7th Grade

Students investigate numbers, ways of representing numbers, relationships among numbers, and number systems.

Students perform mathematical operations and determine how they relate to one another

Students investigate patterns, functions, and quantitative relationships and apply that knowledge to modeling, analyzing, or solving mathematical and real-world problems.

Students use symbolic forms, operations, and properties to represent, model, solve, and analyze mathematical situations and structures.

Students explore properties, relationships, and transformations of shapes and space using coordinate geometry and other representational systems.

Students explore concepts and practical applications of units, geometrical constructions, and measurements of plane and geometric shapes and space.

Students demonstrate statistical thinking and apply statistical methods to collect, organize, analyze, display, and make inferences based on data.

Students use concepts of chance and probability to explain outcomes of real-life situations.

Determine the unit rates associated with ratios of fractional quantities measured in like or different units

Recognize and represent proportional relationships between quantities

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

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers

Apply and extend previous understandings of multiplication and division, and of fractions, to multiply and divide rational numbers

Use proportional relationships to solve multistep ratio and percent problems

Solve multistep real-life and mathematical problems posed with positive and negative rational numbers in any form

Model linear relationships as functions between quantities, and analyze and represent them as algebraic equations

Use properties of operations to generate equivalent expressions and represent and analyze quantitative relationships between variables

Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities

Use the Pythagorean theorem to find the measure of a side of a right triangle

Solve real-world and mathematical problems involving angle measure, area, surface area, volume, and scale drawing

Use random sampling to draw inferences about a population

Assess the degree of visual overlap of two numerical data distributions with similar variabilities, and measure the difference between the centers

Explain the concept of chance using examples with numbers between 0 and 1 that express the likelihood of the events occurring

Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation