Mathematics

The Mathematics Department courses provide a sound analytical foundation for citizenship, college and the workplace. The Math Department provides the skills and experiences necessary for students to be computationally competent and mathematically powerful. The standards call for learning mathematical content in the context of real-world situations, using mathematics to solve problems, and developing “habits of mind” that foster mastery of mathematics content as well as mathematical understanding.

The California Common Core State Standards for Mathematics (CA CCSSM)

Common Core Standards reflect the importance of focus, coherence, and rigor as the guiding principles for mathematics instruction and learning. California’s implementation of the CA CCSSM demonstrates a commitment to providing a world-class education for all students that supports college and career readiness and the knowledge and skills necessary to fully participate in the twenty-first-century global economy.

Integrated Math Pathway

The Bellflower Unified School District is proud to offer an integrated math sequence to present the new California Common Core Standards (CA CCSSM). The Integrated Math sequence was designed to optimize the organization of the new standards into a more natural and coherent order. For example, students will receive instruction in Algebra every year. The Integrated Math Pathway consists of three courses (IM 1, IM 2, and IM3) that has replaced the traditional sequence (Algebra 1, Geometry, and Algebra 2). The three courses (as a package) are equivalent to the conventional courses (Algebra I, Geometry & Algebra II). We believe that the integrated approach to teaching and learning math will be beneficial to students. It will allow them to see mathematics as more relevant to their lives and enjoy a higher probability of success on standardized tests and be college and career ready. The integrated sequence was phased in one course at a time, beginning with Integrated Math I, over a three-year period, beginning with the 2015-2016 school year. The Integrated Mathematics pathway has now been fully implemented.

INTEGRATED MATH 1

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 9^th and 10^th Grade Students

INTEGRATED MATH 2/INTEGRATED MATH 2 HONORS*

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. Prerequisite INTEGRATED MATH 2 Honors: Grade of “A” in Integrated Math l and/or teacher recommendation.

INTEGRATED MATH 3/INTEGRATED MATH 3 HONORS*

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. Prerequisite INTEGRATED MATH III: “C” or better in both semesters of Integrated Math II. Prerequisite INTEGRATED MATH III Honors: “B” or better in Integrated Math II Honors OR teacher recommendation.

MATH ANALYSIS

Students will study circular and right triangle trigonometry, as well as be introduced to new concepts in number field, analytic geometry, functions, sequences, series, inverse relations and polar coordinates. Students will broaden their basic knowledge of trigonometry by working with more advanced identities, law of sines and cosines, and trigonometric equations. Graphing calculators are strongly recommended. This course meets the UC/CSU a-g requirements in the following category: (c) – Mathematics. Prerequisite: C or better second semester of Integrated Math III.

MATH ANALYSIS HONORS

This course will take the Math Analysis curriculum and explore it at a much greater breadth and depth, moving at a much faster pace. In addition to the regular Math Analysis curriculum, students will learn some Calculus topics including finding limits graphically and numerically, continuity, one sided limits, infinite limits, derivatives, tangent line problems, differential rules, and the chain rule. This course meets the UC/CSU a-g requirements in the following category: (c) – Mathematics. Prerequisite: B or better both semesters of Integrated Math III recommended.

AP CALCULUS AB

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

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.

BUSINESS MATH

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. Open to incoming Seniors ONLY

STATISTICS

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. Prerequisite: C or better second semester of Integrated Math 3; Open to incoming Seniors only.

2021-22 BHS Math Pathways.mp4

Information on Math Pathways

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