## Mathematics Courses

*Massachusetts Framework-High School Mathematics(PDF)*UCCI Courses:

**Functional Design Through Algebra**: In this engaging, hands-on course, students will discover the power of mathematical modeling with Algebraic functions. Through a variety of Engineering Design projects, students must utilize functions to optimize the outcome of each challenge. Students will see parallels between the mathematical modeling cycle (top image at right) and the engineering design process (bottom image at right) in each unit. Students will design parachutes, bungee jumps, boats, balloon rockets, a variety of water fountains, and, as a capstone project, a thermally resistant beverage container along with product proposal and pitch. Students will document calculations, graphical relationships, sketches of prototypes and final designs in an engineering notebook that includes summaries of each project and ideas for future redesigns. By building understanding of functions, graphs, equations, and algebraic relationships, students will see how mathematical understanding can verify optimal performance and design in a variety of applications.

(Source: University of California Curriculum Integration Center: http://ucci.ucop.edu/integrated-courses/functional-design-through-algebra.html)

**Geometry + Computer Visualization/Simulation**: This course seeks to introduce students to a range of careers - including software development, computer programming, game design, digital fabrication - and methods that use computers to visualize geometric information necessary for product design. Using applied geometry, students create a final 3D-printed product that demonstrates the key role that geometry plays in a particular industry. Throughout the course, students will integrate geometric principles with computer-based programs and designs while learning to create and work in a technical environment that facilitates workplace efficiency and online communication. Students use information and communication technology (ICT) practices to share their geometry-based findings and projects with each other, their teachers, family and others. Upon completion of this course, students will be familiar with the many ways that computers can be used to simulate and model geometric concepts using computer programming and modeling, simulations and interactions, and three-dimensional printing.

(Source: University of California Curriculum Integration Center: http://ucci.ucop.edu/integrated-courses/geometry-computer-visualization-simulation.html)

**Applied Math and Engineering: Algebra 2 and Trig for Engineers**: This course allows students to apply Advanced Algebra and Geometry skills contained in the traditional Algebra 2/Trig course to the Engineering Design Process: Requirements, Analysis, Design, Build, Validation. Student groups will represent civil engineering firms who receive a Request For Proposal (RFP) from a school district in need of a new 21st Century state-of-the-art high school. Students employ the engineering process to design this high school, considering the parameters and requirements of the district while using math (linear equations and functions, quadratic equations and functions, polynomials, rational and radical functions, exponential and logarithmic functions, statistics and probability, and trigonometry) as a tool to make engineering decisions and complete the projects. Throughout the course, teams will keep an engineering notebook which documents all mathematical calculations, assumptions, notes, preliminary sketches, etc. to provide a “roadmap” of their final design assignment. Project Teams will continuously update their Know/Need To Know Lists Re: the RFP to include new information learned. These revised lists will be used by the teacher as a formative assessment on a recurring basis. The teacher will look for understanding of mathematical concepts as applied to the current engineering process. Upon completion of the course, students will be able to integrate the math topics and concepts with the Engineering Design Process to create a final report and presentation of their high school design aimed at an audience of school board members.

(Source: University of California Curriculum Integration Center: http://ucci.ucop.edu/integrated-courses/applied-math-and-engineering-algebra-and-trig-for-engineers.html)

**Modeling Your World #math #programming**is an Integrated Mathematics and Software Development course that explores the world of computer programming through the mathematical modeling of concepts such as polynomials, logarithms, exponentials, functions, statistics, trigonometry, and rational expressions. Through linking the real-world applicability of project-based learning, such as exponential models based on population growth, students see patterns, test hypotheses, and solve problems. Mathematical modeling is built into the course throughout and reinforced through creating and coding algorithms, teaching students the importance of clarity and precision of language whether they choose to pursue college and career goals in the field of mathematics or computer science. Students will leave this course with not only higher level math skills, but experience in software development. This project-based course features topics ranging from the world of social media to data visualization for disaster planning.

(Source: University of California Curriculum Integration Center: http://ucci.ucop.edu/integrated-courses/modeling-your-world.html)

**Precalculus, AP Calculus AB, and AP Statistics**

(Source: Summit Public Schools, CA: Students will use Summit Public School’s curriculum for Precalculus, Calculus, and Statistics. http://summitbasecamp.org/