United States · Common Core State Standards
7th Grade Mathematics
This course bridges elementary arithmetic and formal algebra by focusing on proportional relationships and operations with rational numbers. Students develop deep conceptual understanding of linear expressions and geometric measurement to solve complex real world problems.
The World of Ratios and Proportions
Students explore the constant of proportionality and represent relationships through tables, graphs, and equations.
Identifying and computing unit rates associated with ratios of fractions and decimals.
Visualizing proportions on a coordinate plane and interpreting the origin.
Applying proportional reasoning to solve multi step ratio and percent problems.
Rational Number Operations
Expanding the number system to include all rational numbers and understanding their properties in operations.
Using number lines and absolute value to understand the movement of positive and negative values.
Developing rules for signs and converting between fractions and terminating or repeating decimals.
Applying operations with rational numbers to bank statements, debts, and credits.
Expressions and Linear Equations
Simplifying algebraic expressions and solving multi step equations with rational coefficients.
Using properties of operations to add, subtract, factor, and expand linear expressions.
Solving equations of the form px + q = r and p(x + q) = r fluently.
Writing and graphing inequalities to represent constraints in real world situations.
Geometry and Construction
Exploring scale drawings, geometric constructions, and the relationships between angles and shapes.
Computing actual lengths and areas from a scale drawing and reproducing drawings at different scales.
Constructing geometric shapes with given conditions and identifying unique triangles.
Using facts about supplementary, complementary, vertical, and adjacent angles to solve for unknowns.
Measuring the World
Solving real world problems involving area, surface area, volume, and the properties of circles.
Understanding the relationship between circumference, diameter, and area of a circle.
Calculating the total area of the faces of three dimensional figures.
Solving problems involving the volume of complex objects by breaking them into simpler parts.
Probability and Statistics
Using random sampling to draw inferences and investigating chance processes through probability models.
Understanding that statistics can be used to gain information about a population by examining a sample.
Using measures of center and variability to compare two numerical data distributions.
Finding the probability of events and using frequencies to estimate probabilities.