Math Course Descriptions

Math 7

TEXTBOOK: 

Description of course

Math 8

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Accelerated 8

TEXTBOOK: Integrated Math I. Big Ideas Math

Accelerated Math 8 is an advanced class for students who have demonstrated high levels of proficiency in key Math 7 concepts and standards AND consistent, high levels of work ethic.

The course covers both Math 8 and high school level Integrated Math 1. Students who successfully complete Accelerated Math 8 will receive high school credit. 

Among the key concepts covered are: linear functions; solving multi-step equations, systems of equations, linear inequalities, and Pythagorean theorem. 

Students will engage in the eight Standards for Mathematical Practice, including:  making sense of problems and persevering; attending to precision and modelling with Mathematics. 

More info about the accelerated course requirements.

INTEGRATED MATH  1

TEXTBOOK: Integrated Math I. Big Ideas Math

The purpose of Integrated Math 1 is to develop each student’s ability to think mathematically and conceptually. In this course, students will learn how to analyze and model multiple representations of linear functions, inequalities, and systems. Students will learn how to communicate and make connections in order to understand real world situations and use algebraic reasoning to facilitate deeper learning. Students will also learn about exponential functions and how to compare and contrast them with linear functions. Linear and exponential concepts will also be used to identify and create arithmetic and geometric sequences. In addition, students will learn how to apply geometric reasoning with respect to transformations, constructions, and coordinate proofs.This course meets the UC/CSU a-g requirements in the following category: (c) – Mathematics. Minimum Course Requirement for 9th and 10th Grade Students

INTEGRATED MATH 2 / INTEGRATED MATH 2 HONORS*

TEXTBOOK: Integrated Math II. Big Ideas Math

The focus of the Mathematics II course is on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Mathematics I. Students will expand their experience with functions to include more specialized functions such as absolute value, step, and functions that are piecewise-defined. For the Mathematics II course, instructional time should focus 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.This course meets the UC/CSU a-g requirements in the following category: (c) – Mathematics. Prerequisite INTEGRATED MATH 2: C or better in both semesters of Integrated Math l.

INTEGRATED MATH 3 / INTEGRATED MATH 3 HONORS*

TEXTBOOK: Integrated Math III. Big Ideas Math

The focus of the Mathematics III course is extending the notion of functions to encompass polynomial functions, rational functions, radical and other inverse functions, logarithmic and exponential functions. Students will expand their experience with functions to include more specialized functions such as the trigonometric functions. For the Mathematics III course, instructional time should focus on four critical areas: (1) extend the understanding of angles to the unit circle and the graphs of the six trigonometric functions; (2) compare key characteristics of inverse functions (radical and logarithmic and inverse trigonometric), rational functions polynomial functions and cyclical functions with quadratic functions and linear and exponential functions; (3) create and solve equations that involve rational expressions, polynomial expressions, logarithmic or exponential as well as trigonometric expressions; (4) extend work with probability to discuss the normal curve. This course meets the UC/CSU a-g requirements in the following category: (c) – Mathematics. 

BUSINESS MATH

TEXTBOOK: Mathematics with Business Applications, Glencoe

This class covers personal finance and business math. In personal finance the following topics are covered: gross income, net income, checking and savings accounts, cash and credit accounts, loans, transportation costs, housing costs, insurance and investments. Business math covers the following topics: personnel, production, purchasing, sales, marketing, warehousing, and distributing, services, accounting, financial management and corporate planning. Prerequisite: Students must have completed Algebra 1/Integrated Math 1, attempted Integrated Math 2 and be a senior; please see the Progression Chart.

STATISTICS

TEXTBOOK: Elementary Statistics, 7th edition Larson, Farber Pearson

This course provides an introduction to statistics. In addition to learning how to apply statistical procedures, this course explains how to meaningfully describe real sets of data, what the results of statistical tests mean in terms of their practical applications, and how to evaluate the validity of the assumptions behind statistical tests. Topics included are mean, standard deviation, variance, probability, random variables, binomial probability distribution, normal probability distribution, central limit theorem, testing hypotheses, confidence intervals, linear regression, and linear correlation. This course meets the UC/CSU a-g requirements in the following category: (c) – Mathematics.

AP PRECALCULUS

TEXTBOOK: Precalculus, 11th ed Michael Sullivan Pearson

This course is for ALL STUDENTS who have completed Math 3 or its equivalent. 

The AP Program convened college faculty to build a precalculus course that invites a diverse group of students to prepare for college mathematics, encourages more students to complete four years of mathematics in high school, and improves student readiness to succeed in STEM courses and majors in college. 

Students explore everyday situations and phenomena using mathematical tools and lenses. Through regular practice, students build deep mastery of modeling and functions, and they examine scenarios through multiple representations. They will learn how to observe, explore, and build mathematical meaning from dynamic systems, an important practice for thriving in an ever-changing world. 

This course meets the UC/CSU a-g requirements in the following category: (c) – Mathematics. 

AP CALCULUS AB

TEXTBOOK: Calculus for AP, 2nd ed. Larson, Barraglia Cengage Learning

Students will study important concepts in calculus, including differentiation, exponential and logarithmic functions, applications, differential equations, functions of several variables and circular functions. Successful completion of this course prepares students to take the Advanced Placement Calculus AB exam for college credit. This course meets the UC/CSU a-g requirements in the following category: (c) – Mathematics. Prerequisite: B or better second semester of Math Analysis Honors, or teacher recommendation. 

AP CALCULUS BC

TEXTBOOK: Calculus for AP, 2nd ed. Larson, Barraglia Cengage Learning

Students will study important concepts in Calculus, including differentiation, integration, exponential and logarithmic functions, applications, differential equations, functions of several variables, circular functions, infinite series, and parametric, vector, and polar functions. Successful completion of this course prepares students to take the AP Calculus BC exam. This course meets the UC/CSU a-g requirements in the following category: (c) – Mathematics. Prerequisite: A score of 3 or better on the AP Calculus AB exam.