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IM 8 Ch1.1.1 What Stories Does A Graph Tell CPM Materials modified by Mr. Deyo How do I see the pattern? How is it changing? Is there another way to find a solution? .

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Page 1: How do I see the pattern? How is it changing? a solution?helpmeteach.weebly.com/uploads/1/7/1/0/17102056/_im_8__ch1.1.1… · About You: By what name do you like to be called? What

IM 8  Ch1.1.1 What Stories Does A Graph Tell

CPM Materials modified by Mr. Deyo

How do I see the pattern?

How is it changing?

Is there another way to find a solution?

.

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

By the end of the period, I will interpret points and connuous graphs, understanding that a point conveys two pieces of informaon and that a connuous graph conveys trends.  

I will demonstrate this by compleng Four‐Square notes and by solving problems in a pair/group acvity.

Learning TargetTitle:  IM8 ‐ Ch. 1.1.1 ‐ What Stories Can A Graph Tell? Date:

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

Home Work: Sec. 1.1.1Desc.         Date Due

Review & Preview  Pg. 

Problems 1‐3 to 1‐7

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

Page 5: How do I see the pattern? How is it changing? a solution?helpmeteach.weebly.com/uploads/1/7/1/0/17102056/_im_8__ch1.1.1… · About You: By what name do you like to be called? What

IM 8  Ch1.1.1 What Stories Does A Graph Tell

Vocabulary1) T

2) E

3) A

4) M

5) S

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

Page 7: How do I see the pattern? How is it changing? a solution?helpmeteach.weebly.com/uploads/1/7/1/0/17102056/_im_8__ch1.1.1… · About You: By what name do you like to be called? What

IM 8  Ch1.1.1 What Stories Does A Graph Tell

Team Roles

To help you and your team work together today, each member of your team has a specific job.  Your job is assigned by your first name (or last name if team members have the same first name).

Resource Manager (1st alphabetically)

Facilitator (2nd alphabetically)

Recorder/Reporter (3rd alphabetically)

Task Manager (4th alphabetically)

Page 8: How do I see the pattern? How is it changing? a solution?helpmeteach.weebly.com/uploads/1/7/1/0/17102056/_im_8__ch1.1.1… · About You: By what name do you like to be called? What

IM 8  Ch1.1.1 What Stories Does A Graph Tell

Team RolesResource Manager: If your name comes first alphabetically: 

Make sure that the team has tape. Ask the teacher when the entire team has a question. “No one has an idea? Should I ask the teacher?” Make sure your team cleans up by delegating tasks. You could say, “I will put away the ________ while you _________ .”

Facilitator: If your name comes second alphabetically: Start the team’s discussion of the graph by asking, “What could this graph be about? What are some ideas?” Help the team agree on a story: “Do we agree on all of the parts of our story?”

Recorder/Reporter: If your name comes third alphabetically: Tape the graph pieces together on a piece of paper to form the graph. Take notes for the team. The notes should include phrases like, “For part one…” and explanations like, “Because part one is not so steep…”

Task Manager: If your name comes fourth alphabetically: Remind the team to stay on task and not to talk to students in other teams. You can suggest, “Let’s move on to another part of the graph.” Listen for reasons and challenge your teammates to justify their thinking. “But why do you think that?”

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

1­1. GETTING TO KNOW YOU, Part One How can a graph tell a story? Today you will meet with your team members and work together to write a story for a graph. Your Task: As a team, come up with a story that could be represented by your team’s graph.  Think carefully about each part of the graph.  Once your team agrees on a story, make sure every member of the team can describe each part of the story.  You should also be able to explain its connection to the corresponding part of the graph.

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

1­1a&b. How can a graph tell a story? Today you will meet with your team members and work together to write a story for a graph. 

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

1­1c&d. How can a graph tell a story? Today you will meet with your team members and work together to write a story for a graph. 

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

1­1e&f. How can a graph tell a story? Today you will meet with your team members and work together to write a story for a graph. 

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

1­1g&h. How can a graph tell a story? Today you will meet with your team members and work together to write a story for a graph. 

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

1­1i&j. How can a graph tell a story? Today you will meet with your team members and work together to write a story for a graph. 

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

Suppose the graph here represents something about the four students in your team. But what is the graph about? Decide what information the x­ and y­axes could represent so that each point represents a different member of your team. Justify your statements.

P 1­2

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

P 1­3 MATHOGRAPHYWrite a letter about yourself that will help your teacher get to know you as an individual.  Address each of the general topics below (in bold).  Choose a few of the suggested questions to get you started.

About You: By what name do you like to be called?  What are your interests, talents, and hobbies?  What are you proud of?  With whom do you live?  What languages do you speak?  When is your birthday?  What are you like as a member of a team?  In what ways are you excited about working in a team?  In what ways are you nervous about it? 

You as a Math Student: Describe your memories as a math student from kindergarten until now.  What experiences in math have you liked?  Why?  How do you feel about taking this math class?  Have you ever worked in a team in a math class before?  What kinds of math do you imagine yourself doing in this class?

http://www.cpm.org/students/homework/CC3_Problems/CC3_Ch1_Answers/ch1_files/CC3_1_3m.html

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

P 1­3 MATHOGRAPHYAbout You: By what name do you like to be called?  What are your interests, talents, and hobbies?  What are you proud of?  With whom do you live?  What languages do you speak?  When is your birthday?  What are you like as a member of a team?  In what ways are you excited about working in a team?  In what ways are you nervous about it? 

http://www.cpm.org/students/homework/CC3_Problems/CC3_Ch1_Answers/ch1_files/CC3_1_3m.html

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

P 1­3 MATHOGRAPHYYou as a Math Student: Describe your memories as a math student from kindergarten until now.  What experiences in math have you liked?  Why?  How do you feel about taking this math class?  Have you ever worked in a team in a math class before?  What kinds of math do you imagine yourself doing in this class?

http://www.cpm.org/students/homework/CC3_Problems/CC3_Ch1_Answers/ch1_files/CC3_1_3m.html

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

P 1­4 DIAMOND PROBLEMSFinding and using a pattern is an important problem­solving skill you will use in algebra.  The patterns in Diamond Problems will be used later in the course to solve other types of algebraic problems.Look for a pattern in the first three diamonds below.  For the fourth diamond, explain how you could find the missing numbers (?) if you know the two numbers (#).

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

P 1­4 DIAMOND PROBLEMS (Continued)

Use the pattern you discovered on the previous page to complete each diamond problem. 

http://www.cpm.org/students/homework/CC3_Problems/CC3_Ch1_Answers/ch1_files/CC3_1_4m.html

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

P 1­5a&b

In this course, you will need to be able to work with numbers, words, and geometric representations.  Use each of these representations to answer the following problems.

a) Draw and shade a figure that represents 100%.  Label your figure “100%.”  Then describe the figure in words.

http://www.cpm.org/students/homework/CC3_Problems/CC3_Ch1_Answers/ch1_files/CC3_1_5m.html

b) Similarly, draw and shade figures that represent 50%, 25%, and 150%.  Label each figure and describe it in words.

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

P 1­5c In this course, you will need to be able to work with numbers, words, and geometric representations.  Use each of these representations to answer the following problems.

c) Write another fraction that is equivalent to  .  Draw diagrams to show that they are equal.  Then find the equivalent decimals for both fractions and write the equivalent percent.

http://www.cpm.org/students/homework/CC3_Problems/CC3_Ch1_Answers/ch1_files/CC3_1_5m.html

fractions decimals percents

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

P 1­5d In this course, you will need to be able to work with numbers, words, and geometric representations.  Use each of these representations to answer the following problems.

d) Draw and shade a figure that represents “one­third.”  How can this figure be represented with a number? 

http://www.cpm.org/students/homework/CC3_Problems/CC3_Ch1_Answers/ch1_files/CC3_1_5m.html

fraction decimal percent

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

P 1­5e In this course, you will need to be able to work with numbers, words, and geometric representations.  Use each of these representations to answer the following problems.

e) Describe what the diagram at right represents using words and numbers.

http://www.cpm.org/students/homework/CC3_Problems/CC3_Ch1_Answers/ch1_files/CC3_1_5m.html

fraction decimal percent

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

P 1­6 Susan’s apartment is shown at right.  Assuming that all rooms are rectangular, find the areas described below.  All measurements are in feet.  

a) Find the area of her living room.

b) Find the area of her entire apartment.

c)  How much larger than her bedroom is her living room?

d) Find the perimeter of the kitchen.

http://www.cpm.org/students/homework/CC3_Problems/CC3_Ch1_Answers/ch1_files/CC3_1_6m.html

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IM 8  Ch1.1.1 What Stories Does A Graph Tell

P 1­7 CAR COMPARISON The following three graphs describe two cars, A and B.

Decide whether each of the following statements is true or false. Explain your reasoning.a) The newer car is more expensive.

b) The slower car is larger.

http://www.cpm.org/students/homework/CC3_Problems/CC3_Ch1_Answers/ch1_files/CC3_1_7m.html

c) The larger car is newer.

d) The cheaper car carries more passengers.