• ## All Math Courses

#### Math Course 1

 Grades Credit 9 5 credits per semester Meets UC/CSU requirement “c”

Math Course 1 is an integrated curriculum modeled on the international math pathway and is the first course in the JUHSD’s three year college prep math sequence.  It is A-G approved and aligned to meet Common Core content standards and mathematical practices. Math Course 1 will primarily focus on five main topics: Number and Quantity, Algebra, Functions, Geometry, and Statistics with probability. In the Algebra units, instructional time will focus on (1) Seeing Structure in Expression, (2) Creating Equations, and (3) Reasoning with Equations and Inequalities. In the Functions units, this course will (1) Interpret Functions, (2) Build Functions, and (3) Compare and Contrast Linear, Quadratic, and Exponential Models. In the Geometry units, the focus will be on (1) Congruence and (2) Expressing Geometric Properties with Equations. In the Statistics and Probability units, the concentration will be on Interpreting Categorical and Quantitative Data.

#### Math Course 2

 Grades Credit 9-10 5 credits per semester Meets UC/CSU requirement “c”

Math Course 2 is an integrated curriculum modeled on the international math pathway and is the second course in the JUHSD’s three year college prep math sequence.  It is A-G approved and aligned to meet Common Core content standards and mathematical practices. Math Course 2 will primarily focus on three main topics: Quadratic functions and equations, Geometry and probability.  In the quadratic units, instructional time will focus on (1) Modeling with quadratic functions and (2) solving quadratic equations.  The geometry units will cover (1) coordinate geometry (2) Similarity and (3) geometric modeling.  The probability unit will leave students with the ability to (1) describe events as subsets of a sample space (2) understand how two events A and B are independent, and (3) calculate conditional probabilities.

#### Math Course 3

 Grades Credit 10-12 5 credits per semester Meets UC/CSU requirement “c”

Math Course 3 is an integrated curriculum modeled on the international math pathway and is the third course in the JUHSD’s three year college prep math sequence.  It is A-G approved and aligned to meet Common Core content standards and mathematical practices. Math Course 3 will primarily focus on the following three topics: Trigonometry, Functions and Statistics.  Trig units include using right triangle geometry to define sine, cosine and tangent functions and includes graphing/modeling with the resulting functions.  Functions units include exploring functions as objects with specific properties as well as methods of solving Rational, exponential and transcendental Functions.  Also, quadratic functions are used to model the relationship between two values. The statistics unit addresses making inferences from a random sample, recognizing differences among sample surveys, using data to estimate a population or compare two treatments and calculating and using the mean and standard deviation from a data set.  Course three also addresses geometric measurement and dimension.

#### Statistics

 Grades Credit 11-12 5 credits per semester Meets UC/CSU requirement “c” Prerequisite: completion of Math Course 3

This course is an introduction to the study of probability and statistics with a focus on the analysis, interpretation and presentation of data. Students will study and understand the relationship of, and difference between coloration and causality.  Mastery of this academic content will provide students with a solid foundation in statistical analysis and facility in processing statistical information.

#### Trigonometry/PreCalculus

 Grades Credit 11-12 5 credits per semester Meets UC/CSU requirement “c” Prerequisite: pass Math Course 3 with a C or better.

Precalculus covers college level Algebra and Trigonometry and is designed to prepare students for the study of Calculus.  It focuses on understanding, solving and graphing trigonometric functions, their inverses and identities.  Algebra topics include work with exponential and logarithmic functions, sequences and series, vectors, parametric equations, polar coordinates, and the exploration limits.

#### AP® Calculus AB

 Grades Credit 11-12 5 credits per semester Meets UC/CSU requirement “c” Prerequisites: pass Precalculus and Trigonometry with a C or better

This course is the equivalent to the first semester of a college-level calculus course. Topics include Asymptotic and unbounded behavior, continuity as a property of functions, The derivative at a point and as a function, second derivatives with applications, properties of definite integrals with applications to modeling physical, biological, or economic situations, techniques of antidifferentiation including applications and numerical approximations to definite integrals and finally the Fundamental Theorem of Calculus. Students who successfully complete the course and take the AP exam may receive credit for the first semester of college calculus.