Patterns and the Coordinate Plane

Lesson 11

Objective

Solve 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 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.

  • 5.OA.B.3 — Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. For example, given the rule "Add 3" and the starting number 0, and given the rule "Add 6" and the starting number 0, generate terms in the resulting sequences, and observe that the terms in one sequence are twice the corresponding terms in the other sequence. Explain informally why this is so.

Foundational Standards

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  • 4.OA.C.5

Criteria for Success

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  1. Graph points represented in a description of a situation on a coordinate plane.
  2. Contextualize and decontextualize a coordinate pair based on the situation, e.g., the point (2, 27) in Anchor Task #1 represents how much money Jessica has ($27) after a certain amount of time babysitting (2 hours) (MP.2). 
  3. Answer word problems regarding information represented in a coordinate graph (MP.4). 

Tips for Teachers

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This lesson connects the work of graphing points on the coordinate place to solve real-world and mathematical problems (5.G.A) with analyzing relationships (5.OA.B), connecting content across domains.

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Anchor Tasks

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Jessica has $15 saved. She earns $6 per hour for babysitting. 

  1. Construct a graph to show how much money Jessica will have after each hour of babysitting. 
  2. What ordered pair corresponds with how much money Jessica has before she does any babysitting? 
  3. What does the ordered pair (2, 27) represent in the context of this problem? 
  4. Jessica babysits for 4 hours. How much money does she now have? 
  5. Jessica wants to buy a video game that costs $45. How many hours does Jessica need to babysit in order to be able to buy it?

Guiding Questions

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Problem Set & Homework

Discussion of Problem Set

  • How did you solve #2? How did the graph make it easier to solve? What was difficult about the way the graph was set up, though?
  • How did you solve #4? Did anyone create a table or draw a graph? Or did you use another strategy? 
  • What made #5 more challenging? How did you approach solving? 
  • How long would it take Dean to read 20 books in #5? How do you know? How many books could he read in 12 days? How do you know?

Target Task

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Jordan has $10 in the bank. Jordan earns $5 each week for doing chores, and he puts the money in the bank. After a certain number of weeks of doing chores, Jordan has $35. A graph is set up so that Jordan can record the total amount of money in the bank each week after putting in $5.

Part A

Which ordered pair represents the amount of money Jordan has in the bank before doing any chores?

  1. (0, 10)
  2. (0, 35)
  3. (10,0)
  4. (35,0)

Part B

Which ordered pair represents the amount of money Jordan has after 4 weeks of doing chores?

  1. (4, 20)
  2. (4, 30)
  3. (20, 4)
  4. (30, 4)

Part C

After how many weeks does Jordan have $35? Show or explain your work

References

PARCC Released Items Math Spring 2017 Grade 5 Released ItemsQuestion #25

Math Spring 2017 Grade 5 Released Items is made available by The Partnership for Assessment of Readiness for College and Careers (PARCC). Copyright © 2017 All Rights Reserved. Accessed May 23, 2018, 11:29 a.m..

Modified by The Match Foundation, Inc.

References

Mastery Response

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