CAHS Math Department: (left to right) Ms. Arriaga, Mr. Dorman, and Mr. Hinchcliff
The mission of the mathematics department at Crosswinds Accelerated High School is to prepare our students to become lifelong learners by strengthening their skills to problem solve through reasoning, critical thinking and inquiry. We aim to set our students up for advanced levels of learning by providing them with real-world problems and applications. Our goal is to inspire our students to become better decision makers, while guiding them to understand and appreciate the world via generation of informed decisions. We continuously challenge our students by providing a comprehensive and rigorous curriculum aligned to the Texas TEKS.
Our teachers strive to provide the following:
- Foster a positive learning environment for all students
- Build confidence in student’s ability to problem solve
- Small group instruction and/or individualized guided instruction
- Frequently monitor student performance and give prompt feedback
Courses we offer:
Algebra I provides the foundation concepts for high school mathematics. Students will be introduced to algebraic thinking and will use symbols to study relationships among quantities. They will be introduced to the relationship between equations and functions and will receive the tools for algebraic thinking as well as the training to use technology to model mathematical situations to solve meaningful problems. Foundations will be laid for all functions, with emphasis on linear and quadratic.
Geometry provides an opportunity to do geometric thinking and spatial reasoning. The student will study properties and relationships of all geometric figures relating to zero, one, two, and three dimensions and will be introduced to the relationship between geometry & other mathematics with other disciplines.
Students will build on the knowledge and skills for mathematics in K-8 and Algebra I, continue with the development of mathematical reasoning related to algebraic understandings and processes, and deepen a foundation for studies in subsequent mathematics courses. Studnets will broaden their knowledge of functions and relationships, including linear, quadratic, square root, rational, cubic, cube root, exponential, absolute value, and logarithmic functions. Students will study these functions through analysis and application that includes explorations of patterns and structure, number and algebraic methids, and modeling from data using tools that build to workforce and college readiness such as probes, measurement tools, and software tools, including spreadsheets.
Mathematical Models with Applications
Mathematical Models with Applications is designed to build on the knowledge and skills for mathematics in grades K-8 and Algebra I. This mathematics course provides a path for students to succeed in Algebra II and prepares them for various post-secondary choices. Students learn to apply mathematics through experiences in personal finance, science, engineering, fine arts, and social sciences. Students use algebraic, graphical, and geometric reasoning to recognize patterns and structure, model information, solve problems, and communicate solutions. Students will select from tools such as physical objects; manipulatives; technology, including graphic calculators, data collection devices, and computers; and paper and pencil and methods such as algebraic techniques, geometric reasoning, patterns, and mental math to solve problems.
Financial Mathematics is a CTE 3rd-year math course about personal money management. Students will apply critical thinking skills to analyze personal financial decisions based on current and projected economic factors.
Algebra II allows students to continue to build on the algebraic skills of analysis of data and the foundations of Algebra I. It shows a connection between algebra and geometry and illustrates how the tools of one can be used to solve problems in the other. The course includes in-depth studies and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices.
Advanced Quantitative Reasoning
Students will develop and apply skills necessary for college, careers, and life. Course content consists primarily of applications of high school mathematics concepts to prepare students to become well educated and highly informed 21st-century citizens. Students will develop and apply reasoning, planning, and communication skills to make decisions and solve problems in applied situations involving numerical reasoning, probability, statistical analysis, finance, mathematical selection, and modeling with algebra, geometry, trigonometry, and discrete mathmatics.
Precalculus allows students to continue to build on the mathematical foundations laid in Algebra I, II, and Geometry. Students will use functions, equations, and limits as useful tools for expressing generalizations and as means for analyzing and understanding a broad variety of mathematical relationships. Students are expected to have a good working knowledge of a graphics calculator.