 Azusa High School
 Mathematics
Math Department Courses

Integrated Math I
For the Mathematics I course, instructional time focuses on six critical areas: (1) extend understanding of numerical manipulation to algebraic manipulation; (2) synthesize understanding of function; (3) deepen and extend understanding of linear relationships; (4) apply linear models to data that exhibit a linear trend; (5) establish criteria for congruence based on rigid motions; and (6) apply the Pythagorean Theorem to the coordinate plane.Integrated Math II
For the Mathematics II course, instructional time focuses on five critical areas: (1) extend the laws of exponents to rational exponents; (2) compare key characteristics of quadratic functions with those of linear and exponential functions; (3) create and solve equations and inequalities involving linear, exponential, and quadratic expressions; (4) extend work with probability; and (5) establish criteria for similarity of triangles based on dilations and proportional reasoning.Integrated Math III
For the Mathematics III course, instructional time focuses on four critical areas: (1) apply methods from probability and statistics to draw inferences and conclusions from data; (2) expand understanding of functions to include polynomial, rational, and radical functions; (3) expand right triangle trigonometry to include general triangles; and (4) consolidate functions and geometry to create models and solve contextual problems.Financial Literacy
For the Financial Literacy course, instructional time focuses on the financial applications of algebra including the following: expenses, banking services, credit, automobile ownership, employment, income taxes, independent living, the stock market, business models, retirement plans, and budgeting.Accelerated Integrated Math I
For first semester, the Mathematics I course, instructional time focuses on six critical areas: (1) extend understanding of numerical manipulation to algebraic manipulation; (2) synthesize understanding of function; (3) deepen and extend understanding of linear relationships; (4) apply linear models to data that exhibit a linear trend; (5) establish criteria for congruence based on rigid motions; and (6) apply the Pythagorean Theorem to the coordinate plane.
For second semester, the Mathematics II course, instructional time focuses on three critical areas: (1) compare key characteristics of quadratic functions with those of linear and exponential functions; (2) create and solve equations and inequalities involving linear, exponential, and quadratic expressions; and (3) establish criteria for similarity of triangles based on dilations and proportional reasoning.Accelerated Integrated Math II
For first semester, the Mathematics II course, instructional time focuses on five critical areas: (1) extend the laws of exponents to rational exponents; (2) compare key characteristics of quadratic functions with those of linear and exponential functions; (3) create and solve equations and inequalities involving linear, exponential, and quadratic expressions; (4) extend work with probability; and (5) establish criteria for similarity of triangles based on dilations and proportional reasoning.
For second semester, the Mathematics III course, instructional time focuses on four critical areas: (1) apply methods from probability and statistics to draw inferences and conclusions from data; (2) expand understanding of functions to include polynomial, rational, and radical functions; (3) expand right triangle trigonometry to include general triangles; and (4) consolidate functions and geometry to create models and solve contextual problems.Precalculus
For the Precalculus course, instructional time focuses on trigonometry as well as functions. It covers parent functions, polynomial, rational, exponential, and logarithmic functions. For the second semester the focus is on trigonometry. It covers trigonometric functions as well as analytic trigonometry. Covers linear systems and matrices as well as sequences, series, and probability to prepare for Calculus.AP Statistics (Grade 12)
This course is designed to prepare students by exploring data with graphs and numbers, producing data by designing samples, experiments, and simulations, anticipating patterns by using the concept of probability, and statistical inference, where students make conclusions about parameters of interest. Students who take this course are strongly advised to take the College Board AP Statistics exam.
Prerequisite: Senior level class that requires the successful completion of at least Algebra II with a “C” or better. All students are required to fill out an application along with the teacher recommendation before consideration.AP Calculus (Grade 11/12)
This course prepares students for the AP Calculus AB exam. Its content is equivalent to the first semester of a standard college/university calculus course. The topics covered include limits, continuity, derivatives, integrals, and differential equations. It has rigorous homework demands. This course will prepare students for the AP Calculus AB exam.
Prerequisite: Class requires the successful completion of at least Precalculus or equivalent with a “C” or better. All students are required to fill out an application along with the teacher recommendation before consideration.IB Math Applications & Interpretations SL Year 1 (Grade 11)
IB Math Applications & Interpretations SL Year 1 is the first year of a rigorous twoyear course designed to create a solid mathematical foundation for students who enter the Diploma Programme with varied mathematical backgrounds. It offers students opportunities to gain a substantial amount of understanding of numerous mathematical concepts and topics. In addition, mathematical topics will be expanded upon to include any historical and international connections to ensure students are receiving a global mathematical experience. The IB Math Applications & Interpretations SL course includes the following list of core topics (not necessarily to be taught in this order): 1.) Number and Algebra, 2.) Functions, 3.) Geometry and Trigonometry, 4.) Statistics and Probability, and 5.) Calculus. This meets the UC “C” requirement for Mathematics.
Prerequisite: Successful completion of Integrated Course 2 with a C or better and approval by IB coordinator and guidance counselor.IB Math Applications & Interpretations SL Year 2 (Grade 12)
IB Math Applications & Interpretations SL is the second year of a rigorous twoyear course designed to create a solid mathematical foundation for students who are in the Diploma Programme. It offers students opportunities to gain a substantial amount of understanding of numerous mathematical concepts and topics. In addition, mathematical topics will be expanded upon to include any historical and international connections to ensure students are receiving a global mathematical experience. The IB Math Applications & Interpretations SL course includes the following list of core topics (not necessarily to be taught in this order): 1.) Number and Algebra, 2.) Functions, 3.) Geometry and Trigonometry, 4.) Statistics and Probability, and 5.) Calculus. This meets the UC “C” requirement for Mathematics.
Prerequisite: Successful completion of IB Math Applications & Interpretations Year 1 with a C or better and approval by IB coordinator and guidance counselor.IB Math Analysis & Approaches SL Year 1 (Grade 11)
The IB Mathematics Analysis and Approaches Year 1 Course has been designed for students with a good mathematical background and strong technical and analytical skills. The course will emphasize subject comprehension rather than mathematical rigor and it will provide students the opportunity to apply mathematical techniques correctly into a wide array of realistic problems that will be based on various mathematical concepts such as Functions, Equations, Circular Functions, Algebra, Trigonometry, Statistics, and Probability. Nevertheless, the course will be challenging and will require high levels of mathematical skills as well as effort and commitment. This course will benefit those students who need a solid background in mathematics to prepare for future studies at university with career options in science, business, administration, or economics. This meets the UC “C” requirement for Mathematics.
Prerequisite: Successful completion of Integrated Math III with a C or better and approval by the IB coordinator and guidance counselor.IB Math Analysis & Approaches SL Year 2 (Grade 12)
The IB Mathematics Analysis and Approaches Year 2 Course has been designed for students with a good mathematical background and strong technical and analytical skills. The course will emphasize subject comprehension rather than mathematical rigor and it will provide students the opportunity to apply mathematical techniques correctly into a wide array of realistic problems that will be based on various mathematical concepts such as Multivariate Statistics and Calculus. Nevertheless, the course will be challenging and will require high levels of mathematical skills as well as effort and commitment. This course will benefit those students who need a solid background in mathematics to prepare for future studies at university with career options in science, business, administration, or economics. This meets the UC “C” requirement for Mathematics.
Prerequisite: Successful completion of IB Math Analysis & Approaches SL Year 1 with a C or better and approval by the IB coordinator and guidance counselor.
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