Examples for

The Geometry domain extends across all grade levels. From kindergarten to eighth grade, students define, categorize and manipulate shapes, both two-dimensional and three-dimensional. Students define attributes of shapes to identify increasingly precise categories, such as rectangles, quadrilaterals and parallelograms. Students combine known shapes to create new figures and also partition shapes into smaller pieces, of which they can eventually compute area, perimeter, surface area, volume and other geometric measurements. The concept of angles is introduced in fourth grade, in which students identify parallel and perpendicular lines and right triangles; by seventh grade, students solve problems involving angle measurements and properties of angles. In fifth grade, students learn to plot points on a coordinate grid; by eighth grade, students rotate, reflect, translate and dilate plotted figures in the coordinate plane to explore congruence and similarity.

Define and compare shapes.

Identify and partition shapes.

Classify shapes and plot points on a coordinate grid.

Compute volumes of solids and apply the Pythagorean theorem.

Define and partition shapes.

Classify and partition shapes.

Compute area, volume and surface area. Plot points on a coordinate plane.

Discover content covered in the High School Geometry Common Core Standards, including defining geometric objects algebraically and proving geometric theorems.

Step-by-Step Solutions for Arithmetic

Pre-Algebra Web App

Free Unlimited Arithmetic Practice Problems

Classify shapes and define two-dimensional objects using angles.

Draw shapes and compute geometric measurements.