# Overview - 6th grade plus

Big Ideas Math, Grade 6 (Green) Textbook:

http://www.corestandards.org/Math/Content/6/introduction/

### Ratios and Proportional Relationships

• Understand ratio concepts and use ratio reasoning to solve problems.

### The Number System

• Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

• Multiply and divide multi-digit numbers and find common factors and multiples.

• Apply and extend previous understandings of numbers to the system of rational numbers.

### Expressions and Equations

• Apply and extend previous understandings of arithmetic to algebraic expressions.

• Reason about and solve one-variable equations and inequalities.

• Represent and analyze quantitative relationships between dependent and independent variables.

### Geometry

• Solve real-world and mathematical problems involving area, surface area, and volume.

### Statistics and Probability

• Develop understanding of statistical variability.

• Summarize and describe distributions.

### 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.

Big Ideas 7th grade (Red) Textbook:

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.