GENERATE AND ANALYZE PATTERNS Topic 2 GENERATE AND ANALYZE PATTERNS

Lesson 1 Lesson 4 Lesson 2 Lesson 5 Lesson 3 Lesson 6

Review What You Know – Vocabulary Record answers in your math notebook. Choose the best term from the box. To put together equal groups to find the total number, you __. To decide if 4 has more ones or fewer ones than 8, __ the numbers. To separate into equal groups, you __. compare multiply divide regroup

Review What You Know – Number Patterns Record answers in your math notebook. 3, 6, 9, 12, __, 18 4, 8, 12, __, 20, 24 8, 7, 6, __, 4, 3 30, 25, 20, 15, __, 5

Review What You Know – Multiplication Facts Record answers in your math notebook. 4 x 3 3 x 5 7 x 2 5 x 6 2 x 4 3 x 7

Review What You Know – Division Facts Record answers in your math notebook. 20 ÷ 4 10 ÷ 5 18 ÷ 6 28 ÷ 4 24 ÷ 6 56 ÷ 8

Review What You Know – Writing to Explain Record 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

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

Lesson 2.1 Learning Target I can identify a number or shape pattern. Deconstruct standard in math notebook!

How can you continue a repeating pattern? 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.

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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

Brendan is decorating the top of the math bulletin board 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 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 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 C.    8, 2, 4 D.    6, 8, 10

A candle shop sells candles in different shapes 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

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Lesson 2.2 Number Sequences

Complete Daily Common Core Review 2-2.

Number Talk (in small group) 5 – 15 minute session 18 + 10 18 + 13 18 + 20 18 + 23

Fact Fluency

Lesson 2.2 Learning Target 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.

Small-Group Interaction Work with a partner. 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.

Visual Learning Animation

Find the missing number in the pattern. 429,ﾠﾠ 4,290,ﾠ ﾠ42,900,ﾠ ﾠ_____ 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 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 Complete Practice 2-2 in Math Workbook. Complete Enrichment 2-2. Check ALL work with a partner.

Formative Assessment Quick Check 2-2

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Lesson 2.3 Extending Tables

Complete Daily Common Core Review 2-3.

Number Talk (in small group) 5 – 15 minute session 56 + 40 56 + 50 156 + 40 156 + 43

Fact Fluency

Lesson 2.3 Learning Target I can generate a number or shape pattern that follows a given rule. Record and deconstruct standard in math notebook!

What pairs of numbers fit a pattern? 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 Number of Packs Number of Juice Boxes 1 3 2 6 9 4 5 10 100 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?

Pose the Problem Extend the table. 1 2 4 3 6 5 10 100 Number of Bicycles Number of Wheels 1 2 4 3 6 5 10 100 Extend the table.

Extend Work with a partner. Create a table and complete the first 3 rows. Trade tables with another pair to extend the table.

Visual Learning Animation

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  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 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 Complete Practice 2-3 in Math Workbook. Complete Enrichment 2-3. Check ALL work with a partner.

Formative Assessment Quick Check 2-3

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Writing Rules for Situations Lesson 2.4 Writing Rules for Situations

Complete Daily Common Core Review 2-4.

Number Talk (in small group) 5 – 15 minute session 10 + 13 7 + 13 10 + 25 7 + 25

Fact Fluency

Lesson 2.4 Learning Target I can generate a number or shape pattern that follows a given rule. Record and deconstruct standard in math notebook!

What is a math rule for the situation? 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 6

Small-Group Interaction Work with a partner. 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 6 9 5

Visual Learning Animation

Each team has the same number of students 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 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 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 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 Complete Practice 2-4 in Math Workbook. Complete Enrichment 2-4. Check ALL work with a partner.

Formative Assessment Quick Check 2-4

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Lesson 2.5 Geometric Patterns

Complete Daily Common Core Review 2-5.

Number Talk (in small group) 5 – 15 minute session 37 + 69 79 + 26 89 + 28 99 + 19

Fact Fluency

Lesson 2.5 Learning Target I can generate a number or shape pattern that follows a given rule. Record and deconstruct standard in math notebook!

How can you describe block towers? 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.

Have you ever made towers with blocks? 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?

Small-Group Interaction 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

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

Visual Learning Animation

Ricky is making diamond shapes in different sizes from pieces of wire 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 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 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 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 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 Complete Practice 2-5 in Math Workbook. Complete Enrichment 2-5. Check ALL work with a partner.

Formative Assessment Quick Check 2-5

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Problem Solving: Act It Out and Use Reasoning Lesson 2.6 Problem Solving: Act It Out and Use Reasoning

Complete Daily Common Core Review 2-6.

Number Talk (in small group) 5 – 15 minute session 8 + 4 + 18 18 + 4 + 18 28 + 5 + 27 24 + 3 + 48

Fact Fluency

Lesson 2.6 Learning Target I can identify a number or shape pattern. Record and deconstruct standard in math notebook!

How can you solve problems by acting them out and using reasoning? 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 Work with a partner. 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.

Visual Learning Animation

Sophia is growing corn, squash, and cabbage in her garden  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. 8 C. 6 D. 4

At a swim meet, competitors could win gold, silver, or bronze medals 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. 6 C. 8 D. 10

Daniel has a collection of postcards from France, Germany, and England 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. 5 C. 6 D. 8

There are 30 books in a bookcase 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. 15 C. 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. 12 C. 10 D. 8

Work Time Complete Practice 2-6 in Math Workbook. Complete Enrichment 2-6. Check ALL work with a partner.

Formative Assessment Quick Check 2-6

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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.

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End of Topic 2 Topic 2 Assessment

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