Apex Learning Math Unit Titles

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1 Apex Learning Math Unit Titles Algebra I (traditional) Review of Introductory Algebra Measurement What is a Function? Solving Problems with Functions Graphing Data Linear Equations Systems of Linear Equations Polynomials Factoring Polynomials Intro to Data Analysis & Probability Algebra I (Common Core) Solving Basic Equations Measurement Functions Linear Equations Systems of Linear Equations Exponents & Exponential Functions Sequences & Functions Descriptive Statistics Polynomials Factoring of Polynomials Quadratic Equation & Functions Undoing Functions & Moving Them Around Geometry (traditional) Foundations of Geometry Points, Lines and Angles Triangles Right Triangles Quadrilaterals and Other Polygons Circles Coordinate Geometry Three Dimensional Solids Topics in Geometry Geometry (Common Core) Foundations of Geometry Triangles Right Triangles Trigonometry Quadrilaterals & Other Polygons Circles without Coordinates Coordinate Geometry Conic Sections Constructions & Transformations Three Dimensional Solids Applications of Probability Algebra II (traditional) Conic Sections Functions, Relations & Their Graphs Quadratic Functions Undoing Functions & Moving them Around Polynomial Functions II Rational Expressions & Equations Radica Expressions & Equations Exponents, Logarithms & Their Graphs Data Analysis & Probability Algebra II (Common Core) Expressions, Equations & Inequalities Functions & Relations Quadratic Functions Transforming Functions Polynomial Functions Rational Expressions & Functions Radical Expressions & Functions Exponential & Logarithmic Functions Statistical Analysis Trigonometry Apex Learning 2014

2 Apex Learning Math Unit Titles Math I (Common Core) Solving Basic Equations Measurement Functions Linear Equations Systems of Linear Equations Descriptive Statistics Exponents & Exponential Functions Sequences & Functions Foundations of Geometry Triangles Coordinate Geometry Constructions & Transformations Math III (Common Core) Statistical Analysis Functions Transforming Functions Polynomial Functions Rational Expressions and Functions Radical Expressions and Functions Exponential and Logarithmic Functions Right Triangles & Trigonometry Trigonometry Three Dimensional Solids Math II (Common Core) Functions Exponential Functions Polynomials Factoring of Polynomials Quadratic Equations & Functions Undoing Functions & Moving Them Around Applications of Probability Preparing for Proofs Triangles Right Triangles & Trigonometry Quadrilaterals & Other Polygons Circles without Coordinates Conic Sections Three Dimensional Solids Statistics and Probability Collecting Data Numerical Data Sets Bivariate Data Probability Probability Distributions Sampling Distribution & Confidence Intervals Precalculus Functions Quadratic Functions Polynomial & Rational Functions Exponential & Logarithmic Functions Conic Sections Introduction to Trigonometry Trigonometric Functions Working with Trigonometric Functions Trigonometric Identities Applications of Trigonometry Complex Numbers Liberal Arts Math Introduction to Review of Algebraic Concepts Functions Graphing Data Linear Equations Systems of Linear Equations Polynomials Triangles Right Triangles Quadrilaterals & Other Polygons Three Dimensional Solids Numerical Data Sets Apex Learning 2014

3 Apex Learning Math Unit Titles Mathematic of Personal Finance What is Money? Income and Budgeting Income Tax Checking and Savings Purchasing and Credit Loans and Payments Car Ownership Home Ownership Insurance and Retirement Investments Business Financial Literacy Goals and Career Planning Income and Budgeting Banking Savings and Investments Credit Consumer Purchasing and Protection Math Foundations I Math Foundations II Introduction to Integers and Operations Multiplication Fractions and Operations Division Decimals and Operations Multiplication and Division Concepts Percents, Ratios, Proportions & Rates Fractions The Language of Algebra Decimals Solving Equations with Addition & Subtraction Operations with Fractions and Decimals Solving Equations with Multiplication & Division 2 D Geometry Exponents Perimeter and Area Solving Equations with Roots & Powers 3 D Geometry Multi Step Equations Data Analysis Linear Equations Systems of Linear Equations Distance and Angles Area, Surface, Area & Volume Fundamental Math Data Analysis & Probability Basic Number Concepts Advanced Number Concepts Addition and Subtraction Multiplication and Division Fractions Operations with Fractions Decimals, Percents and Ratios Operations with Decimals Basic Concepts in Geometry Measuring Shapes Apex Learning 2014

4 Review of Introductory Algebra Integers and Operations Fractions and Decimals Exponents Variables and Solving with Addition and Subtraction Solving with Multiplication and Division Solving with Roots and Powers Solving Multistep Linear Equations Measurement Metric and Customary Units Converting Units Estimation and Scale Precision in Measurement Applications of Measure What is a Function? When One Things Depends on Another Function Notation Input Output Machines Solving Problems with Functions Functions and Tables Functions and Graphs Functions and Formulas Graphing Data The Cartesian Coordinate System Geometry with Coordinates The Distance Formula Data Analysis Linear Equations Patterns and Lines Slope Parallel and Perpendicular Lines Slope Intercept Equation of a Line Point Slope Equation of a Line Linear Inequalities Systems of Linear Equations Two Variable Systems: Graphing Two Variable Systems: Substitution Two Variable Systems: Elimination Two Variable Systems: Matrices Two Variable Systems of Inequalities Three Variable Systems of Equations Three Variable Systems: Matrices Algebra I_traditional Polynomials What is a Polynomial? Adding and Subtracting Polynomials Multiplying Binomials Multiplying Polynomials Dividing Polynomials Graphing Polynomials Factoring Polynomials Why Factor? Factoring with Tiles Factoring and Graphing Grouping Factoring x 2 +bx+c Factoring ax 2 +bx+c Special Cases Solving Quadratic Equations Completing the Square The Quadratic Formula Intro to Data Analysis & Probability What is a Statistic? Graphical Analysis of Data Numerical Analysis of Data What is Probability? Counting Principles Basic Rules of Probability

5 Algebra I CC Solving Basic Equations Sequences and Functions Types of Numbers Finding Patterns Variables and Arithmetic Sequences Solving Mathematical Sentences Geometric Sequences Some Guidance for Problem Solving Applications of Number Sequences Solving with Addition and Subtraction Descriptive Statistics Solving the Equations with Multiplication and Division Numerical Data Solving with Roots and Powers Measures Of Center Solving Multistep Linear Equations Measures of the Spread Solving Literal Equations and Formulas Box Plots Me Performance Task : with Equations Describing Distributions Two Variable Data Converting Units Polynomials Estimation and Scale What Is a Polynomial? FunPrecision in Measurement Adding and Subtracting Polynomials Multiplying Binomials When One Thing Depends on Another Dividing Polynomials Function Notation Graphing Polynomials Input Output Machines Performance Task: Pricing for Profit Domain and Range Factoring of Polynomials Functions and Tables Why Factor? Functions and Graphs Factoring with Tiles Linear and Exponential Growth Factory and Graphing Functions and Formulas Grouping LineArithmetic of Functions Factoring x 2 +bx+c Factoring ax 2 +bx+c Patterns and Lines Special Cases Slope Quadratic Equations and Functions Slope Intercept Equation of a Line Parabolas Point Slope Equation of a Line Solving Quadratic Equations Parallel and Perpendicular Lines Completing the Square Sys Linear Inequalities The Quadratic Formula Graphs of Quadratic Functions Two Variable Systems: Graphing Nonlinear Systems of Equations Two Variable Systems: Substitution Linear Quadratic and Exponential Models Two Variable Systems: Elimination Undoing Functions and Moving Them Around Two Variable Systems: Matrices Inverses ExpTwo Variable Systems of Inequalities Graphs of Inverses Parent Functions Exponents Shifting Functions Exponential Functions Stretching Functions Vertically Examples and Applications of Exponential Functions Transformation Of Parent Functions Graphs of Exponential Functions

6 Geometry_traditional Foundations of Geometry Circles Entering the World of Geometry What Is a Circle? Induction: The Search for Rules and Patterns Chords Deduction: Making a Case Arcs The Look and Language of Logic Circles and Angles Introduction to Proof Secants and Tangents Proof in Geometry circumference And Arc Length Points, Lines & Angles Area and Sectors Points Circles and Triangles Segments Circles and Polygons Rays, Lines, and Angles Coordinate Geometry More about Angles The Cartesian Coordinate System Congruent Segments and Angles Midpoint Formula Planes and the Space of Geometry The Distance Formula What It Is like to Live in a Plane Coordinates and Data Intersecting Lines Patterns and Lines Parallel Lines Slope Solving the Mirror Problem The Rescue Ship Problem Triangles Parallel And Perpendicular Lines What Is a Triangle? Equations Of Lines The Angles of a Triangle Circles Congruence Three Dimensional Solids Congruence Postulates Three Dimensions Proofs of Congruence What is a Polyhedron? Similar Triangles Cylinders and Cones Ratios and Proportions Similarity Theorems Platonic Solids Surface Area medians, Altitudes, and Bisectors Spheres The Parallax Problem Similar Solids Right Triangles Topics in Geometry Area of a Triangle Constructions The Pythagorean Theorem Paper Folding Congruent Right Triangles Symmetry Similar Right Triangles Tessellations Special Right Triangles Fractals Trigonometric Ratios Locus of Points Quadrilaterals And Other Polygons Non Euclidian Geometry Polygons and Quadrilaterals Angle Sums of a Polygon Parallelograms Tests for Parallelograms Rectangles Rhombi and Squares Trapezoids Area and Perimeter of Quadrilaterals Area and Perimeter of Polygons

7 Geometry CC Foundations of Geometry Coordinate Geometry Induction: The Search for Rules and Patterns Midpoint Formula Deduction: Making a Case The Distance Formula The Look and Language of Logic Patterns and Lines Introduction to Proofs Slope Basic Postulates in Geometry Equations of Lines Planes and the Space of Geometry Equations of Parallel and Perpendicular Intersecting Lines and Proofs Lines and Proofs Parallel Lines and Proofs Coordinate Geometry with Polygons Triangles Area of a Triangle with Coordinate What Is a Triangle? Geometry The Angles of a Triangle Area and Perimeter of Polygons with Congruence Coordinate Geometry Congruence Postulates Conic Sections Proofs of Congruence From Lines to Conic Sections Similar Triangles Geometry of Conic Sections Similarity Theorems and Proportional Reasoning Circles with Coordinates and Proofs Triangle Theorems Parabolas Medians and Altitudes Locus of Points Bisectors and Mid Segments Constructions and Transformations Performance Task: The Parallax Problem Constructions Right Triangles Paper Folding The Pythagorean Theorem Impossible Problems from Antiquity Congruent Right Triangles Transformations Similar Right Triangles Symmetry Special Right Triangles Tessellations Trigonometry Three Dimensional Solids Trigonometric Ratios Three Dimensions Law of Cosines and Proofs What is a Polyhedron? Law of Sines and Proofs Cylinders and Cones Quadrilaterals and Other Polygons Platonic Solids Angles Sums of a Polygon and Proof Surface Area Parallelograms and Proofs Volume Tests for Parallelograms Spheres Rectangles Similar Solids Rhombi and Squares Performance Task: Trapezoids Three Dimensional Solids Circles without Coordinates Application of Probability What is a Circle? What Is Probability? Chords Counting Principles Arcs Permutations and Combinations Chord and Arc Relationships Basic Rules of Probability Circles, Angles and Proofs Conditional Probability Secants, Tangents and Proofs Independence Circumference and Arc Lengths Simulations Area and Sectors Circles and Triangles Circles and Polygons

8 Algebra II_traditional Conic Sections Radical Expressions and Equations What is the Conic Section? Basics of Radicals Geometry of Conic Sections Multiplying and Dividing Radicals Circles Adding and Subtracting Radicals Ellipses Rationalizing Denominators Hyperbolas Solving Radical Equations Parabolas Rational Exponents Nonlinear Systems of Equations Complex Numbers Nonlinear Inequalities Exponents, Logarithms, & Their Graphs Functions, Relations, and Their Graphs Exponential Functions How Many Outputs? Examples and Applications of Exponential Functions Functions and Relations Graphs of Exponential Functions Domain and Range Logarithmic Functions Composition of Functions Graphs of Logarithmic Functions Solving Problems with Composition Properties Exponents of Logarithms Quadratic Functions Solving Exponential Equations Factoring x 2 +bx+c Solving Logarithmic Equations Factoring ax 2 +bx+c Sequences and Series Special Cases Finding Patterns Solving Quadratic Equations Arithmetic Sequences Completing the Square Geometric Sequences The Quadratic Formula Applications of Number Sequences Graphs of Quadratic Functions Number Series Undoing Functions and Moving Them Around Data Analysis and Probability Inverses Review of Graphical Analysis of Data Graphs of Inverses Review of Numerical Analysis of Data Shifting Functions Review of Basic Probability Stretching Functions Vertically Advanced Accounting Principles Polynomial Functions II Conditional and Compound Probability What Is a Polynomial? Data Gathering Inferential Statistics Factoring (Reviewed) Random Variables Imaginary Numbers Two Variable Data Synthetic Division Experimental Design Factoring Polynomials Completely Rational Expressions and Equations Proportions Rational Expressions Simplifying Rational Expressions Multiplying and Dividing Rational Expressions Adding and Subtracting Rational Expressions Finding the Golden Ratio Inverse Variation Rational Functions Vertical Asymptotes Graphing Rational Functions

9 Algebra II CC Expressions, Equations and Inequalities Rational Expressions and Functions (cont) Algebraic Expressions Vertical Asymptotes Solving Linear Equations Graphing Rational Functions Solving Linear Inequalities Radical Expressions and Functions Solving Absolute Value Equations and Inequalities Basics of Radicals Solving Literal Equations and Formulas Multiplying and Dividing Radicals Functions and Relations Adding and Subtracting Radicals What Is a Function? Rationalizing Denominators Graphing Functions Solving Radical Functions Linear Functions Applications of Radical Equations Linear Equations and Inequalities Rational Exponents Linear Systems Review of Complex Numbers Quadratic Functions Performance Task: Factoring x 2 +bx+c The Skid Distance Problem Factoring ax 2 +bx+c Exponential and Logarithmic Functions Special Cases Geometric Sequences Solving Quadratic Equations Exponential Functions Completing the Square Examples and Applications of The Quadratic Formula Exponential Functions Graphs of Quadratic Functions Graphs of Exponential Functions Imaginary Numbers Logarithmic Functions Nonlinear Systems of Equations Graphs of Logarithmic Functions Nonlinear Systems of Inequalities Properties of Exponents & Logarithms Transforming Functions Solving Exponential Equations Inverses Solving Logarithmic Equations Graphs of Inverses Application of Logarithms Parent Functions Statistical Analysis Shifting Functions Comparing and Analyzing Stretching Functions Vertically Function Types Transformation of Parent Functions Review of Graphical Analysis of Data Arithmetic of Functions Review of Numerical Analysis of Data Performance Task: Transforming Functions Data Gathering & Inferential Statistics Polynomial Functions Random Variables Polynomial Basics Experimental Design Polynomial Functions Evaluating Published Reports Synthetic Division Applications of Statistical Techniques Factoring Polynomials Completely Trigonometry Solving Polynomial Equations Right Triangles Graphing Polynomial Functions Angles and Radians Polynomial Identities Trigonometric Ratios and Binomial Theorem the Unit Circle Transformations of Polynomial Functions Graphs of Sine and Cosine Rational Expressions and Functions Graphs of Other Functions Proportions Simple Transformation of Sinusoids Rational Expressions General Transformations Simplifying Rational Expressions of Periodic Graphs Multiplying and Dividing Rational Expressions Identities and Proof Adding and Subtracting Rational Expressions Trigonometric Identities Inverse Variation Solving Rational Functions

10 Math I CC Solving Basic Equations Exponents and Exponential Functions Types of Numbers Exponents Variables and Exponential Functions Solving Mathematical Sentences Examples and Applications Some Guidelines for Problem Solving of Exponential Functions Solving with the Addition Instruction Graphs of Exponential Functions Solving Equations with Multiplication and Division Linear and Exponential Models Solving Inequalities with Multiplication and Division Sequences and Functions Solving with Roots and Powers Finding Patterns Solving Multistep Linear Equations Arithmetic Sequences Solving Literal Equations and Formulas Geometric Sequences Performance Task: with Equations Applications of Number Sequences Measurement Foundations of Geometry Converting Units Induction: the Search for Rules and Patterns Estimation and Scale Deduction: Making the Case Precision in Measurement The Look and Language of Logic Functions Introduction to Proofs When the One Thing Depends on Another Basic Postulates in Geometry Function Notation Planes and the Space of Geometry Input Output Machines Intersecting Lines and Proofs Domain and Range Parallel Lines and Proofs Functions and Tables Triangles Functions and Graphs What Is a Triangle? Linear and Nonlinear Functions The Angles of a Triangle Linear and Exponential Growth Congruence Functions and Formulas Congruence Postulates Arithmetic of Functions Similar Triangles Linear Equations Similarity Theorems and Proportional Reasoning Patterns and Lines Performance Task: the Parallax Problem Slope Coordinate Geometry Slope Intercept Equation of a Line Midpoint Formula Graphing and Manipulating y = mx+b The Distance Formula Point Slope Equation of a Line Patterns and Lines Parallel and Perpendicular Lines Slope Linear Inequalities Equations of Lines Systems of Linear Equations Equations of Parallel & Perpendicular Two Variables Systems: Graphing Lines and Proofs Two Variables Systems: Substitution Coordinate Geometry with Polygons Two Variables Systems: Elimination Area of a Triangle with Coordinate Geometry Two Variables Systems: Matrices Area and Perimeter of Polygons Two Variables Systems of Inequalities with Coordinate Geometry Descriptive Statistics Constructions and Transformations Numerical Data Constructions Measures of Center Paper Folding Measures of Spread Impossible Problems from Antiquity Box Plots Transformations Describing Distributions Symmetry Two Variable Data Tessellations

11 Functions What is a Function? Graphing Functions Linear Functions Linear Equations and Inequalities Linear Systems Linear and Nonlinear Functions Linear and Exponential Growth Arithmetic of Functions Exponential Functions Types of Numbers Exponents Exponential Functions Examples and Applications of Exponential Functions Graphs of Exponential Functions Polynomials What is a Polynomial? Adding and Subtracting Polynomials Multiplying Binomials Multiplying Polynomials Dividing Polynomials Factoring of Polynomials Why Factor? Factoring with Tiles Factoring and Graphing Factoring x 2 +bx+c Factoring ax 2 +bx+c Special Cases Quadratic Equations and Functions Parabolas Solving Quadratic Equations Completing the Square The Quadratic Formula Graphs of Quadratic Functions Working with Complex Numbers Nonlinear Systems of Equations Linear Quadratic and Exponential Models Performance Task: Pricing for Profit Undoing Functions and Moving Them Around Inverses Graphs of Inverses Parent Functions Shifting Functions Stretching Functions Vertically Transformation of Parent Functions Math II CC Applications of Probability What is Probability? Counting Principles Permutations and Combinations Basic Rules of Probability Geometric Models for Probability Independence Simulations Preparing for Proofs Induction: The Search for Rules and Patterns Deduction: Making a Case The Look and Language of Logic Introduction to Proofs Basic Postulates in Geometry Planes and the Space of Geometry Intersecting Lines and Proofs Parallel Lines and Proofs Triangles What is a Triangle? The Angles of a Triangle Congruence Congruence Postulates Proofs of Congruence Similar Triangles Similarity Theorems and Proportional Reasoning Triangle Theorems Medians and Altitudes Bisectors and Midsegments Right Triangles and Trigonometry The Pythagorean Theorem Proving Congruence of Right Triangles Similar Right Triangles Special Right Triangles Trigonometric Ratios The Unit Circle and Pythagorean Identities Quadrilaterals and Other Polygons Angle Sums of a Polygon and Proofs Parallelograms and Proofs Tests for Parallelograms Rectangles Rhombi and Squares Trapezoids

12 Circles Without Coordinates What is a Circle? Chords Arcs Chord and Arc Relationships Circles, Angles, and Proofs Secants, Tangents, and Proofs Circumference and Arc Lengths Area and Sectors Circles and Triangles Circles and Polygons Conics From Lines to Conic Sections Geometry of Conic Sections Midpoint Formula The Distance Formula Circles with Coordinates and Proofs Parabolas Locus of Points Three Dimensional Solids Three Dimensions What is a Polyhedron Cylinders and Cones Platonic Solids Surface Area Volume Spheres Similar Solids Performance Task: Three Dimensional Solids Math II CC

13 Math III CC Statistical Analysis Rational Expressions and Functions Review of Graphical Analysis of Data Proportions Review of Numerical Analysis of Data Rational Expressions Data Gathering and Inferential Statistics Simplifying Rational Expressions Random Variables Multiplying and Dividing Rational Expressions Experimental Design Adding and Subtracting Rational Expressions Evaluating Published Reports Inverse Variation Applications of Statistical Techniques Solving Rational Functions Functions Vertical Asymptotes What is a Function? Graphing Rational Functions Graphing Functions Radical Expressions and Functions Linear Functions Basics of Radicals Linear Equations and Inequalities Multiplying and Dividing Radicals Solving Literal Equations and Formulas Adding and Subtracting Radicals Linear Systems Rationalizing Denominators Quadratic Functions Solving Radical Functions Nonlinear Systems of Equations Applications of Radical Equations Nonlinear Systems of Inequalities Rational Exponents Transforming Functions Review of Complex Numbers Inverses Performance Task: The Skid Distance Problem Graphs of Inverses Exponential and Logarithmic Functions Parent Functions Geometric Sequences Shifting Functions Exponential Functions Stretching Functions Vertically Examples & Applications Transformation of Parent Functions of Exponential Functions Arithmetic of Functions Graphs of Exponential Functions Performance Task: Transforming Functions Logarithmic Functions Polynomial Functions Graphs of Logarithmic Functions Polynomial Basics Properties of Exponents and Logarithms Polynomial Functions Solving Exponential Equations Working with Complex Numbers Solving Logarithmic Equations Synthetic Division Applications of Logarithms Factoring Polynomials Completely Right Comparing and Analyzing Function Types Solving Polynomial Equations Graphing Polynomial Functions The Pythagorean Polynomial Identities Proving Congruence of Right Triangles Binomial Theorem Similar Right Triangles Transformations of Polynomial Functions Special Right Triangles Trigonometric Ratios Area of a Triangle with Coordinate Geometry Law of Cosines and Proofs Laws of Sines and Proofs

14 Math III CC Trigonometry Right Angle Trigonometry Angles and Radians Trigonometric Ratios and the Unit Circle Graphs of Since and Cosine Graphs of Other Functions Simple Transformation of Sinusoids General Transformations of Periodic Graphs Identities and Proof Trigonometric Identities Three Dimensional Solids Three Dimensions What is a Polyhedron? Cylinders and Cones Platonic Solids Surface Area Volume Spheres Similar Solids

15 Math Foundations I Introduction of Multiplication and Division Concepts Building Basic Word Problems Properties of Multiplication A Four Step Approach Place Value Too Much or Too little Information Inverse Operations Draw a Diagram Rounding to the 10's, 100's, and 1000's Use a Model or Act It Out Estimating Products Make a List Prime Numbers Build a Chart and Find a Pattern Factors Guess and Check Common Factors Work Backward Prime Factorization Building Equations Multiples Deductive Reasoning Grouping with Parentheses Inductive Reasoning Multiplying by 10 and 100 Logic Puzzles Fractions Multiplication The Meaning of Fractions Review of Addition The Meaning of Fractions: Part of a Group Review of Subtraction Fractions with Zeroes Introduction to Multiplication Estimating Fractions Multiplying by 0 and 1 Locating Fractions on a Number Line Multiplication Arrays Comparing Like Fractions Multiplication Facts with Table Equivalent Fractions Two Digit by One Digit Multiplication Simplifying Fractions Two Digit by Two Digit Multiplication Finding Common Denominators Three Digit by Two Digit Multiplication Comparing Unlike Fractions Three Digit Multiplication Fractions of a Whole Numbers Multiplying Three or More Factors Mixed Numbers and Improper Fractions Comparing and Ordering Mixed Numbers Division Converting Mixed Numbers and Improper Fractions Introduction to Division Division with 0 and 1 Decimals Division Facts with Table The Meaning of Decimals Understanding Remainders Place Value with Decimals Introduction to Long Division Locating Decimals on a Number Line Long Division with Remainders Comparing and Ordering Decimals Long Division with Two Digit Divisors Rounding with Decimals Long Division with Three Digit Divisors Checking Division

16 Math Foundations I Operations with Fractions and Decimals Word Problems with Fractions Adding and Subtracting Like Fractions Adding and Subtracting Like Fractions in Word Problems Adding and Subtracting Unlike Fractions Adding and Subtracting Unlike Fractions in Word Problems Adding Mixed Numbers Subtracting Mixed Numbers Adding and Subtracting Fractions and Whole Numbers Adding and Subtracting Decimals Decimals and Money Adding and Subtracting Decimals in Word Problems Estimating Sums and Differences with Decimals 2 D Geometry Points, Segments, Rays and Lines Data Analysis Identifying Parts of Angles Types of Data Classifying Angles Frequency Tables, Line Plots, and Bar Graphs Measuring Angles with a Protractor Stem and Leaf Plots and Histograms Parallel Intersecting and Perpendicular Paths Data Pairs and Double Bar Graphs Open and Closed Figures Data Pairs and Scatter Plots Identifying Polygons Classifying Triangles Classifying Quadrilaterals Identifying Parts of Circles Lines of Symmetry Sliding, Turning, and Flipping Shapes Congruence and Similarity Using Geometric Vocabulary Perimeter and Area Perimeter Introduction to Area Area of Rectangles and Squares Area of Parallelograms Area of Triangles 3 D Geometry Three Dimensions Introduction to Volume Volume of Rectangular Solids Polyhedra Surface Area Estimation and Units

17 Math Foundations II Integers and Operations The Language of Algebra Negative Numbers What Is a Variable? Absolute Value Finding and Naming Variables Adding and Subtracting Integers Units and Reasonable Values Multiplying and Dividing Integers Graphs, Tables and Equations Properties of Operations Solving Problems with Tables and Graphs Order of Operations Variable Expressions Number Lines and Inequalities Mathematical Sentences Fractions and Operations Solving Equation Is with Addition and Subtraction Fraction Fundamentals Simplifying and Evaluating Expressions Introduction to Fraction Arithmetic Solving Mathematical Sentences Equivalent Fractions Solving Equations Graphically Simplifying Fractions Solving Equations with Larger Numbers Improper Fractions and Mixed Numbers Solving x + a = b Dividing Fractions Solving with a Number Line Adding and Subtracting Fractions Solving Inequalities The set of rational numbers Variations of Equations and Inequalities Decimals and Operations Solving Equations with Multiplication and Division Decimal Fundamentals Solving ax = b Multiplying Decimals Solving x/a = b Multiplying Decimals and Adding Zeros Inequalities Repeating Decimals Dividing Decimals Exponents Adding and Subtracting Decimals in Word Problems Definitions and Examples of Exponents Word Problems with Decimals All Operations Exponents and the Order of Operations Estimating Sums and Differences with Decimals Laws of Exponents Scientific Notation Percents, Ratios, Proportions and Rates Exponents in Geometry The Meaning of Percent Square Roots Estimating Percent Radical Notation Working with Percents Relating Fractions, Decimals and Percents Solving Equations with Roots and Powers Common Fractions, Decimals and Percents Solving x = b Introduction to Ratios Solving x 2 = b Comparing Ratios Solving x = b Proportions Inequalities and Absolute Value Rates Inequalities and x 2 Similarity and Scale Factors Inequalities and x

18 Math Foundations II Multi Step Equations Solving ax + b +c Collecting Like Terms Using the Distributive Property Variables on Both Sides of the Equation Linear Equations Cartesian Coordinate Systems Lines in the xy plane Slope Parallel and Perpendicular Lines Slope and Equations Slope Intercept Form Point Slope Form Linear Inequalities Systems of Linear Equations Graphing Two Variables Systems Solving Two Variables Systems with Substitution Solving Two Variables Systems by Elimination Two Variables Systems of Inequalities Distance and Angles Lines, Segments, and Rays Angles Angles of a Triangle Similar Triangles The Pythagorean Theorem The Distance Formula Area, Surface Area, and Volume Review of Perimeter, Area, and Volume Area of Triangles The Number Pi The Area of a Circle Surface area of prisms And Cylinders Volume of Prisms and Cylinders Data Analysis and Probability Review of Data Analysis Populations and Samples Mean, Median, and Mode Quartiles and Box and Whisker Plots Two Variable Data Sets and the Line of Best Fit Introduction to Probability

19 Precalculus Functions What is a Function? Graphing Functions Linear Functions Arithmetic Sequences and Series Linear Equations and Inequalities Linear Systems Arithmetic of Functions Quadratic Functions Forms of Quadratic Functions Graphing Quadratic Functions Transformations Solving Quadratic Equations Applications of Quadratic Functions Polynomial and Rational Functions Polynomial Expressions Dividing Polynomials Solving Polynomial Equations Graphing Polynomial Functions Rational Functions Exponential and Logarithmic Functions Exponents and Radicals Exponential Functions Geometric Sequences Introduction to Logarithms Graphs of Logarithmic Functions Applications of Logarithms Conic Sections Introduction to Conic Sections Ellipses Hyperbolas Parabolas Systems of Conic Sections Introduction to Trigonometry Right Triangles Angles and Radians Trigonometric Ratios and the Unit Circle Trigonometric Functions Graphs of Sine and Cosine Graphs of Other Functions Simple Transformations of Sinusoids General Transformations of Periodic Graphs Working with Trigonometric Functions Inverse Trigonometric Functions Solving Trigonometric Equations Modeling Simple Harmonic Motion Trigonometric identities Identities and Proof Trigonometric Identities Applications of Identities Applications of Trigonometry Law of Cosines Law of Sines Vectors Complex Numbers Polar Coordinates Graphs of Polar Functions Polar Form of Complex Numbers Arithmetic of Complex Numbers Powers and Roots of Complex Numbers

20 Introductory Algebra Integers Measurement Whole Numbers Metric and Customary Units Number Lines and Inequalities Converting Units Rounding Whole Numbers Estimation and Scale Operations and Numerical Expressions Precision Measurement Properties of Operations Solving Equations with Multiplication and Division The Operations on a Number Line Solving ax=b Reverse Operations The Lightning Problem Negative Numbers Solving x/a=b Absolute Value Inequalities Adding Integers Exponents Subtracting Integers Definitions and Examples of Exponents Multiplying Integers Exponents and the Order of Operations Dividing Integers Laws of Exponents The Language of Algebra Scientific Notation What Is a Variable? Exponents in Geometry Finding and Naming Variables Square Roots Units and Reasonable Values Radical Notation Graphs, Tables and Equations Solving the Equations with Roots and Powers Solving Problems with Tables and Graphs Solving x = b variable expressions Solving x 2 = b Variable Expressions Solving x = b Simplifying and Evaluating Expressions Inequalities and Absolute Value Mathematical Sentences Inequalities and x 2 Solving Mathematical Sentences The Pythagorean Theorem Some Guidelines for Multi Step Equations Solving Equation Is with Addition and Subtraction Solving ax + b +c Solving Equations Graphically Collecting Like Terms Solving Equations with Larger Numbers Using the Distributive Property solving x + a = b Variables on Both Sides of the Equation Solving with a Number Line The Profit Problem Solving Inequalities Linear Equations Variations of Equations and Inequalities Cartesian Coordinate Systems Density Line in the xy plane The King's Crown Problem Slope Fractions and Decimals Parallel and Perpendicular Lines Fraction Fundamentals Slope and Equations Introduction to Fraction Arithmetic Slope Intercept Form Equivalent Fractions Point Slope Form Simplifying Fractions Linear Inequalities Mixed Numbers Dividing Fractions Adding and Subtracting Fractions Decimals and Percents The Set of Rational Numbers

21 Math of Personal Finance What is Money? Money Defined How Money Is Created Inflation and Recession The National and Global Debt Other Forms of Currency Cost of Living and Budget Types of Wages Compensation Packages Piece Rate Linear Equations and Wages Percentages and Commission Take Home Pay: Required Deductions Take Home Pay: Optional Deductions Income and Career Cost of Living and Budget Income Tax Taxable Income Itemized Deductions Tax Brackets Submitting Your Tax Form Checking and Savings Simple Interest Exponential Growth The Rule of 72 Checking Accounts Balancing Your Checkbook Comparing Checking Accounts Savings Accounts Comparing Savings Accounts Purchasing and Credit Sales Tax Coupons, Rebates and Sales Marketing Credit Cards Calculating Credit Card Interest Tracking Payments and Purchases Comparing Credit Cards Credit Scores Bankruptcy Loans and Payments Single and Payday Loans Installment Loans and Layaway Monthly Payments Loan Pre Approvals Deferred Payments Paying Off Prepayment Car Ownership Car Leasing Car Renting and Sharing Car Dealers Payments Dealer Incentives Owning and Operating Equity and Depreciation Planning a Trip Total Trip Expenses Home Ownership Selecting a House: Fairly Priced? Mortgages: Fixed Rate Mortgages: Variable Rate Multiple Mortgages and Refinancing Discounts Balloon Mortgages Additional Costs: Fees Additional Costs: Escrow Total Housing Payments Paying Off a Mortgage Insurance and Retirement Car Insurance Premiums Suggested Premium Property and Renters Insurance Life Insurance Calculating Life Insurance Premiums Retirement Accounts

22 Math of Personal Finance Investments CDs Annuities Bonds Stocks The Stock Market Prediction Periodic Investment Retirement and Periodic Investment Individual Net Worth Business Cost and Revenue Functions Profit Solving Systems of Equations Matrices Factors Affecting Business Maximizing Revenue or Minimizing Cost Running a Business Storage Inventory and Other Business Concerns

23 Financial Literacy Goals and Career Planning The Need for Financial Literacy Identifying Goals Income and Career Establishing Career Goals Achieving Career Goals Income and Budgeting Types of Income Compensation Packages Required and Optional Deductions Taxation Budgeting and Cost of Living Inflation, Deflation and Recession Banking Types of Banks The Federal Reserve Checking Accounts Balancing Your Checkbook Comparing Checking Accounts Electronic Banking Savings and Investment Interest The Rule of 72 Savings Accounts Comparing Savings Accounts Investment Stocks and Brokers The Stock Market Credit Credit, Debit and Cash Calculating Credit Card Interest Tracking Payment and Purchases Comparing Credit Credit Scores Bankruptcy Other Types of Credit Consumer Purchasing and Protection How to Buy a Car How to Buy a House Buying, Renting or Leasing Consumer Purchases and Agreements Marketing Insurance Retirement Planning

24 Probability and Statistics Collecting Data What is Statistics? Observational Studies Experimental Design Categorical Data Numerical Data Sets Numerical Data Measures of Center Measures of Spread Box Plots Describing Distributions Transforming Univariate Data Bivariate Data Scatterplots Correlation Coefficients Linear Regression Assessing Linear Regression Transforming Bivariate Data Probability Random Outcomes, Sample Space and Events General Probability Conditional Probability Independence Baye's Theorem Simulations Probability Distributions Discrete Random Variables Continuous Random Variables Binomial Probability Distribution Geometric Probability Distribution Normal Distributions Sample Distributions and Confidence Intervals Point Estimates Single Sample Mean Single Sample Proportion Single Sample Proportions and Confidence Intervals Evaluation Published Reports Applications of Statistical Techniques

25 Liberal Arts Math Introduction to Building Basic Word Problems A Four Step Approach Too Much or Too Little Information Draw a Diagram Use a Model or Act it Out Make a List Build a Chard and Find a Pattern Guess and Check Work Backward Building Equations Deductive Reasoning Inductive Reasoning Login Puzzles Review of Algebraic Concepts Types of Numbers Integers and Operations Variables and Solving with Addition, Subtraction, Multiplication and Division Solving Multistep Linear Equations Fractions, Decimals and Percents Operations with Exponents Operations with Roots and Powers Functions When One Things Depends on Another Function Notation Input Output Machines Functions and Tables Functions and Graphs Functions and Formulas How Many Outputs? Functions and Relations Domain and Range Graphing Data The Cartesian Coordinate System Geometry with Coordinates Midpoint Formula The Distance Formula Coordinates and Data Data Analysis

26 Liberal Arts Math Linear Equations Patterns and Lines Slope The Rescue Ship Problem Parallel and Perpendicular Lines Slope Intercept Equation of a Line Graphing and Manipulating y = mx + b Point Slope Equation of a Line Linear Equalities Circles Systems of Linear Equations Formulating Systems of Equations Two Variable Systems: Graphing Two Variable Systems: Substitution Two Variable Systems: Elimination Two Variable Systems: Matrices Two Variable Systems of Inequalities Three Variable Systems of Equations Three Variable Systems: Matrices Polynomials What is a Polynomial? Adding and Subtracting Polynomials Multiplying Binomials Multiplying Polynomials Dividing Polynomials Graphing Polynomials Factoring of Polynomials What Factor? Factoring with Tiles Factoring and Graphing Grouping Factoring x 2 + bx + c Factoring ax 2 + bx + c Special Cases Solving Quadratic Equations Completing the Square The Quadratic Formula Triangles What is a Triangle? The Angles of a Triangle Congruence Congruence Postulates Proofs of Congruence Similar Triangles Ratios and Proportions Similarity Theorems

27 Triangle Theorems Medians, Altitudes and Bisectors The Parallax Problem Right Triangles Area of a Triangle The Pythagorean Theorem Congruent Right Triangles Similar Right Triangles Special Right Triangles Trigonometric Ratios Quadrilaterals and Other Polygons Polygons and Quadrilaterals Congruent and Similar Polygons Angle Sums of a Polygon Parallelograms Tests for Parallelograms Rectangles Rhombi and Squares Trapezoids and Kites Area and Perimeter of Quadrilaterals Area and Perimeter of Polygons Area and Perimeter: Changing Dimensions Three Dimensional Solids Three Dimensions What is a Polyhedron? Cylinders and Cones Platonic Solids Surface Area Volume Spheres Similar Solids Numerical Data Sets Numerical Data Measures of Center Measures of Spread Box Plots Describing Distributions Transforming Univariate Data Scatterplots Selecting Data Displays Numerical Data Sets Liberal Arts Math