Lesson 4 | Patterns and the Coordinate Plane | 5th Grade Mathematics

Objective

Determine the interval needed to plot various points and practice plotting and identifying points on coordinate grids with various axes.

Common Core Standards

Core Standards

The core standards covered in this lesson

5.G.A.1 — Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

Geometry

5.G.A.1 — Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).

Foundational Standards

The foundational standards covered in this lesson

2.MD.B.6

Measurement and Data

2.MD.B.6 — Represent whole numbers as lengths from 0 on a number line diagram with equally spaced points corresponding to the numbers 0, 1, 2, …, and represent whole-number sums and differences within 100 on a number line diagram.
3.NF.A.2

Number and Operations—Fractions

3.NF.A.2 — Understand a fraction as a number on the number line; represent fractions on a number line diagram.

Criteria for Success

The essential concepts students need to demonstrate or understand to achieve the lesson objective

Decide on a scale for a coordinate plane given a set of points that must be on the graph.
Plot points whose x- and/or y-coordinate is/are not a multiple of the scale of the corresponding axis (i.e., the point will not be located on intersecting gridlines) (MP.6).

Tips for Teachers

Suggestions for teachers to help them teach this lesson

Similar to Lesson 3, attention to precision continues to be of great importance in Lesson 4, especially as students encounter points that are not on intersecting gridlines (MP.6).

Fishtank Plus

Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.

Anchor Tasks

Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding

Problem 1

Geraldo is plotting points on the following coordinate plane.

a. Geraldo needs to plot the following four points:

(0.8, 12)
(1.6, 18)
(1, 30)
(2, 3)

Can he plot all of his points on the provided coordinate plane? How do you know?

b. What would be a point that he couldn't fit on the coordinate plane above? How do you know?

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Problem 2

Determine the correct scale for the coordinate grid below so that all of the following points can be shown on it. Then plot the points.

(12, 4)
(4, $${1\over2}$$)
(6, $$3{1\over2}$$)
(12, $$2{1\over2}$$)
(17, 4)
(16, $$4{1\over4}$$)

Guiding Questions

Create a free account or sign in to access the Guiding Questions for this Anchor Problem.

Problem Set

Problem Set

Answer Keys

Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.

Discussion of Problem Set

What scale did you choose for the x-axis in #1? The y-axis?
Where did you plot the point (0, $$3\frac{1}{4}$$) in #1? What was more difficult about plotting this point compared to the others?
What scale did you choose for the x-axis in #2? The y-axis?
Where did you plot the point (0.25, 7) in #2? What was more difficult about plotting this point compared to the others?
Explain your thought process as you decided how to label the whole numbers along the x- and y-axes in #3.
Share your answer to #4(j) with your neighbor.

Target Task

A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved

Use the grid below to construct a coordinate grid on which you can plot the following points. Then plot and label the points.

Point	Coordinates
A	(0, 12)
B	($$\frac{1}{2}$$, 3)
C	(4, 0)

Student Response

An example response to the Target Task at the level of detail expected of the students.

Create a free account or sign in to view Student Response

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.

Extra Practice Problems

Extra Practice Problems

Answer Keys

Answer keys for Problem Sets and Extra Practice Problems are available with a Fishtank Plus subscription.

Word Problems and Fluency Activities

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

Lesson 3

Lesson 5

Lesson Map

Topic A: Introduction to the Coordinate Plane

Define a coordinate plane and identify the coordinates of given points.

5.G.A.1

Construct a coordinate plane and plot points given their coordinates.

5.G.A.1

Construct a coordinate plane with non-unit intervals and use it to plot and identify points.

5.G.A.1

Determine the interval needed to plot various points and practice plotting and identifying points on coordinate grids with various axes.

5.G.A.1

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.1 5.G.A.2

Draw parallel lines on a coordinate plane (optional).

5.G.A.1 5.G.A.2

Draw perpendicular lines on a coordinate plane (optional).

5.G.A.1 5.G.A.2

Draw shapes on a coordinate plane.

5.G.A.1 5.G.A.2

Draw symmetric figures on a coordinate plane.

5.G.A.1 5.G.A.2

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

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.

5.G.A.2

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.

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.2 5.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.

5.OA.B.3

Patterns and the Coordinate Plane

Objective

Common Core Standards

Core Standards

Geometry

Foundational Standards

Measurement and Data

Number and Operations—Fractions

Criteria for Success

Tips for Teachers

Anchor Tasks

Problem 1

Guiding Questions

Problem 2

Guiding Questions

Problem Set

Discussion of Problem Set

Target Task

Student Response

Additional Practice

Extra Practice Problems

Word Problems and Fluency Activities

Lesson Map

Request a Demo

Contact Information

School Information

What courses are you interested in?

ELA

Math

Are you interested in onboarding professional learning for your teachers and instructional leaders?

Any other information you would like to provide about your school?

Effective Instruction Made Easy