8th 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.

Classify, express, compare, and perform computations with rational numbers

Identify, estimate, and compare sizes of irrational numbers

Apply and extend previous understandings of arithmetic operations to rational or irrational numbers in solving real-world and mathematical problems

Work with radicals and integer exponents fluently

Define, evaluate, and compare linear functions

Model relationships between quantities using functions

Recognize the connections between proportional relationships, lines, and linear equations

Analyze and solve linear equations and inequalities

Analyze and solve pairs of simultaneous linear equations

Evaluate and find angles in polygons using properties of a triangle

Use and apply the Pythagorean theorem, and its converse, to solve problems

Identify parallel and perpendicular lines, and calculate the angles formed by a transversal

Apply congruence and similarity using physical models

Solve real-world and mathematical problems involving volumes of geometric containers

Draw geometric shapes with given conditions

Draw, construct, and describe area and circumference of a circle, including use of scale drawing for geometric figures

Describe random processes that underlie statistical experiments

Estimate the measures of central tendency for a data set

Identify or describe the patterns of association in a bivariate categorical data (having two variables), represented in a two-way table

Define, determine, and demonstrate probability of events using simple experiments