The Fallbrook High School mathematics program strives to challenge, engage, and empower all learners to be lifelong mathematical thinkers.

designed to combine some of the basic principles of Algebra 1, Geometry, and Statistics. Topics include Linear

and Exponential functions, Rigid Transformation and Constructions, Interpreting and Analyzing Univariate and

Bivariate data. The expectation is to develop and maintain a growth mindset for students and teach students

how to learn math in a collaborative process where multiple methods and representations are celebrated. The

Common Core Standards for Mathematical Practices will be addressed throughout the course.

**Mathematics II** is the second in a sequence of three integrated math courses. Successful completion of this course will

prepare students for the rigors of Integrated Math III. The focus of this course is on quadratic expressions, equations, andfunctions, comparing their characteristics and behavior to those of linear and exponential relationships from **Mathematics I** This course includes standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability. 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

(5) establish criteria for similarity of triangles based on dilations and proportional reasoning.

**Integrated Mathematics 2** with Math Analysis is the second course, in a sequence of three, that exposes

students to the rigor and depth of knowledge that is required in higher levels of mathematics such as AP

Calculus and IB math courses. The focus of the Mathematics II with Math Analysis course is on quadratic

expressions, equations, and functions, comparing their characteristics and behavior to those of linear and

exponential relationships from Mathematics I. In addition, this course introduces students to the topic of

Trigonometry and its applications. It includes standards from the conceptual categories of Number and

Quantity, Algebra, Functions, Geometry, and Statistics and Probability. Growth rates of functions will be

analyzed as well as characteristics such as end behavior, asymptotic behavior, and periodic behavior. For the

Mathematics II with Math Analysis course, instructional time should focus on six 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, quadratic, and trigonometric expressions

(4) extend work with probability

(5) establish criteria for similarity of triangles based on dilations and proportional reasoning. (6) extend similarity to trigonometry and the unit circle.

**Integrated Mathematics 3** is the third course, in a sequence of three, that exposes students to the rigor and

depth of knowledge that is required in higher levels of mathematics such as AP Calculus and IB math courses.

For this course, instructional time will focus on the five key areas:

(1) deepen and extend understanding of the use of statistics with identifying different ways of collecting data and the conclusions that can be drawn

(2) apply operations to polynomial functions

(3) solve polynomial, rational, radical and trigonometric functions algebraically and graphically

(4) extend work with function families and the effects of transformations on them

(5) model and solve real world problems that require the use of polynomial, rational, radical, exponential, logarithmic, and trigonometric functions.

rational, and radical functions. They also expand their study of right triangle trigonometry to include general

triangles. And, additionally, students bring together all of their experience with functions and geometry to

create models and solve contextual problems. Finally, they will begin to explore calculus concepts such as

polar and parametric functions and vectors.

the intersection of data analysis, computing, and mathematics through hands-on activities. Data are

everywhere, and this curriculum will help prepare students to live in a world of data. The curriculum focuses

on practical applications of data analysis to give students concrete and applicable skills. Instead of using

small, tailored, curated data sets as in a traditional statistics curriculum, this curriculum engages students with

a wider world of data that fall into the "Big Data" paradigm and are relevant to students' lives. In contrast to

the traditional formula-based approach, in IDS statistical inference is taught algorithmically, using modern

randomization and simulation techniques. Students will learn to find and communicate meaning in data, and

to think critically about arguments based on data.

as either a high school or college student. Applications, problem solving, reasoning, communication, and

technology will be integrated in preparation for calculus. Topics include linear, quadratic, and polynomial

functions, inequalities, graphs and inverses of functions, exponents and logarithms, conic sections,

trigonometric equations and applications, triangle trigonometry, trig addition, double and half-angle formulas,

polar and complex numbers, vectors and determinants, sequences and series, probability, limits, and

introduction to calculus.

independent topics to create a “big picture” of mathematics. Topics include limits, continuity, differentiation

and its applications, integration, differentiation and integration of logarithmic, exponential, and other

transcendental functions, and area and volume found by integration principles. All topics that are found on

the AP Calculus AB exam are covered but, in less depth, and speed than the AP Calculus course.

differential and integral calculus. The AP course covers topics in these areas, including concepts and skills of

limits, derivatives, definite integrals, and the Fundamental Theorem of Calculus. The course teaches students

to approach calculus concepts and problems when they are represented graphically, numerically, analytically,

and verbally, and to make connections amongst these representations. Students learn how to use technology to

help solve problems, experiment, interpret results, and support conclusions. ** This is a weighted course.*

descriptive and introductory inferential statistics; geometry and trigonometry; unit conversion; mathematical

models (linear, quadratic, exponential, and rational); introductory differential calculus; sets, probability, and

logic. The approach taken emphasizes the development of mathematical reasoning skills and the

understanding of fundamental concepts. Most topics are explored in a real-world context. Student’s design

and complete an independent data-based research project which also serves as the internal assessment portion

of their IB grade. Solid algebraic skills and the capacity for independent work are important to a student’s

success.

*This course prepares students for the AP Statistics exam. This is a weighted course.*

topics including descriptive and introductory inferential statistics; geometry and trigonometry; unit

conversion; mathematical models (linear, quadratic, exponential, and rational); introductory differential

calculus; sets, probability, and logic. The approach taken emphasizes the development of mathematical

reasoning skills and the understanding of fundamental concepts. Most topics are explored in a real-world

context. Student’s design and complete an independent data-based research project which also serves as the

internal assessment portion of their IB grade. Solid algebraic skills and the capacity for independent work are

important to a student’s success. ** This is a weighted course.*

topics including descriptive and introductory inferential statistics; geometry and trigonometry; unit

conversion; mathematical models (linear, quadratic, exponential, and rational); introductory differential

calculus; sets, probability, and logic. The approach taken emphasizes the development of mathematical

reasoning skills and the understanding of fundamental concepts. Most topics are explored in a real-world

context. Student’s design and complete an independent data-based research project which also serves as the

internal assessment portion of their IB grade. Solid algebraic skills and the capacity for independent work are

important to a student’s success. This course prepares students for the AP Calculus BC exam. ** This is aweighted course.*

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