# Course Descriptions

• Math 6
Prerequisite: Successful completion of MATH 5.

Instructional time should focus on four critical areas:

1. connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems;
2. completing understanding of division of fractions and extending the notion of number to the system of rational numbers, which includes negative numbers;
3. writing, interpreting, and using expressions and equations;
4. developing understanding of statistical thinking. Students in Math 6 also build on their work with area by reasoning about relationships among shapes to determine area, surface area, and volume.

Math 7
Prerequisite: Successful completion of MATH 6.

Instructional time should focus on four critical areas:

1. developing understanding of and applying proportional relationships;
2. developing understanding of operations with rational numbers and working with expressions and linear equations;
3. solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume;
4. drawing inferences about populations based on samples.

Math 8
Prerequisite: Successful completion of MATH 7. Can also be taken concurrently with MATH 7 with acceptance into the accelerated pathway.

Instructional time should focus on three critical areas:

1. formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations;
2. grasping the concept of a function and using functions to describe quantitative relationships;
3. analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem.

Integrated Mathematics I
1 Mathematics credit

Integrated Mathematics I formalizes and extends the mathematics that students learned in the middle grades. The critical areas, organized into units, deepen and extend 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. Students will student functions, equations (linear and exponential), inequalities, and perform geometric constructions. Integrated Mathematics I uses properties of theorems involving congruent figures to deepen and extend understanding of geometric knowledge from prior grades. The final unit in the course ties together the algebraic and geometric ideas studied. The Mathematical Practice Standards together with the content standards provide mathematical experiences in coherent, useful, and logical ways that support students in making sense of problem situations. The critical areas of focus include:

1. Relationships between Quantities
2. Linear and Exponential Relationships
3. Reasoning with Equations
4. Descriptive Statistics
5. Congruence, Proof, and Constructions
6. Connecting Algebra and Geometry through Coordinates
7. Circles

Integrated Mathematics II
1 Mathematics credit
Prerequisite: Credit earned for INTEGRATED MATHEMATICS I or its equivalent

Integrated Mathematics II focuses on quadratic expressions, equations, and functions; comparing their characteristics and behavior to those of linear and exponential relationships from Integrated Mathematics I organized into critical areas or units. The need for extending beyond the set of rational numbers arises and real and complex numbers are introduced so that all quadratic equations can be solved. The link between probability and data is explored through conditional probability and counting methods, including their use in making and evaluating decisions. The study of similarity leads to an understanding of right triangle trigonometry and connects to quadratics through Pythagorean relationships. Circles, with their quadratic representations, round out the course. The Mathematical Practice Standards together with content standards provide mathematical experiences in coherent, useful, and logical ways that support students in making sense of problem situations. The critical areas of focus include:

1. Applications of Probability
2. Expressions and Equations
4. Similarity, RIght Triangle Trigonometry and Proofs
5. Circles with and without Coordinates
6. Extending the Three Dimensions

Integrated Mathematics III
1 Mathematics credit
Prerequisite: Credit earned for INTEGRATED MATHEMATICS II or its equivalent

Integrated Mathematics III provides opportunities to pull together and apply the accumulation of learning from previous mathematics courses, with content grouped into four critical areas, organized into units. Students apply methods from probability and statistics to draw inferences and conclusions from data. They expand their repertoire of functions to include polynomial, rational, and radical functions. The Mathematical Practice Standards together with the content standards provide mathematical experiences in coherent, useful, and logical ways that support students in making sense of problem situations. Students bring together all of their experience with functions and geometry to create models and solve contextual problems. This course meets the requirement of an Algebra II or equivalent credit for graduation. The critical areas of focus include:

1. Inferences and Conclusions from Data
2. Polynomials, Rational and Radical Relationships
3. Trigonometry of General Triangle and Trigononmetric Functions
4. Modeling with Functions

Precalculus
1 Mathematics credit
Prerequisite: Credit earned for INTEGRATED MATHEMATICS III or its equivalent

Precalculus broadens student understanding of functions and fundamental concepts learned in previous math courses. Topics will include: polynomial, power, rational, exponential, piecewise and trigonometric functions; parametric, polar, and trigonometric equations. Using technology and various representations, students will investigate and explore mathematical ideas for analyzing complex situations that make meaningful connections to real world experiences. This course can count as a fourth math credit. 