Grades 9 and 10 Math

In these lessons, we will learn graphing lines on the coordinate plane, solving literal equations, compound inequalities, graphing inequalities in two variables, multiplying binomials, polynomials, factoring techniques for trinomials, solving systems of equations, algebra word problems, variation, rational expressions, rational equations, graphs & functions, circles, construction, triangle theorems & proofs, properties of polygons, transformations, and trigonometry.

They are categorized into Algebra 1, Geometry and Basic Trigonometry.

Algebra 1

Measurement

• Lessons on Measurement & Error
  Greatest Possible Error
  Percent Error
  Estimating Min & Max based on Greatest Possible Error
  
  Measurement Worksheets
  Measurement Games

Exponent

• Lessons on Exponents
  Positive, Zero and Negative Exponents
  Review Exponent Rules
  Fractional Powers
  Fractional Exponents
  Rational Exponents
  Simplifying Expressions with Exponents
  Exponent Games

Graphing Lines on the Coordinate Plane

• Lines on the Coordinate Plane
  Graphing Lines by Plotting Points
  Graphing Horizontal &Vertical Lines
  Graph Lines using the x- & and y-intercept
  Finding the Slope of a Line
  
  Standard form to slope-intercept form
  Graphing Lines by Slope Intercept Method
  Find the equation of a line using the Point Slope Form
  Connecting Tables, Graphs and Equations
  
  Equations for Parallel Lines 1
  Equations for Parallel Lines 2
  Equations for Parallel Lines 3
  
  Equations for Perpendicular Lines 1
  Equations for Perpendicular Lines 2
  Equations for Perpendicular Lines 3
  Parallel & Perpendicular Lines Equations 1
  Parallel & Perpendicular Lines Equations 2
  
  Linear Functions 1
  Linear Functions 2
  Linear Functions 3
  Graphing Linear Functions
  Applications of Linear Functions
  Linear Function Games

Solving Literal Equations

• Lessons on Literal Equations
  Solving Literal Equations 1
  Solving Literal Equations 2
  
  Literal Equations Quiz Jeopardy Style

  Solve basic equations, two-step equations, equations with variables on both sides, pot-luck mixture equations and literal equations.

  
  Solving equations with more than one variables

  Learn to solve equations with more than one variable by playing this interactive equation game.

Compound Inequalities

• Lessons on Compound Inequalities
  Solve Compound Inequalities 1
  Solve Compound Inequalities 2
  Solve Compound Inequalities 3
  
  Shooting Inequalities

  In this game, you will be presented with a compound inequality. Your job is to shoot down all segments, dots, and arrows that are not part of the solution.

Graphing Linear Inequalities in Two Variables

• Graph Linear Inequalities
  Linear Inequalities in Two Variables 1
  Linear Inequalities in Two Variables 2
  Linear Inequalities in Two Variables 3
  
  Linear Inequalities Game
  Linear Inequalities

Multiplying Binomials

• Lessons on Multiplying Binomials
  Multiply Binomials: FOIL method I
  Multiply Binomials: FOIL method II
  Multiply Binomials: FOIL method III
  
  Multiply Binomials: Smiley Face method
  Multiply Binomials: Box method
  Distributive Property & Vertical Method
  Practice Multiplying binomials

Polynomials

• Lessons on Polynomials
  Types of Polynomials
  Simplifying Polynomials
  
  Add & Subtract Polynomials 1
  Add & Subtract Polynomials 2
  Add & Subtract Polynomials 3
  
  Multiply Monomials, Binomials & Polynomials
  Multiply Polynomials 1
  Multiply Polynomials 2
  Multiply Polynomials 3
  
  Divide Monomials & Polynomials
  Polynomial Equation Word Problems
  
  Multiply Polynomials Game
  Polynomial Quiz
  Multiply Polynomial Quiz

Factoring Techniques for Trinomials & Polynomials

• Factor Trinomials & Polynomials
  Factor Polynomials Using GCF
  Factor Common Factors
  Factor Perfect Square Trinomials 1
  Factor Perfect Square Trinomials 2
  
  Factor Difference of Squares 1
  Factor Difference of Squares 2
  Factor Difference of Squares 3
  
  Factor Perfect Square & Difference of Two Squares
  Factor Sum & Difference of Two Cubes 1
  Factor Sum & Difference of Two Cubes 2
  Factor Sum & Difference of Two Cubes 3
  
  Factor Polynomials by Grouping 1
  Factor Polynomials by Grouping 2
  Factor Polynomials by Grouping 3
• Factor Simple Trinomials for a = 1
  Factor Simple Trinomials 1
  Factor Simple Trinomials 2
• Factor Trinomials for a > 1
  Factor Trinomials 1
  Factor Trinomials 2
  Factor Trinomials 3
  Factor Trinomials by Guessing
  Factor Trinomials: Completing the Square
  
  Trinomial Factoring Series 1
  Trinomial Factoring Series 2
  Factor Trinomials with Two Variables
  Factor Completely using the different factoring techniques
• Factoring Tutorials
  Monomial Greatest Common Factor
  Factor polynomials using the GCF
  Factor expressions by grouping
  Factor trinomials with a leading 1 coefficient
  
  Factor trinomials with a common factor
  Factor trinomials with a non-1 leading coefficient by grouping
  Factor perfect square trinomials
  Factor difference of squares
  
  Factor Sum of Cubes
  Factor the Difference of Cubes
  Solve factored equations
  Solve quadratics by factoring
  Applications Problem Factoring Quadratics
• Factoring: Area Model or Algebra Tiles
  Multiplication Array, Algebra Tiles, Area Model
  Area Model: Monomial & Binomial Multiplication
  
  Use Area Model for Factoring
  Use Area Model to Factor Trinomials
  Area Model to Factor Difference of Squares
• Factor Trinomials or Quadratic Equations Worksheets
  Factor Binomials by Difference of Squares
  Factor Perfect Square Trinomials
  
  Factor Trinomials or Quadratic Equations
  Factor Different Types of Trinomials
  Factor Different Types of Trinomials
  
  Solve Trinomials using Quadratic Formula
  Find Discriminants of Quadratic Polynomials

Solving Systems of Equations

• Lessons to Solve Systems of Equations
  Solve Systems of Equations: Substitution 1
  Solve Systems of Equations: Substitution 2
  Solve Systems of Equations: Substitution 3
  
  Solve Systems of Equations by Addition or Elimination 1
  Solve Systems of Equations by Addition or Elimination 2
  Solve Systems of Equations by Addition or Elimination 3
  
  Solve Systems of Equations Graphically 1
  Solve Systems of Equations Graphically 2
  Solve Systems of Equations Graphically 3
  Solve Systems of Equations: Three Methods
  Solve Systems of Equations with Fractions or Decimals

Algebra Word Problems

• Solve Algebra Word Problems
  Age Word Problems 1
  Age Word Problems 2
  Angle Word Problems
  
  Area Word Problems
  Area of Rectangle Word Problems
  Area of Triangle Word Problems
  Area of Parallelogram Word Problems
  
  Coin Word Problems 1
  Coin Word Problems 2
  Consecutive Integer Word Problems
  Consecutive Even & Odd Integer Word Problems
  
  Compound Interest Word Problems 1
  Compound Interest Word Problems 2
  Digits Word Problems
  Geometry Word Problems
  Geometry Word Problems: Quadratic Equations
  
  Integer Word Problems 1
  Integer Word Problems 2
  Interest Word Problems
  Investment Word Problems
  
  Mixture Algebra Word Problems 1
  Mixture Algebra Word Problems 2
  Mixture Algebra Word Problems 3
  Motion Word Problems
  
  One Variable Word Problems
  Percent Word Problems
  Perimeter Word Problems 1
  Perimeter Word Problems 2
  Perimeter Word Problems 3
  
  Proportion Word Problems
  Pythagorean Theorem Word Problems
  Quadratic Equations Word Problems
  
  Ratio Word Problems
  Rate, Time, Distance Problems 1
  Rate, Time, Distance Problems 2
  Rate, Time, Distance Problems 3
  
  Simple Interest Word Problems
  System of Equations Word Problems
  Trigonometry Word Problems
  Two-Variable Word Problems
  Variation Word Problems
  
  Volume Word Problems
  Wind and Current Problems
  Work Algebra Word Problems 1
  Work Algebra Word Problems 2

Variation

• Lessons on Variation
  Direct Variation 1
  Direct Variation 2
  Direct Variation 3
  Direct Variation 4
  
  Inverse Variation 1
  Inverse Variation 2
  Direct and Inverse Variation
  Joint or Combined Variation

Rational Expressions

• Lessons on Rational Expressions
  When is a Rational Expression Undefined or Zero?
  Simplifying Rational Expressions 1
  Simplifying Rational Expressions 2
  Simplifying Rational Expressions 3
  Simplifying Rational Expressions 4
  
  Adding Rational Expressions 1
  Adding Rational Expressions 2
  Subtracting Rational Expressions 1
  Subtracting Rational Expressions 2
  Add &Subtract Rational Expressions
  
  Multiplying Rational Expressions 1
  Multiplying Rational Expressions 2
  Multiplying Rational Expressions 3
  
  Dividing Rational Expressions 1
  Dividing Rational Expressions 2
  Multiply & Divide Rational Expressions 1
  Multiply and Divide Rational Expressions 2

Solving Rational Equations

• Lessons on Rational Equations
  Solving Rational Equations
  Solving Rational Equations 2
  Solving Rational Equations 3
  Solving Rational Equations 4

Graphs and Functions

• Lessons on Graphs & Functions
  Plotting Points on a Graph
  Exponential Functions
  
  Relations and Functions 1
  Relations and Functions 2
  Relations and Functions 3
  Relations and Functions 4
  
  Function Notation 1
  Function Notation 2
  Domain and Range 1
  Domain and Range 2
  Domain and Range 3

Algebra Worksheets

• Solve Equations Worksheets
  Solve 1-Step Equations (dynamic)
  Solve 2-Step Equations
  Solve Equations: Combining Like Terms
  
  Solve Equations: Variable on Both Sides
  Solve Equations: Distributive Property
  Solve Multi-Step Equations
• Factor Trinomials Worksheets
  Factor Binomials by Difference of Squares
  Factor Perfect Square Trinomials
  Factor Trinomials or Quadratic Equations
  
  Factor Different Types of Trinomials 1
  Factor Different Types of Trinomials 2
  Solve Trinomials using Quadratic Formula
  Finding Discriminants of Quadratic Polynomials
• System of Equations Worksheets
  Solve System of Equations: Substitution
  Solve System of Equations: Addition
  Solve System of Equations: Subtraction
  Solve System of Equations: Addition or Subtraction
  Solving by Multiplication, then Addition or Subtraction

Geometry

• Distance & Midpoint Formulas
  Review Distance Formula
  Midpoint Formula 1
  Midpoint Formula 2
• Lesson on Circles
  Equation of Circle 1
  Equation of Circle 2
  Equation of Circle 3
  
  Chords and Secants
  Tangents and Circles
  Central Angles and Arcs 1
  Central Angles and Arcs 2
  
  Inscribed Angles 1
  Inscribed Angles 2
  Angles in Semi-Circles
  Cyclic Quadrilaterals
• Lessons on Construction
  Construct an Altitude of a Triangle
  Construct a Median of a Triangle
  Construct the Mid-segment of a Triangle
  Incenter, Orthocenter, Circumcenter, Centroid
  
  Construct the Centroid of a Triangle
  Construct the Orthocenter of a Triangle
  Construct the Circumcenter of a Triangle
  Construct the Incenter of a Triangle
  Inscribed & Circumscribed Circles
• Triangle Theorem & Proofs
  Angle Sum of a Triangle
  Isosceles Triangle Theorem
  Triangle Inequality Theorem
  Exterior Angle Theorem
  
  SSS and SAS
  AAS and ASA
  HL (Hypotenuse Leg)
  Why not SSA and AAA?
  
  Proving Triangles are Similar 1
  Proving Triangles are Similar 2
  Two Column Proofs I
  Two Column Proofs 2
  
  CPCTC
  CPCTC 2
  Geometry Proofs
  Congruent Figures
  
  Angle Bisector Theorem
  Side Splitter Theorem
  Vertical Angle Theorem

  Congruent Supplements Theorem, Congruent Complements Theorem, All Right Angles are Congruent Theorem
• Properties of Polygons Lessons
  Interior Angles of Polygons 1
  Interior Angles of Polygons 2
  Exterior Angles of Polygons
  Interior & Exterior Angles of Polygons
  
  Properties of Parallelograms
  Properties of Rectangles & Squares
  Properties of Rhombus
  Properties of Trapezoids
  
  Area of Trapezoid Word Problems
  Median & Mid-segment of a Trapezoid
  Properties of Kites
• Lessons on Transformation
  Geometry Transformation: Translation 1
  Geometry Transformation: Translation 2
  Converse of the Pythagorean Theorem
  
  Geometry Transformation: Reflection
  Geometry Transformation: Rotation
  Geometry Transformation: Dilation
  Identifying Transformations
  Composition of Transformation
  
  Line or Reflectional Symmetry
  Rotational Symmetry 1
  Rotational Symmetry 2
• Lessons on Area
  Areas of Kites & Rhombuses
  Area of Regular Polygons 1
  Area of Regular Polygons 2
  
  Area of Sectors
  Areas of Segments & Annulus
  Areas between Circles & Squares
  Surface Area of Combined Solids

Basic Trigonometry

• Lessons on Trigonometry
  Finding Sine of an Angle
  Finding Cosine of an Angle
  Finding Tangent of an Angle
  
  Use the Trigonometry Formula: SOHCAHTOA 1
  Use the Trigonometry Formula: SOHCAHTOA 2
  
  Trig Ratios: Sine, Cosine, Tangent
  Trig Functions: Sine, Cosine, Tangent
  Trig Functions: Sin, Cos, Tan, Sec, Csc, Cot
  Trig Ratios of Special Angles: 0, 30, 45, 60, 90
  
  Find Length of Side using Trigonometry 1
  Find Length of Side using Trigonometry 2
  Find Unknown Sides of Right Angles
  Find Height of Object using Trigonometry
  Find Angle Measure using Trigonometry
  
  Inverse Trigonometry 1
  Inverse Trigonometry 2
  Solve Triangles using Trigonometry
  
  Trigonometry Problems 1
  Trigonometry Problems 2
  Trigonometry Word Problems
  
  Angles of Elevation &: Depression 1
  Angles of Elevation &: Depression 2
  Area of a Triangle
  
  Law of Sines 1
  Law of Sines 2
  Law of Sines: Ambiguous Case
  
  Law of Cosines 1
  Law of Cosines 2
  Proof of the Laws of Sines & Cosines
• Trigonometry Worksheets
  Trigonometry 1: sin, cos, tan
  Trigonometry 2: sin, cos, tan
  Trigonometry: using a calculator
  
  Inverse Trigonometry: using a calculator
  Trigonometry: Find the unknown side
  Trigonometry: Find the unknown angle
  
  Using Sine (dynamic)
  Using Cosine (dynamic)
  Using Tangent (dynamic)
  Sine, Cosine or Tangent (dynamic)
  
  Trigonometry Applications & Problems
  Law of Sines or Sine Rule
  Law of Cosines or Cosine Rule

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