In the classroom, students will participate in class discussions, work in small groups, complete projects, and keep track of their own progress and learning throughout the year. Assignments will focus on the process of solving problems rather than simply finding the answer. Students will reflect on their problem-solving steps through verbal and written presentations. To help students record their understanding and develop their mathematics portfolio students will often provide written explanations of concepts using their own words.
This course prepares students for Algebra. Students develop concepts through investigations, application problems, patterns, group work, and practice exercises. Active participation is essential for success in this mathematics class as well as any class. Online support for the class is available.
This course continues to prepare students for Algebra. Students develop concepts through investigations, application problems, patterns, group work, and practice exercises. Active participation is essential for success in this mathematics class as well as any class. Online support for the class is available.
Students learn beginning Algebra concepts by investigating patterns, using geometric representations, working in small groups, completing projects, and discussing topics as a class. An emphasis is placed on conceptual understanding and supported through activities and practice. Online support for the class is available.
Students expand their knowledge of Algebra with a more in-depth look at algebraic concepts and learn how to use those concepts as a tool to solve more complex problems. Topics build heavily from previous courses and require students to use multiple representations and comparisons. This course contains material extremely important for more advanced mathematic courses and is the minimum required math for college entrance. Beginning Algebra topics are reviewed briefly.
Students develop the mathematical system of geometry and discover the many amazing properties it contains. While learning about the physical concepts in geometry, students will also develop logical/deductive reasoning and proof. The focus will be on Euclidean Geometry, however Non-Euclidean Geometry topics will be discussed.
Trigonometry / Pre-Calculus
Students begin with right triangles to develop the trigonometric ratios and expand on that knowledge to include trigonometric functions, identities, equations, and properties. An emphasis is placed on the geometric representation on concepts and a development from founding definitions. Related trigonometric topics are included and then followed by Pre-Calculus topics and an introduction to Calculus. Students will need a strong understanding of algebraic properties and graphing as well as geometry. After completing this course, students will be well prepared for Calculus.
The study of calculus begins with an intuitive introduction through the examination of graphical problems like the “tangent line problem” and “area under the curve problem.” Other topics such as limits are developed through numerical data analysis. Topics are initially motivated by trying to solve specific conceptual problems and only afterwards do students begin representing concepts algebraically with functions and crunching problems. Once students understand the development of the calculus concepts and attain proficiency in procedural skills, students must use calculus to solve application problems represented verbally. Students must apply their knowledge and respond to these “real-world” examples verbal, illustrating their understanding of what the mathematics represents and symbolizes in the situation by providing justification to their solution (such as in applied max and min word problems, related rates, and exponential and logistic growth models). An emphasis is placed on the connection between all of these representations (graphical, numerical, analytical, and verbal), strengthening students’ understanding of the concepts and ability to apply them.