Math 1, 2, & 3

Math 1

Math 1 is a college-prep math course that is a graduation requirement at Santa Teresa High School. This full-year course covers the Common Core State Standards for Math 1, which includes standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability.

The fundamental purpose of the Mathematics I course is to formalize and extend the mathematics that students learned in the middle grades. Through this course, students will deepen their understanding of fundamental mathematical concepts and develop the skills necessary to apply those concepts to real-world problems.

Instructional time will focus on six critical areas:

Extend understanding of numerical manipulation to algebraic manipulation.

Synthesize understanding of function.

Deepen and extend understanding of linear relationships.

Apply linear models to data that exhibit a linear trend.

Establish criteria for congruence based on rigid motions.

Apply the Pythagorean Theorem to the coordinate plane.

Throughout the course, students will engage in a variety of activities to help them develop their understanding of these critical areas. These activities may include problem-solving, collaborative work, and the use of technology. Students will also have the opportunity to practice and develop their skills through regular 

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Math 2

Math 2 is a comprehensive course that covers a range of mathematical concepts and skills. In the first semester (Fall), students will learn about the transformation of various functions, including absolute value, piecewise, inverse, and quadratic functions. They will also learn how to write and evaluate the nth root of a number using the rules of exponents. Students will be able to construct and compare linear, quadratic, and exponential models to solve real-world problems.

In addition, the course will focus on quadratic functions, covering various concepts such as polynomial operations, factoring, solving by factoring, completing the square, and quadratic formula. Students will also learn about vertex, intercept, and standard forms, complex numbers, and systems and inequalities. The course will emphasize the application of theoretical and experimental probabilities, independent and dependent events, conditional probabilities, and relative and conditional relative frequencies.

The second semester (Spring) will focus on applying basic concepts, academic language, and formulas, including relationships with triangles, proofs, definitions and proofs of quadrilaterals, similar polygons, dilation and scale factors, proportionality, right triangles, and trigonometry. The Pythagorean Theorem and triples, triangle inequalities, special right triangles, and trigonometric ratios will also be covered. Moreover, the course will delve into circles, inscribed angles, radii and chords, inscribed and circumscribed circles of a triangle, and arc length and areas of sector. Finally, students will learn about area and volume.

Overall, this course is designed to help students develop critical thinking, problem-solving, and analytical skills while enhancing their understanding of mathematical concepts. The course will utilize a combination of lectures, class discussions, and hands-on activities to help students achieve their learning objectives. By the end of the course, students will have a firm grasp of the concepts and skills covered, preparing them for future academic and professional pursuits.

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Math 3

In Math 3 - Functions and Graphs, students will develop a deeper understanding of functions and their graphs. The course is divided into two semesters. In the first semester, students will focus on quadratic functions, polynomial functions, and rational functions. They will learn how to graph these functions and apply various transformations to them. Students will also review linear and quadratic functions and learn operations, zeros, and factors of polynomial functions.

In the second semester, students will learn about radical functions, inverse functions, logarithmic and exponential functions, and sequences and series. They will study the behavior of these functions and learn how to simplify and transform them. Students will also learn how to apply the unit circle and trigonometric identities to solve problems.

Throughout the course, students will utilize a variety of techniques to understand the concepts and solve problems. They will participate in class discussions, individual and group activities, and homework assignments. Students will also be expected to demonstrate their understanding through quizzes and exams.

By the end of the course, students will have a solid foundation in functions and graphs and be able to apply these concepts to real-world problems. They will be equipped with the skills to continue their math education and succeed in future courses.

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