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Algebra 1: 01-Introduction to Algebra

A025 - Verbal to Algebraic Expressions
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A026 - Verbal to Algebraic Equations
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A027 - Declaring Variables
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A074- Order of Operations
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A075-Order of Operations with Substitution
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A079- Adding & Subtracting Real Numbers
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A080- Multiplying & Dividing Real Numbers
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Alg2/T CC 02 - Properties of Real Numbers
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A081-Distributive Property
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A082-Finding the Solution to an Equation
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Algebra 1: 02-Solving Equations

A016 - Solving One-Step Equations
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A017 - Solving Equations
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A083-Multi-Step Equations
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A084-Multi-Step Equations (Variable on Both Sides)
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A020 - Linear Equations
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A021 - Solving Proportions
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A062-Complex Proportions
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A085- Percents
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A086- Percent Change
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Algebra 1: 03-Solving Inequalities

A087-Graphing Inequalities
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A088-Solving Inequalities Using Addition or Subtraction
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A089- Solving Inequalities Using Multiplication & Division
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A018 - Solving Inequalities
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A071- Compound Inequalities
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A090-Solving Compound Inequalities
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A091 - Absolute Value Equations
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A092 - Absolute Value Inequalites
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Algebra 1: 04-Functions

A094- Using Graphs to Relate two Quantities
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A095- Patterns and Linear Functions
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A096- Patterns and Nonlinear Functions
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A097- Graphing a Function Rule
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A098- Writing a Function Rule
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A099- Formalizing Relations and Functions
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Algebra 1: 05-Linear Functions

A100- Slope
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A037 - Slope of the Line Given Two Points
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A038 - Equation of a Line, Given Slope and Y-Intercept
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A102-Equation of a Line (Slope-Intercept Form)
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A103- Equation of a Line (Point- Slope Form)
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A143- Equation of a Line, Given a Point and Slope
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A039 - Equation of a Line Given Point and Slope
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A104-Equation of a Line (Standard Form)
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A105-Equations of Parallel and Perpendicular Lines
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A106- Scatter Plots and Trend Lines
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A107-Graphing Absolute Value Functions
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Algebra 1: 06-Systems of Equations and Inequalities

A048 - Solving a System of Equations Graphically
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A108-Solving a System of Equations Graphically
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A051 - Solving a System of Equations Using Substitution
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A109- Solving a System of Equations with Substitution
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A050 - Solving a System of Equations Using Elimination
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A110- Solving a System of Equations using Elimination
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A111- Applications of Linear Systems (Systems of Equations)
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A055 - Word Problems: Systems of Equations
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A056 - Word Problems: System of Equations II
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A112-Graphing Linear Inequalities
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A113- Systems of Linear Inequalities
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A053 - Solving a System of Inequalities
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Algebra 1: 07-Exponents and Exponential Functions

A002- Positive Exponents
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A003 - Negative Exponents
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A004 - Multiplying Terms That Have Exponents
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A005 - Dividing Terms That Have Exponents
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A114-Graphs of Exponential Functions
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A069 - Exponential Growth
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A070- Exponential Decay
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Algebra 1: 08-Polynomials & Factoring

A011 - Adding Polynomials
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A012 - Subtracting Polynomials
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A013 - Multiplying a Polynomial by Monomial (Distributing)
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A014 - Dividing a Polynomial by a Monomial
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A015 - Factor-Out the Greatest Common Factor
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A117-Factoring GCF
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A118-Multiplying Binomials
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A119- Multiplying a Trinomial by a Binomial
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A061-Binomial Times a Trinomial
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A120- Multiplying Binomials (Special Cases)
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A033 - Factoring Quadratics
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A034 - Factoring Quadratics II
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A035 - Difference of Two Perfect Squares
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A121 - Factoring by Grouping
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Algebra 1: 09-Quadratic Functions and Equations

A041 - Evaluate Quadratic Functions
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A042 - Properties of Quadratic Equations
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A122 - Solving Quadratic Equations By Taking Square Roots
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A127 - Simplifying Rational Expressions
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A057 - Completing the Square
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A058 - Solve Equations by Completing the Square
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A124- Completing the Square
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A049 - Solve a System of Equations Graphically (Linear and Quadratic)
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A052 - Solving a System of Equations Using Substitution
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Algebra 1: 10-Radical Expressions & Functions

A045 - Pythagorean Theorem
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A009 - Simplifying Radical Expressions
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A063- Adding and Subtracting Radical Expressions
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A064- Multiplying Radical Expressions
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A065 - Dividing Radical Expressions
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A060 - Solving Equations That Have Radical Terms
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A125- Solving Radical Equations
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A126- Graphing Square Root Functions
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A046 - SOHCAHTOA
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A047-Inverse Trigonometric Functions
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Protected: Order – March 16, 2020 @ 08:13 PM


Algebra 1: 11-Rational Expressions & Functions

A127 - Simplifying Rational Expressions
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A128-Multiplying and Dividing Rational Expressions
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A129- Dividing Polynomials
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A130- Adding & Subtracting Rational Expressions
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A019 - Fractional Equations
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A131- Solving Rational Equations
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A132-Inverse Variation
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A133- Graphing Rational Functions
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Algebra 1: 12-Data Analysis & Probability

A134- Organizing Data Using Matrices
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A135- Frequency and Histograms
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A136- Measures of Central Tendency and Dispersion
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A137- Box and Whisker Plots
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A138- Samples and Surveys
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A139- Permutations and Combinations
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A140- Theoretical and Experimental Probability
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A141 - Probability of Compound Events
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I. Introduction to Algebra

Lesson: Verbal to Algebraic Expressions & Equations

Example: How do you write 5 greater than x algebraically?

Lesson: Declaring Variables

Example: Mike is 3 inches taller than Semande. If Semande is s inches tall, express Mike’s height in terms of s.

Lesson: Order of Operations

Example: Evaluate 3 - (5-8)^2

Lesson: Real Numbers (Including Rational vs. Irrational Numbers)

Lesson: Order of Operations with Substitution

Example: If x=2, what is the value of 2x^2-3x?

Lesson: Adding and Subtracting Real Numbers

Example: Evaluate 5 - (-2)

Lesson: Multiplying and Dividing Real Numbers

Example: Evaluate -3 \times 4

Lesson: Properties of Real Numbers

Example: Which property justifies the following equation: 5(x+2y)+5=5x+10y+5

Lesson: Distributive Property

Example: Simplify 3(4x-5)

Lesson: Finding the Solution to an Equation

Example: Is 7 a solution to the equation 12 = 3x - 9?

II. Solving Equations

Lesson: Solving Algebraic Equations (One-Step)

Example: Solve for x.
x+7=12

Lesson: Solving Multi-Step Equations

Example: Solve for x.
2x + 4 = 18

Lesson: Multi-Step Equations (Variable on Both Sides)

Example: Solve for x.
2x - 4 = -3x + 11

Lesson: Linear Equations

Example: Solve for y.
3y + 2x = 12

Lesson: Solving Proportions

Example: Solve for x.
\dfrac{x}{6} = \dfrac{20}{15}

Lesson: Solving Complex Proportions

Example: Solve for x.
\dfrac{x+5}{4} = \dfrac{3}{8}

Lesson: Percents

Example: What is 48% of 30?

Lesson: Percent Change

Example: What is the percent change from 50 to 72?

III. Solving Inequalities

Lesson: Graphing Inequalities

Example: Graph k < 1
Algebra 1 Lessons

Lesson: Solving Inequalities Using Addition or Subtraction

Example: Solve for x.
x - 12 > 8

Lesson: Solving Inequalities Using Multiplication or Division

Example: Solve for x.
-4x \geq 12

Lesson: Solving Inequalities

Example: Solve for x.
-7x + 19 \leq -2

Lesson: Solving Compound Inequalities

Example: Solve for x.
-3 \leq 2x -5 < 21

Lesson: Solving and Graphing Compound Inequalities

Example: Solve for x and graph.
0 \leq r + 5 < 9
Algebra 1 Lessons

Lesson: Absolute Value Equations

Example: Solve for p.
9 + |5p + 1| = 18

Lesson: Absolute Value Inequalities

Example: Solve for x.
3|5x + 1| > 12

IV. Functions

Lesson: Using Graphs to Relate Two Quantities

Example: A bird flies above ground in search of worms. This is represented in the table below.
Algebra 1 Lessons
What does A represent?

Lesson: Patterns and Linear Functions

Example: Is the following graph linear?
Algebra 1 Lessons

Example: For each set of ordered pairs, write the rule that represents the function.
(0, 3), (1, 8), (2, 13), (3, 18), (4, 23)

Lesson: Patterns and Non-Linear Functions

Example: Is the following a linear or nonlinear function?
Algebra 1 Lessons

Example: For the set of ordered pairs, write the rule that represents the function.
(0,1),(1,3),(2,9),(3,27),(4,81)

Lesson: Graphing a Function Rule

Example: Match the function with its graph.
Algebra 1 Lessons

Lesson: Writing a Function Rule

Example: Write the function rule for the table of values.
Algebra 1 Lessons

Lesson: Formalizing Relations and Functions

Example: Is the following relation shown a function?
(-2, 0.5), (0, 2.5), (4, 6.5), (5, 2.5)

V. Linear Functions

Lesson: Slope

Example: What is the slope of the line below?
Algebra 1 Lessons
Example: What is the slope of the line that passes through the points (2, 7) and (5, 12)?

Lesson: Equation of a Line

Example:

Lesson: Point Slope Form

Example:

Lesson: Finding the Equation of a Line, Given the Slope and a Point

Example:

Lesson: Standard Form of the Equations of a Line

Example:

Lesson: Finding the Equation of a Line, Given Two Points

Example:

Lesson: Equations of Parallel and Perpendicular Lines

Example:

Example:

Lesson: Scatterplots and Trendlines

Example:

Algebra 1 Lessons

Lesson: Graphing Absolute Value Functions

Example:

VI. Systems of Equations and Inequalities

Lesson: Solving a System of Equations Graphically

Example:

Lesson: Solving a System of Equations Graphically

Example:

Lesson: Solving a System of Equations Using Substitution

Example:

Lesson: Solving a System of Equations Using Substitution

Example:

Lesson: Solving a System of Equations Using Elimination

Example:

Lesson: Solving a System of Equations Using Elimination

Example:

Lesson: Applications of Linear Systems

Example:

Lesson: Word Problems – System of Equations

Example:

Lesson: Word Problems – System of Equations

Example:

Lesson: Graphing Linear Inequalities

Example:

Lesson: Graphing Linear Inequalities

Example:

Algebra 1 Lessons

Lesson: Solving a System of Linear Inequalities

Example:

VII. Exponents and Exponential Functions

Lesson: Positive Exponents

Example:

Lesson: Negative Exponents

Example:

Lesson: Multiplying & Dividing Terms that have Exponents

Example:

Lesson: Multiplying & Dividing Terms that have Exponents

Example:

Lesson: Graphs of Exponential Functions

Example:

Lesson: Exponential Growth

Example:

Lesson: Exponential Decay

Example:

VIII. Polynomials and Factoring

Lesson: Adding & Subtracting Polynomials

Example:

Lesson: Adding & Subtracting Polynomials

Example:

Lesson: Multiplying a Polynomial by a Monomial

Example:

Lesson: Dividing a Polynomial by a Monomial

Example:

Lesson: Factor Out the Greatest Common Factor

Example:

Lesson: Factor Out the Greatest Common Factor

Example:

Lesson: Multiplying Binomials

Example:

Lesson: Multiplying a Binomial by a Trinomial

Example:

Lesson: Multiplying a Trinomial by a Binomial

Example:

Lesson: Multiplying Binomials (Special Cases)

Example:

Lesson: Factoring Quadratics

Example:

Lesson: Factoring Quadratics

Example:

Lesson: Difference of Perfect Squares

Example:

Lesson: Factoring by Grouping

Example:

IX. Quadratic Functions and Equations

Lesson: Evaluating Quadratic Functions

Example:

Lesson: Properties of Quadratic Functions

Example:

Lesson: Solving Quadratic Equations by Taking Square Roots

Example:

Lesson: Solving Equations by Factoring

Example:

Lesson: Completing the Square

Example:

Lesson: Solve Equations by Completing the Square

Example:

Lesson: Vertex Form of a Quadratic Function by Completing the Square

Example:

Lesson: Solving a System of Equations Graphically (Linear & Quadratic)

Example:

Lesson: Solving a System of Equations Using Substitution (Linear & Quadratic)

Example:

X. Radical Expressions and Functions

Lesson: Pythagorean Theorem

Example:

Lesson: Simplifying Radical Expressions

Example:

Lesson: Adding and Subtracting Radical Expressions

Example:

Lesson: Multiplying Radical Expressions

Example:

Lesson: Dividing Radical Expressions

Example:

Lesson: Solving Equations That Have Radical Terms

Example:

Lesson: Solving Equations That Have Radical Terms

Example:

Lesson: Graphing Square Root Functions

Example:

Lesson: SOHCAHTOA (sine, cosine, tangent)

Example:

Lesson: Inverse Trigonometric Functions

Example:

XI. Rational Expressions and Functions

Lesson: Simplifying Rational Expressions

Example:

Lesson: Multiplying and Dividing Rational Expressions

Example:

Lesson: Dividing Polynomials

Example:

Lesson: Adding and Subtracting Rational Expressions

Example:

Lesson: Fractional Equations

Example:

Lesson: Solving Rational Equations

Example:

Lesson: Inverse Variation

Example:

Lesson: Graphing Rational Functions

Example:

XII. Data Analysis and Probability

Lesson: Matrices

Example:

Algebra 1 Lessons

Lesson: Frequency, Cumulative Frequency, & Histograms

Example:

Lesson: Measures of Central Tendency & Dispersion

Example:

Lesson: Box & Whisker Plot

Example:

Lesson: Samples and Surveys

Example:

Lesson: Permutations and Combinations

Example:

Lesson: Theoretical vs. Experimental Probability

Example:

Lesson: Probability of Compound Events

Example:

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