# High School: Mathematics

## StrongMind Courses

### Algebra 1A

Students in Algebra 1A begin by looking at the relationships between quantities, and by reasoning with equations. They proceed to study linear and exponential relationships, with the focus in this first course on linear relationships. They also spend some time analyzing descriptive statistics. Algebra 1A represents the first half of first-year algebra aligned to the rigorous standards. Algebra 1A helps students build a strong foundation of traditional algebra concepts. Students will delve deep into algebraic problems and apply their knowledge to real- life situations. In this course, students learn the properties of different forms of linear equations and inequalities and their graphs. Students also learn how to define a function and how to relate linear equations and functions.
Students will solve systems of equations and systems of inequalities and interpret their solutions mathematically and contextually. The course concludes with a study of statistics, which helps students to discover some of the interesting ways that math is used to describe the world. Later, in Algebra 1B, students set the basis for understanding quadratics, as well as learning more about the logical progression of mathematics, which sets the students up for success in Geometry and Algebra 2.

Prerequisites: None

### Algebra 1B

Students in Algebra1B begin by exploring quadratic equations and quadratic functions, and then move on to factoring expressions. Next, they work on exponential functions and their graphs. Students conclude the course by looking at functions that fall into other categories. Algebra 1B is the second half of first-year algebra aligned to the rigorous standards. In this course, students explore the fundamentals of Algebra. Algebra 1B extends students’ algebraic skills and knowledge to five new types of functions: quadratic, exponential, absolute value, piecewise, and step. In this course, students will learn the properties and key features of nonlinear functions, including quadratic functions and exponential functions. Students will identify key features and interpret functions presented as equations, graphs, tables, and verbal descriptions. Emphasis will be placed on how different families of functions compare to one another, and transformations of functions will be performed for all function types presented. The course will conclude with an introduction of “other” functions, including absolute-value
functions, piecewise functions, and step functions.

Prerequisites: Algebra 1A

### Honors Algebra 1A

Students in Algebra 1A begin by looking at the relationships between quantities, and by reasoning with equations. They proceed to study linear and exponential relationships, with the focus in this first course on linear relationships. They also spend some time analyzing descriptive statistics. Algebra 1A represents the first half of first-year algebra aligned to the rigorous standards. Algebra 1A helps students build a strong foundation of traditional algebra concepts. Students will delve deep into algebraic problems and apply their knowledge to real- life situations. In this course, students learn the properties of different forms of linear equations and inequalities and their graphs. Students also learn how to define a function and how to relate linear equations and functions.
Students will solve systems of equations and systems of inequalities and interpret their solutions mathematically and contextually. The course concludes with a study of statistics, which helps students to discover some of the interesting ways that math is used to describe the world. Later, in Algebra 1B, students set the basis for understanding quadratics, as well as learning more about the logical progression of mathematics, which sets the students up for success in Geometry and Algebra 2.

Prerequisites: None

### Honors Algebra 1B

Students in Algebra1B begin by exploring quadratic equations and quadratic functions, and then move on to factoring expressions. Next, they work on exponential functions and their graphs. Students conclude the course by looking at functions that fall into other categories. Algebra 1B is the second half of first-year algebra aligned to the rigorous standards. In this course, students explore the fundamentals of Algebra. Algebra 1B extends students’ algebraic skills and knowledge to five new types of functions: quadratic, exponential, absolute value, piecewise, and step. In this course, students will learn the properties and key features of nonlinear functions, including quadratic functions and exponential functions. Students will identify key features and interpret functions presented as equations, graphs, tables, and verbal descriptions. Emphasis will be placed on how different families of functions compare to one another, and transformations of functions will be performed for all function types presented. The course will conclude with an introduction of “other” functions, including absolute-value
functions, piecewise functions, and step functions.

Prerequisites: Algebra 1A

### Geometry 1A

The content in each lesson of Geometry A is interwoven, in a story-telling style, with the adventures of Geomethor, a superhero who strives to save his world through the use of geometry. Students explore congruence, proofs, and constructions in the first three units before they continue on to study similarity, additional proofs, and trigonometry in the next two units. Students conclude their studies by extending to the third dimension. Geometry A is the first half of the full Geometry course. Students in this course develop a deep understanding of the logical and rigorous proving system of geometry. Students begin by looking at congruence, proofs, and constructions. In doing so, they define and use the basic geometric terms, then advance to proving statements about lines, angles, triangles, and quadrilaterals. Students apply the knowledge they have of planar transformations to learn a formal definition for similarity, and then they use that definition to write proofs and construct figures.

Prerequisites: Algebra 1B

### Geometry 1B

The lessons in Geometry B are all written in a story-telling style, following the adventures of Hypatia, a hero of Geometry, as she helps save her world through the use of Geometry. Students will explore connections between algebra and geometry, through coordinates, circles with and without coordinates, and applications of probability. Geometry B is the second half of the Geometry course. Students will continue to apply the rigorous proofs that were a part of Geometry A as well as look at coordinates and how they can be analyzed to produce certain figures and relationships. Students will start by proving simple geometric theorems algebraically and translating between geometric descriptions and equations of conic sections. Then, students will learn and apply theorems about circles, find arc lengths and areas of sectors, and apply geometric concepts in modeling situations. Finally, students will look at probability and rules of independence and dependence, conditional probability, compound events, and outcomes while also examining probability models. Students will have the opportunity to apply their basic understanding of geometric figures they achieved in middle school mathematics and Geometry A to elements of probability as well as analysis. Students will also incorporate algebraic concepts into formal proof methodology. In so doing, students will be better prepared for the complexity of Algebra 2 and also have a basis for understanding the concepts of Calculus and advanced mathematics.

Prerequisites: Geometry 1A

### Honors Geometry 1A

The content in each lesson of Geometry A is interwoven, in a story-telling style, with the adventures of Geomethor, a superhero who strives to save his world through the use of geometry. Students explore congruence, proofs, and constructions in the first three units before they continue on to study similarity, additional proofs, and trigonometry in the next two units. Students conclude their studies by extending to the third dimension. Geometry A is the first half of the full Geometry course. Students in this course develop a deep understanding of the logical and rigorous proving system of geometry. Students begin by looking at congruence, proofs, and constructions. In doing so, they define and use the basic geometric terms, then advance to proving statements about lines, angles, triangles, and quadrilaterals. Students apply the knowledge they have of planar transformations to learn a formal definition for similarity, and then they use that definition to write proofs and construct figures.

Prerequisites: Algebra 1B

### Honors Geometry 1B

The lessons in Geometry B are all written in a story-telling style, following the adventures of Hypatia, a hero of Geometry, as she helps save her world through the use of Geometry. Students will explore connections between algebra and geometry, through coordinates, circles with and without coordinates, and applications of probability. Geometry B is the second half of the Geometry course. Students will continue to apply the rigorous proofs that were a part of Geometry A as well as look at coordinates and how they can be analyzed to produce certain figures and relationships. Students will start by proving simple geometric theorems algebraically and translating between geometric descriptions and equations of conic sections. Then, students will learn and apply theorems about circles, find arc lengths and areas of sectors, and apply geometric concepts in modeling situations. Finally, students will look at probability and rules of independence and dependence, conditional probability, compound events, and outcomes while also examining probability models. Students will have the opportunity to apply their basic understanding of geometric figures they achieved in middle school mathematics and Geometry A to elements of probability as well as analysis. Students will also incorporate algebraic concepts into formal proof methodology. In so doing, students will be better prepared for the complexity of Algebra 2 and also have a basis for understanding the concepts of Calculus and advanced mathematics.

Prerequisites: Geometry 1A

### Algebra 2A

In this course, you will review and expand on your knowledge of linear, quadratic, and exponential functions, as well as broaden your understanding of polynomial and rational functions. You will work with interactive text, delve into example problems, and watch engaging, instructional videos to enhance your learning.

Prerequisites: Geometry 1B

### Algebra 2B

In this course, you will review and expand on your knowledge of rational and radical equations, graph radical functions, and extend your knowledge of trigonometric functions. You will work with interactive text, delve into example problems, and watch engaging, instructional videos to enhance your learning.

Prerequisites: Algebra 2A

### Honors Algebra 2A

In this course, you will review and expand on your knowledge of linear, quadratic, and exponential functions, as well as broaden your understanding of polynomial and rational functions. You will work with interactive text, delve into example problems, and watch engaging, instructional videos to enhance your learning.

Prerequisites: Geometry 1B

### Honors Algebra 2B

In this course, you will review and expand on your knowledge of rational and radical equations, graph radical functions, and extend your knowledge of trigonometric functions. You will work with interactive text, delve into example problems, and watch engaging, instructional videos to enhance your learning.

Prerequisites: Algebra 2A

### College Mathematics Preparation (1 of 2)

From construction to physics, the concepts in this course are used in a variety of real-world situations. In this course, students use their knowledge about equations and inequalities to model real-life situations. They will expand their skills with regard to solving equations, including how to solve exponential equations with logarithms. They will also synthesize and generalize a variety of function families.

Prerequisites: Algebra 2B

### College Mathematics Preparation (2 of 2)

From construction to physics, the concepts in this course are used in a variety of real-world situations. In this course, students use their knowledge about equations and inequalities to model real-life situations. They will expand their skills with regard to solving equations, including how to solve exponential equations with logarithms. They will also synthesize and generalize a variety of function families.

Prerequisites: College Mathematics Preparation (1 of 2)

### Applied Mathematics

Occupationally Applied Mathematics courses reinforce general mathematics skills, extend these skills to include some pre-algebra and algebra topics, and use these skills primarily in occupational applications. Course topics typically include rational numbers, measurement, basic statistics, ratio and proportion, basic geometry, formulas, and simple equations.

Prerequisites: College Mathematics Preparation (1 of 2)

### Financial Mathematics

Consumer Mathematics courses reinforce general mathematics topics (such as arithmetic using rational numbers, measurement, ratio and proportion, and basic statistics) and apply these skills to consumer problems and situations. Applications typically including budgeting, taxation, credit, banking services, insurance, buying and selling products and services, home and/or car ownership and rental, managing personal income, and investment.