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: – – – – 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 – – – – 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 – – – – – 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 Page 1 CLI: Algebra 2 Unit 22 – Simplification and Operations with Radicals Sections: 1 2 3 4 – – – – Sections: 1 2 3 4 5 Simplifying Radicals Adding and Subtracting radicals Multiplying Radicals Dividing Radicals – – – – – – 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 – – – – 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 – – – – – 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 Page 2 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 – – – – 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 Page 3