What happens when you put a coin

in a vending machine and make a

selection?

• What do you think happens in the

machine for you to get the item?


Pose the Problem

•What is a rule for the first table on your recording sheet?

•A number machine takes in one number and puts out

another number.

• If Nelson’s number is 11, what is Pam’s number?

• If Nelson’s number is 7, what is Pam’s number?

Nelson’s Age 4 10 8 11 7

Pam’s Age 2 8 6




•Complete the other tables on the recording

sheet and write a rule for each table.


Extend

•Look back at the first table you made. Write a word

problem to match one of the pairs of numbers in the table.

Nelson’s Age 4 10 8 11 7

Pam’s Age 2 8 6 9 5




Each team has the same number of students. What rule can be used to find the number of students in 8 math teams?

A. Add 28.

B. Multiply by 8.

C. Multiply by 4.

D. Divide by 8.


Each row has the same number of parking spaces. What rule can be used to find the number of parking spaces in 6 rows? A. Add 30.

B. Add 19.

C. Multiply by 11.

D. Multiply by 99.


Martin and Sue have the same birthday. If you know Martin’s age, how can you find Sue’s age? A. Subtract 4.

B. Add 4.

C. Multiply by 2.

D. Divide by 3.


Christy saves some money she earns. The table shows how much money she earned and saved for four days. What is the rule for the table?

A. Subtract 20¢.

B. Multiply by 3.

C. Subtract 25¢.

D. Add 30¢.


What rule can be used to find the number of hours Stephanie works in order to earn $56?A. Subtract 24.

B. Divide by 8.

C. Divide by 7.

D. Add 24.


Work Time


Workbook.





•Quick Check 2-4




to practice.



Lesson 2.5

Geometric Patterns




Review 2-5.




• 37 + 69•79 + 26•89 + 28•99 + 19


Fact Fluency



I can generate a number or shape

pattern that follows a given rule.

Record and deconstruct standard in math notebook!


Lesson 2.5 Focus

How can you describe block

towers?


Lesson 2.5 Purpose

You have learned that shapes can form a

unit that repeats to make a pattern.

Today, you will learn how some shapes

can also show growing patterns.


Lesson 2.5 Connect

• Have you ever made towers

with blocks?

• How do you make stories?


Pose the Problem

•Look at the tower of cubes. Do you

see a pattern in the number of cubes

in each tower? What would the next

two towers look like?



•Make a table that shows the number of

stories and the number of cubes for the

towers you just made. Use the pattern

you found.

Number of Stories

3 4 5 6 7 8 9 10 100

Number of Cubes

6 7 8


Extend

•Suppose a student wrote 11 and

15 as a pair of numbers for this

table. What error did this student

make?Number of Stories

3 4 5 6 7 8 9 10 100

Number of Cubes

6 7 8




Ricky is making diamond shapes in different sizes from pieces of wire. The diamonds will be used to decorate a barn for a barn dance. How many inches of wire will Ricky need to make a diamond with sides that are 9 inches long?

A. 18

B. 32

C. 34

D. 36

Diego is tiling a border on his bathroom wall. How many tiles will he need if the border is going to be 8 feet long?A. 64

B. 46

C. 36

D. 16

Ursula is building a pond in her back yard. All of the ponds that she can build have a width of 6 ft. What will be the distance around Ursula’s pond if the pond has a length of 9 feet?

A. 18

B. 30

C. 34

D. 42

Colleen is making picture frames from wood. All of the frames she makes have the same height. How many inches of wood will she need to make a frame that is 12 inches long?

A. 28

B. 24

C. 46

D. 120

Carla is planning a square vegetable garden. She wants to completely enclose the garden with fencing. How many feet of fencing will she have to buy if she decides to make each side of her garden 7 feet long?A. 14

B. 16

C. 28

D. 49

Work Time


Workbook.





•Quick Check 2-5




to practice.



Lesson 2.6

Problem Solving: Act It

Out and Use

Reasoning




Review 2-6.




• 8 + 4 + 18•18 + 4 + 18•28 + 5 + 27•24 + 3 + 48


Fact Fluency



I can identify a number or shape pattern.

Record and deconstruct standard in math notebook!


Lesson 2.6 Focus

How can you solve problems by

acting them out and using

reasoning?


Lesson 2.6 Purpose

You know how to solve problems when you can visualize

or “see” the situation described in the problem. Today,

you will learn to use objects to act out a problem when

it is not so each to visualize what is happening in a

problem.


Lesson 2.6 Connect

You have used drawings and

tables to help you solve

problems. Why are those tools

helpful?


Pose the Problem

•Nolan has collected 14 baseball cards,

including cards from the Rangers, the

Astros, and the White Sox. He has 3

Astros cards. He has 5 fewer White Sox

cards than Ranger cards. How many of

each kind of card is in Nolan’s collection?


Extend


•Create a problem that can be solved by acting out the

problem with objects.

•Then, trade with another pair and solve each other’s

problems.




Sophia is growing corn, squash, and cabbage in her garden. There are 24 vegetable plants in all. Eight of the plants are corn plants. There are 4 more squash plants than cabbage plants. How many squash plants are in Sophia’s garden?

A. 10

B. 8C. 6

D. 4

At a swim meet, competitors could win gold, silver, or bronze medals. Ethan’s High School’s swim team won a total of 16 medals. Four of the medals were gold. There were twice as many bronze medals as silver medals. How many bronze medals did the track team win?A. 4

B. 6C. 8

D. 10

Daniel has a collection of postcards from France, Germany, and England. There are 19 postcards in all. Six of the postcards are from France. There are 3 more postcards from England than from Germany. How many postcards does Daniel have from Germany?A. 3

B. 5C. 6

D. 8

There are 30 books in a bookcase. The books in the bookcase are all poetry, history, and art books. Ten of the books are art books. There are 6 fewer poetry books than history books. How many poetry books are in the bookcase?

A. 18

B. 15C. 7

D. 11

Isabella has 26 questions to do for homework in Math, Science, and English altogether. Twelve of the questions are for Science. Isabella has 2 more Math questions than English questions. How many Math questions does Isabella have for homework?

A. 14

B. 12C. 10

D. 8

Work Time


Workbook.





•Quick Check 2-6




to practice.



End of Topic

•Complete Topic 2 Test for Review.•Check Topic 2 Test with a partner.•Read All Roads Lead to Rome pages 18 and 19.

•Complete Math Library Master page 6.• Borrow a Math Textbook (from the cubbies). Complete Topic 2 Performance Task Assessment on page 62. You may work individually, with a partner, or in a small group.




to practice.



End of Topic 2

Topic 2 Assessment


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• https://www.youtube.com/watch?v=AikMFJRQ7TY

• http://www.online-stopwatch.com/full-screen-stopwatch/

• digitalbloggers.com

• www.clipartpanda.com

• purposeconsultant.wordpress.com

• www.wilpf.net

• www.sheilacallaham.com

•mobymax.com

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Documents

TOPIC 2 GENERATE AND ANALYZE PATTERNS. Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6