Middle School Math

General listing of subjects to be covered using Common Core Standards as summarized by Rosanne Doege (seventh grade special education teacher).

6^thgrade

Ratio and rate

Ratio, unit rates, % of a quantity, convert measurement units, unit pricing, constant speed

Number System

Division of fractions, computation with decimals, GCF, LCM, distributive property

Integers, ordering and comparing, number line, absolute value, coordinate graph

Expressions and Equations

Evaluate exponents, writing expressions, evaluating expressions, distributive property with variables, l variable equations, use expressions and equations to represent real world problems, graphs and tables for two variables, graph inequalities on a number line

Geometry

Find area of triangles, trapezoids, rectangles, parallelograms, and combinations, find volume of prisms, graph shapes on coordinate plane, use nets to determine surface area

Statistics and Probability

Recognize a statistical question, distribution, measures of central tendency. Display data on histograms, scatter plots, box and whisker plots, be able to summarize the data

7^thgrade

Ratios and Proportions

Continue unit rates, recognize proportional relationships, graph proportional relationships, represent proportions by equations, Use proportions to solve percent problems such as interest, tip, discounts, taxes, percent increase or decrease. Use proportions for scale drawings.

Number System

Add, subtract, multiply, divide rational numbers and represent on number lines. Solve real world problems involving the four operations. Compute with integers.

Expressions and Equations

Use add, subtract, factor, and expand to determine if two expressions are equivalent. Simplify expressions. Use distributive property. Rewrite expressions and equations. Use expressions and equations to represent real world problems. Solve multi-step real world problems involving a combination of rational numbers.

Geometry

Continue work with area and circumference and expand to surface area of three dimensional figures. Find volume. Identify the different types of triangles. Examine cross sections of three dimensional figures. Recognize the relationships between angles of intersecting lines. Supplementary, complementary, adjacent, and vertical angles. Solve real world problems involving area and volume.

Statistics and Probability

Study sampling and random samples to discuss a population. Use measures of central tendency to compare samples. Begin understanding probability by comparing experimental probability with theoretical probability. Find probability of compound events.

8^thgrade

Functions

Understand meaning of a function, graph functions, compare functions using graphs, tables, verbal explanations, interpret slope intercept form and use to compare, write functions based on descriptions and graphs, describe a functional relationship by analyzing the graph

Number System

Expand knowledge of number system to include irrational numbers. Use graphic organizer to examine number sets (integers, rational, irrational, ect.), place numbers on number line, approximate position for irrational numbers,

Expressions and Equations

Apply understanding of integer exponents, use square root and cube root, scientific notation and operations with scientific notation, graph proportional relationships, use slope intercept form of equations, solve linear equations, solve simultaneous linear equations and graph, use graphing to solve real world problems.

Geometry

Understand rotations, reflections, translations and congruence. Describe rotations, reflections, translations, and dilations using the coordinate plane. Discuss similar figures. Begin informal proofs to describe the reason for the sum of the angles of a triangle. Pythagorean Theorem and apply in real world problems, use Pythagorean Theorem to determine the distance between two points on the coordinate plane. Use formulas for cylinders, cones, and spheres and use them to solve real world problems.

Statistics and Probability

Construct and analyze scatter plots of data, describe the line of best fit for a data set and discuss the slope of the line as it relates to the data, construct two way tables for data and discuss a connection between the two sets of data if one exists,