**Integrated Math 1**

**Semesters: 2**

**Grade: 9th**

**Prerequisites: None**

This course is designed to meet the expectations called for by the content and practice standards of the Common Core. Students will explore solving and interpreting solutions to equations, inequalities, and systems of equations (2×2) and inequalities; creating functions and/or recursive formulas to model situations; fitting a function to a given set of data; comparing the properties of functions each represented in a different way; understanding the effect of transformations on functions and interpreting key features; creating visual displays and 6 summary statistics to describe data; justifying congruence and similarity between geometric figures based on transformations; using coordinates to prove simple geometric theorems algebraically; and writing proofs of geometric theorems. The focus for functions in Integrated Math 1 is linear and exponential.

**Integrated Math 2**

**Semesters: 2**

**Grade: 9th** –**10th**

**Prerequisites: Integrated Math 1/Placement Test**

This course is designed to meet the expectations called for by the content and practice standards of the Common Core in the areas of algebra, functions, geometry, probability and statistics. Students will explore creating functions and/or recursive formulas to model situations; writing proofs of geometric theorems; justifying congruence and similarity between geometric figures based on transformations; using coordinates to analyze and solve problems involving geometric relationships in the coordinate plane; applying geometric relationships in modeling situations; using trigonometry to solve problems involving right triangles; and using a probability model to mathematically describe and interpret random processes. The focus for functions in Integrated Math 2 is quadratic, absolute value, and piecewise-defined functions.

**Integrated Math **3

**Semesters: 2**

**Grade: 9th** –**11th**

**Prerequisites: Integrated Math 2/Placement Test**

This is a rigorous course that emphasizes abstract and critical thinking in mathematics. The course will complete the study of Geometry – right triangle trigonometry, coordinate geometry and Volume – as well as covering Algebra 2 topics – systems of equations and inequalities in one, two and three variables, rational and radical expressions and equations, equations and slopes of lines and conics, systems of linear and quadratic equations and inequalities including linear programming, second and third degree polynomials, logarithmic and exponential functions, sequences, series. In addition, students will learn modeling with trigonometry, solving trigonometric equations and proving trigonometric identities as well as application of law of sines and cosines.

**Pre-Calculas**

**Semesters: 2**

**Grade: 11th** –**12th**

**Prerequisites: Math 3**

Students will build on Advanced Algebra skills to expand and apply these skills to more complex mathematics including: translations and transformations of functions, composition of functions, trigonometry and modeling trigonometric functions, proof to prove trigonometric identities, function analysis, and application of linear, quadratic and exponential, power, logistic and logarithmic functions. Introduction to rates of change, limits of functions and the development of the derivative. Honors class will cover some of the topics with more detail such as trigonometric identities and proof.

**Probability and Statistics**

**Semesters: 2**

**Grade: 11th** –**12th**

**Prerequisites: Math 3**

This course will prepare the student to understand the use of common descriptive statistics. It will prepare the student to use conventional data interpretation techniques in a variety of academic, business, and social applications. Topics include: an introduction to experiments and surveys, descriptive statistics, probability, probability distribution, normal distribution, and estimation on sample size of means.

**Financial Algebra**

**Semesters: 2**

**Grade: 11th** –**12th**

**Prerequisites: Math 3**

This course explores various aspects of personal financial literacy including Personal Financial Identity, Income, Financial Institutions, Personal Budgets, Investments, and Careers in Finance through the lens of mathematics as called for by the Common Core State Standards and outlined in the Scope & Sequence.

**Math 099* Western Colorado University Course**

**Semesters: 2**

**Grade: 11th** –**12th**

**Prerequisites: Math 3**

Math 099 Basic Algebra Review is offered through the Extended Studies program at Western. Basic Algebra prepares students for MAT 121 (College Algebra) This course is graded Satisfactory/Unsatisfactory.

**Math 099* Western Colorado University Course**

**Semesters: 2**

**Grade: 11th** –**12th**

**Prerequisites: Math 3**

**Math 098* Western Colorado University Course**

**Semesters: 2**

**Grade: 11th** –**12th**

**Prerequisites: Math 3**

Math 098 Beginning Algebra to help students prepare for MAT 105 (Western Course) or MAT 120 (CCD Course), which is Mathematics for Liberal Arts. This course is graded Satisfactory/Unsatisfactory.

**Math 120 *Community College of Denver Course**

**Semesters: **1

**Grade: 11th** –**12th**

Prerequisites: Completion of 098 or SAT Math 500+ OR ACT Math 19+ OR Classic Accuplacer Elementary Algebra score 61+ OR Next Gen Accuplacer QRAS score 240+ OR Grade of B or higher in Int Math 3 and an unweighted GPA of 2.75+.

Highlights connections between mathematics and the society in which we live and is intended for liberal arts majors. Topics include set theory and logic, mathematical modeling, probability and statistical methods, and consumer mathematics. This is a statewide Guaranteed Transfer course in the GT-MA1 category.

**Math 121 *Community College of Denver Course**

**Semesters: **1

**Grade: 11th** –**12th**

Prerequisites: Completion of 099 or SAT Math 500+ OR ACT Math 23+ OR Classic Accuplacer Elementary Algebra score 85+ OR Next Gen Accuplacer QRAS score 245+ OR Grade of B or higher in Int Math 3 and an unweighted GPA of 2.75+.

HFocuses on a variety of functions and the exploration of their graphs. Topics include: equations and inequalities, operations on functions, exponential and logarithmic functions, linear and nonlinear systems, and an introduction to conic sections. This course provides essential skills for Science, Technology, Engineering, and Math (STEM) pathways. This is a statewide Guaranteed Transfer course in the GT-MA1 category.