Coordinate Plane Study Guide

A coordinate plane is a two-dimensional plane formed by two number lines, known as the x-axis and y-axis, that intersect at a right angle at a point called the origin. The coordinate plane is used to locate points and graph lines and shapes.

Key Concepts

1. X-Axis: The horizontal number line on the coordinate plane. Positive numbers are to the right of the origin, and negative numbers are to the left.

2. Y-Axis: The vertical number line on the coordinate plane. Positive numbers are above the origin, and negative numbers are below.

3. Origin: The point where the x-axis and y-axis intersect, denoted as (0, 0).

4. Coordinates: Points on the coordinate plane are written as (x, y), where x represents the horizontal position along the x-axis and y represents the vertical position along the y-axis.

Graphing Points

To graph a point (x, y) on the coordinate plane, start at the origin and move x units to the right if x is positive or to the left if x is negative. Then move y units up if y is positive or down if y is negative.

Quadrants

The coordinate plane is divided into four quadrants by the x-axis and y-axis. The quadrants are numbered counterclockwise starting from the top right quadrant as Quadrant I, and proceeding to Quadrant II, Quadrant III, and Quadrant IV.

Practice Questions

1. Plot the point (3, 4) on the coordinate plane.

2. Identify the quadrant in which the point (-2, -5) lies.

3. Find the coordinates of the point in Quadrant III that is 2 units to the left of the origin and 3 units below the x-axis.

◂Math Worksheets and Study Guides Seventh Grade. Plane Figures: Closed Figure Relationships

Study Guide

Plane Figures: Closed Figure Relationships

Worksheet/Answer key

Plane Figures: Closed Figure Relationships

Worksheet/Answer key

Plane Figures: Closed Figure Relationships

Worksheet/Answer key

Plane Figures: Closed Figure Relationships

The resources above cover the following skills:

Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Precisely describe, classify, and understand relationships among types of two- and three-dimensional objects using their defining properties.

Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.

Connections to the Grade 7 Focal Points (NCTM)

Data Analysis: Students use proportions to make estimates relating to a population on the basis of a sample. They apply percentages to make and interpret histograms and circle graphs.