Examples for

# Common Core Math: Geometry

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.

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Define and partition shapes.

#### Get definitions of shapes (CCSS.Math.Content.1.G.A.1):

#### Compare attributes of shapes (CCSS.Math.Content.1.G.A.1):

Classify shapes and define two-dimensional objects using angles.

#### Visualize geometric objects (CCSS.Math.Content.4.G.A.1):

#### Describe a category of shapes (CCSS.Math.Content.4.G.A.2):

Draw shapes and compute geometric measurements.

#### Draw a triangle with given side lengths, if possible (CCSS.Math.Content.7.G.A.2):

#### Draw shapes with given conditions (CCSS.Math.Content.7.G.A.2):

#### Solve for measurements of circles (CCSS.Math.Content.7.G.B.4):

#### Solve for measurements of three-dimensional solids (CCSS.Math.Content.7.G.B.6):

Define and compare shapes.

#### Name and recognize common shapes (CCSS.Math.Content.K.G.A.2):

#### Distinguish between flat and solid shapes (CCSS.Math.Content.K.G.A.3):

Identify and partition shapes.

#### Identify a shape with given attributes (CCSS.Math.Content.2.G.A.1):

#### Partition circles (CCSS.Math.Content.2.G.A.3):

Classify shapes and plot points on a coordinate grid.

#### Determine if a shape belongs to a given category (CCSS.Math.Content.5.G.B.3):

#### Plot ordered pairs as points (CCSS.Math.Content.5.G.A.1):

Compute volumes of solids and apply the Pythagorean theorem.

#### Solve for a missing side length of a right triangle (CCSS.Math.8.G.B.7):

#### Compute the distance between two points (CCSS.Math.8.G.B.8):

#### Find the volume of a cylinder (CCSS.Content.Math.8.G.C.9):

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Classify and partition shapes.

#### Compare properties of shapes (CCSS.Math.Content.3.G.A.1):

#### Partition circles (CCSS.Math.Content.3.G.A.2):

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

#### Find the area of a rectangle or triangle (CCSS.Math.Content.6.G.A.1):

#### Find the volume of a rectangular prism (CCSS.Math.Content.6.G.A.2):

#### Find the distance between two points (CCSS.Math.Content.6.G.A.3):

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