Math


Math

The A Portion of this course will build on the foundation set in middle grades by deepening students’ understanding of linear and exponential functions and developing fluency in writing and solving one-variable equations and inequalities. Students will interpret, analyze, compare, and contrast functions that are represented numerically, tabularly, graphically, and algebraically. Quantitative reasoning is a common thread throughout the course as students use algebra to represent quantities and the relationships among those quantities in a variety of ways. 

Algebra I A 

Unit 1: Representing Relationships

Unit 2: Functions

Unit 3: Linear Functions

Unit 4: Linear Equations and Inequalities

Unit 5: Systems of Equations and Inequalities

Unit 6: Nonlinear Functions

The B Portion of this courses will build on the foundation set in middle grades by deepening students’ understanding of linear and exponential functions and developing fluency in writing and solving one-variable equations and inequalities. Students will interpret, analyze, compare, and contrast functions that are represented numerically, tabularly, graphically, and algebraically. Quantitative reasoning is a common thread throughout the course as students use algebra to represent quantities and the relationships among those quantities in a variety of ways. 

Algebra I B 

Unit 1: Polynomial Expressions

Unit 2: Quadratic Functions

Unit 3: Quadratic Equations

Unit 4: Data Analysis and Applications of Probability

Unit 5: Trends in Data

The A Portion of this course will extend students knowledge of the real number system by working with complex solutions and factors of polynomials. Students expand their experience with polynomial functions, finding complex zeros and interpreting solutions. Students extend properties of exponents to using rational exponents when factoring, solving, and evaluating. Students will apply operations to polynomial functions as well as, identify zeros of polynomials, including complex zeros of quadratic polynomials, and make connections between zeros of polynomials and solutions of polynomial equations. Students will develop and understanding of a variety of function families. They will explore the effects of transformation on a graph of diverse functions.

Algebra II A

Unit 1: Relationships Between Quantities

Unit 2: Quadratics, Complex Numbers, and Systems

Unit 3: PolynomialsUnit 4: Rational Functions

The B Portion of this course will extend students knowledge of the real number system by working with complex solutions and factors of polynomials. Students expand their experience with polynomial functions, finding complex zeros and interpreting solutions. Students extend properties of exponents to using rational exponents when factoring, solving, and evaluating. Students will apply operations to polynomial functions as well as, identify zeros of polynomials, including complex zeros of quadratic polynomials, and make connections between zeros of polynomials and solutions of polynomial equations. Students will develop and understanding of a variety of function families. They will explore the effects of transformation on a graph of diverse functions.

Algebra II B

Unit 1: Radical Functions   

Unit 2: Exponential and Logarithmic Functions     

Unit 3: Nonlinear Functions and Sequences 

Unit 4: Applications of Probability  

Unit 5: Statistics and Probability    

Unit 6: Trigonometric Functions and Transformations

The A Portion of this course provides an alternative math credit for students who may not wish to pursue more advanced mathematics courses such as Algebra II and Pre-Calculus. The first half of the course begins with an in-depth study of probability and an exploration of sampling and comparing populations and closes with units on data distributions and data analysis. In the second half of the course, students create and analyze scatterplots and study two-way tables and normal distributions. Finally, students apply probability to topics such as conditional probability, combinations and permutations, and sets.

Concepts in Probability and Statistics A

Unit 1: Understanding Probability

Unit 2: Probability

Unit 3: Sampling and Comparing Populations

Unit 4: Data Distributions Unit 5: Data Analysis

The B Portion of this course provides an alternative math credit for students who may not wish to pursue more advanced mathematics courses such as Algebra II and Pre-Calculus. The first half of the course begins with an in-depth study of probability and an exploration of sampling and comparing populations and closes with units on data distributions and data analysis. In the second half of the course, students create and analyze scatterplots and study two-way tables and normal distributions. Finally, students apply probability to topics such as conditional probability, combinations and permutations, and sets.

Concepts in Probability and Statistics B

Unit 1: Constructing Scatterplots

Unit 2: Analyzing Scatterplots

Unit 3: Two-Way Tables and Statistics

Unit 4: Applications of Probability

The A Portion of this course focuses on the applications of mathematics in both personal and business settings. This course contains 15 major topics encompassing many aspects of financial math: personal financial planning, income, budgeting and wise spending, banking, paying taxes, the importance of insurance, long-term investing, buying a house, consumer loans, consumer credit, consumer debt, economic principles, traveling abroad,

starting a business, and analyzing business data. Students apply various math skills such as

percents, proportions, probability, data analysis, linear systems, exponential functions and formulas to real life situations. A unique feature of this course is that each lesson is centered on the mathematical skills used in the world of personal finance. Students participate in interactive activities and use inquiry to explore scenarios that are relevant to their lives

Financial Math A

Unit 1: Personal Financial Planning

Unit 2: Income

Unit 3: Budgeting and Wise Spending

Unit 4: Banking

Unit 5: Paying Taxes

Unit 6: The Importance of InsuranceUnit 7: Long-Term Investing

The B Portion of this course focuses on the applications of mathematics in both personal and business settings. This course contains 15 major topics encompassing many aspects of financial math: personal financial planning, income, budgeting and wise spending, banking, paying taxes, the importance of insurance, long-term investing, buying a house, consumer loans, consumer credit, consumer debt, economic principles, traveling abroad,

starting a business, and analyzing business data. Students apply various math skills such as

percents, proportions, probability, data analysis, linear systems, exponential functions and formulas to real life situations. A unique feature of this course is that each lesson is centered on the mathematical skills used in the world of personal finance. Students participate in interactive activities and use inquiry to explore scenarios that are relevant to their lives

Financial Math B

Unit 1: Buying a House

Unit 2: Consumer Loans

Unit 3: Consumer Credit

Unit 4: Consumer Debt

Unit 5: Economic Principles

Unit 6: Traveling Abroad

Unit 7: Starting a Business

Unit 8: Analyzing Business Data

The A Portion this course will build on what students learned about geometry in the middle grades with a focus on reasoning and making mathematical arguments. Mathematical reasoning is introduced with a study of triangle congruency, including exposure to formal proofs and geometric constructions. Students will then extend what they have learned to include; triangle similarity, right-triangle trigonometry, and the laws of sines and cosines. Students will also study other shapes deriving various formulas for circumference, area, and volume, as well as cross-sections of solids and rotations of two-dimensional objects. Finally, students will make important connections between geometry and algebra, including special triangles, slopes of parallel and perpendicular lines, and parabolas in the coordinate plane.

Geometry A

Unit 1: Foundations of Euclidean Geometry

Unit 2: Geometric Transformations

Unit 3: Angles and Lines

Unit 4: Triangles

Unit 5: Triangle Congruence

Unit 6: Similarity Transformations

The B Portion this course will build on what students learned about geometry in the middle grades with a focus on reasoning and making mathematical arguments. Mathematical reasoning is introduced with a study of triangle congruency, including exposure to formal proofs and geometric constructions. Students will then extend what they have learned to include; triangle similarity, right-triangle trigonometry, and the laws of sines and cosines. Students will also study other shapes deriving various formulas for circumference, area, and volume, as well as cross-sections of solids and rotations of two-dimensional objects. Finally, students will make important connections between geometry and algebra, including special triangles, slopes of parallel and perpendicular lines, and parabolas in the coordinate plane.

Geometry B

Unit 1: Right Triangle Relationships and Trigonometry

Unit 2: Quadrilaterals and Coordinate Algebra

Unit 3: Circles

Unit 4: Describing Curves with Coordinates

Unit 5: Geometric Modeling in Two Dimensions

Unit 6: Geometric Modeling in Three Dimensions

The A Portion this course introduces students to advanced studies leading to calculus. Throughout the course there is an emphasis on function families and their representations. The course briefly reviews linear equations, inequalities, and systems and moves purposefully into the study of functions. Students then discover the nature of graphs and deepen their understanding of polynomial, rational, exponential, and logarithmic functions. Scaffolding rigorous content with clear instruction, the course leads students through an advanced study of trigonometric functions, matrices, and vectors. The course concludes with a short study of probability and statistics.

PreCalculus A

Unit 1: Equations and Inequalities

Unit 2: Functions

Unit 3: Polynomial Functions

Unit 4: Rational Functions

Unit 5: Exponential and Logarithmic Functions

The B Portion this course introduces students to advanced studies leading to calculus. Throughout the course there is an emphasis on function families and their representations. The course briefly reviews linear equations, inequalities, and systems and moves purposefully into the study of functions. Students then discover the nature of graphs and deepen their understanding of polynomial, rational, exponential, and logarithmic functions. Scaffolding rigorous content with clear instruction, the course leads students through an advanced study of trigonometric functions, matrices, and vectors. The course concludes with a short study of probability and statistics.

PreCalculus B

Unit 1: Conic Sections

Unit 2: Trigonometry

Unit 3: Matrices

Unit 4: Vectors and Polar Coordinates

In this one-semester course, students use their geometry and algebra skills to begin their study of trigonometry. This course begins with a quick overview of right-triangle relationships before introducing trigonometric functions and their applications. Students explore angles and radian measures, circular trigonometry, and the unit circle. Students extend their understanding to trigonometric graphs, including the effects of translations and the inverses of trigonometric functions. This leads to the laws of sines and cosines, followed by an in-depth exploration of trigonometric identities and applications. This course ends with an introduction to the polar coordinate system, complex numbers, and DeMoivre’s theorem.

Trigonometry

Unit 1: Right Triangle Relationships

Unit 2: Applying Trigonometric Functions 

Unit 3: Trigonometric Angles 

Unit 4: Circular Trigonometry

Unit 5: Trigonometric Graphs

Unit 6: Translations of Trigonometric Graphs        

Unit 7: Law of Sines and Cosines  

Unit 8: Trigonometric Identities

Unit 9: Trigonometric Identity Application  

Unit 10: Polar Coordinate System

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Math - Arizona Online High School

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