# 7th - Overview

7th Grade Power Standards

§5.NF.1- add and subtract including mixed fractions

§5.NF.7a- dividing unit fraction by a whole number

§5.NF.7b- dividing whole number by a unit fraction

§5.OA.1- evaluate numerical expressions with parentheses

§6.NS.1- multiply and divide fractions

§6.EE.4- simplify expressions

§6.EE.2c- evaluate algebraic expressions

§7.EE.4a- solve two-step equations

§7.NS.1d- add and subtract integers

§7.NS.2c- multiply and divide integers

**Unit: Decimals, Integers, Rational Numbers & Fractions**

**Big Ideas**:

Adding/Subtracting/Dividing Decimals, Comparing/Ordering Integers, Absolute Value, Adding/Subtracting/Multiplying/Dividing Integers, Order of Operations, Distributive Property, Rational Numbers, Adding/Subtracting/Multiplying/Dividing Fractions and Mixed Numbers

**Unit: Equations and Inequalities**

**Big Ideas**:

Evaluating/Writing Expressions, Solve One-Step/Two-Step Equations, Writing Inequalities, Graphing Inequalities, Solving One-Step/Two-Step Inequalities

**Unit: Ratios, Rates, Proportions**

**Big Ideas**:

Ratios, Unit Rates, Rate, Proportions, Solving Proportions

**Unit: Percents**

**Big Ideas**:

Find the Percent of a Number, Solving Percent Problems using Proportions, Solving Percent Problems using Equations, Percent Word Problems, Find Percent of Change

**Unit: Geometry: Angles, Triangles, Area & Surface Area**

**Big Ideas**:

Identifying and Classifying Angles, Triangles, Area, Perimeter, Circumference, 3-Dimensional Figures, Surface Area, Volume

**Unit: Statistics**

**Big Ideas**:

Random Samples and Surveys, Estimating Population Size, Mean, Median, Mode

**Unit: Probability**

**Big Ideas**:

Probability, Experimental Probability, Sample Spaces, Compound Events

## Grade 7 Overview

Ratios and Proportional Relationships

Analyze proportional relationships and use them to solve real-world and mathematical problems.

The Number System

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Expressions and Equations

Use properties of operations to generate equivalent expressions.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

Geometry

Draw, construct and describe geometrical figures and describe the relationships between them.

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Statistics and Probability

Use random sampling to draw inferences about a population.

Draw informal comparative inferences about two populations.

Investigate chance processes and develop, use, and evaluate probability models.

Mathematical Practices

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others.

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning.

http://www.corestandards.org/the-standards/mathematics/grade-7/introduction/