Middle School Math Courses

  • 6th grade math, semester one

    Recommended Ages: Middle-schoolers

    Recommended Number of Credits: ​5- (equivalent to one semester)

  • 1. Understanding Numbers

    1.1 Mathematical Expressions

    1.2 Integers

    1.3 Place Value

    1.4 Composite vs. Prime Numbers

    1.5 Products & Factors

    1.6 Greatest Common Factor

    1.7 Least Common Multiple

    2. Mathematical Operations

    2.1 Adding and Subtracting Whole Numbers

    2.2 Multiplying Whole Numbers

    2.3 Dividing Whole Numbers

    2.4 Adding & Subtracting Positive and Negative Integers

    2.5 Absolute Value

    2.6 Graphing Points in an XY Coordinate Plane

    2.7 Find Lengths of Segments in an XY Coordinate Plane

    3. Fractions

    3.1 Using the Multiplicative Identity

    3.2 Reducing Fractions

    3.3 Changing Improper Fractions to Mixed Numbers

    3.4 Changing Mixed Numbers to Improper Fractions

    3.5 Adding and Subtracting Fractions

    3.6 Adding Mixed Numbers

    3.7 Subtracting Mixed Numbers

    3.8 Multiplying Fractions

    3.9 Dividing Fractions

    4. Ratios & Proportions

    4.1 Similarity & Ratios

    4.2 Using Ratios for Scaling Up

    4.3 Using Ratios for Scaling Down

    4.4 Using Ratios & Proportions for Real-Life Situations

    5. Understanding Decimals

    5.1 Decimal Place Value & Rounding

    5.2 Changing Fractions to Decimals

    5.3 Changing Decimals to Fractions

    5.4 Comparing & Ordering Decimals

    5.5 Adding & Subtracting Decimals

    5.6 Multiplying Decimals

    5.7 Dividing Decimals

    6. Percent

    6.1 Understanding Percent

    6.2 Percents & Fractions

    6.3 Percents & Decimals

    6.4 Multiplying Percents & Fractions

    7. Number Properties

    7.1 Order of Operations

    7.2 Commutative & Associative Properties

    7.3 Distributive Property

    7.4 Zero & Equality Properties

  • 6th grade math, semester two

    Recommended Ages: Middle-schoolers

    Recommended Number of Credits: ​5- (equivalent to one semester)

  • 1. Variable Expressions and Equations

    1.1 Understanding Variable Expressions

    1.2 Simplifying Expressions

    1.3 Solving Equations by Addition and Subtraction

    1.4 Solving Equations by Multiplication

    1.5 Understanding Inequalities

    2. Converting Units of Measure

    2.1 Converting Units of Length

    2.2 Converting Units of Liquid Volume

    2.3 Converting Units of Weight and Mass

    2.4 Converting Units of Time

    2.5 Converting Units of Temperature

    3. Basic Geometry Concepts

    3.1 Points, Lines, & Planes

    3.2 Line Segments and Rays

    3.3 Measuring Angles

    3.4 Complimentary, Supplementary, & Vertical Angles

    4. Geometric Figures

    4.1 Naming Triangles

    4.2 Naming Quadrilaterals

    4.3 Naming Polygons

    4.4 Circles

    4.5 Solid Figures

    4.6 Graphing Figures

    5. Perimeter and Area

    5.1 Perimeter

    5.2 Area of Rectangles

    5.3 Area of Parallelograms

    5.4 Area of Triangles

    5.5 Area of Trapezoids

    6. Volume and Surface Area

    6.1 Three Dimensional Shapes

    6.2 Prisms vs. Pyramids

    6.3 Volume of a Rectangular Prism

    6.4 Surface Area of a Rectangular Prism

    6.5 Volume of a Triangular Prism

    6.6 Surface Area of a Triangular Prism

    7. Displaying Data

    7.1 Histograms

    7.2 Scatterplots

    7.3 Pie Charts

    7.4 Dot Plots

    7.5 Bar Graphs

    7.6 Venn Diagrams

    7.7 Stem & Leaf Plots

    7.8 Measures of Central Tendency: mean, median, mode, range

  • 7th grade math, semester one

    Recommended Ages: Middle-schoolers

    Recommended Number of Credits: ​5- (equivalent to one semester)

  • 1. Number Properties

    1.1 Order of Operations

    1.2 Commutative & Associative Properties

    1.3 The Distributive Property

    1.4 Zero & Equality Properties

    2. Negative Numbers

    2.1 Representing Negative Numbers on a Number Line

    2.2 Absolute Value

    2.3 Adding & Subtracting Negative Numbers

    2.4 Multiplying & Dividing Negative Numbers

    3. Fractions

    3.1 Reducing Fractions

    3.2 Changing Improper Fractions to Mixed Numbers

    3.3 Changing Mixed Numbers to Improper Fractions

    3.4 Adding & Subtracting Fractions

    3.5 Adding Mixed Numbers

    3.6 Subtracting Mixed Numbers

    3.7 Multiplying Fractions

    3.8 Multiplying Fractions & Mixed Numbers

    3.9 Dividing Fractions

    3.10 Dividing Mixed Numbers

    4. Decimals

    4.1 Place Value & Rounding

    4.2 Changing Fractions to Decimals

    4.3 Changing Decimals to Fractions

    4.4 Comparing and Ordering Decimals

    4.5 Adding & Subtracting Decimals

    4.6 Multiplying Decimals

    4.7 Dividing Decimals

    5. Percent

    5.1 Understanding Percent

    5.2 Percent & Fractions

    5.3 Percent & Decimals

    5.4 Multiplying Percent & Fractions

    5.5 Simple Interest

    5.6 Percent Increase & Decrease

    5.7 Tax & Tips

    6. Ratios & Proportions

    6.1 Ratios

    6.2 Proportions & Cross Multiplying

    6.3 Rates

    6.4 Similar Figures

    6.5 Scale Drawings

    7. The Coordinate Plane

    7.1 Graphing Points in an XY Coordinate Plane

    7.2 Graphing Linear Relationships

    7.3 Unit Rate as Slope

    7.4 Y=mx+b

  • 7th grade math, semester two

    Recommended Ages: Middle-schoolers

    Recommended Number of Credits: ​5- (equivalent to one semester)

  • 1. Exponents, Roots & Scientific Notation

    1.1 Exponents

    1.2 Negative Exponents

    1.3 Multiplying Exponents

    1.4 Dividing Exponents

    1.5 Square Roots

    1.6 Scientific Notation

    2. Equations & Inequalities

    2.1 Algebraic Expressions

    2.2 Understanding Inequalities

    2.3 Solving Equations by Addition & Subtraction

    2.4 Solving Inequalities by Addition & Subtraction

    2.5 Solving Equations by Multiplication & Division

    2.6 Solving Inequalities by Multiplication & Division

    3. Converting Units

    3.1 Converting Units of Length

    3.2 Converting Units of Liquid Volume

    3.3 Converting Units of Temperature

    3.4 Converting Rates

    3.5 Converting Currencies (Money)

    4. Basic Statistics & Probability

    4.1 Measures of Central Tendency

    4.2 Mean Absolute Deviation

    4.3 Tree Diagrams

    4.4 Sampling

    4.5 Calculating Probabilities

    4.6 Probability Models

    4.7 Probability of Compound Events

    5. Basic Geometry Concepts

    5.1 Points, Lines, & Planes

    5.2 Line Segments & Rays

    5.3 Measuring Angles

    5.4 Angle Relationships

    5.5 Naming Triangles

    5.6 Naming Quadrilaterals

    5.7 Naming Polygons

    5.8 Circles

    6. Surface Area

    6.1 Surface Area of Rectangular Prisms

    6.2 Surface Area of Triangular Prisms

    6.3 Surface Area of Cylinders

    6.4 Surface Area of Spheres

    6.5 Surface Area of Cones

    6.6 Surface Area of Pyramids

    7. Volume

    7.1 Volume of Rectangular Prisms

    7.2 Volume of Triangular Prisms

    7.3 Volume of Cylinders

    7.4 Volume of Spheres

    7.5 Volume of Cones

    7.6 Volume of Pyramids

  • 8th grade math, semester one

    Recommended Ages: Middle-schoolers

    Recommended Number of Credits: ​5- (equivalent to one semester)

  • 1. Order of Operations and Number Properties

    1.1 Order of Operations

    1.2 Commutative & Associative Properties

    1.3 Distributive Property

    1.4 Additive Inverse Property

    1.5 Multiplicative Inverse Property (Reciprocals)

    2. Fractions and Decimals

    2.1 Adding and Subtracting Fractions

    2.2 Reducing Fractions

    2.3 Multiplying Fractions

    2.4 Dividing Fractions

    2.5 Changing Fractions to Decimals

    2.6 Changing Decimals to Fractions

    2.7 Adding and Subtracting Decimals

    2.8 Multiplying Decimals

    2.9 Dividing Decimals

    3. Ratios, Proportions, and Percent

    3.1 Ratios

    3.2 Proportions & Cross Multiplying

    3.3 Rates

    3.4 Proportions and Percent

    3.5 Markups & Discounts

    3.6 Percent and Fractions

    3.7 Multiplying Percent and Fractions

    3.8 Percent and Decimals

    3.9 Simple Interest

    3.10 Compound Interest

    4. Equations and Variable Expressions

    4.1 Simplifying Variable Expressions (Combining Like Terms)

    4.2 Solving One-Step Equations

    4.3 Solving 2 Step Equations

    4.4 Solving Equations with Variables on Both Sides of the Equal Sign

    4.5 Equations with Infinite or no Solutions

    4.6 Distributive Property Equations

    4.7 Solving Equations with Fractions

    4.8 Diamond Problems

    5. Function Tables and Graphing

    5.1 Plotting Ordered Pairs

    5.2 Function Tables

    5.3 Slopes of Lines

    5.4 y=mx+b

    ​5.5 Scatterplots

    6. Systems of Equations

    6.1 Multivariable Equations

    6.2 Solving Systems of Equations - Graphing Method

    6.3 Solving Systems of Equations - Substitution Method

    6.4 Solving Systems of Equations - Addition Method

  • 8th grade math, semester two

    Recommended Ages: Middle-schoolers

    Recommended Number of Credits: ​5- (equivalent to one semester)

  • 1. Transformations of Graphs

    1.1 Translation

    1.2 Rotations

    1.3 Reflections

    1.4 Dilations

    2. Understanding Geometric Figures

    2.1 Naming Triangles

    2.2 Right Triangles and Pythagorean Theorem

    2.3 Identifying Quadrilaterals

    2.4 Identifying Polygons

    2.5 Circles

    3. Similarity

    3.1 Corresponding Sides

    3.2 Cross Multiplying

    3.3 Solving Problems with Similar Shpaes

    3.4 Similar Triangles: AA

    3.5 Similar Triangles: SSS

    3.6 Similar Triangles: SAS

    4. Angles and the Pythagorean Theorem

    4.1 Types of Angle Pairs: Supplementary, Complementary, Adjacent, Vertical

    4.2 Parallel Lines and Transversals

    4.3 Finding Missing Angles in Triangles

    4.4 Exterior Angles in Triangles

    4.5 Determining Triangle type by Side Length (obtuse, acute, right)

    4.6 The Pythagorean Theorem & Simplifying Square Roots

    4.7 Irrational vs. Rational Numbers

    5. Surface Area and Volume of Solid Figures

    5.1 Surface Area of a Cylinder

    5.2 Volume of a Cylinder

    5.3 Surface Area of a Sphere

    5.4 Volume of a Sphere

    5.5 Surface Area of a Cone

    5.6 Volume of a Cone

    5.7 Surface Area of a Pyramid

    5.8 Volume of Pyramids

    6. Exponents and Functions

    6.1 Linear and Exponential Growth

    6.2 Exponents

    6.3 Scientific Notation

    6.4 Multiplying and Dividing Exponents

    6.5 Negative Exponents

    6.6 Operations with Scientific Notation

    6.7 Identifying Functions in Tables and Graphs