Examples for

# Common Core Math: Grade 7

In seventh grade, students gain fluency in manipulating expressions and solving equations, including those with negative numbers and numbers expressed as fractions or decimals. Students compute with percentages and ratios and describe proportional relationships using numerical, graphical, algebraic and verbal representations. Students analyze and compare data from random samples and generalize to make inferences about populations. Students also work with probability, performing probability experiments and computing probabilities with probability models. Students compute areas, volumes and surface areas of regular and irregular shapes and solve problems involving angles, including drawing shapes to match given geometric conditions and classifying types of triangles.

### Common Core Standards

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Manipulate expressions and solve equations and inequalities, including those with negative numbers.

#### Simplify expressions (CCSS.Math.Content.7.EE.A.1):

#### Factor expressions (CCSS.Math.Content.7.EE.A.1):

#### Solve an equation (CCSS.Math.Content.7.EE.B.4a):

#### Solve an inequality (CCSS.Math.Content.7.EE.B.4b):

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):

Perform arithmetic with integers, fractions and decimals, including with multiple operations in one expression.

#### Add and subtract rational numbers (CCSS.Math.Content.7.NS.A.1):

#### Recognize patterns in multiplication and division (CCSS.Math.Content.7.NS.A.2):

#### Perform multiple operations with rational numbers (CCSS.Math.Content.7.NS.A.2c):

#### Convert a rational number to a decimal (CCSS.Math.Content.7.NS.A.2d):

Compute with ratios and percents in various contexts.

#### Determine the unit rate associated with a ratio (CCSS.Math.Content.7.RP.A.1):

#### Represent changes in quantities with percents (CCSS.Math.Content.7.RP.A.3):

#### Determine prices and tips using percentages (CCSS.Math.Content.7.RP.A.3):

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Analyze and compare datasets, including those from probability experiments.