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

Exponent

• Lessons and Games
• 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

• Lessons and Games
• Graphing Lines by Plotting Points
• Graphing Horizontal and Vertical Lines
• Graphing Lines using the x-intercept and y-intercept
• Finding the Slope
  of a Line
• Convert 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 I
• Equations for
  Parallel Lines II
• Equations for
  Parallel Lines III
• Equations for Perpendicular Lines I
• Equations for Perpendicular Lines II
• Equations for Perpendicular Lines III
• Equations for Parallel and Perpendicular Lines I
• Equations for Parallel and Perpendicular Lines II
• Linear Functions
  I
• Linear Functions
  II
• Linear Functions
  III
• Graphing Linear
  Functions
• Applications of
  Linear Functions
• Linear Function
  Games

Solving Literal Equations

• Lessons and Games
• Solving Literal Equations I
• Solving Literal Equations II

• 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 and Games
• Solving Compound
  Inequalities I
• Solving Compound
  Inequalities II
• Solving Compound
  Inequalities III
• 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

• Lessons and Games
• Graphing Linear Inequalities in Two Variables I
• Graphing Linear Inequalities in Two Variables II
• Graphing Linear Inequalities in Two Variables III
• Linear Inequalities
  Game
• Linear
  Inequalities

Multiplying Binomials

• Lessons and Games
• Multiplying Binomials using the FOIL method I
• Multiplying Binomials using the FOIL method II
• Multiplying Binomials using the FOIL method III
• Multiplying Binomials using FOIL or Smiley Face method
• Multiplying Binomials using the Box method
• Distributive Property and Vertical Method
• Practice Multiplying
  binomials

Polynomials

• Lessons, Games and Quizzes
• Types of
  Polynomials
• Simplifying
  Polynomials
• Adding and Subtracting Polynomials I
• Adding and Subtracting Polynomials II
• Adding and Subtracting Polynomials III
• Multiply Monomials, Binomials and Polynomials
Multiplying
Polynomials I
• Multiplying
  Polynomials II
• Multiplying
  Polynomials III
• Dividing Monomials and Polynomials
• Polynomial Equation Word Problem
• Multiplying
  Polynomials Game
• Polynomial
  Quiz
• Multiplying Polynomial
  Quiz

Factoring Techniques for Trinomials and Polynomials

• Factoring Polynomials
  Using GCF
• Factoring Common
  Factors
• Factor Perfect Square Trinomials I
• Factor Perfect Square Trinomials II
• Factor Difference of
  Squares I
• Factor Difference of
  Squares II
• Factor Difference of
  Squares III
• Factor Perfect Square and Difference of Two Squares
• Factor Sum and Difference of Two Cubes I
• Factor Sum and Difference of Two Cubes II
• Factor Sum and Difference of Two Cubes III
• Factor Polynomials by Grouping I
• Factor Polynomials by Grouping II
• Factor Polynomials by Grouping III

• Factor Simple Trinomials for a = 1
• Factor Simple Trinomials I
• Factor Simple Trinomials II

• Factor Simple Trinomials for a > 1
• Factor Trinomials
  I
• Factor Trinomials
  II
• Factor Trinomials
  III
• Factor Trinomials by
  Guessing
• Factor Trinomials by Completing the Square
• Trinomial Factoring Series I by Dr Robert
• Trinomial Factoring Series II by Dr Robert
• 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
Factoring trinomials with a leading 1 coefficient
Factoring trinomials with a common factor
Factoring trinomials with a non-1 leading coefficient by grouping
Factoring perfect square trinomials
Factoring difference of squares
Factoring Sum of Cubes
Factoring the Difference of Cubes
Solving factored equations
Solving quadratics by factoring
Applications Problem Factoring Quadratics

Using the Array Model or Algebra Tiles to illustrate Factoring

• Multiplication Array, Algebra Tiles, Area Model
• Area Model for Monomial and Binomial Multiplication
• Using Area Model to illustrate Factoring
• Using Area Model to Factor Trinomials
• Area Model to Factor Difference of Squares

Factoring Trinomials or Quadratic Equations Worksheets

• Factoring Binomials by Difference of Squares
• Factoring Perfect Square Trinomials
• Factoring Trinomials or Quadratic Equations
• Factoring Different Types of Trinomials
• Factoring Different Types of Trinomials
• Solve Trinomials using Quadratic Formula
• Finding Discriminants of Quadratic Polynomials

Solving Systems of Equations

• Lessons, examples, solutions
• Solving Systems of Equations by Substitution I
• Solving Systems of Equations by Substitution II
• Solving Systems of Equations by Substitution III
• Solving Systems of Equations by Addition or Elimination I
• Solving Systems of Equations by Addition or Elimination II
• Solving Systems of Equations by Addition or Elimination III
• Solving Systems of Equations Graphically I
• Solving Systems of Equations Graphically II
• Solving Systems of Equations Graphically III
• Solving Systems of Equations - Three Methods
• Solving Systems of Equations with Fractions or Decimals

Algebra Word Problems

• Lessons, examples, solutions
• Age Word Problems
  I
• Age Word Problems
  II
• Angle Word
  Problems
• Area Word
  Problems
• Area of Rectangle
  Word Problems
• Area of Triangle
  Word Problems
• Area of Parallelogram
  Word Problems
• Coin Word
  Problems I
• Coin Word
  Problems II
• Consecutive Integer Word Problems
• Consecutive Even and Odd Integer Word Problems
• Compound Interest Word Problems I
• Compound Interest Word Problems II
• Digits Word
  Problems
• Geometry Word
  Problems
• Geometry Word Problems using Quadratic Equations
• Integer Word
  Problems I
• Integer Word
  Problems II
• Interest Word
  Problems
• Investment Word
  Problems
• Mixture Algebra Word
  Problems I
• Mixture Algebra Word
  Problems II
• Mixture Algebra Word
  Problems III
• Motion Word
  Problems
• One Variable Word
  Problems
• Percent Word
  Problems
• Perimeter Word
  Problems I
• Perimeter Word
  Problems II
• Perimeter Word
  Problems III
• Proportion Word
  Problems
• Pythagorean Theorem Word Problems
• Quadratic Equations Word Problems
• Ratio Word
  Problems
• Rate, Time, Distance
  Problems I
• Rate, Time, Distance Problems II
• Rate, Time, Distance Problems III
• 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 I
• Work Algebra
  Word Problems II

Variation

• Lessons, examples, solutions
• Direct Variation I
• Direct Variation II
• Direct Variation III
• Direct Variation IV
• Inverse Variation I
• Inverse Variation II
• Direct and Inverse Variation
• Joint or Combined Variation

Rational Expressions Videos

• When is a Rational Expression Undefined or Zero?
• Simplifying Rational Expressions I
• Simplifying Rational Expressions II
• Simplifying Rational Expressions III
• Simplifying Rational Expressions IV
• Adding Rational
  Expressions I
• Adding Rational
  Expressions II
• Subtracting Rational Expressions I
• Subtracting Rational Expressions II
• Adding and Subtracting Rational Expressions
• Multiplying Rational Expressions I
• Multiplying Rational Expressions II
• Multiplying Rational Expressions III
• Dividing Rational
  Expressions I
• Dividing Rational
  Expressions II
• Multiplying and Dividing Rational Expressions I
• Multiplying and Dividing Rational Expressions II

Solving Rational Equations Videos

• Solving Rational Equations I
• Solving Rational Equations II
• Solving Rational Equations III
• Solving Rational Equations IV

Graphs and Functions Videos

• Plotting Points on a Graph
• Exponential Functions
• Relations and Functions I
• Relations and Functions II
• Relations and Functions III
• Relations and Functions IV
• Function Notation I
• Function Notation II
• Domain and Range I
• Domain and Range II
• Domain and Range III

Algebra Worksheets

• Solving Equations Worksheets
• Solving One-Step Equations - dynamically generated
• Solving Two-Step
  Equations
• Solving Equations by Combining Like Terms
• Solving Equations with the Variable on Both Sides
• Solving Equations by Distributive Property
• Solving Multi-Step
  Equations

• Factoring Trinomials or Quadratic Equations
• Factoring Binomials by Difference of Squares
• Factoring Perfect Square Trinomials
• Factoring Trinomials or Quadratic Equations
• Factoring Different Types of Trinomials (I)
• Factoring Different Types of Trinomials (II)
• Solve Trinomials using Quadratic Formula
• Finding Discriminants of Quadratic Polynomials
• Solving System of Equations by Substitution
• Solving System of Equations by Addition
• Solving System of Equations by Subtraction
• Solving System of Equations by Addition or Subtraction
• Solving by Multiplication, then Addition or Subtraction

• Algebra Games and Activities

Geometry

• Review Distance Formula
• Midpoint Formula I
• Midpoint Formula II

• Videos: Circles
• Equation of Circle I
• Equation of Circle II
• Equation of Circle III
• Chords and Secants
• Tangents and Circles
• Central Angles and Arcs I
• Central Angles and Arcs II
• Inscribed Angles I
• Inscribed Angles II
• Angles in Semi-Circles
• Cyclic Quadrilaterals

Construction Lessons, examples, solutions

• Constructing an Altitude of a Triangle
• Constructing a Median of a Triangle
• Constructing the Mid-segment of a Triangle
• Incenter, Orthocenter, Circumcenter, Centroid
• Constructing the Centroid of a Triangle
• Constructing the Orthocenter of a Triangle
• Constructing the Circumcenter of a Triangle
• Constructing the Incenter of a Triangle
• Inscribed and Circumscribed Circles

Triangle Theorems and Proofs Videos

• 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 I
• Proving Triangles are Similar II
• Two Column Proofs I
• Two Column Proofs II
• CPCTC
• CPCTC II
• 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 I
• Interior Angles of
  Polygons II
• Exterior Angles of
  Polygons
• Interior and Exterior Angles of Polygons
• Properties of
  Parallelograms
• Properties of Rectangles and Squares
• Properties of
  Rhombus
• Properties of
  Trapezoids
• Area of Trapezoid Word Problems
• Median and Mid-segment of a Trapezoid
• Properties of
  Kites

Transformation Lessons, examples, solutions

• Geometry Transformation - Translation I
• Converse of the Pythagorean Theorem II
• Geometry Transformation - Translation II
• Geometry Transformation - Reflection
• Geometry Transformation - Rotation
• Geometry Transformation - Dilation
• Identifying
  Transformations
• Composition of
  Transformation
• Line Symmetry or Reflectional Symmetry
• Rotational
  Symmetry I
• Rotational
  Symmetry II

Area Lessons, examples, solutions

• Areas of Kites and
  Rhombuses
• Area of Regular
  Polygons I
• Area of Regular
  Polygons II
• Area of
  Sectors
• Areas of Segments
  and Annulus
• Areas between Circles and Squares
• Surface Area of Combined Solids

Basic Trigonometry

• Finding Sine of
  an Angle
• Finding Cosine of
  an Angle
• Finding Tangent of
  an Angle
• Using the Trigonometry Formula - SOH-CAH-TOA I
• Using the Trigonometry Formula - SOH-CAH-TOA II
• Trigonometric Ratios: Sine, Cosine, Tangent
• Trigonometric Functions: Sine, Cosine, Tangent
• Trigonometric Functions: Sin, Cos, Tan, Sec, Csc, Cot
• Trig. Ratios of Special Angles: 0, 30, 45, 60, 90
• Finding Length of Side using Trigonometry I
• Finding Length of Side using Trigonometry II
• Find Unknown Sides of Right Angles
• Find Height of Object using Trigonometry
• Finding Angle Measure using Trigonometry
• Inverse Trigonometry
  I
• Inverse Trigonometry
  II
• Solving Triangles using Trigonometry
• Trigonometry Problems
  I
• Trigonometry Problems
  II
• Trigonometry
  Word Problems
• Angles of Elevation and Depression I
• Angles of Elevation and Depression II
• Area of a
  Triangle
• Law of Sines
  I
• Law of Sines
  II
• Law of Sines
  - Ambiguous Case
• Law of Cosines
  I
• Law of Cosines
  II
• Proof of the Laws of Sines and Cosines

Trigonometry Worksheets

• Trigonometry I
  - sin, cos, tan
• Trigonometry II
  - sin, cos, tan
• Trigonometry - using a
  calculator
• Inverse Trigonometry - using a calculator
• Trigonometry - Find the unknown side
• Trigonometry - Find the unknown angle
• Using Sine - dynamically generated
• Using Cosine - dynamically generated
• Using Tangent - dynamically generated
• Using Sine, Cosine or Tangent - dynamically generated
• Trigonometry Applications & Problems
• Law of Sines or
  Sine Rule
• Law of Cosines or
  Cosine Rule

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