Place value and decimal fractions

Multi-Digit whole number and decimal fraction operations

Addition and subtraction of fractions

Multiplication and Division of Fractions and Decimal Fractions 

Measurement and Data

• Convert like measurement units within a given measurement system.

• Represent and interpret data.

• Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Geometry

• Graph points on the coordinate plane to solve real-world and mathematical problems.

• Classify two-dimensional figures into categories based on their properties.

Ratios and Unit Rates

The Number System

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

• 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.

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.

Percent and Proportional Relationships

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

Integer Exponents and Scientific notation 

The concept of Congruence

Similarity

Linear Equations

Functions from geometry

Linear Functions

Introduction to Irrational Numbers using Geometry