Curriculum / Math / 5th Grade / Unit 7: Patterns and the Coordinate Plane / Lesson 10
Math
Unit 7
5th Grade
Lesson 10 of 14
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Lesson Notes
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Understand that a coordinate plane can be used to represent real-world information and interpret coordinate values of points in the context of a situation.
The core standards covered in this lesson
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.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
25-30 minutes
Alfredo, Ben, and Corinne each take a handful of Good & Plenty candies. They each count how many pink candies they have and how many white candies they have. Their results are plotted on the graph below.
a. How many white candies does Alfredo have? How many pink candies?
b. How many white candies does Ben have? How many pink candies?
c. Who took the most total candies? Show or explain how you know.
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The graph below shows the number and value of coins some students had with them.
a. Tyler has 1 dime, 3 nickels, and 2 pennies. Which point represents Tyler’s coins? Label the point.
b. Lin has 3 quarters, 1 dime, and 1 penny. Which point represents Lin’s coins? Label the point.
c. Diego has 1 quarter and 1 dime. Write the coordinates of the point that represents Diego’s coins. Show or explain your reasoning.
d. Clare has 5 coins and does not have a quarter. Write the coordinates of the point that represents Clare’s coins.
e. Challenge: Which coins might Clare have? Explain or show your reasoning.
IM Grade 5 Unit 7 Lesson 12 Activity 2, accessed on Sept. 15, 2023, 1:20 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.
a. Who is represented by each point on the graph below?
b. Challenge: Plot a point that represents your height and age.
15-20 minutes
Problem Set
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
The coordinate plane below shows how long the runners on the track team ran for in minutes and how far they ran in miles.
a. Gerard ran for 50 minutes and ran a total of 7 miles. Label the point that represents Gerard.
b. One of the points on the graph above represents Zarifa’s run. She ran for 70 minutes. How far, in miles, did she run?
c. One of the points on the graph above represents Vern’s run. He ran 5 miles. For how long, in minutes, did he run?
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.
Extra Practice Problems
Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
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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.
Topic A: Introduction to the Coordinate Plane
Define a coordinate plane and identify the coordinates of given points.
Standards
5.G.A.1
Construct a coordinate plane and plot points given their coordinates.
Construct a coordinate plane with non-unit intervals and use it to plot and identify points.
Determine the interval needed to plot various points and practice plotting and identifying points on coordinate grids with various axes.
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Topic B: Drawing Figures and Shapes in the Coordinate Plane
Plot horizontal and vertical lines on a coordinate plane and find patterns in their coordinates.
5.G.A.15.G.A.2
Draw parallel lines on a coordinate plane (optional).
Draw perpendicular lines on a coordinate plane (optional).
Draw shapes on a coordinate plane.
Draw symmetric figures on a coordinate plane.
Topic C: Real-World Problems and Patterns on the Coordinate Plane
5.G.A.2
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.
5.G.A.25.OA.B.3
Generate two numerical patterns using two given rules, plotting the points, and identify multiplicative relationships between corresponding terms.
5.OA.B.3
Generate two numerical patterns using two given rules, plotting the points, and identify more complex relationships between corresponding terms.
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