Examples for

# Common Core Math: Grade 6

In sixth grade, students work with algebraic expressions involving exponents and variables. Students manipulate expressions, verify solutions to equations and inequalities, and algebraically solve one-step equations. Students explore relationships between two quantities, distinguishing between independent and dependent variables. Students collect data by asking statistical questions and summarize the resulting data distributions, both by reporting measures of center and spread and by displaying data in plots. Students perform arithmetic with fractions and negative numbers, visualizing their work with number lines, tape diagrams and plots. Students also work with ratios to describe proportional relationships and percentages.

### Common Core Standards

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Write, evaluate and manipulate expressions and solve equations and inequalities.

#### Write an expression to represent a verbal description (CCSS.Math.Content.6.EE.A.2a):

#### Evaluate an expression (CCSS.Math.Content.6.EE.A.2c):

#### Write equivalent expressions (CCSS.Math.Content.6.EE.A.3):

#### Solve an equation (CCSS.Math.Content.6.EE.B.7):

#### Verify solutions to equations and inequalities (CCSS.Math.Content.6.EE.B.5):

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):

Perform arithmetic with, explore properties of and plot rational numbers.

#### Divide with fractions (CCSS.Math.Content.6.NS.A.1):

#### Perform arithmetic with decimals (CCSS.Math.Content.6.NS.B.3):

#### Calculate the greatest common factor (CCSS.Math.Content.6.NS.B.4):

#### Represent numbers on a number line (CCSS.Math.Content.6.NS.C.6c):

#### Plot ordered pairs as points (CCSS.Math.Content.6.NS.C.6b):

#### Find the distance between two points (CCSS.Math.Content.6.NS.C.8):

Define and compute with percents and ratios.

#### Determine the unit rate associated with a ratio (CCSS.Math.Content.6.RP.A.2):

#### Calculate a percentage of a number (CCSS.Math.Content.6.RP.A.3c):

#### Convert a fraction to a percentage (CCSS.Math.Content.6.RP.A.3c):

### GO FURTHER

Step-by-Step Solutions for AlgebraPre-Algebra Web AppFree Unlimited Algebra Practice Problems### RELATED EXAMPLES

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