# Foothill High

Math Courses

## Integrated Math 1

Integrated Math 1
Prerequisite: None
Integrated Mathematics 1 is the first of a three course sequence that formalizes and extends the mathematics that students learned in the middle grades. CCSS for mathematics has been organized into coherent units to help students see the connections and real applications of the different areas of mathematics. Integrated Mathematics 1 deepens and extends understanding of linear relationships, in part by contrasting them with exponential phenomena, and in part by applying linear models to data that exhibit a linear trend. Integrated Mathematics 1 uses properties and theorems involving congruent figures to deepen and extend understanding of geometric knowledge from prior grades. Units within the course include standards from the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability, and present them in an interconnected and coherent sequence. The Mathematical Practice Standards apply throughout each unit and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

## Integrated Math 2

Integrated Math 2
Prerequisite: Integrated Math 1
Integrated Mathematics 2 is the second of a three course sequence that formalizes and extends the mathematics that students learned in the middle grades. CCSS for mathematics has been organized into coherent units to help students see the connections and real applications of the different areas of mathematics. Integrated Mathematics 2 focuses on quadratic expressions, equations and functions, and on comparing the characteristics and behavior of these expressions, equations, and functions to those of linear and exponential relationships from Mathematics I. The Mathematical Practice Standards apply throughout each unit and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of real world problem situations.

Integrated Math 2 Honors
Prerequisite: Integrated Math 1
Honors Integrated Mathematics 2 is the second of a three course sequence that formalizes and extends mathematics to prepare students for Advanced Placement courses after Honors Integrated Math 3.

## Integrated Math 3

Integrated Math 3
Prerequisite: Integrated Math 2
Integrated Mathematics 3 is the third of a three course sequence that extends the mathematics learned in earlier grades. Students completing Integrated Mathematics 3 will be prepared for a fourth year college preparatory math course. CCSS for mathematics has been organized into coherent units to help students see the connections and real applications of the different areas of mathematics. Integrated Mathematics 3 focuses on extending knowledge of polynomials that culminates in the Fundamental Theorem of Algebra. Students learn that arithmetic of rational expressions has the same rules as the arithmetic of rational numbers. Students synthesize what they learned about a variety of function families and extend work with exponential functions to use of logarithms. They explore the effects of transformations on graphs of diverse functions. Students develop the Laws of Sines and Cosines in order to find missing measures of general triangles. Trigonometry applied beyond the right triangle builds to the idea of radian measure for angles and extend the domain of the trigonometric functions to all real numbers. Students relate to different types of data, probability distributions, and different ways of collecting data from previous courses. Students extend their understanding of modeling in the context of functions, parameters and domains of functions. The Mathematical Practice Standards apply throughout each unit and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of real world problem situations.

Integrated Math 3 Honors
Prerequisite: Integrated Math 2
The Honors Integrated Mathematics pathway is designed for students who have shown they are ready for an advanced course sequence that includes Plus Standards as well as Pre-Calculus Standards. In addition to topics taught in Integrated Mathematics 3, this honors course presents more extensive work in trigonometric functions and identities, inverse functions and representations of functions. Students completing Honors Integrated Mathematics 3 will be prepared for AP Calculus.