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/