7th grade plus

Big Ideas 7th grade (Red) Textbook:

Big Ideas, 8th grade (Blue) textbook:

Grade 7 Overview

http://www.corestandards.org/Math/Content/7/introduction/

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

    • Make sense of problems and persevere in solving them.

    • Reason abstractly and quantitatively.

    • Construct viable arguments and critique the reasoning of others.

    • Model with mathematics.

    • Use appropriate tools strategically.

    • Attend to precision.

    • Look for and make use of structure.

    • Look for and express regularity in repeated reasoning.

Grade 8 Overview

http://www.corestandards.org/Math/Content/8/introduction/

The Number System

    • Know that there are numbers that are not rational, and approximate them by rational numbers.

Expressions and Equations

    • Work with radicals and integer exponents.

    • Understand the connections between proportional relationships, lines, and linear equations.

    • Analyze and solve linear equations and pairs of simultaneous linear equations.

Functions

    • Define, evaluate, and compare functions.

    • Use functions to model relationships between quantities.

Geometry

    • Understand congruence and similarity using physical models, transparencies, or geometry software.

    • Understand and apply the Pythagorean Theorem.

    • Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.

Statistics and Probability

    • Investigate patterns of association in bivariate data.

Mathematical Practices

    • Make sense of problems and persevere in solving them.

    • Reason abstractly and quantitatively.

    • Construct viable arguments and critique the reasoning of others.

    • Model with mathematics.

    • Use appropriate tools strategically.

    • Attend to precision.

    • Look for and make use of structure.

    • Look for and express regularity in repeated reasoning.