# 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.