# Math

## Mathematics 6

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This course begins by connecting ratio and rate to multiplication and division, allowing students to use ratio reasoning to solve a wide variety of problems. Students further apply their understanding of multiplication and division to explain the standard procedure for dividing fractions. This course builds upon previous notions of the number system to now include the entire set of rational numbers. Students begin to understand the use of variables as they write, evaluate, and simplify expressions. They use the idea of equality and properties of operations to solve one-step equations and inequalities. In statistics, students explore different graphical ways to display data. They use data displays, measures of center, and measures of variability to summarize data sets. The course concludes with students reasoning about relationships among shapes to determine area, surface area, and volume.

### Details:

- Course Length: 2 Semesters
- Curriculum Provider: Edgenuity

## Mathematics 7

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This course begins with an in-depth study of proportional reasoning during which students utilize concrete models such as bar diagrams and tables to increase and develop conceptual understanding of rates, ratios, proportions, and percentages. Students’ number fluency and understanding of the rational number system are extended as they perform operations with signed rational numbers embedded in real- world contexts. In statistics, students develop meanings for representative samples, measures of central tendency, variation, and the ideal representation for comparisons of given data sets. Students develop an understanding of both theoretical and experimental probability. Throughout the course, students build fluency in writing expressions and equations that model real-world scenarios. They apply their understanding of inverse operations to solve multi-step equations and inequalities. Students build on their proportional reasoning to solve problems about scale drawings by relating the corresponding lengths between objects. The course concludes with a geometric analysis of angle relationships, area, and volume of both two- and three-dimensional figures.

### Details:

- Course Length: 2 Semesters
- Curriculum Provider: Edgenuity

## Mathematics 8

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The course begins with a unit on input-output relationships that builds a foundation for learning about functions. Students make connections between verbal, numeric, algebraic, and graphical representations of relations and apply this knowledge to create linear functions that can be used to model and solve mathematical and real-world problems. Technology is used to build deeper connections among representations. Students focus on formulating expressions and equations, including modeling an association in bivariate data with a linear equation, and writing and solving linear equations and systems of linear equations. Students develop a deeper understanding of how translations, rotations, reflections, and dilations of distances and angles affect congruency and similarity. Students develop rules of exponents and use them to simplify exponential expressions. Students extend rules of exponents as they perform operations with numbers in scientific notation. Estimating and comparing square roots of non-perfect squares to perfect squares exposes students to irrational numbers and lays the foundation for applications such as the Pythagorean Theorem, distance, and volume

### Details:

- Course Length: 2 Semesters
- Curriculum Provider: Edgenuity

## Precalculus

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With an emphasis on function families and their representations, Precalculus is a thoughtful introduction to advanced studies leading to calculus. 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.

### Details:

- Course Length: 2 Semesters
- Curriculum Provider: Edgenuity

## Mathematics I

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The first in an integrated math series for high school, this course formalizes and extends middle school mathematics, deepening students’ understanding of linear relationships. The course begins with a review of relationships between quantities, building from unit conversion to a study of expressions, equations, and inequalities. Students contrast linear and exponential relationships, including a study of sequences, as well as applications such as growth and decay. Students review one-, two-, and multi-step equations, formally reasoning about each step using properties of equality. Students extend this reasoning to systems of linear equations. Students use descriptive statistics to analyze data before turning their attention to transformations and the relationship between algebra and geometry on the coordinate plane.

### Details:

- Course Length: 2 Semesters
- Curriculum Provider: Edgenuity

## Mathematics II

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This course begins with a brief exploration of radicals and polynomials before delving into quadratic expressions, equations, and functions, including a derivation of the quadratic formula. Students then embark on a deep study of the applications of probability and develop advanced reasoning skills with a study of similarity, congruence, and proofs of mathematical theorems. Students explore right triangles with an introduction to right-triangle trigonometry before turning their attention into the geometry of circles and making informal arguments to derive formulas for the volumes of various solids.

### Details:

- Course Length: 2 Semesters
- Curriculum Provider: Edgenuity

## Mathematics III

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This course synthesizes previous mathematical learning in four focused areas of instruction. First, students relate visual displays and summary statistics to various types of data and to probability distributions with a focus on drawing conclusions from the data. Then, students embark on an in-depth study of polynomial, rational, and radical functions, drawing on concepts of integers and number properties to understand polynomial operations and the combination of functions through operations. This section of instruction builds to the Fundamental Theorem of Algebra. Students then expand the study of right-triangle trigonometry they began in Mathematics II to include non-right triangles and developing the Laws of Sines and Cosines. Finally, students model an array of real-world situations with all the types of functions they have studied, including work with logarithms to solve exponential equations. As they synthesize and generalize what they have learned about a variety of function families, students appreciate the usefulness and relevance of mathematics in the real world.

### Details:

- Course Length: 2 Semesters
- Curriculum Provider: Edgenuity

## Mathematical Models with Applications

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Broadening and extending the mathematical knowledge and skills acquired in Algebra I, the primary purpose of this course is to use mathematics as a tool to model real-world phenomena students may encounter daily, such as finance and exponential models. Engaging lessons cover financial topics, including growth, smart money, saving, and installment-loan models. Prior mathematical knowledge is expanded and new knowledge and techniques are developed through real-world application of useful mathematical concepts.

### Details:

- Course Length: 2 Semesters
- Curriculum Provider: Edgenuity

## Financial Math

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Connecting practical mathematical concepts to personal and business settings, this course offers informative and highly useful lessons that challenge students to gain a deeper understanding of financial math. Relevant, project-based learning activities cover stimulating topics such as personal financial planning, budgeting and wise spending, banking, paying taxes, the importance of insurance, long-term investing, buying a house, consumer loans, economic principles, traveling abroad, starting a business, and analyzing business data. Offered as a two-semester course for high school students, this course encourages mastery of math skill sets, including percentages, proportions, data analysis, linear systems, and exponential functions.

### Details:

- Course Length: 2 Semesters
- Curriculum Provider: Edgenuity

## MATH 051: Secondary Mathematics I, Part 1

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In this integrated math course, we will use basic arithmetic and pre-algebra concepts to introduce students to fundamental algebra concepts; this will prepare them for advanced algebra and geometry. MATH 051 is the first course in a six-part series of high school integrated math courses (MATH 051, MATH 052, MATH 053, MATH 054, MATH 055, and MATH 056). This course also encompasses the Common Core State Standards.

### Details:

- Course Length: 1 Semester
- Curriculum Provider: BYU Independent Study
- Prerequisites: Pre-Algebra or equivalent
- Required Materials:
- No textbook is required for this course
- Printed Course Readings: $10.00
- NOTE FOR MAC USERS: It is strongly recommended that Chrome or Safari be used as the browser; Adobe Reader must be used to view this course.

- Cost of tuition is covered by Provo eSchool

### Syllabus:

- Working with a Set of Real Numbers
- Solving Linear Equations and Graphing
- Linear Functions
- Solving Problems Using Algebra and Geometry
- Systems of Equations and Inequalities
- Exponents and Powers: A Review
- Equations and Inequalities
- Linear Relations and Functions
- Polynomials

## MATH 052: Secondary Mathematics I, Part 2

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This integrated math course enables students to expand their understanding of algebra, explore geometric concepts, and discover probability and statistics principles. MATH 052 is the second course in a six-part series of high school integrated math courses (MATH 051, MATH 052, MATH 053, MATH 054, MATH 055, and MATH 056). This course also encompasses the Common Core State Standards.

[expand title=”Course Detail”]

### Details:

- Course Length: 1 Semester
- Curriculum Provider: BYU Independent Study
- Prerequisites: Secondary Mathematics I, part 1 or equivalent
- Required Materials:
- No textbook is required for this course
- Printed Course Readings: $10.00
- NOTE FOR MAC USERS: It is strongly recommended that Chrome or Safari be used as the browser; Adobe Reader must be used to view this course.

- Cost of tuition is covered by Provo eSchool

### Syllabus

- Inequalities and More Linear Functions
- Segments and Angles
- Parallel Lines
- Similarity
- Perimeter and Area
- Coordinate Geometry
- Systems of Equations and Inequalities
- Probability and Statistics

## MATH 053: Secondary Mathematics II, Part 1

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This integrated math course builds on Algebra and Geometry concepts previously learned while expanding the student’s understanding of polynomials, special polynomials, and linear and quadratic functions. MATH 053 is the third course in a six-part series of high school integrated math courses (MATH 051, MATH 052, MATH 053, MATH 054, MATH 055, and MATH 056). This course also encompasses the Common Core State Standards.

### Details:

- Course Length: 1 Semester
- Curriculum Provider: BYU Independent Study
- Prerequisites: Math 052 (Mathematics I, part 2) or equivalent.
- Required Materials:
- No textbook is required for this course
- Printed Course Readings: $10.00
- NOTE FOR MAC USERS: It is strongly recommended that Chrome or Safari be used as the browser; Adobe Reader must be used to view this course.

- Cost of tuition is covered by Provo eSchool

### Syllabus

- Radical Expressions and Simple Radical Equations
- Quadratic Functions: A Special Kind of Polynomial
- Polynomial Functions Other Than Quadratics
- Systems of Equations and Inequalities
- Polynomials
- Radical Expressions
- Quadratic Equations
- Polynomial Functions
- Rational Polynomial Expressions

## MATH 054: Secondary Mathematics II, Part 2

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This integrated math course will enable students to broaden their understanding of algebra and geometric concepts; this will help them as we begin to explore conic sections and trigonometric functions. MATH 054 is the fourth course in a six-part series of high school integrated math courses (MATH 051, MATH 052, MATH 053, MATH 054, MATH 055, and MATH 056). This course also encompasses the Common Core State Standards.

### Details:

- Course Length: 1 Semester
- Curriculum Provider: BYU Independent Study
- Prerequisites: Secondary Mathematics II, part 1 or equivalent
- Required Materials:
- No textbook is required for this course
- Printed Course Readings: $10.00

- Cost of tuition is covered by Provo eSchool

### Syllabus

- Solving Problems Using Algebra and Geometry
- Parallel Lines
- Triangles
- Similarity
- Right Triangle Trigonometry
- Properties of Circles
- Calculations for Circles
- Geometric Solids
- Conics
- Trigonometric Functions

## MATH 055: Secondary Mathematics III, PART 1

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This integrated math course is a study of the properties of inequalities, problems solved using algebraic and geometric concepts, radical expressions and simple radical equations, equations and inequalities, linear relations and functions, polynomial functions, rational functions, systems of equations and inequalities, and matrices. MATH 055 is the fifth course in a six-part series of high school integrated math courses (MATH 051, MATH 052, MATH 053, MATH 054, MATH 055, and MATH 056). This course also encompasses the Common Core State Standards.

### Details:

- Course Length: 1 Semester
- Curriculum Provider: BYU Independent Study
- Prerequisites: MATH 054 (Secondary Mathematics II, Part 2) or equivalent
- Required Materials:
- No textbook is required for this course
- Printed Course Readings: $10.00

- Cost of tuition is covered by Provo eSchool

### Syllabus

- Inequalities and More Linear Functions
- Solving Problems Using Algebra and Geometry
- Radical Expressions and Simple Radical Equations
- Equations and Inequalities
- Linear Relations and Functions
- Polynomial Functions Other Than Quadratics
- Rational Functions
- Systems of Equations and Inequalities
- Matrices
- Polynomials

## MATH 056: Secondary Mathematics III, PART 2

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This course is a study of coordinate geometry, geometric solids, conics, polynomial functions, rational polynomial expressions, quadratic equations, exponential and logarithmic functions, sequences and series, probability and statistics, and trigonometric functions.

### Details:

- Course Length: 1 Semester
- Curriculum Provider: BYU Independent Study
- Prerequisites: MATH 055, or two and a half full years of integrated secondary math, or equivalent
- Required Materials:
- No textbook is required for this course
- Printed Course Readings: $10.00

- Cost of tuition is covered by Provo eSchool

### Syllabus

- Coordinate Geometry
- Geometric Solids
- Conics
- Polynomial Functions
- Rational Polynomial Expressions
- Quadratic Equations
- Exponential and Logarithmic Functions
- Sequences and Series
- Probability and Statistics
- Trigonometric Functions

## PRECALC 041: Pre-calculus 1

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This course covers using mathematical functions to identify the domain and range, forming compositions, finding inverses, graphing, and solving real-world problems. This is the first course in a two-part precalculus series (PRECALC 041 and PRECALC 043). 7 lessons, 7 assignment submissions, all computer-graded (Speedback); proctored computer-graded final exam.

### Details:

- Course Length: 1 Semester
- Curriculum Provider: BYU Independent Study
- Prerequisites: ALG 057 (Algebra 2, Part 2) and GEOM 043 (Plane Geometry 2) or equivalent.
- Required Materials:
- Students must have access to a graphing calculator.
- Demana , Precalculus: Graphical, Numerical & Algebraic, Edition: 7th( 2006, 0-321-35693-4 ) $ 169.00

- Cost of tuition is covered by Provo eSchool.

### Syllabus:

- Solving Linear and Nonlinear Equations and Inequalities
- Functions and Graphs, Two Fundamental Concepts of Mathematics
- Polynomial and Power Functions
- Complex Zeros, Rational Functions, and Solving Inequalities
- Exponential and Logarithmic Functions
- Introduction to Trigonometric Functions
- Graphs of Other Trigonometric Functions and Applications

## PRECALC 043: Precalculus 2

07040000020

In this course students will be using trigonometric identities, the law of sines and cosines, and vectors; solving parametric equations, polar equations, systems of equations, conic sections; using discrete mathematics, including probabilities and statistics; and applying these skills in real-world situations. This is the second course in a two-part precalculus series (PRECALC 041 and PRECALC 043). 7 lessons, 7 assignment submissions, all computer-graded (Speedback); proctored computer-graded final exam.

### Details:

- Course Length: 1 Semester
- Curriculum Provider: BYU Independent Study
- Prerequisites: PRECALC 041 (Precalculus 1) or equivalent.
- Required Materials:
- Students must have access to a graphing calculator.
- Demana , Precalculus: Graphical, Numerical & Algebraic, Edition: 7th( 2006, 0-321-35693-4 ) $ 169.00

- Cost of tuition is covered by Provo eSchool.

### Syllabus:

- Fundamental Trigonometric Identities
- Multiple Angle Identities, the Law of Sines, and the Law of Cosines
- Vectors, Parametric Equations, and Polar Equations
- Solving Systems of Equations and Inequalities
- The Conic Sections and Three-Dimensional Geometry
- Combinatorics, the Binomial Theorem, and Probability
- Sequences, Series, Mathematical Induction, and Statistics

## TRIG 041: Trigonometry 1

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This course covers deriving and graphically representing trigonometric relationships and functions in a variety of situations. This is the first course in a two-part trigonometry series (TRIG 041 and TRIG 043). 8 lessons, 8 assignment submissions, all computer-graded (Speedback); proctored computer-graded final exam.

### Details:

- Course Length: 1 Semester
- Curriculum Provider: BYU Independent Study
- Prerequisites: High school algebra and plane geometry.
- Required Materials:
- Aufmann, Barker, and Nation , College Trigonometry, Edition: 6th( 2007, 0-618-82507-X ) $ 157.80
- Trig 041 – CDs
- Printed Course Packet

- Cost of tuition is covered by Provo eSchool.

### Syllabus:

- Functions and Graphs
- Angles and Trigonometric Functions
- More Trigonometric Functions
- Graphs of Trigonometric Functions
- Graphing Techniques and Harmonic Motion
- Trigonometric Identities
- More Identities
- Inverse Functions and Trigonometric Equations

## TRIG 043: Trigonometry 2

07040000020

This course covers solving problems dealing with identities, trigonometric equations, functions of complex numbers, and inverses. This is the second course in a two-part trigonometry series (TRIG 041 and TRIG 043). 8 lessons, 8 assignment submissions, all computer-graded (Speedback); proctored computer-graded final exam.

### Details:

- Course Length: 1 Semester
- Curriculum Provider: BYU Independent Study
- Prerequisites: High school algebra, plane geometry, and TRIG 041 (Trigonometry 1) or equivalent.
- Required Materials:Aufmann, Barker, and Nation , College Trigonometry, Edition: 6th( 2007, 0-618-82507-X ) $ 147.55 Printed Course PacketTrig 043 – CDs
- Cost of tuition is covered by Provo eSchool.

### Syllabus:

- The Law of Sines and Cosines
- Vectors
- More Trigonometric Functions
- Parabolas and Ellipses
- Hyperbolas and Rotation of Axes
- Polar Coordinates and Parametric Equations
- Exponential Functions and Logarithms
- Logarithmic Functions and Equations