6th

Ratios and Proportional Relationships

The Number System

Expressions and Equations

Geometry

Statistics and Probability

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

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

Compute fluently with multi-digit numbers, and find common factors and multiples.

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

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.

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

Develop understanding of statistical variability.

Summarize and describe distributions.

Not applicable

Demonstrate a simple ratio relationship.

Not applicable.

Compare the relationships between two unit fractions.

Apply the concept of fair share and equal shares to divide.

Solve two-factor multiplication problems with products up to 50 using concrete objects and/or a calculator. 

Not applicable.

Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero).

Identify equivalent number sentences

Apply the properties of addition to identify equivalent numerical expressions.

Not applicable.

Match an equation to a real-world problem in which variables are used to represent numbers.

Not applicable.

Not applicable

Solve real-world and mathematical problems about area using unit squares.

Solve real-world and mathematical problems about volume using unit cubes.

Not applicable.

Not applicable.

Display data on a graph or table that shows variability in the data.

Not applicable.

Not applicable.

Summarize data distributions shown in graphs or tables.