Math Notes for Middle and High School

Included topics:

Integers and Rational Numbers

Included skills and topics:

1- Comparing and Ordering Integers

2- Rational Numbers

3- Absolute Value

Rational & Irrational Numbers

Included skills and topics:

1- Square Roots

2- Cube Roots

3- Rewriting Rational Numbers

4- Irrational Numbers

Coordinate Plane:

Included skills and topics:

1- Plotting Coordinates

2- Reflections and Distances

3- Plotting Polygons

Circle Graphs:

Included skills and topics:

1- Reading a Circle Graph

2- Making a Circle Graph

Statistical Measures:

Included skills and topics:

1- Statistics

2- Mean

3- Measures of Center

4- Measures of Variation

5- Histograms

6- Shapes of Distribution

7- Box and Whiskers Plots

Scatter Plots and Line Graphs:

Included skills and topics:

1- Scatter Plots

2- Lines of Fit

3- Line Graphs

Percents, Discounts, and Simple Interest:

Included skills and topics:

1- Fractions, Decimals, and Percents

2- Percent Proportion

3- Percent Equation

4- Percent of Increase and Decrease

5- Discounts and Markups

6- Simple Interest

Order of Operations:

Included skills and topics:

1- Evaluating Powers

2- PEMDAS Practice Level 1

3- PEMDAS Practice Level 2

Algebraic Expressions:

Included skills and topics:

1- Algebraic Expressions

2- Adding and Subtracting Linear Expressions

3- Writing Equivalent Linear Expressions

Ratios, Proportions and Scale Factors

Included skills and topics:

1- Ratio Relationships

2- Rates and Unit Rates

3- Converting Measures

4- Proportional Relationships

5- Writing and Solving Proportions

6- Scale Drawings

7- 2D Scale Factors

Multiplying and Factoring Expressions:

Included skills and topics:

1- Multiplying Expressions

2- Factoring Expressions

Solving Equations (Variables):

Included skills and topics:

1- Solving One-Step Equations

2- Solving Two-Step Equations

3- Solving Equations with Variables on Both Sides

Angles of Polygons:

Included skills and topics:

1- Triangle Inequality Theorem

2- Unknown Angle Measures (As applicable to interior and exterior angles of triangles)

3- Angles of Triangles (interior and exterior)

4- Angles of Polygons (sum of interior)

5- Similar Triangles

Nets & Surface Area of Prisms Pyramids

Included skills and topics:

1- Area of 2D Shapes

2- Understanding 3D Solids

3- Nets of 3D Solids

4- Surface Area of Prisms

5- Surface Area of Pyramids

Writing, Solving, & Graphing Inequalities:

Included skills and topics:

1- Writing Inequalities

2- Graphing Inequalities

3- Solving Inequalities Using Addition or Subtraction

4- Solving Inequalities Using Multiplication or Division

Probability (Experimental & Theoretical):

Included skills and topics:

1- Sample Spaces of Repeated Experiments

2- Using Probability of Events

3- Experimental and Theoretical Probability

Simplifying Exponents and Powers:

Included skills and topics:

1- Exponents and Powers

2- Product of Powers Property

3- Quotient of Powers Property

Prime Factorization, GCF, LCM:

Included skills and topics:

1- Prime Factorization

2- Finding the Greatest Common Factor (and using it to simplify a fraction)

3- Finding the Least Common Denominator

Surface Area and Volume of Cylinders:

Included skills and topics:

1- Surface Area of Cylinders

2- Lateral Surface Area of Cylinders

3- Volume of Cylinders

4- “In Terms of Pi”

Area and Circumference:

Included skills and topics:

1- Circumference of a circle

2- Perimeter of a semicircle

3- Area of a circle and semicircle

Area of Polygons

Included skills and topics:

1- Area of Parallelograms

2- Area of Trapezoids

3- Decomposing Polygons

Graphing Linear Equations:

Included skills and topics:

1- Graphing Linear Equations

2- Slope of a Line

3- Graphing Proportional Relationships

4- Graphing Using Slope-Intercept Form

5- Writing Equations in Slope-Intercept Form

6- Solving Systems of Linear Equations

7- Determining Number of Solutions

Transformations:

Included skills and topics:

1- Translations

2- Rotations

3- Reflections

4- Dilations

5- Congruent vs Similar Movements

Perimeter and Area of Composite Figures:

Included skills and topics:

1- Perimeter of Composite Figures

2- Area of Composite Figures

 

 

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