Patterns and the Coordinate Plane

Lesson 10

Objective

Solve real-world problems by graphing information represented in a table in the coordinate plane and interpret coordinate values of points in the context of the situation.

Common Core Standards

Core Standards

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  • 5.G.A.2 — Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

Criteria for Success

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  1. Graph points represented in a table on a coordinate plane. 
  2. Contextualize and decontextualize a coordinate pair based on the situation, e.g., the point (0, 4) in Anchor Task #1 represents how much a typical male greyhound weighs (4 pounds) when he’s born (0 months) (MP.2). 
  3. Understand the steepness of a line graph is related to the rate of it, e.g., how quickly or slowly change is happening. 
  4. Answer simple word problems regarding data represented in a coordinate graph (MP.4). 
  5. Make conjectures about data that aren’t explicitly represented in the graph or table itself. 
  6. Understand the limitations of conjectures or conclusions drawn from data represented in a line graph.
  7. See the advantages of representing a situation on a graph, e.g., it helps to see the magnitude of the numbers in relation to one another.

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Anchor Tasks

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Problem 1

  1. The following ordered pairs show the weight of a typical male greyhound, a breed of dog, during the first 28 months of his life. Graph the corresponding points, then connect the points in the order they are given to form a line graph.
Age (in months) Weight (in pounds)
0 4
4 30
8 55
12 66
16 69
20 72
24 72
28 72
  1. What do you notice? What do you wonder?

Guiding Questions

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References

Illustrative Mathematics Meerkat Coordinate Plane Task

Meerkat Coordinate Plane Task, accessed on May 23, 2018, 3:40 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.

Modified by The Match Foundation, Inc.
EngageNY Mathematics Grade 5 Mathematics > Module 6 > Topic D > Lesson 19Concept Development

Grade 5 Mathematics > Module 6 > Topic D > Lesson 19 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by The Match Foundation, Inc.

Problem 2

Using the information about a typical male greyhound’s weight from Anchor Task #1, answer the following questions. 

  1. How much does a typical male greyhound weigh when he is born?
  2. What does the coordinate pair (12, 66)  mean in the context of this graph?
  3. How much weight does the typical male greyhound gain in the first 4 months of his life? How do you know? What about between 4 months and 8 months? How do you know?
  4. How long does it take the typical male greyhound to grow from 55 to 69 pounds? 
  5. When does the typical male greyhound gain weight the fastest? How do you know? What about the slowest?

Guiding Questions

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References

EngageNY Mathematics Grade 5 Mathematics > Module 6 > Topic D > Lesson 19Concept Development

Grade 5 Mathematics > Module 6 > Topic D > Lesson 19 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by The Match Foundation, Inc.
Illustrative Mathematics Meerkat Coordinate Plane Task

Meerkat Coordinate Plane Task, accessed on May 23, 2018, 3:40 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.

Modified by The Match Foundation, Inc.

Problem 3

Using the information about the typical male greyhound’s weight from Anchor Task #1, answer the following questions. 

  1. How heavy do you think a typical male greyhound gets? How do you know from the graph? 
  2. At what age do male greyhounds reach their full weight? Why?
  3. How heavy do you think a typical female greyhound gets? Why?

Guiding Questions

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References

EngageNY Mathematics Grade 5 Mathematics > Module 6 > Topic D > Lesson 19Concept Development

Grade 5 Mathematics > Module 6 > Topic D > Lesson 19 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by The Match Foundation, Inc.
Illustrative Mathematics Meerkat Coordinate Plane Task

Meerkat Coordinate Plane Task, accessed on May 23, 2018, 3:40 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.

Modified by The Match Foundation, Inc.

Problem Set & Homework

Discussion of Problem Set

  • What method would you choose in #1(d)? Can he expect to always get those results? What other things might affect the growth of the tomatoes? 
  • When did Howard likely get paid in #2(d)? Why do you think that? When did Howard likely buy a television? How do you know? 
  • How did you find the answer for #3(c)? Did you use subtraction or just look for the steepest line?
  • How did you set up your work when solving for #3(e)?
  • Would the graph of a different rainy day have the same shape as the graph in #3? How might it be the same? Different?

Target Task

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The line graph below tracks the water level of Plainsview Creek, measured each Sunday for 8 weeks.  Use the information in the graph to answer the questions that follow.

  1. About how many feet deep was the creek in Week 1?  
  2. According to the graph, which week had the greatest change in water depth?
  3. It rained hard throughout the sixth week. During what other weeks might it have rained?  Explain why you think so.

References

EngageNY Mathematics Grade 5 Mathematics > Module 6 > Topic D > Lesson 19Exit Ticket

Grade 5 Mathematics > Module 6 > Topic D > Lesson 19 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by The Match Foundation, Inc.

Mastery Response

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