Algebra 2

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CLI: Algebra 2
Software Table of Contents: Algebra 2
Unit 1 – Linear Models and Four Quadrant Graphs
Sections:
Sections:
1 – Modeling area as product of monomial and
binomial
2 – Modeling area as product of two binomials
3 – Maximizing Area
1 – Graphing with Positive Integer Rates of Change
2 – Graphing with Positive Fractional Rates of
Change
3 – Graphing with Negative Rates of Change
Unit 14 – Linear and Quadratic Transformations
Sections:
Unit 2 – Linear Models in General Form
Sections:
1
2
3
4
5
1 – Modeling with Linear Inequalities
2 – Modeling linear equations in general form
Unit 3 – Graphs of Linear Equations in Two Variables
Sections:
1 – Using a Factor Table to Multiply Binomials
2 – Multiplying Binomials
3 – Factoring Trinomials with Positive Constants
and Coefficients of One
4 – Factoring Trinomials with Negative Constants
and Coefficients of One
5 – Factoring Trinomials with Positive Constants
and Coefficients Other than One
6 – Factoring Trinomials with Negative Constants
and Coefficients Other than One
7 – Factoring using Difference of Squares
8 – Factoring Quadratic Expressions
Unit 4 – Absolute Value Equations and Inequalities
Sections:
1 – Solving Simple Absolute Value Equations
2 – Solving Absolute Value Equations
3 – Solving Simple Absolute Value Inequalities
4 – Solving Simple Absolute Value Inequalities with
Non-Standard Solutions
5 – Solving Absolute Value Inequalities
Unit 5 – Relations and Functions
Sections:
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–
–
–
Recognizing Non-Numeric Functions
Recognizing Numerical Functions
Recognizing Graphs of Functions
Classifying Functions and Relations
Unit 16 – Quadratic Equation Solving using Factoring
Section:
1 – Solving Quadratic Equations by Factoring
Unit 17 – Forms of Quadratics
Sections:
Unit 6 – Linear Function Operations and Composition
Sections:
1
2
3
4
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–
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Shifting vertically
Reflecting and dilating using graphs
Shifting horizontally
Transformations using tables of values
Using Multiple Transformations
Unit 15 – Quadratic Expression Factoring
Sections:
1 – Graphing Linear Equation Using a Given Method
2 – Graphing Linear Equation Using a Chosen
Method
1
2
3
4
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–
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–
1 – Converting Quadratics to General Form
2 – Converting Quadratics to Factored Form
3 – Converting Quadratics to Vertex Form
Evaluating Linear Functions
Adding and Subtracting Linear Functions
Modeling with Linear Function Composition
Composing Linear Functions
Unit 18 – Graphs and Equations of Quadratic Functions
Sections:
Unit 7 – Graphs of Functions
Section:
1 – Identifying Key Characteristics of a Parabola
2 – Transforming Quadratic Functions in Vertex
Form
3 – Sketching the Graph of a Quadratic Function
using Vertex Form
4 – Sketching the Graph of a Quadratic Function
using Factored Form
5 – Writing Quadratic Equations using Vertex
6 – Writing Quadratic Equations using X-intercepts
7 – Writing Quadratic Equations
1 – Identifying Key Characteristics of Graphs of
Functions
Unit 8 – Inverses of Functions
Sections:
1 – Sketching Graphs of Inverses
2 – Recognizing Graphs of Inverses
3 – Calculating Inverses of Linear Functions
Unit 9 – Systems of Linear Equations Modeling B
Sections:
Unit 19 – Quadratic Equation Solving
Section:
1 – Modeling equations with same sign slopes
2 – Modeling equations with opposite sign slopes
1 – Solving Quadratic Equations
Unit 10 – Systems of Linear Equations
Sections:
Unit 20 – Quadratic Models in General Form
Sections:
1 – Solving Simple Systems of Linear Equations
2 – Solving Systems of Linear Equations
1
2
3
4
Unit 11 – Graphs of Linear Inequalities in Two Variables
Section:
1 – Graphing Linear Inequalities in Two Variables
–
–
–
–
Using regression models
Modeling projectile motion from ground
Modeling projectile motion from above ground
Modeling projectile motion
Unit 21 – Rational and Irrational Numbers
Sections:
Unit 12 – Systems of Linear Inequalities
Section:
1 – Creating Number Line Models
2 – Ordering Rational and Irrational Numbers
1 – Systems of Linear Inequalities
Unit 13 – Quadratic Models in Factored Form
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CLI: Algebra 2
Unit 22 – Simplification and Operations with Radicals
Sections:
1
2
3
4
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–
–
–
Sections:
1
2
3
4
5
Simplifying Radicals
Adding and Subtracting radicals
Multiplying Radicals
Dividing Radicals
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–
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–
–
–
Simplifying Radicals with Negative Radicands
Simplifying Powers of i
Adding and Subtracting Complex Numbers
Multiplying Complex Numbers
Multiplying Complex Conjugates
Dividing Complex Numbers
1 – Solving base 10 equations (No Type In)
2 – Solving base 10 equations (Type In)
3 – Solving base e equations (No Type In)
4 – Solving base e equations (Type In)
5 – Solving any base equations (No Type In)
6 – Solving any base equations (Type In)
7 – Solving appreciation and depreciation
equations (No Type In)
8 – Solving appreciation and depreciation
equations (Type In)
Unit 24 – Graphs of Polynomial Functions
Sections:
1 – Classifying Polynomial Functions
2 – Identifying Key Characteristics of Polynomial
Functions
Unit 33 – Rational Models as Ratios
Section:
Unit 25 – Polynomial Operations
Sections:
1
2
3
4
5
–
–
–
–
–
1 – Modeling Ratios as Rational Functions
Adding polynomials
Adding polynomials with higher orders
Subtracting polynomials
Using a Factor Table to Multiply Polynomials
Multiplying Polynomials
Unit 34 – Rational Expressions
Sections:
1 – Simplifying rational expressions
2 – Multiplying and dividing rational expressions
3 – Adding and subtracting rational expressions
Unit 26 – Like Terms and Order of Operations
Sections:
1
2
3
4
–
–
–
–
Combining Like Terms
Combining Like Terms with Multiple Variables
Simplifying Variable Expressions (No Type In)
Simplifying Variable Expressions (Type In)
Unit 27 – Cubic Models
Sections:
1
2
3
4
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–
–
–
Shifting vertically
Reflecting and dilating using graphs
Shifting horizontally
Transforming using tables of values
Using Multiple Transformations
Unit 32 – Logarithmic and Exponential Equations
Sections:
Unit 23 – Operations with Complex Numbers
1
2
3
4
5
6
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–
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–
Unit 35 – Rational Equations
Sections:
Modeling Volume of Cylinders
Modeling Volume of Closed Prisms
Modeling Volume of Open Prisms
Using Given Cubic Models
1 – Solving Rational Equations that Result in Linear
Equations
2 – Solving Rational Equations that Result in
Quadratic Equations
3 – Solving Rational Equations with Extraneous
Solutions
Unit 28 – Quadratic Equation Solving with Complex
Roots
Section:
Unit 36 – Rational Models and Independent Variable
Sections:
1 – Solving Quadratic Equations with Complex
Roots
1 – Modeling Ratios as Rational Functions
2 – Using Rational Models
Unit 29 – Properties of Exponents
Sections:
Unit 37 – Work, Mixture, and Distance Problems
Sections:
1 – Using the Product Rule
2 – Using the Quotient Rule
3 – Using the Power to a Power Rule
4 – Using the Product to a Power Rule
5 – Using the Quotient to a Power Rule
6 – Using Properties of Exponents with Whole
Number Powers
7 – Simplifying Expressions with Negative
Exponents
8 – Using Properties of Exponents with Integer
Powers
1 – Modeling with Rational Functions
2 – Modeling and Solving with Rational Functions
Unit 38 – One-Step Trigonometric Equations
Sections:
1 – Solving
2 – Solving
3 – Solving
4 – Solving
5 – Solving
Type In)
6 – Solving
(Type In)
Unit 30 – Exponential Modeling
Sections:
1 – Modeling equations with starting point of one
2 – Modeling equations with starting point other
than one
3 – Using regression models
tangent equations (No Type In)
tangent equations (Type In)
sine and cosine equations (No Type In)
sine and cosine equations (Type In)
tangent, sine, and cosine equations (No
tangent, sine, and cosine equations
Unit 39 – Right Triangles and Trigonometric Functions
Sections:
1 – Finding Side Lengths using a Given
Trigonometric Function
Unit 31 – Linear and Exponential Transformations
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CLI: Algebra 2
2 – Finding Side Lengths using One Trigonometric
Function
3 – Finding Side Lengths using Multiple
Trigonometric Functions
Sections:
1 – Finding Simple Probabilities
2 – Finding Disjoint Probabilities
3 – Finding Theoretical and Experimental
Probabilities
Unit 40 – Trigonometric Models using Radians
Sections:
Unit 45 – Independent and Dependent Probabilities
Sections:
1 – Using given trigonometric function
2 – Choosing trigonometric functions
3 – Using multiple trigonometric functions
1 – Finding the Sample Space for Independent
Events
2 – Finding the Sample Space for Dependent Events
3 – Finding the Sample Space for Independent and
Dependent Events
4 – Finding Compound Probabilities
Unit 41 – Trigonometric Transformations
Sections:
1 – Transforming sine and cosine using verbal
statements, graphs, and equations
2 – Transforming sine and cosine using tables of
values
3 – Transforming sine, cosine, and tangent using
verbal statements, graphs, and equations
4 – Transforming sine, cosine, and tangent using
tables of values
Unit 46 – Measures of Central Tendency
Sections:
1
2
3
4
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–
Finding Mean, Median, Mode, and Range
Determining Appropriate Measures
Measuring the Effects of Changing Data Sets
Finding a Data Value Given a Mean
Unit 47 – Box and Whisker Plots
Sections:
1 – Creating Box and Whisker Plots
2 – Reading Box and Whisker Plots
3 – Comparing Box and Whisker Plots
Unit 48 – Variance and Standard Deviation
Section:
Unit 42 – Multiple-Step Trigonometric Equations
Sections:
1 – Solving
In)
2 – Solving
3 – Solving
Type In)
4 – Solving
In)
1 – Computing Variance and Standard Deviation
equations with Law of Sines (No Type
Unit 49 – Linear, Quadratic, Exponential, Cubic, and
Square Root Transformations
Sections:
equations with Law of Sines (Type In)
two-step trigonometric equations (No
1 – Transforming using verbal statements, graphs,
and equations
2 – Transforming using tables of values
two-step trigonometric equations (Type
Unit 43 – Trigonometric Equations and Identities
Sections:
Unit 50 – Function Transformations
Sections:
1 – Using double angle, sum and difference
identities (No Type In)
2 – Using double angle, sum, and difference
identities (Type In)
1 – Transforming using verbal statements, graphs,
and equations
2 – Transforming using tables of values
Unit 44 – Single Event Probability
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