# Course Descriptions

• * For the 2020-2021 school year, Geometry will be replaced by Integrated Mathematics II.

Courses offered at select schools: Compacted Math 7-8, Quantitative Reasoning, Stats Through Social Justice, AP Statistics, CSCC Int Coll Bridge, IB Courses.
Students can take multiple Math 4 courses (Precalculus, Financial Literacy Math, etc.).
Students can take CCP courses at any time after passing a school's entrance exam.

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. This course can also be taken concurrently with MATH 7 with acceptance into the Middle School Accelerated Mathematics 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.

Compacted Math 7-8
Prerequisite: Acceptance into the Middle School Accelerated Mathematics Pathway.

Students will take a combined Math 7/Math 8 course during one period of the day. Available in select schools.

Integrated Mathematics I (Last offered 2019-2020)
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

Algebra 1 (new 2020-2021)
1 Mathematics credit
Prerequisite: Math 8

Students will study the relationships between quantities, reasoning with equations, linear and exponential relationships, descriptive statistics, and quadratic functions and modeling. Students will create and solve equations, linear inequalities, and systems of equations involving quadratic equations. They will use technology such as Desmos to aid in solving problems. They will use the GAISE model in the context of real-world applications and will interpret arithmetic sequences as linear functions and geometric sequences as exponential functions. They will interpret functions graphically, numerically, symbolically, and verbally while using function notation.

Algebra 1 - Part 1 (new 2020-2021)
1 Mathematics credit
Prerequisite: Math 8

This course is for students taking Algebra 1 over two years. Topics covered year one include expressions and quantities, equations in one variable, relationships and functions, linear and nonlinear functions, creating linear equations and inequalities, and exponents. Students will earn one math credit for this course and one math credit for the next course, Algebra 1 - Part 2.

Integrated Mathematics II (Last offered 2020-2021)
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 - Renamed to Algebra 2
1 Mathematics credit
Prerequisite: Credit earned for INTEGRATED MATHEMATICS II or its equivalent

Integrated Mathematics III / Algebra 2 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 Trigonometric Functions
4. Modeling with Functions

CSCC Integrated College Bridge Math III
1 Mathematics credit
Prerequisite: Credit earned for INTEGRATED MATHEMATICS II or its equivalent plus recommendation of teacher

This year-long course integrates traditional classroom instructional delivery (teacher-directed) with an online digital modularized mastery approach (ALEKS) where students learn with some element of control over time and pacing. Students successfully completing this course are eligible to apply for college-level math coursework through Columbus State Community College. This course enables students to fulfill their Math III requirement and prepares them for possible access to college-level mathematics before graduating high school. Topics studied include equations and Inequalities, linear relations and functions, systems of equations and inequalities, polynomials, and statistics and probability. No college credit is earned for this course.

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.

Financial Literacy Math
1 Mathematics credit
Prerequisite: Credit earned for INTEGRATED MATHEMATICS III or its equivalent

Areas of study taught in Financial Literacy Math include sources of income, budgeting, banking, consumer credit, credit laws and rights, personal bankruptcy, insurance, spending, taxes, investment strategies, savings accounts, mutual funds and the stock market, buying a vehicle, and living independently. This course can count as a fourth math credit.

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

Quantitative Reasoning is designed to promote reasoning, problem-solving and modeling through thematic units focused on mathematical practices, while reinforcing and extending content in Number and Quantity, Algebra, Functions, Statistics and Probability, and Geometry. It is a yearlong ODE pilot course taught using student-centered pedagogy. Teachers will attend professional development sessions during summer and the school year. Available to select schools. This course can count as a fourth math credit.

Stats Through Social Justice
1 Mathematics credit
Prerequisite: Credit earned for INTEGRATED MATHEMATICS III or its equivalent

Using Statistics as a framework, students will explore issues of social, political, and economic injustices within society at large and in their own lives. Opportunities will be provided for students to use mathematics to better understand the cause and effects of these issues as well as opportunities to develop mathematically sound solutions. Students will be guided in understanding their own power as active citizens in building a democratic society and becoming equipped to play an active role using mathematics as a resource. Available in select schools. This course can count as a fourth math credit.

Coming 2021-2022: Geometry

Other courses exist depending upon each school's course offerings. Other courses may include Calculus AB/BC, AP Statistics, IB Math, and courses offered through local colleges.

Updated 7/31/2020