# Online Mathematics Classes

- Math Foundations II A & B
- Intro to Algebra A & B
- Algebra A & B*
- Algebra 2 A & B*
- Geometry A & B*
- Consumer Math
- Financial Literacy A & B
- Probability & Statistics
- Precalculus A & B

* Honors Versions may be available upon request.

#### Math Foundations II A & B

- Math Foundations II
- Prerequisites: None
- Length: Two semesters
- View Course Syllabus

Based on the NCTM Curricular Focal Points, Math Foundations II is designed to expedite student progress in acquiring 6th- to 8th-grade skills. The course is appropriate for use as remediation at the high school level or as middle school curriculum. The program simultaneously builds the computational skills and conceptual understanding needed to undertake high school-level math courses with confidence.

The course’s carefully paced, guided instruction is accompanied by interactive practice that is engaging and accessible. Formative assessments help students to understand areas of weakness and improve performance, while summative assessments chart progress and skill development. Early in the course, students develop general strategies for honing their problem-solving skills. Subsequent units provide a problem-solving strand that asks students to practice applying specific math skills to a variety of real-world contexts.

This course is built to state standards and informed by the National Council of Teachers of Math (NCTM) standards and Curricular Focal Points for Prekindergarten through Grade 8 Mathematics: A Quest for Coherence.

#### >Intro to Algebra A & B

- Pre-Algebra
- Prerequisites: None
- Length: Two semesters
- View Course Syllabus

Pre-Algebra provides a curriculum focused on foundational concepts that prepare students for success in Algebra I. Through a “Discovery-Confirmation-Practice”-based exploration of basic concepts, students are challenged to work toward a mastery of computational skills, to deepen their understanding of key ideas and solution strategies, and to extend their knowledge through a variety of problem-solving applications.

Course topics include integers; the language of algebra; solving equations with addition, subtraction, multiplication, and division; fractions and decimals; measurement; exponents; solving equations with roots and powers; multi-step equations; and linear equations.

Within each Pre-Algebra lesson, students are supplied with a scaffolded note-taking guide, called a Study Sheet, as well as a post-study Checkup activity that provides them the opportunity to hone their computational skills by working through a low-stakes, 10-question problem set before starting formal assessment. Unit-level Introductory Algebra assessments include a computer-scored test and a scaffolded, teacher-scored test.

The course is built to state standards and informed by the National Council of Teachers of Mathematics (NCTM).

#### Intro to Algebra A & B

- California Algebra I A & B
- Prerequisites: Introductory or Pre-Algebra
- Length: Four Semesters
- Syllabus Part A, Syllabus Part B

Algebra 1A and 1B address the need for an expanded, two-year treatment of traditional high school Algebra I curriculum. Focusing on review of pre-algebra skills and introductory algebra content, Algebra 1A allows students to deepen their understanding of real numbers in their various forms and then extend their knowledge to linear equations in one and two variables. Course topics include integers; the language of algebra; fractions and decimals; exponents; solving equations with four basic operations; solving equations with roots, powers, or multiple steps; functions; and linear equations.

Both Algebra 1A and 1B feature ample opportunity for students to hone their computational skills by working through practice problem sets before moving on to formal assessment.

When used together, Algebra 1A and Algebra 1B meet California’s Algebra I Mathematics Content Standards.

#### Algebra A & B

- Algebra I
- Prerequisites: Math 8 or Pre-Algebra
- Length: Two semesters
- View Course Syllabus

Algebra I builds students’ command of linear, quadratic, and exponential relationships. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations.

Course topics include problem-solving with basic equations and formulas; an introduction to functions and problem solving; linear equations and systems of linear equations; exponents and exponential functions; sequences and functions; descriptive statistics; polynomials and factoring; quadratic equations and functions; and function transformations and inverses.

This course supports students as they develop computational fluency, deepen conceptual understanding, and apply mathematical knowledge. Students discover new concepts through guided instruction and confirm their understanding in an interactive, feedback-rich environment.

A variety of activities allow for students to think mathematically in a variety of scenarios and tasks. In Discussions, students exchange and explain their mathematical ideas. Modeling activities ask them to analyze real-world scenarios and mathematical concepts. Journaling activities have students reason abstractly and quantitatively, construct arguments, critique reasoning, and communicate precisely. And in Performance Tasks, students synthesize their knowledge in novel, real-world scenarios, make sense of multifaceted problems, and persevere in solving them.

This course is built to state standards. Throughout the course, students are evaluated by a variety of assessments designed to prepare them for the content, form, and depth of state exams.

#### Algebra 2 A & B

- Algebra II
- Prerequisites: Algebra I
- Recommended Materials: TI-84 Plus, TI-83, or TI-83 Plus Calculator
- Length: Two semesters
- View Course Syllabus

Algebra II introduces students to advanced functions, with a focus on developing a strong conceptual grasp of the expressions that define them. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations.

Course topics include quadratic equations; polynomial functions; rational expressions and equations; radical expressions and equations; exponential and logarithmic functions; trigonometric identities and functions; modeling with functions; probability and inferential statistics; probability distributions; and sample distributions and confidence intervals.

This course supports all students as they develop computational fluency and deepen conceptual understanding. Students begin each lesson by discovering new concepts through guided instruction, and then confirm their understanding in an interactive, feedback-rich environment. Modeling activities equip students with tools for analyzing a variety of real-world scenarios and mathematical ideas. Journaling activities allow students to reason abstractly and quantitatively, construct arguments, critique reasoning, and communicate precisely. Performance tasks prepare students to synthesize their knowledge in novel, real-world scenarios and require that they make sense of multifaceted problems and persevere in solving them.

This course is built to state standards.

#### Geometry A & B

- Geometry
- Prerequisites: Algebra I
- Length: Two semesters
- View Course Syllabus

Geometry builds upon students’ command of geometric relationships and formulating mathematical arguments. Students learn through discovery and application, developing the skills they need to break down complex challenges and demonstrate their knowledge in new situations.

Course topics include reasoning, proof, and the creation of sound mathematical arguments; points, lines, and angles; triangles and trigonometry; quadrilaterals and other polygons; circles; congruence, similarity, transformations, and constructions; coordinate geometry; three-dimensional solids; and applications of probability.

This course supports all students as they develop computational fluency and deepen conceptual understanding. Students begin each lesson by discovering new concepts through guided instruction, and then confirm their understanding in an interactive, feedback-rich environment. Modeling activities equip students with tools for analyzing a variety of real-world scenarios and mathematical ideas. Journaling activities allow students to reason abstractly and quantitatively, construct arguments, critique reasoning, and communicate precisely. Performance tasks prepare students to synthesize their knowledge in novel, real-world scenarios and require that they make sense of multifaceted problems and persevere in solving them.

This course is built to state standards.

#### Consumer Math

- Consumer Math
- Prerequisites: Introductory Algebra or equivalent
- Length: One semester
- View Course Syllabus

This course is built to state standards as they apply to Consumer Math and adheres to the National Council of Teachers of Mathematics’ (NCTM) Problem Solving, Communication, Reasoning, and Mathematical Connections Process standards.

No required or optional materials.

Financial Literacy A & B

- Financial Algebra
- Prerequisites:Algebra 1 and Geometry or their equivalents
- Length: Two semesters
- View Course Syllabus

**Required Course Materials:**

- TI-84 Plus, TI-83, or TI-83 Plus Calculator

#### Probability & Statistics

- Statistics and Probability
- Prerequisites: Algebra I
- Length: One semester
- View Course Syllabus

Statistics and Probability provides a curriculum focused on understanding key data analysis and probabilistic concepts, calculations, and relevance to real-world applications. Through a “Discovery-Confirmation-Practice”-based exploration of each concept, students are challenged to work toward a mastery of computational skills, deepen their understanding of key ideas and solution strategies, and extend their knowledge through a variety of problem-solving applications.

Course topics include types of data; common methods used to collect data; and the various representations of data, including histograms, bar graphs, box plots, and scatterplots. Students learn to work with data by analyzing and employing methods of prediction, specifically involving samples and populations, distributions, summary statistics, regression analysis, transformations, simulations, and inference.

Ideas involving probability — including sample space, empirical and theoretical probability, expected value, and independent and compound events — are covered as students explore the relationship between probability and data analysis. The basic connection between geometry and probability is also explored.

The course is built to state standards and the National Council of Teachers of Mathematics (NCTM) standards.

#### Precalculus A & B

- Precalculus A & B
- Prerequisites: Algebra 2 & Geometry
- Required Materials: TI-84 Plus, TI-83, or TI-83 Plus Calculator
- Length: Two semesters
- View Course Syllabus

Precalculus is a course that combines reviews of algebra, geometry, and functions into a preparatory course for calculus. The course focuses on the mastery of critical skills and exposure to new skills necessary for success in subsequent math courses. The first semester includes linear, quadratic, exponential, logarithmic, radical, polynomial, and rational functions; systems of equations; and conic sections. The second semester covers trigonometric ratios and functions; inverse trigonometric functions; applications of trigonometry, including vectors and laws of cosine and sine; polar functions and notation; and arithmetic of complex numbers.

Within each Precalculus lesson, students are supplied with a post-study Checkup activity that provides them the opportunity to hone their computational skills by working through a low-stakes problem set before moving on to formal assessment. Unit-level Precalculus assessments include a computer-scored test and a scaffolded, teacher-scored test.

The course is built to state standards and the National Council of Teachers of Mathematics (NCTM) standards.

**Required Course Materials:**

- TI-84 Plus, TI-83, or TI-83 Plus Calculator

Read the “Graphing Calculators” section in the course Appendix A: Student Resources and chapter 1 in the TI Guidebook before the course starts.