High School Courses: Mathematics

Advanced Algebra with Financial Applications
Description
This course walks students through the information needed to make the best decisions with money. Advanced Algebra with Financial Applications is an advanced course incorporating realworld applications, collaboration, and calculations using technology. Students learn the formulas used to determine account balances, monthly payments, total costs, and more. They examine budgeting, spending, saving, investment, and retirement. Students explore mortgages and other debt structures and how to make good decisions about borrowing money. This knowledge will propel students into the future with a good foundation on how to handle finances.
PreRequisites: Algebra II recommended
Credits: 1.0
Estimated Completion Time: 2 segments/3236 weeks
Major Topics and Concepts
Segment I
Savings
 Linear Growth
 Exponential Growth
 Compound Interest
 Growth and Decay
Spending
 Data Representations
 Linear Representations
 Income Tax
 Deferment
 Purchasing Costs
Debt
 APR
 Finance Charges
 Cash or Credit
 Credit Scores and Reports
 Cash Management
 Budgeting
 Pay It Off
Segment II
Mortgage
 Fixed Rate
 Adjustable Rate
 Balloon
 Comparing Options
 Points
 Additional Fees
 Total Cost
Investments
 PreWriting
 Future Value
 Present Value
 Purchasing Stocks
 Stocks and Bonds
 Portfolios
Retirement
 Financial Goals
 Plans
 Insurance
 Net Worth

Algebra I
Description
Algebra I is the foundation—the skills acquired in this course contain the basic knowledge needed for all future high school math courses. The material covered in this course is important, but everyone can do it. Anyone can have a good time solving the hundreds of realworld problems algebra can help answer. Each module in this course is presented in a stepbystep way right on the computer screen. Handson labs make the numbers, graphs, and equations more real. The content in this course is tied to realworld applications like sports, travel, business, and health. This course is designed to give students the skills and strategies to solve all kinds of mathematical problems. Students will also acquire the confidence needed to handle everything high school math has in store for them.
PreRequisites: Middle School Grade 7 Mathematics Advanced or PreAlgebra
Credits: 1.0
Estimated Completion Time: 2 segments/ 3236 weeks
Major Topics and Concepts
Segment 1
Module 01: Algebra Foundations
 Numerical Operations
 Algebraic Expressions
 Units and Graphs
 Descriptive Modeling and Accuracy
 Translations
 Algebraic Properties and Equations
Module 02: Equations and Inequalities
 OneVariable Equations
 TwoVariable Equations
 Absolute Value Equations
 Inequalities
 Compound Inequalities
 Literal Equations
Module 03: Linear Functions
 Relations and Functions
 Function Notation and Graphs
 Linear Functions
 Linear Models
 Writing Linear Functions
 Horizontal and Vertical Lines
Module 04: Exponential Functions
 Properties of Exponents
 Operations with Radicals
 Exponential Functions and Models
 Graphing Exponential Functions
 Sequences
 Exploring Linear and Exponential Growth
Module 05: Systems of Equations
 Solving Systems of Equations Graphically
 Solving Systems of Equations Algebraically
 Solving Systems of Equations Approximately
 TwoVariable Linear Inequalities
 Systems of Linear Inequalities
Segment 2
Module 06: Statistics
 Representing Data
 Comparing Data Sets
 Data Sets and Outliers
 TwoWay Frequency Tables
 Scatter Plots and Line of Best Fit
 Correlation and Causation
Module 07: Polynomials
 Introduction to Polynomials
 Addition and Subtraction of Polynomials
 Multiplication of Monomials
 Division of Monomials
 Multiplication of Polynomials
 Special Products
 Division of Polynomials
 Function Operations
Module 08: Factoring
 Greatest Common Factor
 Factoring By Grouping
 Factoring Trinomials
 Perfect Square Trinomials
 Difference of Perfect Squares
 Polynomial Functions
Module 09: Quadratic Functions
 Quadratic Models
 Quadratics and Completing the Square
 Quadratics and the Quadratic Formula
 Applications of Quadratic Functions
 Exploring NonLinear Systems and Growth

Algebra I for Credit Recovery
Description
Algebra I is the foundation—the skills acquired in this course contain the basic knowledge needed for all future high school math courses. The material covered in this course is important, but everyone can do it. Anyone can have a good time solving the hundreds of realworld problems algebra can help answer. Each module in this course is presented in a stepbystep way right on the computer screen. Handson labs make the numbers, graphs, and equations more real. The content in this course is tied to realworld applications like sports, travel, business, and health. This course is designed to give students the skills and strategies to solve all kinds of mathematical problems. Students will also acquire the confidence needed to handle everything high school math has in store for them.
PreRequisites: Student has previously completed Algebra I without achieving a passing grade.
Credits: 1.0
Estimated Completion Time: 10 weeks per segment
Major Topics and Concepts
Segment 1
Module 01: Algebra Foundations
 Numerical Operations
 Algebraic Expressions
 Units and Graphs
 Descriptive Modeling and Accuracy
 Translations
 Algebraic Properties and Equations
Module 02: Equations and Inequalities
 OneVariable Equations
 TwoVariable Equations
 Absolute Value Equations
 Inequalities
 Compound Inequalities
 Literal Equations
Module 03: Linear Functions
 Relations and Functions
 Function Notation and Graphs
 Linear Functions
 Linear Models
 Writing Linear Functions
 Horizontal and Vertical Lines
Module 04: Exponential Functions
 Properties of Exponents
 Operations with Radicals
 Exponential Functions and Models
 Graphing Exponential Functions
 Sequences
 Exploring Linear and Exponential Growth
Module 05: Systems of Equations
 Solving Systems of Equations Graphically
 Solving Systems of Equations Algebraically
 Solving Systems of Equations Approximately
 TwoVariable Linear Inequalities
 Systems of Linear Inequalities
Segment 2
Module 06: Statistics
 Representing Data
 Comparing Data Sets
 Data Sets and Outliers
 TwoWay Frequency Tables
 Scatter Plots and Line of Best Fit
 Correlation and Causation
Module 07: Polynomials
 Introduction to Polynomials
 Addition and Subtraction of Polynomials
 Multiplication of Monomials
 Division of Monomials
 Multiplication of Polynomials
 Special Products
 Division of Polynomials
 Function Operations
Module 08: Factoring
 Greatest Common Factor
 Factoring By Grouping
 Factoring Trinomials
 Perfect Square Trinomials
 Difference of Perfect Squares
 Polynomial Functions
Module 09: Quadratic Functions
 Quadratic Models
 Quadratics and Completing the Square
 Quadratics and the Quadratic Formula
 Applications of Quadratic Functions
 Exploring NonLinear Systems and Growth

Algebra IA
Description
Algebra and the world around you. You may not know it, but algebra is behind the scenes of just about everything. How long will it take to get to school? What does it mean to be average in height? What percentage of your time do you spend studying or watching TV? There are ways to measure and calculate everything from the amount of water in a glass, to the amount of glass needed to build a skyscraper. This course will review some of the fundamental math skills you learned in middle school, and then get you up to speed on the basic concepts of algebra. Each module takes you stepbystep into the world of integers, equations, graphs and data analysis. You’ll work at your own pace until the numbers come out right. This course connects algebra to the real world. It also demystifies algebra, making it easier to understand and master. The goal is to create a foundation in math that will stay with you throughout high school.
PreRequisites: Student should be in 9th grade or higher. Course is part of a twoyear sequence with Algebra IB.
Credits: 1.0
Estimated Completion Time: 2 segments / 3236 weeks
Major Topics and Concepts
Segment 1
 Grouping Numbers (real, rational, irrational, integers, whole, counting)
 Properties (commutative, associative, identity, distributive)
 Order of Operations {PEMDAS)
 Absolute Value
 Squares & Square Roots (exponents/radicals)
 Exponents (negative exponents, fractional exponents, 0 power)
 Rounding Decimals (ones, tenths, hundredths, thousandths)
 Estimating (using strategies for estimation)
 Scientific Notation (standard form to scientific notation & vice versa)
 Graphs (identifying line, bar, scatterplot and circle graph properties)
 Data Tables (creating and interpreting)
 Charts & Diagrams (stem & leaf plots/tree diagram interpretation)
 Circle & Line Graphs (interpreting data from graphs)
 Central Tendencies & Correlation Lab
 Ratios/Fractions/Percents
 Integers & Adding
 Positive & Negative Integers (adding)
 Positive & Negative Integers (subtracting)
 Computing with Integers
 Multiplying Integers
 Dividing Integers
 Combining Like Terms (variables and integers)
 Distributing
 Distributing and Combining Like Terms
 One Step Equations
 One & Two Step Equations
 Equations with Variables on Both Sides
 Multistep Equations
 Special Equations (x = all real numbers & no solution)
 Absolute Value Equations
 English to Algebra (translating word problems)
 English to Algebra (solving equations from word problems)
 Evaluating Expressions
 Formulas (perimeter, area of polygons & circles)
 Measurement Conversions
Segment 2
 Distance = Rate x Time (Lab)
 Surface Area & Volume (Lab)
 Integer Review
 Solving Inequalities
 Graphing Inequalities on Number Line
 Ohms Lab (inequalities and scientific notation)
 Percent/Fraction Review
 Functions
 Prime Factorization
 Simple Factoring
 Simplifying Radicals
 Simplifying Exponents
 Standard Form vs. SlopeIntercept Form Equations
 Finding the Slope
 Changing Standard Form to SlopeIntercept Form
 Graphing Linear Equations (x and yintercepts method)
 Graphing Linear Equations (slopeintercept method)
 Solving Systems of Equations (addition method)
 Solving Systems of Equations (substitution method)
 Solving Systems of Equations (graphing method)
 PointSlope Formula
 Horizontal & Vertical Lines

Algebra IB
Description
It’s time to finish what you started. In Algebra IA, you learned that algebra is an efficient way to solve some realworld problems. You also acquired the power to do a lot of the important basic work. Now, after a quick review, you’ll be ready to tackle Algebra IB. This course works like the last one. You’ll get stepbystep instructions with all the numbers, equations, and graphs on the screen right in front of you. You’ll also have plenty of time to practice and plenty of opportunities to ask your teacher for help. Along with learning new algebraic strategies and properties, you’ll learn data analysis concepts and techniques. You’ll also see how algebra connects with other high school subjects like geometry, statistics, and biology. Together, Algebra IA and IB will meet your Algebra I requirement. These courses will also give you a powerful tool for understanding how the world works, and how to make it work for you.
PreRequisites: Algebra IA
Credits: 1.0
Estimated Completion Time: 2 segments / 3236 weeks
Major Topics and Concepts
Segment 1
 Exponents and Order of Operations
 Variables, Expressions, and Equations
 Properties of Real Numbers, the Real Number System, and Absolute Value
 Writing and Solving Linear Equations
 Using Formulas and Literal Equations
 Solving Absolute Value Equations
 Independent and Dependent Variables
 Functions, Domain and Range
 Representing Relationships, Function Notation, and Function Rules
 Evaluating and Interpreting a Function
 Formulas
 Patterns of Change and Slopes and Rate of Change
 Horizontal and Vertical Lines
 SlopeIntercept, Standard, and PointSlope Forms of a Linear Equations
 Scatter Plots from Data
 Absolute Value Functions
 Identifying Special Lines
 Solving Systems of Equations by Graphing
 Solving Systems of Equation using Substitution, Elimination, and Multiplication
 Applications of Linear Systems
 Graphing Linear Inequalities and Graphing Systems of Linear Inequalities
 Adding and Subtracting Polynomials
 Laws of Exponents
 Multiplying a Polynomial with a Monomial
 Multiplying Polynomials and Specials Products
 Polynomial Division
 Scientific Notation
Segment 2
 Factoring Polynomials (Greatest Common Factor, Difference of Squares, Perfect Square Trinomials, Factoring by Grouping, and Factoring Trinomials of the Types x2 + bx + c and ax2 + bx + c)
 Solving Quadratic Equations by Factoring
 Quadratic Functions and Quadratic Graphs
 The Quadratic Formula and Using the Discriminant
 Exponential Functions and Exponential Growth and Decay
 Simplifying Rational Expressions
 Adding, Subtracting, Multiplying, and Dividing Rational Expressions
 Solving Equations with Rational Expressions and Applications Using Rational Expressions
 Simplifying Radical Expressions
 Adding, Subtracting, Multiplying, and Dividing Radical Expressions
 Solving Equations with Radical Expressions
 The Pythagorean Theorem
 The Distance and Midpoint Formulas
 Probability
 Measures of Central Tendency (Mean, Median, and Mode)
 Statistical Graphs

Algebra II
Description
This course allows students to learn while having fun. Interactive examples help guide students’ journey through customized feedback and praise. Mathematical concepts are applied to everyday occurrences such as earthquakes, stadium seating, and purchasing movie tickets. Students investigate the effects of an equation on its graph through the use of technology. Students have opportunities to work with their peers on specific lessons. Algebra II is an advanced course using handson activities, applications, group interactions, and the latest technology.
PreRequisites: Algebra 1
Credits: 1.0
Estimated Completion Time: 2 segments / 3236 weeks
Major Topics and Concepts
Segment I Concepts
Module 1
 Algebra 1 Review
 Introduction to Functions
 Graphing Linear Equations and Inequalities
 Writing the Equation of a Line
 Comparing Functions
Module 2
 Rational Exponents
 Properties of Rational Exponents
 Solving Radical Equations
 Complex Numbers
 Operations of Complex Numbers
Module 3
 Review of Polynomials
 Polynomial Operations
 Greatest Common Factors and Special Products
 Factoring by Grouping
 Sum and Difference of Cubes
 Graphing Quadratics
 Completing the Square
 Solving Quadratic Equations
 Solving Quadratic Equations with Complex Solutions
 Investigating Quadratics
Module 4
 Polynomial Long Division
 Polynomial Synthetic Division
 Theorems of Algebra
 Rational Root Theorem
 Solving Polynomial Equations
 Graphing Polynomial Equations
 Polynomial Identities and Proofs
Module 5
 Simplifying Rational Expressions
 Multiplying and Dividing Rational Expressions
 Adding and Subtracting Rational Expressions
 Simplifying Complex Fractions
 Discontinuities of Rational Expressions
 Asymptotes of Rational Functions
 Solving Rational Equations
 Applications of Rational Equations
Segment II Concepts
Module 6
 Solving Systems of Equations Algebraically
 Solving Systems of NonLinear Equations
 Graphing Systems of Linear Equations
 Graphing Systems of NonLinear Equations
Module 7
 Exponential Functions
 Logarithmic Functions
 Properties of Logarithms
 Solving Exponential Equations with Unequal Bases
 Graphing Exponential Functions
 Graphing Logarithmic Functions
 Exponential and Logarithmic Functions
Module 8
 Arithmetic Sequences
 Arithmetic Series
 Geometric Sequences
 Geometric Series
 Sigma Notation
 Infinite, Convergent, and Divergent Series
 Graphing Series
Module 9
 Events and Outcomes in a Sample Space
 Independent Probabilities
 Conditional Probability
 Normal Distribution
 Models of Populations
 Using Surveys
 Using Experiments
Module 10
 Introduction to the Unit Circle
 Unit Circle and the Coordinate Plane
 Trigonometric Functions with Periodic Phenomena
 Pythagoras, Trigonometry, and Quadrants
 Functions of All Types

Algebra II for Credit Recovery
Description
This course allows students to learn while having fun. Interactive examples help guide students’ journeys through customized feedback and praise. Mathematical concepts are applied to everyday occurrences such as earthquakes, stadium seating, and purchasing movie tickets. Students investigate the effects of an equation on its graph through the use of technology. Students have opportunities to work with their peers on specific lessons.
PreRequisites: Student has previously completed Algebra II without achieving a passing grade.
Credits: 1.0
Estimated Completion Time: 10 weeks per segment
Major Topics and Concepts
Segment I Concepts
Module 1
 Algebra 1 Review
 Introduction to Functions
 Graphing Linear Equations and Inequalities
 Writing the Equation of a Line
 Comparing Functions
Module 2
 Rational Exponents
 Properties of Rational Exponents
 Solving Radical Equations
 Complex Numbers
 Operations of Complex Numbers
 Review of Polynomials
 Polynomial Operations
Module 3
 Greatest Common Factors and Special Products
 Factoring by Grouping
 Sum and Difference of Cubes
 Graphing Quadratics
 Completing the Square
 Solving Quadratic Equations
 Solving Quadratic Equations with Complex Solutions
 Investigating Quadratics
Module 4
 Polynomial Long Division
 Polynomial Synthetic Division
 Theorems of Algebra
 Rational Root Theorem
 Solving Polynomial Equations
 Graphing Polynomial Equations
 Polynomial Identities and Proofs
Module 5
 Simplifying Rational Expressions
 Multiplying and Dividing Rational Expressions
 Adding and Subtracting Rational Expressions
 Simplifying Complex Fractions
 Discontinuities of Rational Expressions
 Asymptotes of Rational Functions
 Solving Rational Equations
 Applications of Rational Equations
Module 6
 Solving Systems of Equations Algebraically
 Solving Systems of NonLinear Equations
 Graphing Systems of Linear Equations
 Graphing Systems of NonLinear Equations
Module 7
 Exponential Functions
 Logarithmic Functions
 Properties of Logarithms
 Solving Exponential Equations with Unequal Bases
 Graphing Exponential Functions
 Graphing Logarithmic Functions
 Exponential and Logarithmic Functions
Module 8
 Arithmetic Sequences
 Arithmetic Series
 Geometric Sequences
 Geometric Series
 Sigma Notation
 Infinite, Convergent, and Divergent Series
 Graphing Series
Module 9
 Events and Outcomes in a Sample Space
 Independent Probabilities
 Conditional Probability
 Normal Distribution
 Models of Populations
 Using Surveys
 Using Experiments
Module 10
 Introduction to the Unit Circle
 Unit Circle and the Coordinate Plane
 Trigonometric Functions with Periodic Phenomena
 Pythagoras, Trigonometry, and Quadrants
 Functions of All Types

Algebra Readiness
Description
Algebra Readiness is a selfguided minicourse designed to assess your preparedness for Algebra, and to help raise your prealgebra competencies as needed. Although this is a NONCREDIT course, taking it will increase the likelihood of your future success in Algebra I.
Major Topics and Concepts
Review topics including the following:
 Prime Factorization
 Least Common Multiples and Greatest Common Factors
 Introduction to Fractions
 Multiplying and Dividing Fractions
 Adding and Subtracting Fractions
 Decimals
 Perfects
 Converting Fractions, Decimals, and Percents
 Exponents
 Square Roots
 Integers
 Order of Operations
 Absolute Value
 OneStep Linear Equations
 Ratios, Rates, and Proportions
 Plotting Coordinates

Calculus
Description
Walk in the footsteps of Newton and Leibnitz! An interactive text and graphing software combine with the exciting online course delivery to make Calculus an adventure. This course includes a study of limits, continuity, differentiation, and integration of algebraic, trigonometric and transcendental functions, and the applications of derivatives and integrals.
PreRequisites: Algebra I, Geometry, Algebra II, PreCalculus or Trigonometry/Analytical Geometry.
Credits: 1.0
Estimated Completion Time: 2 Semesters
Major Topics and Concepts
Module 0: Preparation for Calculus Suggested Pace: 2 weeks
Topics
 Understanding the properties of real numbers and the number line
 Using the Cartesian coordinate system to graph functions
 Comparing relative magnitudes of functions – contrasting exponential, logarithmic and polynomial growth
Content
 Orientation to course
 Real numbers and the real number line
 Cartesian plane
 Graphs and models
 Linear models and rates of change
 Functions and their graphs
Major Assignments and Assessments
 Problem Sets
 Entry Quiz
 Oral Review: Discussion about using Calculator zoom features to examine a graph in a good viewing window and calculator operations to find the zeros of a graph and the point of intersection of two graphs
 Quiz – Functions, Graphs, and Rates of Change
Module 1: Limits and Continuity Suggested Pace: 2 weeks
Topics
 Intuitive understanding of limit process
 Calculating limits using algebraic methods
 Estimating limits using tables of data
 Estimating limits using graphs
 Understanding asymptotes graphically
 Describing asymptotic behavior in terms of limits involving infinity
 Intuitive understanding of continuity
 Understanding continuity in terms of limits
 Understanding graphs of continuous or noncontinuous functions geometrically
Content
 Preview of calculus
 Finding limits graphically and numerically
 Evaluating limits analytically
 Continuity and onesided limits
 Infinite limits
Major Assignments and Assessments
 Problems sets
 Quiz – Calculating Limits
 Oral Review: Discussion about using the Calculator to experiment and produce a table of values to examine a function and estimate a limit as x approaches a point and as x grows without bound. Discussion about the limitation of a graphing calculator to show discontinuities in functions and the value of using a calculator to support conclusions found analytically.
 Elluminate Session: Discussion about conditions of continuity.
 Test – Limits and Continuity
Module 2: Differentiation Suggested Pace: 5 weeks
Topics
 Derivative defined as the limit of the difference quotient
 Graphic, numeric and analytic interpretations of the derivative
 Knowledge of derivatives of power and trigonometric functions
 Basic rules for the derivatives of sums, products, and quotients of functions
 Derivative interpreted as instantaneous rate of change
 Continuity and differentiability
 Slope of curve at a point
 Tangent line to a curve at a point
 Local linear approximation
 Instantaneous rate of change as the limit of average rate of change
 Approximate rate of change from graphs and tables of values
 Chain rule and implicit differentiation
 Equations involving derivatives and problems using their verbal descriptions
 Modeling rates of change and solving related rates problems
Content
 The derivative and the tangent line problem
 Basic differentiation rules and rates of change
 The product and quotient rules
 The chain rule
 Implicit differentiation
 Related rates
Major Assignments and Assessments
 Problem sets
 Quiz – Definition and computation of derivatives
 Oral Review: Discussion about using a calculator to find the value of a derivative at a point, and how to graph the derived function using a calculator. Discussion about the limitations of the calculator to find the numerical derivative (for example, f ‘(0) for f (x) = x).
 Test – Differentiation
Module 3: Applications of Differentiation Suggested Pace: 6 weeks
Topics
 Corresponding characteristics of graphs of f and f’
 Relationship between the increasing and decreasing behavior of f and the sign of f’
 Corresponding characteristics of graphs of f, f’, and f’’
 Relationship between the concavity of f and the sign of f’
 Points of inflection as places where concavity changes
 Mean Value Theorem and geometric consequences
 Analysis of curves including monotonicity and concavity
 Optimization – absolute and relative extrema
 Equations involving derivatives and problems using their verbal descriptions
Content
 Extrema on an interval
 Rolle’s Theorem and the Mean Value Theorem
 Increasing and decreasing functions
 Concavity and the second derivative test
 Limits at infinity
 Curve sketching
 Optimization
 Differentials
Major Assignments and Assessments
 Problem sets
 Quiz – Extrema and Concavity
 Oral Review: Discussion about using the calculator to find the critical values of a function by examining the graph of the function and the graph of the function’s derivative.
 Test – Applications of Derivatives
 Semester Exam
Module 4: Integration Suggested Pace: 4 weeks
Topics
 Definite integral as a limit of Riemann sums
 Definite integral of the rate of change of a quantity over an interval interpreted as the change of the quantity over the interval:
 Basic properties of definite integrals
 Use of the Fundamental Theorem of Calculus to evaluate definite integrals
 Use of the Fundamental Theorem of Calculus to represent a particular antiderivative, and the analytical and graphical analysis of functions so defined
 Find antiderivatives including the use of substitution
 Finding specific antiderivatives using initial conditions, including applications to motion along a line
 Use of Riemann sums and trapezoidal sums to approximate definite integrals of functions represented algebraically, graphically and by tables of values
Content
 Antiderivatives and Indefinite Integration
 Area
 Riemann sums and definite integrals
 The Fundamental Theorem of Calculus
 Integration by substitution
 Numerical integration
 Application of definite integrals including area, volume, position/velocity/acceleration and accumulation functions
 The Integral as a function
Major Assignments and Assessments
 Problem Sets
 Quiz – Integration and Area
 Quiz – The Fundamental Theorem of Calculus
 Oral Review: Discussion about using the calculator to estimate the value of a definite integral and to support solutions derived analytically.
 Test – Integration
Module 5: Transcendental Functions Suggested Pace: 3 weeks
Topics
 Use of implicit differentiation in finding the derivative of the inverse of a function
 Geometric interpretation of differential equations via slope fields
 Relationship between slope fields and solution curves for differential equations
 Knowledge of derivatives of exponential, logarithmic, and inverse trigonometric functions
 Basic properties of definite integrals
 Use of the Fundamental Theorem of Calculus to evaluate definite integrals
 Find antiderivatives including the use of substitution
 Application of integrals
Content
 The natural logarithmic function and differentiation
 The natural logarithmic function and integration
 Inverse functions including the relationship between the derivative of a function and its inverse at a point
 Exponential functions
 Bases other than e and applications
 Inverse trigonometric functions and differentiation
 Inverse trigonometric functions and integration
Major Assignments and Assessments
 Problem Sets
 Quiz – – Natural Logarithmic Functions and Exponential Functions
 Oral Review: Examine the limitations of the graphing calculator in graphing Natural Log functions. Students are required to verbally express the concepts related to the derivatives and integrals of exponential, logarithmic, and inverse trigonometric functions.
 Test: Transcendental Functions
Module 6: Differential Equations and Slope Fields: Suggested Pace: 3 weeks
Topics
 Differential equations: growth and decay
 Differential equations: separation of variables
 Slope fields
Content
 Solving separable differential equations and using them in modeling
 Geometric interpretation of differential equations via slope fields
 Relationship between slope fields and solution curves for differential equations
Major Assignments and Assessments
 Problem Sets
 Oral Review: Examine the limitations of the graphing calculator in graphing Natural Log functions. Students are required to verbally express the concepts related to the derivatives and integrals of exponential, logarithmic, and inverse trigonometric functions.
 Test: Differential Equations and Slope Fields
Module 7: Applications of Integration Suggested Pace: 3 weeks
Topics
 Application of integrals – area and volume
Content
 Area of a region between two curves
 Volume
Major Assignments and Assessments
 Problem Sets
 Oral Review – Discuss setup on a graphing calculator to find volumes for functions that cannot be integrated by hand. Students are required to be able to explain how the calculator is used to assist with the integration portion of solving a volume problem.
 Students have opportunity to demonstrate their solutions to other members of the class as well as the teacher using the whiteboard, application sharing of MathType and Graphmatica solutions, and the audio feature during this session.
 Test – Applications of Integration
Module 8: Integration Techniques and L’Hopital’s Rule Suggested Pace: 2 weeks
Topics
 Techniques of Integration
 Techniques for using Differentiation to find Limits
Content
 Basic rules of integration
 Indeterminate forms and L’Hopital’s Rule
Major Assignments and Assessments
 Problem Sets
 Oral Review – Students must verbally demonstrate the ability to use a calculator generated table to show limiting values of functions and comparative rates of growth of functions.
 Test – Integration Techniques

Geometry
Description
Geometry is everywhere, not just in pyramids. Engineers use geometry to build highways and bridges. Artists use geometry to create perspective in their paintings, and mapmakers help travelers find things using the points located on a geometric grid. Throughout this course, students travel a mathematical highway illuminated by spatial relationships, reasoning, connections, and problemsolving.
PreRequisites: Algebra I
Credits: 1.0
Estimated Completion Time: 2 segments / 3236 weeks
Major Topics and Concepts
Segment 1
Module 1
 Points, lines, and planes
 Constructions of segments, angles, lines, inscribed triangles, squares, and hexagons
 Introduction to Proofs
Module 2
 Translations
 Reflections
 Rotations
 Rigid Motions and Congruence
Module 3
 Line and Angle Proofs
 Triangle Proofs
 Parallelogram Proofs
Module 4
 Dilations
 Similar Polygons
 Similar Triangles
Module 5
 Triangle Congruence and Similarity
 Application of Congruence and Similarity
 Honors Extension Activity
Segment 2 Module 6
 Using the Coordinates
 Slope
 Coordinate Applications
Module 7
 Solving Right Triangles
 Trigonometric Ratios
 Applying Trigonometric Ratios
Module 8
 Formulas
 Applications of Volume
 Density
 3D Figures
Module 9
 Properties of Circles
 Inscribed and Circumscribed Circles
 Applications of Circles

Geometry for Credit Recovery
Description
Geometry is everywhere, not just in pyramids. Engineers use geometry to build highways and bridges. Artists use geometry to create perspective in their paintings, and mapmakers help travelers find things using the points located on a geometric grid. Throughout this course, students travel a mathematical highway illuminated by spatial relationships, reasoning, connections, and problemsolving.
Major Topics and Concepts
Segment 1 Topics: MODULE 1:
 Basics of Geometry
 Basic Constructions
 Constructing with Parallel and Perpendicular Lines
 Introduction to Proofs
MODULE 2:
 Translations
 Reflections
 Rotations
 Rigid Motion and Congruence
MODULE 3:
 Line and Angle Proofs
 Triangle Proofs
 Indirect Proofs
MODULE 4:
 Dilations
 Similar Polygons
 Similar Triangles
MODULE 5:
 Triangle Congruence and Similarity
 Applications of Congruency and Similarity
Segment 2 Topics MODULE 6:
 Using the Coordinates
 Slope
 Coordinate Applications
MODULE 7:
 Solving Right Triangles
 Applications of Trigonometric Ratios
 Applying Trigonometric Ratios
MODULE 8:
 Formulas
 Applications of Volume
 Density
 3D Figures
MODULE 9:
 Properties of a Circle
 Inscribed and Circumscribed Circles
 Applications of Circles

Integrated Mathematics I
Description
Integrated Mathematics I is the foundation—the skills acquired in this course contain the basic knowledge needed for all future high school math courses. The material covered in this course is important, and everyone can do it. Everyone can have a good time solving the hundreds of realworld problems algebra can help answer. Course activities make the numbers, graphs, and equations more real. The content in this course is tied to realworld applications like sports, travel, business, and health. This course is designed to give students the skills and strategies to solve all kinds of mathematical problems. Students will also acquire the confidence needed to handle everything high school math has in store for them. Integrated Mathematics I emphasizes the importance of algebra and geometry in everyday life through hundreds of realworld examples. Assessments are designed to ensure that your understanding goes beyond rote memorization of steps and procedures. Upon successful course completion, students will have a strong foundation in Integrated Mathematics I and will be prepared for other higher level math courses.
PreRequisites: None
Credits: 1.0
Estimated Completion Time: 2 segments / 3236 weeks
Major Topics and Concepts
Module 01: Algebra Foundations
 Numerical Operations
 Algebraic Expressions
 Units and Graphs
 Descriptive Modeling and Accuracy
 Translations
 Algebraic Properties and Equations
Module 02: Equations and Inequalities
 OneVariable Equations
 TwoVariable Equations
 Absolute Value Equations
 Inequalities
 Compound Inequalities
 Literal Equations
Module 03: Linear Functions
 Relations and Functions
 Function Notation and Graphs
 Linear Functions
 Linear Models
 Writing Linear Functions
 Horizontal and Vertical Lines
Module 04: Exponential Functions
 Properties of Exponents
 Operations with Radicals
 Exponential Functions and Models
 Graphing Exponential Functions
 Sequences
 Exploring Linear and Exponential Growth
Module 05: Systems of Equations
 Solving Systems of Equations Graphically
 Solving Systems of Equations Algebraically
 Solving Systems of Equations Approximately
 TwoVariable Linear Inequalities
 Systems of Linear Inequalities
Module 06: Statistics
 Representing Data
 Comparing Data Sets
 Data Sets and Outliers
 TwoWay Frequency Tables
 Scatter Plots and Line of Best Fit
 Correlation and Causation
Module 07: Polynomials
 Introduction to Polynomials
 Addition and Subtraction of Polynomials
 Multiplication of Monomials
 Division of Monomials
 Multiplication of Polynomials
 Special Products
 Division of Polynomials
 Function Operations
Module 08: Factoring
 Greatest Common Factor
 Factoring By Grouping
 Factoring Trinomials
 Perfect Square Trinomials
 Difference of Perfect Squares
 Polynomial Functions
Module 09: Quadratic Functions
 Quadratic Models
 Quadratics and Completing the Square
 Quadratics and the Quadratic Formula
 Applications of Quadratic Functions
 Exploring NonLinear Systems and Growth
Module 10: Foundational Geometry
 Basics of Geometry
 Using the Coordinates
 Coordinate Applications
 Formulas
 Applications of Volume

Integrated Mathematics II
Description
One day in 2580 B.C.E., a very serious architect stood in a dusty desert with a set of plans. His plans called for creating a structure 480 feet tall, with a square base and triangular sides, using stone blocks weighing two tons each. The Pharaoh wanted the job done right. The better this architect understood geometry, the better his chances were for staying alive. Algebra and geometry are everywhere, not just in pyramids. Engineers use them to build highways and bridges. Artists use them to create perspective in their paintings, and mapmakers help travelers find things using the points located on grids. Throughout this course, students travel a mathematical highway illuminated by spatial relationships, reasoning, connections, and problemsolving.
PreRequisites: Integrated Mathematics I recommended
Credits: 1.0
Estimated Completion Time: 2 segments / 3236 weeks
Major Topics and Concepts
Module 01: Review of Algebra
 Algebra 1 Review
 Introduction to Functions
 Module One Quiz
 Graphing Linear Equations and Inequalities
 Writing the Equation of a Line
 Comparing Functions
Module 02: Rational, Complex, and Polynomials
 Rational Exponents
 Properties of Rational Exponents
 Solving Radical Equations
 Complex Numbers
 Operations of Complex Numbers
Module 03: Factoring and Quadratics
 Review of Polynomials
 Polynomial Operations
 Greatest Common Factors and Special Products
 Factoring by Grouping
 Sum and Difference of Cubes
 Graphing Quadratics
 Completing the Square
 Solving Quadratic Equations
 Solving Quadratic Equations with Complex Solutions
 Investigating Quadratics
Module 04: Systems of Equations and Inequalities
 Solving Systems of Equations Algebraically
 Solving Systems of Nonlinear Equations
 Graphing Systems of Linear Equations
 Graphing Systems of Nonlinear Equations
 Exponential Functions
 Logarithmic Functions
Module 05: Statistics
 Events and Outcomes in a Sample Space
 Independent Probability
 Conditional Probability
 Pythagoras, Trigonometry, and Quadrants
Module 06: Proofs of Theorems
 Line and Angle Proofs
 Triangle Proofs
 Parallelogram Proofs
Module 07: Dilations and Similarity
 Dilations
 Similar Polygons
 Similar Triangles
Module 08: Triangle Similarity Proofs
 Triangle Congruence and Similarity
 Using the Coordinates
 Coordinate Applications
 Formulas
 Applications of Volume
Module 09: Right Triangles and Trigonometry
 Solving Right Triangles
 Trigonometric Ratios
 Applying Trigonometric Ratios
Module 10: Circles
 Properties of a Circle
 Inscribed and Circumscribed Circles
 Applications of Circles

Integrated Mathematics III
Description
This course allows students to learn while having fun. Interactive examples help guide students’ journey through customized feedback and praise. Mathematical concepts are applied to everyday occurrences such as earthquakes, stadium seating, and purchasing movie tickets. Students investigate the effects of an equation on its graph through the use of technology. Students have opportunities to work with their peers on specific lessons.
PreRequisites: Integrated Mathematics I & II
Credits: 1.0
Estimated Completion Time: 2 segments / 3236 weeks
Major Topics and Concepts
Module 01: Basics of Geometry
 Points, lines, and planes
 Constructions of segments, angles, lines, inscribed triangles, squares, and hexagons
 Introduction to Proofs
Module 02: Transformations and Congruence
 Translations
 Reflections
 Rotations
 Rigid Motions and Congruence
Module 03: Coordinate Geometry
 Using the Coordinates
 Slope
 Coordinate Applications
Module 04: Volume and Figures
 Formulas
 Applications of Volume
 Density
 3D Figures
Module 05: Trigonometry
 Introduction to the Unit Circle
 Unit Circle and the Coordinate Plane
 Trigonometric Functions with Periodic Phenomena
 Pythagoras, Trigonometry, and Quadrants
Module 06: Dividing and Solving Polynomials
 Polynomial Synthetic Division
 Theorems of Algebra
 Rational Root Theorem
 Solving Polynomial Equations
 Graphing Polynomial Functions
 Polynomial Identities and Proofs
Module 07: Rational Expressions
 Simplifying Rational Expressions
 Multiplying and Dividing Rational Expressions
 Adding and Subtracting Rational Expressions
 Simplifying Complex Fractions
 Discontinuities of Rational Expressions
 Asymptotes of Rational Functions
 Solving Rational Equations
 Applications of Rational Equations
Module 08: Exponential and Logarithmic Functions
 Exponential Functions
 Logarithmic Functions
 Properties of Logarithms
 Solving Exponential Equations with Unequal Bases
 Graphing Exponential Functions
 Graphing Logarithmic Functions
 Exponential and Logarithmic Functions
Module 09: Sequences and Series
 Arithmetic Sequences
 Arithmetic Series
 Geometric Sequences
 Geometric Series
 Sigma Notation
 Infinite, Convergent, and Divergent Series
 Graphing Sequences and Series
Module 10: Statistics
 Normal Distribution
 Models of Populations
 Using Surveys
 Using Experiments

Liberal Arts Math I
Description
Liberal Arts Mathematics I is a course designed to strengthen mathematical skills for study beyond Algebra I. The course can be used as needed to fit individual district course progression plans and can be taken either before or after Algebra 1. The topics include, but are not limited to, linear equations and inequalities, operations with polynomials, data representation, and analysis, geometric constructions, symmetry, similarity, systems of linear equations and inequalities, functions, quadratic equations, exponential equations, rational equations, radical equations, and graphing equations and functions.
PreRequisites: Grade 8 PreAlgebra
Credits: 1.0
Estimated Completion Time: 2 segments / 3236 weeks
Major Topics and Concepts
Segment 1
Module 1 – Expressions and Equations
 Interpreting Linear Expressions
 Solving Linear Equations
 Solving Linear Inequalities
 Adding and Subtracting Polynomials
 Multiplying Monomials
 Multiplying Polynomials
Module 2 – Data and Measurement
 Representing Data
 Comparing Data Sets
 Interpreting Differences in Data Sets
 Using the Normal Distribution
 Converting Units
 Using Measurements
Module 3 – Geometry
 Defining Geometric Objects
 Constructing Geometric Objects
 Identifying Symmetry and Transformations
 Proving and Using Similarity
 Solving Problems with Geometry
 Rearranging Formulas
 Using Formulas to Solve Problems
Module 4 – Relations and Functions
 Representing Functions
 Using Function Notation
 Identifying Key Features of Linear Functions
 Analyzing Linear Functions
 Analyzing Piecewise Functions
Segment 2
Module 5 – Linear Functions
 Using Different Forms of Linear Equations
 Writing Linear Equations
 Graphing Linear Equations
 Solving Systems of Linear Equations Graphically
 Solving Systems of Linear Equations Algebraically
 Solving Linear Inequalities
Module 6 – Quadratic Functions
 Solving Quadratic Equations
 Interpreting Quadratic Expressions
 Analyzing Quadratic Functions
 Graphing Quadratic Functions
Module 7 – Exponential Functions
 Writing Exponential Functions
 Analyzing Exponential Functions
 Graphing Exponential Functions
Module 8 – Other Types of Equations
 Solving Radical Equations
 Solving Rational Equations

Liberal Arts II
Description
Get ready to dive in to Liberal Arts Math II through interactive videobased content. Successful completion of Algebra I and Geometry is required. Additionally, most districts recommend successful completion of Algebra II in their pupil progression plan to fully extend key concepts and prepare you for your mathematical future. The course incorporates the following Standards for Mathematical Practice: Rational Numbers, Seeing Structure in Expressions, Reasoning with Equations and Inequalities, Interpreting Functions, Arithmetic with Polynomials and Rational Expressions, Linear, Quadratic, and Exponential Models, Expressing Geometric Properties with Equations, Conditional Probability and the Rules of Probability, and Making Inferences and Justifying Conclusions.
PreRequisites: Algebra 1 and Geometry (Algebra 2 is districtdependent, but highly recommended)
Credits: 1.0
Estimated Completion Time: 2 segments, 3236 weeks
Major Topics and Concepts
Segment 1
Rational Exponents and Complex Numbers
 Rational Exponents
 Properties and Applications of Exponents
 Graphs of Radical Functions
 Complex Numbers
Quadratics
 Factoring and Graphing Quadratics
 Completing the Square
 The Quadratic Formula
 Graphing Systems of Equations
 Conics
Polynomials and Rational Equations
 The Remainder Theorem
 Solving Polynomials by Factoring
 Sketching Polynomials by Finding Zeros
 Polynomial Identities
 Rational Expressions
 Graphing Rational Functions
Exponential and Logarithmic Equations
 Exponential Functions
 Growth and Decay Models
 Transformations
 Solving Equations using Logarithms
 Graphing Exponential and Logarithmic Functions
Segment 2
Arithmetic and Geometric Sequences and Series
 Arithmetic Sequences
 Geometric Sequences
 Sum of Finite Geometric Series
 Applications of Series
Plane Geometry and Trigonometric Graphs
 Perpendicular Lines
 Proofs on the Coordinate Plane
 Proving Theorems Algebraically
 Trigonometric Graphing
 Absolute Value and Piecewise Functions
Independent and Conditional Probability
 Introduction to Probability
 Twoway Tables
 Independence vs Dependence
 Conditionality
Statistics
 Introduction to Statistics
 Simulations
 Statistical Studies
 Evaluating Reports
 Estimations and Predictions
 Analyzing and Presenting Data

PreAlgebra
Description
Students who love interactive learning will enjoy PreAlgebra. They experience intrigue and fun when they log in to PreAlgebra. This handson course is full of slideshows, applications, videos, and realworld scenarios. The satisfaction students gain from truly understanding higher level concepts such as functions and systems of equations encourages excitement and joy for learning that they may have never experienced before.
PreRequisites: Recommended for 8th grade
Credits: 1.0
Estimated Completion Time: 2 segments/3236 weeks
Major Topics and Concepts
Module One:
 Real Numbers and ExponentsThe Number Line
 Exponent Rules
 Square and Cube Roots
 Scientific Notation
 Operations with Scientific Notation
Module Two:
 Geometric TransformationsTranslations
 Reflections and Rotations
 Congruent Figures
 Similar Figures
 Transversals
 Triangles Angles
Module Three:
 Geometric RelationshipsThe Pythagorean Theorem
 Pythagorean Theorem Applications
 The Pythagorean Theorem on the Coordinate Plane
 Volume
Module Four:
 FunctionsIntroduction to Functions
 Comparing Functions
 The Linear Function
 Graphs of Functions
Module Five:
 Linear RelationshipsGraphs of Proportional Relationships
 SlopeIntercept Form
 Constructing Linear Functions
 Interpreting Linear Models
 Applications of Linear Functions
Module Six:
 Patterns of AssociationScatter Plots
 Line of Best Fit
 Interpreting Lines of Best Fit
 Frequency Tables
Module Seven:
 Linear EquationsAlgebraic Properties and OneStep Equations
 TwoStep Equations
 Solving Linear Equations
 Equations with Variables on Both Sides
 Equations with Rational Coefficients
Module Eight:
 Linear SystemsSystems of Equations
 Solve by Graphing
 Solve by Substitution
 Solve by Elimination
 Applications of Systems

PreCalculus Honors
Description
Students, as mathematic analysts, will investigate how advanced mathematics concepts can solve problems encountered in operating national parks. The purpose of this course is to study functions and develop the skills necessary for the study of calculus. The Precalculus course includes analytical geometry and trigonometry. Precalculus is an Honors level course.
PreRequisites: Algebra I, Algebra II, Geometry
Credits: 1.0
Estimated Completion Time: 2 segments/3236 weeks
Major Topics and Concepts
Module 01: Functions and Their Graphs
 Functions and Their Properties
 Graphs of Functions
 Building Functions from Functions
 Inverse Functions
 Graphing Transformations
Module 02: Polynomials and Rational Functions
 Quadratic Functions
 Polynomial Functions of Higher Degree
 Real Zeros of Polynomial Functions
 Complex Zeros
 The Fundamental Theorem of Algebra
 Writing about Polynomials
 Rational Functions and Asymptotes
 Graphs of Rational Functions
Module 03: Exponential and Logarithmic Functions
 Exponential and Logistic Functions
 Exponential and Logistic Modeling
 Logarithmic Functions and Their Graphs
 Properties of Logarithms
 Equation Solving
Module 04: Trigonometric Functions
 Angles and Their Measures
 Trigonometric Functions of Acute Angles
 Trigonometric Functions of Any Angle
 The Unit Circle
 Graphs of Sine and Cosine Functions
 Graphs of Other Trigonometric Functions
 Inverse Trigonometric Functions
 Solving Problems with Trigonometry
Module 05: Analytic Trigonometry
 Using Fundamental Identities
 Solving Trigonometric Equations
 Proving Trigonometric Equations
 Sum and Difference Formulas
 MultipleAngle Formulas
Module 06: Additional Topics in Trigonometry
 Law of Sines
 Law of Cosines
 Applying the Law of Sines and Cosines
 Vectors in the Plane
 Dot Products of Vectors
 DeMoivre’s Theorem and nth Roots
Module 07: Sequences, Series, and Proof by Induction
 Arithmetic Sequences
 Geometric Sequences
 Series and Summation
 Mathematical Induction
Module 08: Topics in Analytical Geometry
 Introduction to Conics: Parabolas
 Ellipses
 Hyperbolas
 Parametric Equations
 Applications of Parametric Equations
 Polar Coordinates
 Graphs of Polar Equations
Module 09: Line and Introduction to Calculus
 Introduction to Limits and the Derivative
 Techniques for Evaluating Limits
 Evaluating OneSided Limits
 Techniques for Evaluating Limits
 Continuity at a Point

Probability and Statistics Honors
Description
Probability and Statistics will introduce students to exploring data, sampling, and experimentation by planning and conducting studies, anticipating patterns using probability and simulation, and employing statistical inference to analyze data and draw conclusions.
PreRequisites: Algebra II
Credits: 1.0
Estimated Completion Time: 2 segments / 3236 weeks
Major Topics and Concepts
Segment I Concepts
Module 1
 Introduction to Statistics
 Measures of Central Tendency
 Measures of Variation
 Displaying Data
Module 2
 Sampling and Surveys
 Experiments
 Correlation Versus Causation
Module 3
 Basic Concepts of Probability
 Condition Probability and TwoWay Tables
 The Multiplication and Addition Rule
 Simulations
Segment II Concepts
Module 4
 Random Variables
 Binomial Probability Distribution
 Geometric Probability Distribution
 Introduction to Normal Probability Distribution
Module 5
 Sampling Distributions and Proportions
 Sample Means
 Confidence Intervals for Proportions
 Confidence Intervals for Means
Module 6
 Hypothesis Testing One Proportion
 Hypothesis Testing OneSample Mean
 Comparing Two Means
 Scatterplots and Correlation
 LeastSquares Regression