Patterns and the Coordinate Plane

Lesson 11

Math

Unit 7

5th Grade

Lesson 11 of 14

Objective


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

Common Core Standards


Core Standards

  • 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


  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. Solve real-world problems involving information represented on a coordinate plane, including interpreting relationships between coordinate values of points, e.g., a typical male greyhound in Anchor Task #1 grows 26 pounds in its first 4 months of life (MP.4) (optional). 
  4. Understand the steepness of a line graph is related to the rate of it, e.g., how quickly or slowly change is happening (optional). 
  5. Make conjectures about information that aren’t explicitly represented in the graph or table itself (optional). 
  6. Understand the limitations of conjectures or conclusions drawn from information represented in a line graph (optional).
  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 (optional).

Tips for Teachers


This lesson is an extension of Lesson 10, but here, students will plot points on the coordinate plane and do a bit more interpretation of the coordinate values of points. 

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Anchor Tasks

25-30 minutes


Problem 1

a.   The data table below shows 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

b.   What do you notice? What do you wonder?

Guiding Questions

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Student Response

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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 Fishtank Learning, 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 Fishtank Learning, Inc.

Problem 2

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

a.   How much does a typical male greyhound weigh when he is born?

b.   What does the coordinate pair (12, 66) mean in the context of this graph?

c.   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?

d.   How long does it take the typical male greyhound to grow from 55 to 72 pounds?

e.   Challenge: When does the typical male greyhound gain weight the fastest? How do you know? What about the slowest?

Guiding Questions

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Student Response

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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 Fishtank Learning, 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 Fishtank Learning, Inc.

Problem 3

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

a.   How heavy do you think a typical male greyhound gets? How do you know from the graph?

b.   At what age do male greyhounds reach their full weight? Why?

c.   How heavy do you think a typical female greyhound gets? Why?

Guiding Questions

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Student Response

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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 Fishtank Learning, 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 Fishtank Learning, Inc.

Problem Set

15-20 minutes


Discussion of Problem Set

  • How did you find the answer to #1(a) in the graph?
  • What is the meaning of the coordinate point (4, 5) in #1(c)?
  • How did you determine at what time the hot air balloon rose to 400 yards in #2(b)? How did you determine what height the balloon was at 5:50 in #2(c)?
  • How did you determine on what date Howard had $2,000 in his checking account in #3(b)?
  • When did Howard likely get paid in #3(f)? Why do you think that? When did Howard likely buy a television? How do you know? 
  • How did you determine how much rain had fallen by 5:00 p.m. in #4(b)?
  • How did you find the answer for #4(f)? Did you use subtraction or just look for the steepest line?
  • How did you set up your work when solving for #4(h)?
  • Would the graph of a different rainy day have the same shape as the graph in #4? How might it be the same? Different?

Target Task

5-10 minutes


January 31, 2019 was the coldest day of the year in Boston, MA. The hourly temperature for the first 12 hours of that day is shown in the graph below. 

a.   What was the temperature 3 hours after midnight?

b.   When was the temperature the lowest?

c.   Explain what the point (9, 6) represents in this situation.

Student Response

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Additional Practice


The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Next

Represent real-world problems by graphing information given as a description of a situation in the coordinate plane and interpret coordinate values of points in the context of a situation.

Lesson 12
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Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Introduction to the Coordinate Plane

Topic B: Drawing Figures and Shapes in the Coordinate Plane

Topic C: Real-World Problems and Patterns on the Coordinate Plane

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