Math Lessons and Interactive Quizzes
 Home > Lessons Search | Updated September 6th, 2022
Description

The math lessons below can be used to assist both teachers and students, including homeschool students. Teachers can gather ideas how to deliver various skills. Students can learn new mathematics lessons to avoid taking low level courses or review known skills to prepare for tests. There are three sections:

 Clickable Images for the Table Below       = Read the Lesson       = Take the Quizmaster       = Do the Activity       = Watch the Video

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Lessons

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 Divisibility Check Fractions, Decimals, and Percents Converting Decimals, Fractions, and Percents Reducing Fractions Multiplying Fractions Dividing Fractions Adding and Subtracting Fractions Percent Word Problems Operations on Integers Adding Positive and Negative Integers Subtracting Positive and Negative Integers Multiplying Positive and Negative Integers Dividing Positive and Negative Integers Order of Operations Inequalities Solving Equations Two-Step: ( ax + b = c ) Three-Step, Type 1: ( ax + b + cx = d ) Three-Step, Type 2: ( ax + b = cx + d ) Head Start 1 Head Start 2 Absolute Value Equations Solving Literal Equations Solving the Gas Law Relation Solving Literal Equations Power Rules for Exponents Change the Base Simplifying Radical Expressions Simplifying Radical Expressions Addition and Subtraction Multiplication The Pythagorean Theorem Finding the Hypotenuse Finding a Leg Operations on Polynomials Addition Subtraction Multiplication Synthetic Division Factoring Polynomials Factoring the Greatest Common Factor Factoring a Difference of Two Squares Factoring Trinomials (when a = 1 for ax2 + bx + c) Factoring Trinomials (when a > 1 for ax2 + bx + c) Using the Quadratic Formula Graphing Lines Graphing Lines in Slope-Intercept Form Graphing Lines in Standard Form Systems of Linear Equations Addition Multiplication/Addition (Linear Combination) Substitution Rational Expressions Simplification Multiplication Division Addition Subtraction Graphing: Basic Graphing: Intermediate Graphing: Advanced Division with Zero Algebra 'Magic': Simple Algebra 'Magic': Intermediate #1 Algebra 'Magic': Intermediate #2 Characteristics of Parabolas Parabolas in Factored Form Parabolas in Vertex Form Word Problems - Beginner Level Chemistry I Distance I Mixture I Basic Work Problems Similarity Proportions 1: Simple Proportions 2: Linear Equations Proportions 3: Quadratic Equations Similar Figures Dilations The Pythagorean Theorem Finding the Hypotenuse Finding a Leg Quadrilaterals Properties of Parallelograms Properties of Rectangles Properties of All Quadrilaterals Geometry Proofs Beginner Level Proofs Moderate Level Proofs Circle Properties Circle Terminology Central Angles and Arcs Inscribed Angles and Arcs Chord-Chord Partial Lengths Relationship Chord-Chord Arcs and Angle Relationship Secant-Secant Partial Lengths Relationship Secant-Secant Arcs and Angle Relationship Two Dimensional Figures: Area Rectangles Parallelograms Triangles Trapezoids Circles Area Tour of All Figures Three Dimensional Figures: Surface Area Rectangular Prisms Cylinders Square Pyramids Cones Spheres Surface Area Tour of All Figures Three Dimensional Figures: Volume Rectangular Prisms Cylinders Square Pyramids Cones Spheres Volume Tour of All Figures Similar Figures & Solids Similar Figures: Ratios of Lengths and Areas Similar Solids: Ratios of Lengths and Volumes Calculating the Diagonal Length of a Cube Coordinate Geometry Distance Formula Midpoint Formula Slope Formula Parallel versus Perpendicular Angled Width of a Sofa Classifying Triangles Using Slope & Distance Classifying Parallelograms Classifying Parallelograms Using Slope Classifying Parallelograms Using Slope & Distance Partitioning a Segment Circles Parabolas Matrices Matrix Basics Creating a Matrix Adding Matrices Subtracting Matrices Scalar Matrix Multiplication Multiplying Matrices The Multiplicative Inverse of a Matrix The Determinant of a 2x2 Matrix The Determinant of a 3x3 Matrix Matrix Equations Partial Fraction Decomposition The Point-Slope Formula: Calculating an Equation of a Line Use the Formula Given a Point and a Slope Use the Formula Given Two Points Systems of Linear Equations Addition Multiplication/Addition (Linear Combination) Substitution Reduced Row Echelon Form Matrix Equations Three Equations and Three Unknowns Graphing Inequalities Graphing Linear Inequalities: Slope-Intercept Form Graphing Linear Inequalities: Standard Form Graphing Systems of Linear Inequalities Solving Inequalities Solving Absolute Value Inequalities Solving Quadratic Inequalities by Algebra Solving Quadratic Inequalities by Graphing Linear Programming Converting Words into Symbols Determining the Profit (Objective) Function Graphing Systems of Inequalities Finding the Feasible Region Finding the Vertices Finding the Maximum Value (Profit) Complex Numbers Graphing Addition Subtraction Powers of I Multiplication Division Simplifying Radical Expressions Modulus (Absolute Value) Solve Quadratic Equations Method: Factoring Method: Completing the Square Method: Using the Quadratic Formula Method: Graphing Solving Quadratic Equations Involving Area Solving Complicated Proportions Proportions 2: Linear Equations Proportions 3: Quadratic Equations Polynomials, Factors, and Zeros Finding Zeros and Factors, Given a Polynomial Finding a Polynomial, Given its Real Zeros Finding a Polynomial, Given its Complex Zeros Polynomial Tables Translations: From Equations to Statements Translations: From Statements to Equations End Behavior Even and Odd Degree The Rational Root Theorem Polynomial Models Picture Frame Problem Open Box Problem Flight of a Projectile Solving Radical Equations Solve Radical Equations Solve Radical Equations 2 Relations Domain and Range Inverses Functions Translations / Transformations Testing Relations for Symmetry Functions Determining Functions from Non-Functions Evaluating Functions Composite Functions Determine the Function Find the Pattern Domain and Range Finding Inverses Piecewise Functions: Beginner Level Piecewise Functions: Intermediate Level Piecewise Functions: Advanced Level Parent Functions Even and Odd Functions Parabolic Functions Exponential Functions Calculating Value Over Time Translating Exponential Functions Logarithms Graphing Logarithmic Functions Converting Between Logarithmic and Exponential Forms Expanding and Contracting Logarithmic Expressions Exponential Equations Word Problem: Bacterial Growth Word Problem: Radioactive Decay Word Problem: Human Population Growth Word Problem: Value Over Time Solving Logarithmic Equations Arithmetic Sequences and Series Calculating the nth Term in a Sequence Finding the Number of Terms in a Finite Sequence Deriving the Sum Formula for a Series Finding the Sum of a Series Geometric Sequences and Series Calculating the nth Term in a Sequence Finding the Number of Terms in a Finite Sequence Finding the Sum of a Finite Series Finding the Sum of an Infinite Series Sigma Notation Arithmetic Series Geometric Series Arithmetic, Geometric, or Neither Rational Expressions Expressions with Basic Exponents Expressions with Complex Exponents Expressions with Negative Exponents Algebra 'Magic': Advanced Conic Sections Parabolas Circles Ellipses Hyperbolas Identify the Conic Section General Form to Standard Form Word Problems - Advanced Level Chemistry II Distance II Average Velocity Mixture II Delayed Start Work Problems Unknown Rate Work Problems Relative Rates Work Problems Standardized Test Questions and Solutions Basic Counting (Fundamental Counting Principle) Clothing Problems License Plate Problems Complex Counting (Combinations & Permutations) Tickets Problems Card Deck Problems Horse Race Problems Election Problems Placement Counting (Placement Problems) Bookshelf Problems Scrambled Letters Problems Seating People Problems Town Maps and Grids Problems Probability Basics Spinner Problems Marble Bag Problems Dice Problems Expected Values The Monty Hall Problem: A Game Show Probability Binomial Theorem Expansion Term Parametric Equations Parametric Equations Statistics Frequency Tables Dice Roller: Mean and Standard Deviation Bell Curve: Standard Deviation Bell Curve: 68-95-99 Rule Confidence Intervals and Margin of Error with TI-Nspire Margin of Error to Confidence Interval Margin of Error from Confidence Interval Confidence Intervals Using a Formula Mean, Standard Deviation, and Margin of Error Trigonometry Basics Labeling Triangles The Three Main Trigonometric Functions The Other Three Trigonometric Functions Deriving The 30-60-90 Special Right Triangle Deriving The 45-45-90 Special Right Triangle Right Triangle Trigonometry Sine Problem Cosine Problem Tangent Problem Area of Regular Polygons Law of Sines Law of Sines: Ambiguous Case (SSA) Law of Sines: Find a Side Law of Sines: Find an Angle Law of Cosines Law of Cosines: Find a Side Law of Cosines: Find an Angle Area of Polygons Area of Regular Polygons Area of an Irregular Quadrilateral: SASSS Area of an Irregular Quadrilateral: SASAS Trigonometric Angles Reference Angles Degrees to Radians Radians to Degrees Trigonometric Functions of Special Angles Inverse Trigonometric Functions The Unit Circle: Ratios The Unit Circle: Angles Graphing Sine, Cosine, and Tangent Functions The Basics Sine: Amplitude and Period Cosine: Amplitude and Period Sine: Amplitude, Period, Phase Shift, Vertical Shift Cosine: Amplitude, Period, Phase Shift, Vertical Shift Tangent: Period and Phase Shift Equations of Musical Notes Tide STEM Problem Trigonometric Expressions: Simplifying/Verifying Identities Deriving The Pythagorean Trigonometric Identities Angle Formulas Sum and Difference Angle Formulas (Sine, Cosine) Sum and Difference Angle Formulas (Tangent) Double Angle Formulas (Sine, Cosine, Tangent) Half Angle Formulas (Sine, Cosine) Negative Angle Identities Negative Angle Identities Negative Angle Identity Proofs Solving Trigonometric Equations Solving Simple Trigonometric Equations Solving Trigonometric Equations by Factoring Solving Trigonometric Equations by Graphing Vectors Horizontal and Vertical Components Adding Vectors Subtracting Vectors Calculating the Magnitude from Components Calculating the Direction from Components Engineering Notation Combining Vectors: Two Forces Combining Vectors: Three Forces Unit Vectors Dot Product Calculating the Angle Between Two Vectors Projection Work: Force times a Distance Vectors: Inclined Planes Polar Coordinates and Equations Polar Coordinates and Rectangular Conversions Rectangular Equations to Polar Equations Polar Equations to Rectangular Equations Limits Limits of the Extreme Limits of Ratios of Polynomials Limits by Factoring Limits of Piecewise Functions Limits: Numerical Approach Limits by Conjugates Continuity Derivatives Derivatives: Derivation and Explanation Derivatives: Polynomials Derivatives: Radical Functions Derivatives: Deriving the Sum Rule Derivatives: Deriving the Difference Rule Derivatives: Deriving the Product Rule Derivatives: Product Rule Examples Derivatives: Deriving the Quotient Rule Derivatives: Quotient Rule Examples Derivatives: Deriving the Chain Rule Derivatives: Chain Rule Examples Derivatives: Deriving the Power Rule Deriving the Derivative of the Sine Function Deriving the Derivative of the Cosine Function Areas Approximating the Area Under a Curve Approximating the Area Under a Curve: Left Rectangles Approximating the Area Under a Curve: Right Rectangles Approximating the Area Under a Curve: Trapezoids Related Rates Ladder Problem Conical Tank Problem

Quizmasters

Try our quizmasters. MATHguide has developed numerous interactive testing and checking programs to solidify math skills. All quizmasters are marked with the clickable image above.

Quizmasters test students' abilities by:
1. generating random problems,
2. waiting for student input,
3. checking student input, and
4. instantly reporting whether or not the input is correct.

Here is a screenshot of one quizmaster.

Worksheet Generator

MATHguide offers a free worksheet generator service. Simply find the desired topic, select the number of problems, and click on the button to receive the sheet.

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