Mathematics

AP CALCULUS AB

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 anti-differentiation 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.

Grade Level: 10th-12th           Course is UC/CSU-c approved

Prerequisites: Students must have earned a “C” or higher in Trig/Pre-Calculus CP

COURSE 1 CP

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.  

Course is UC/CSU-c approved

COURSE 2 CP

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. 

Course is UC/CSU-c approved

COURSE 3 CP

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. Topics covered include exponential and trigonometric functions, probability and statistics etc. Students will continue to work with the 8 mathematical practices.

Course is UC/CSU-c approved

EXPLORATIONS IN DATA SCIENCE CP

This curriculum will introduce students to the main ideas in data science through tools such as Google Sheets, Python, Data Commons and Tableau.  Students will learn to be data explorers in project-based units, through which they will develop their understanding of data analysis, sampling, correlation/causation, bias and uncertainty, probability, modeling with data, making and evaluating data-based arguments, the power of data in society, and more.  At the end of the course, students will have a portfolio of their data science work to showcase their newly developed abilities.  The course has received A-G approval in California, so it can be taken as an alternative to Math Course 3 (Algebra 2) or in addition to it.  It can also lead to a pathway in calculus, statistics, data science and other STEM subjects.

Grade Level: 10th-12th           Course is UC/CSU-c approved

Prerequisites: Students must have completed Math Course 1 and Math Course 2 or equivalent courses, prior to enrolling in Data Science

STATISTICS CP 

This course is an introduction to the study of probability and statistics with a focus in 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.

Grade Level: 10th-12th           Course is UC/CSU-c approved

Prerequisites: Students must have earned a “D” or higher in Algebra II, Math Course 3 CP, Explorations in Data Science, or higher math course

TRIG/PRE-CALCULUS CP 

Math Analysis with Trigonometry is designed to cover the trigonometric functions and their relationships by the circular approach and by the triangular approach. Students will also work with the exponential and logarithmic functions, sequences and series, vectors, parametrics and polar coordinates, and limits. This course serves as the prerequisite for AP Calculus.

Grade Level: 10th-12th           Course is UC/CSU-c approved

Prerequisites: Students must have earned a “C” or higher in Algebra II CP, or Math Course 3 CP