MATHia Software: Algebra I Table of Contents

Transcription

1 MODULE 1: Relating Quantities and Reasoning with Equations Function Overview Linear Equations Linear Inequalities Absolute Value Equations Identifying Quantities Understanding Functions Evaluating Linear Functions Exploring Graphs of Functions Introduction to Function Families Identifying Key Characteristics of Graphs of Functions Modeling Rates of Change Modeling Linear Equations Given Two Points Modeling Linear Equations Given an Initial Point Modeling Linear Functions using Multiple Representations Comparing Linear Functions in Different Forms Graphing Inequalities Solving Linear Inequalities Graphing Compound Inequalities Solving Compound Linear Inequalities Solving Simple Absolute Value Equations Solving Absolute Value Equations Solving Simple Absolute Value Inequalities Solving Absolute Value Inequalities N.Q.A.2 F.IF.A.2 A.REI.D.10 MATHia Software Algebra I Table of Contents 1

2 MODULE 2: Linear and Exponential Relationships Systems of Linear Equations Linear Inequalities in Two Variables Sequences Exponential Functions Compare Linear and Exponential Models Linear and Exponential Transformations Rational Exponents Representing Systems of Linear Equations Solving Linear Systems Using Linear Combinations Solving Linear Systems Using Any Method Graphing Linear Inequalities in Two Variables Systems of Linear Inequalities Describing Patterns in Sequences Writing Recursive Formulas Writing Explicit Formulas Sequences and Functions Introduction to Exponential Functions Relating the Domain to Exponential Functions Using the Properties of Exponents Calculating and Interpreting Average Rate of Change Comparing Exponential Functions in Different Forms Recognizing Linear and Exponential Models Recognizing Growth and Decay Introduction to Transforming Functions Shifting Vertically Reflecting and Dilating using Graphs Shifting Horizontally Transforming using Tables of Values Using Multiple Transformations Properties of Rational Exponents Rewriting Expressions with Radical and Rational Exponents Transforming Exponential Expressions A.REI.C.6 A.REI.D.11 A.REI.C.5 A.REI.C.6 A.REI.D.12 A.REI.D.12 F.BF.A.1.a F.BF.A.1.a F.IF.B.5 F.IF.C.8.b F.IF.B.6 F.LE.A.1.a F.LE.A.1.b F.LE.A.1.c N.RN.A.1 N.RN.A.2 A.SSE.B.3.c MATHia Software Algebra I Table of Contents 2

3 MODULE 3: Descriptive Statistics Numerical Summary Statistics Lines of Best Fit Frequency and Relative Frequency Determining Appropriate Measures Measuring the Effects of Changing Data Sets Calculating Standard Deviation Using Standard Deviation to Compare Data Sets Comparing Center and Spread Interpreting Differences in Shape, Center, and Spread Estimating Lines of Best Fit Using Lines of Best Fit Interpreting Liens of Best Fit Analyzing Residuals of Lines of Best Fit Correlation and Causation Comparing Displays of Categorical Data Interpreting Relative Frequencies Recognizing Possible Associations and Trends S.ID.A.3 S.ID.A.1 S.ID.A.3 S.ID.B.6.c S.ID.B.6.a S.ID.C.7 S.ID.C.8 S.ID.B.6.b S.ID.C.9 MATHia Software Algebra I Table of Contents 3

4 MODULE 4: Quadratics Modeling Area as Product of Monomial and Binomial Quadratic Models in Factored Form Modeling Area as Product of Two Binomials Maximizing Area Modeling Projectile Motion from Ground Quadratic Models in General Form Recognizing Key Features of Projectile Motion Graphs Relating the Domain to Quadratic Functions F.IF.B.5 Shifting Vertically Reflecting and Dilating using Graphs Linear and Quadratic Transformations Shifting Horizontally Transforming using Tables of Values Using Multiple Transformations Introduction to Polynomial Arithmetic Adding Polynomials Polynomial Operations Subtracting Polynomials Using a Factor Table to Multiply Polynomials Multiplying Polynomials Using a Factor Table to Multiply Binomials Multiplying Binomials Factoring Trinomials with Coefficients of One Quadratic Expression Factoring Factoring Trinomials with Coefficients Other than One Factoring using Difference of Squares Factoring Quadratic Expressions Completing the Square A.REI.B.4.a Identifying Properties of Quadratic Functions A.REI.C.8.a MATHia Software Algebra I Table of Contents 4

5 MODULE 4: Quadratics Forms of Quadratics Quadratic Equation Solving Converting Quadratics to General Form Converting Quadratics to Factored Form Converting Quadratics to Vertex Form Sketching Quadratic Functions Comparing Quadratic Functions in Different Forms Solving Quadratic Equations Solving Quadratic Equations by Factoring Solving Quadratic Equations Using Regression Models A.SSE.B.3.a A.SSE.B.3.b A.SSE.B.3 F.IF.C.8.a A.SSE.B.3.a A.SSE.B.3.b A.REI.D.11 A.REI.B.4.b A.REI.B.4.b S.ID.B.6.a MODULE 5: Inverse Functions Function Operations Operating with Functions on the Coordinate Plane Adding and Subtracting Linear Functions F.BF.A.1.b Inverses of Functions Recognizing Graphs of Inverses F.BF.B.4 Calculating Inverses of Linear Functions F.BF.B.4 Composition of Functions Modeling with Linear Function Composition F.BF.A.1.c Composing Linear Functions F.BF.A.1.c MATHia Software Algebra I Table of Contents 5