This course is built to the National Council of Teachers of Math (NCTM) April 2006 publication, Curricular Focal Points for Prekindergarten through Grade 8 Mathematics: A Quest for Coherence, and is aligned with state standards.

### Online Mathematics Classes

* Honors and Literacy Advantage Versions may be available upon request.

#### Math Foundations II A & B

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

#### Intro to Algebra A & B

- Introductory Algebra
- Prerequisites: None
- Length: Two semesters
- Link to Syllabus

Introductory 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 Introductory 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.

To assist students for whom language presents a barrier to learning or who are not reading at grade level, Introductory Algebra includes audio resources in both Spanish and English.

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

#### Two Year Algebra A & B

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

California’s Algebra I-A and I-B courses 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 I-A 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.

Algebra I-A features ample opportunity for students to hone their computational skills by working through practice problem sets before moving on to formal assessment.

To assist students for whom language presents a barrier to learning or who are not reading at grade level, Algebra I-A includes audio resources in both Spanish and English.

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

#### Algebra A & B

- Algebra I
- Prerequisites: Introductory or Pre-Algebra
- Length: Two semesters
- Link to Syllabus

Algebra I is a comprehensive course that provides an in-depth exploration of key algebraic concepts. Through a “Discovery-Confirmation-Practice”-based exploration of these 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 in a variety of problem-solving applications.

Course topics include an Introductory Algebra review; measurement; an introduction to functions; problem solving with functions; graphing; linear equations and systems of linear equations; polynomials and factoring; and data analysis and probability.

Within each Algebra I lesson, students are supplied with a post-study Checkup activity that provides them the opportunity to hone their computational skills in a low-stakes, 10-question problem set before moving on to a formal assessment. Additionally, many Algebra I lessons include interactive-tool-based exercises and math explorations to further connect lesson concepts to a variety of real-world contexts.

To assist students for whom language presents a barrier to learning, this course includes audio resources in both Spanish and English.

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

#### 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.

#### Geometry A & B

- Geometry
- Prerequisites: Algebra I
- Length: Two semesters
- Link to 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.

#### No required or optional materials.

#### Consumer Math A & B

- Mathematics of Personal Finance
- Prerequisites: Algebra II
- Length: Two semesters
- View Course Syllabus

**Semesters 1 and 2: Required**

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

#### Financial Literacy A & B

- Financial Literacy
- Prerequisites: Introductory Algebra or equivalent
- Length: Two semesters
- View Course Syllabus

#### Probability & Statistics

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

Probability and Statistics 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.

To assist students for whom language presents a barrier to learning or who are not reading at grade level, Probability and Statistics includes audio resources in English.

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

**Semesters 1 and 2: Required**

- 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.