# Integrated Math Overview

### Course Descriptions

## Integrated Math IC -1/2

This year-long course will formalize and extend mathematics that students learned in the middle grades in the five conceptual categories. Specifically, students will focus on the six critical areas of Integrated Math I as identified by the California Department of Education: (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. This course develops strong connections between the content standards and the eight *Standards for Mathematical Practice* as students engage in mathematical tasks. The *Standards for Mathematical Practice* complement the content standards so that students increasingly engage with the subject matter as they grow in mathematical maturity and expertise.

A student who successfully completes this course will enroll in an Integrated Math II course the following year. Successful completion of this course earns GUHSD math credit. This course meets the University of California “c” mathematics requirement.

## Integrated Math IH -1/2

This year-long course will formalize and extend mathematics that students learned in the middle grades in the five conceptual categories. Specifically, students will focus on the six critical areas of Integrated Math I as identified by the California Department of Education: (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. This course develops strong connections between the content standards and the eight *Standards for Mathematical Practice* as students engage in mathematical tasks. The *Standards for Mathematical Practice* complement the content standards so that students increasingly engage with the subject matter as they grow in mathematical maturity and expertise.

**This course will enhance and add depth towards a greater level of rigor for students as compared to Integrated Mathematics 1C.** A student who successfully completes this course will enroll in an Integrated Math II course the following year. Successful completion of this course earns GUHSD math credit. This course meets the University of California “c” mathematics requirement.

## Integrated Math IIC - 1/2 (beginning 2019-2020)

This year-long course will focus on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Integrated Math I. Specifically, students will focus on the five critical areas of Integrated Math II as identified by the California Department of Education:

(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 develops strong connections between the content standards and the eight *Standards for Mathematical Practice* as students engage in mathematical tasks. The *Standards for Mathematical Practice* complement the content standards so that students increasingly engage with the subject matter as they grow in mathematical maturity and expertise.

A student who successfully completes this course will enroll in an Integrated Math III course the following year. Successful completion of this course earns GUHSD math credit. This course meets the University of California “c” mathematics requirement.

## Integrated Math IIH - 1/2 (beginning 2019-2020)

This year-long course will focus on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Integrated Math I. Specifically, students will focus on the five critical areas of Integrated Math II as identified by the California Department of Education:

(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 develops strong connections between the content standards and the eight *Standards for Mathematical Practice* as students engage in mathematical tasks. The *Standards for Mathematical Practice* complement the content standards so that students increasingly engage with the subject matter as they grow in mathematical maturity and expertise.

This course will enhance and add depth towards a greater level of rigor for students as compared to Integrated Mathematics IIC. A student who successfully completes this course will enroll in an Integrated Math III course the following year. Successful completion of this course earns GUHSD math credit. This course meets the University of California “c” mathematics requirement.