Learn on PengiIllustrative Mathematics, Grade 5Chapter 7: Shapes on the Coordinate Plane

Lesson 2: Plot More Points

In this Grade 5 Illustrative Mathematics lesson (Chapter 7, Lesson 2), students practice plotting and naming points on a coordinate grid, including points on the horizontal and vertical axes where one coordinate equals zero. Students explore how points sharing the same x- or y-coordinate align on a horizontal or vertical line, reinforcing precision in writing coordinate pairs such as (3, 0) and (0, 2). The lesson builds toward standard 5.G.A.1 and deepens understanding of coordinate structure through estimation and reasoning activities.

Section 1

Plot points on a rectangular coordinate system

Property

An ordered pair, (x,y)(x, y), gives the coordinates of a point in a rectangular coordinate system. The first number is the xx-coordinate. The second number is the yy-coordinate.

The point (0,0)(0, 0) is called the origin. It is the point where the xx-axis and yy-axis intersect.

Points with a yy-coordinate equal to 00 are on the xx-axis, and have coordinates (a,0)(a, 0).

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Plot points on a rectangular coordinate system

Property

An ordered pair, (x,y)(x, y), gives the coordinates of a point in a rectangular coordinate system. The first number is the xx-coordinate. The second number is the yy-coordinate.

The point (0,0)(0, 0) is called the origin. It is the point where the xx-axis and yy-axis intersect.

Points with a yy-coordinate equal to 00 are on the xx-axis, and have coordinates (a,0)(a, 0).