# High School Math Solutions

Carnegie Learning offers both Traditional and Integrated Pathways for High School Mathematics that were written for the Common Core State Standards and the Standards for Mathematical Practice. These courses provide research-based and engaging instruction to ensure all students are college- and career-ready. Customizable Response to Intervention and Spanish modules are also available to meet the needs of all students.

### Traditional Pathway

#### Algebra I

Carnegie Learning Algebra I is a first-year algebra course for students at a variety of ability and grade levels. With this course, students generalize, formalize, and extend the mathematics they learned in the middle grades.

#### Geometry

The Carnegie Learning Geometry course promotes the Standards of Mathematical Practice throughout the lessons and incorporates the van Hiele model of geometric thought, a theory that describes how students learn geometry. The course builds student knowledge on pre-existing number fluency and basic algebra skills such as equation solving.

#### Algebra II

Our Algebra II course continues to develop an understanding of function as an object and will use functions to model phenomena verbally, numerically, graphically, and symbolically while understanding the relationship between the representations and the limitations of each representation. Students will develop fluency in writing, interpreting, and translating between various forms of functions; they will use multiple strategies to solve real-world problems.

### Integrated Pathway

Carnegie Learning Integrated Math I-III is a three-course series that weaves together numeric, algebraic, geometric, and statistical curricula to help students tackle challenging problems using a variety of approaches. It can be implemented with students at a variety of ability and grade levels, and is most typically used in grades 9-12.

#### Integrated Math I

Carnegie Learning Integrate Math I is the first course in the three-course Integrated Math series. With this course, students generalize, formalize, and extend the mathematics they learned in the middle grades. Students practice solving problems and expressing solutions in multiple ways while learning how various mathematics disciplines are connected.

#### Integrated Math II

Integrate Math II is the second course in the three-course Integrated Math series. This course focuses on increasing students’ complete mathematical understanding as they work with geometric relationships, coordinate planes, trigonometric ratios, and quadratic functions.

#### Integrated Math III

Integrate Math III is the final course in the three-course Integrated Math series. With this course, students further explore quadratic functions and extend learning to polynomial functions. Students extend their understanding of arithmetic and geometric sequences to series, and their knowledge of trigonometric ratios to trigonometric functions. Additionally, students explore distributions of data, confidence intervals, and statistical significance.