WHAT WE LEARN IN MIDDLE SCHOOL MATH

**6th Grade Mathematics (250 Minimum Weekly Minutes)**

**Number Sense**

• Compares, orders, interprets, and solves problems using fractions, rations, proportions, and percentages

• Calculates and solves problems involving addition, subtraction, multiplication, and division

• Determines the least common multiple and greatest common divisor

• Uses estimation strategies for all operations

**Algebra and Functions**

• Writes, evaluates, analyzes, and solves verbal expressions in sentences as algebraic expressions and equations

• Explores algebraic expressions involving addition, subtraction, multiplication, and division

• Solves problems using correct order of operations Measurement and Geometry

• Understands the measurement of plane and solid shapes

• Knows the formula of the circumference and area

• Identifies the properties of two-dimensional shapes

• Understands the concept of a constant number like pi

**Statistics, Data Analysis, and Probability**

• Computes and analyzes statistical measurement for data sets

• Interprets, evaluates, and simplifies algebraic expressions

• Computes the range, mean, median, and mode of data sets

• Represents probabilities as ratios, proportions, and decimals between 0 and 1

**Mathematical Reasoning**

• Makes decisions about how to approach a problem, set up an equation, and solve an equation

• Makes precise calculations and checks the reasonability or validity of answers

**7th Grade Mathematics (250 Minimum Weekly Minutes)**

**Number Sense**

• Compares, orders, interprets, and solves problems using fractions, rations, proportions, and percentages

• Calculates and solves problems involving addition, subtraction, multiplication, and division

• Determines the least common multiple and greates common divisor

• Uses estimation strategies for all operations

**Algebra and Functions**

• Writes, evaluates, analyzes, and solves verbal expressions in sentences as algebraic expressions and equations

• Explores algebraic expressions involving addition, subtraction, multiplication, and division

• Solves problems using correct order of operations

**Measurement and Geometry**

• Understands the measurement of plane and solid shapes

• Knows the formula of the circumference and area

• Identifies the properties of two-dimensional shapes

• Understands the concept of a constant number like pi

**Statistics, Data Analysis, and Probability**

• Computes and analyzes statistical measurement for data sets

• Interprets, evaluates, and simplifies algebraic expressions

• Computes the range, mean, median, and mode of data sets

• Represents probabilities as ratios, proportions, and decimals between 0 and 1

**Mathematical Reasoning**

• Makes decisions about how to approach a problem, set up an equation, and solve an equation

• Makes precise calculations and checks the reasonability or validity of answers

**8th grade Mathematics (225 Minimum Weekly Minutes)**

**Number Sense**

• Identifies number systems and accurately computes within each system

• Compares and orders rational/irrational numbers

• Uses order of operations to solve complex problems

• Applies properties of rational numbers

• Applies the concepts and rules of exponents and roots

**Algebra and Functions**

• Interprets, translates, and evaluates data using algebraic terminology, expressions, and equations

• Identifies unknowns from problems

• Writes and solves one-step and multi-step equations

• Solves equations and inequalities involving absolute values

• Identifies slope and y-intercept

• Plots and graphs linear and non-linear equations

• Solves a system of linear equations in two variables

• Applies basic factoring to second and third degree polynomials

• Simplifies polynomials using properties and appropriate algorithms

• Applies algebraic techniques to rate, work, percent, and mixture problems

• Solves a quadratic equation by factoring, completing the square of, and applying the quadratic formula

**Measurement and Geometry**

• Classifies triangles by sides and angles

• Computes with and applies geometric concepts

• Uses symmetry, congruency, and similarity to geometric figures

• Calculates perimeter, area, volume, and surface area of geometric figures

• Applies the Pythagorean Theorem for problem solving

• Converts and compares like units of measurement within the standard and metric systems

**Statistics, Data Analysis, and Probability**

• Interprets, compares, makes predictions, and evaluates data from charts, tables, and graphs

• Applies the measures of central tendency

• Records and analyzes results of probability experiments

• Calculates probability of dependent and independent events

**Mathematical Reasoning**

• Analyzes problems by identifying patterns and relationships

• Applies various strategies appropriate for arriving at a solution

• Expresses the solution clearly and logically using appropriate properties and algorithms

• Evaluates the reasonableness of solutions