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.

Kindergarten

Define and compare shapes.

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

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Identify and partition shapes.

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

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Classify shapes and plot points on a coordinate grid.

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

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Compute volumes of solids and apply the Pythagorean theorem.

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

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Define and partition shapes.

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

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Classify and partition shapes.

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

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

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

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High School

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

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### RELATED EXAMPLES

• Common Core Math: Algebraic Thinking
• Common Core Math: Expressions & Equations
• Common Core Math: Fractions
• Common Core Math: Functions
• Common Core Math: Measurement & Data
• Common Core Math: Numbers in Base Ten
• Common Core Math: Number System
• Common Core Math: Ratios & Proportions
• Common Core Math: Statistics & Probability
• Elementary Math

Classify shapes and define two-dimensional objects using angles.

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

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