# Mathematics

### Math Lead Teacher

#### Mrs. Heather Raulli

The CCSD Math department provides students with a comprehensive and rigorous understanding of mathematics enabling them to communicate and connect to the world around them. All students will be empowered and equipped to problem-solve and use the tools of mathematics, challenge them to think for themselves and engage in a purposeful community of learning to build and innovate their future world.

### Middle School Math

## Math 6

**Topics Covered**

*Review of Basic computation *

- Unit 1 – Whole Numbers and Decimals
- Unit 2 – Data and Graph
- Unit 3 – Patterns and Variables
- Unit 4 – Number Theory and Fractions
- Unit 5 – Adding and Subtracting Fractions
- Unit 6 – Multiplying and Dividing Fractions
- Unit 7 - Ratios, Proportions and Percents
- Unit 8 – Tools of Geometry
- Unit 9 - Geometry and Measurement
- *Unit 10 - Exploring Probability
- Unit 11– Integers
- Unit 12 – Equations and Inequalities

**Post NYS test*

## Math 6 Enriched

**Topics Covered**

*Review of Basic computation*

- Unit 1 – Whole Numbers and Decimals
- Unit 2 – Number Theory and Fractions
- Unit 3 – Integers
- Unit 4 – Operations with Fractions
- Unit 5 – Expressions
- Unit 6 – Equations
- Unit 7 - Ratios, Proportions and Percents
- Unit 8 –Tools of Geometry
- Unit 9 - Geometry and Measurement
- Unit 10 - Data and Graphs
- Unit 11 – Data and Graphs Part 2
- Unit 12 - Inequalities
- Unit 13 - Statistics and Probability

## Math 7

**Topics Covered**

- Chapter 1: Integers
- Chapter 2: Rational Numbers
- Chapter 3: Expressions
- Chapter 4A: Equations
- Chapter 4B: Equations & Inequalities
- Chapter 5: Ratios and Proportional relationships
- Chapter 6: Percents
- Chapter 7: Statistics
- Chapter 8: Probability
- Chapter 9: Angle Relationships
- Chapter 10: Geometry

## Math 7 Enriched

### High School Math

## Math Courses

- 0303 MATH 12
- 0305 Algebra ABC-1 Special Class (15:1)
- 0308 Algebra
- 0309 Algebra ABC-1 Special Class (15:1)
- 0311 CAREER MATH
- 0314 Career Math Special Class (15:1)
- 0316 ALGEBRA AB
- 0327 PRE-CALCULUS
- 0328 AP STATISTICS
- 0335 Gemini - Personal Money Management
- 0336 AP CALCULUS – AB
- 0339 IB MATHEMATICS Analysis and Approaches
- 0346 Computer Science Python Fundamentals
- 0352 ALGEBRA 2
- 0353 Conceptual ALGEBRA 2
- 0359 AP Calculus - BC
- 0361 GEOMETRY
- 0363 Conceptual GEOMETRY
- 0364 ALGEBRA C/ GEO-TRIG
- 2957 AP Computer Science A

## 0303 MATH 12

**Full Year 1 unit Grade 12**

**Prerequisite:** *Successful completion of Algebra 2/Conceptual Algebra 2 (65% or higher) and teacher recommendation.*

This course will introduce students to college level math topics without the rigor of Pre-Calculus. Some topics in this course include statistics, matrices, functions, and linear programming. Math 12 will provide an excellent preparation for an entry level mathematics course in college. A Texas Instruments TI-84 Plus or TI-84 CE graphing calculator is required.

## 0305 Algebra ABC-1 Special Class (15:1)

**Full Year 1 Unit Grade 10**

**Prerequisite: **Successful completion of Algebra ABC-1 (65% or higher)

Students must have special class math 15:1 on their IEP to be able to enroll in course.

This course is the first year of a two year sequence that will prepare students for the Algebra Regents Exam to be taken in January of the second year of the course. Students can retake the exam in June if needed. This exam is a graduation requirement. This is a co-taught class that has fewer students thereby offering more individualized instruction. The emphasis of this course will be on algebra and functions. Students will study and compare linear, exponential, and quadratic models. Students will be introduced to the use of statistics. There will be an emphasis on the application of skills to real world situations. A technological approach to solving problems will be taken where appropriate. A Texas Instruments TI-84 CE graphing calculator is provided by district.

**For NCAA clearing house - see counselor*

## 0308 Algebra

**Full Year 1 unit Grade 9**

This course will prepare students for the Algebra Regents Exam to be taken in June. This exam is a graduation requirement. The emphasis of this course will be on algebra and functions. Students will study and compare linear, quadratic and exponential models. They will relate these models to examples with the use of statistics. There will be an emphasis on the application of these skills to real world situations. A Texas Instruments TI-84 Plus or TI-84 CE graphing calculator is required.

## 0309 Algebra ABC-1 Special Class (15:1)

**Full Year 1 unit Grade 9**

Students must have special class math 15:1 on their IEP to be able to enroll in the course.

This course is the first year of a two year sequence that will prepare students for the Algebra Regents Exam to be taken in January of the second year of the course. Students can retake the exam in June if necessary. This exam is a graduation requirement. This is a co-taught class that has fewer students thereby offering more individualized instruction. The emphasis of this course will be on algebra and functions. Students will study and compare linear, exponential, and quadratic models. Students will be introduced to the use of statistics. There will be an emphasis on the application of skills to real world situations. A technological approach to solving problems will be taken where appropriate. A Texas Instruments TI-84 CE graphing calculator is provided by district.

***For NCAA clearing house - see counselor**

## 0311 CAREER MATH

## 0314 Career Math Special Class (15:1)

**Full Year 1 unit Grade 11-12**

**Students must have special class math 15:1 on their IEP to be able to enroll in the course. **

**This course is designed to teach students how to use math in their everyday lives and in their careers. Topics covered include Gross Pay, Net Pay, Banking, Loans, Credit Cards, Investments, and Insurance. Students can use this course as their third year of Math.**

## 0316 ALGEBRA AB

**Full Year 1 unit Grade 9**

This course will prepare students for the Algebra Regents Exam to be taken in January of their second year of math. This exam is a graduation requirement. This is taught by two teachers. Students will study the first 2/3 of the curriculum studying linear, quadratic and exponential models. There will be an emphasis on the application of these concepts to real world situations. A technological approach to solving problems will be taken where appropriate. A Texas Instruments TI-84 Plus or TI-84 CE graphing calculator is required.

***For NCAA clearing house - see counselor**

## 0327 PRE-CALCULUS

**(FLCC MAT152 – Pre-Calculus)**

**Possible 3 college credits from FLCC**

**Cost: **$15

**Full Year 1 unit Grades 11-12**

**Prerequisite:** *Successful completion of Algebra II Regents Exam (80% or higher) and a teacher recommendation.*

The student should have a strong background in mathematics as this course prepares students for calculus. The major emphasis is on the study of functions with other topics from analytical geometry and advanced algebra, including the study of matrices. A Texas Instruments TI-84 Plus or TI-84 CE graphing calculator is required. Pre-Calculus is a rigorous course and the majority of content is calculator inactive so students will need strong arithmetic skills. A high level of math confidence and motivation is also a must.

## 0328 AP STATISTICS

**Possible 3 college credits**

**Cost:** $94

**Full Year 1 unit Grades 11-12**

**Prerequisite:** *Successful completion of Algebra II (80% or higher) or teacher recommendation*

This course is equivalent to the Introduction to Statistics course required at most colleges and universities. The course may be taken after Algebra II or Pre-Calculus or may be taken concurrently with Pre-Calculus and AP Calculus. A TI-84 Plus or TI-84 CE graphing calculator is required. Students are encouraged to take the AP exam in May for possible college credit. College credit depends on individual college requirements.

This college-level course introduces students to the major concepts and tools for collecting, analyzing, and drawing conclusions from data.

## 0335 Gemini - Personal Money Management

**Possible 3 college credits from FLCC
Cost: $15
Full Year 1 unit Grades 11-12**

Gemini Personal Money Management is a college level course in which students can earn Gemini FLCC credit. The course deals with management of personal finances over the life cycle of the individual consumer. Topics covered include establishment of personal financial objectives, budgeting, use of credit, and understanding credit scores; property, liability and life insurance; financing major purchases such as housing, transportation and education; taxes, banking services, investments, retirement and estate planning. Students can use this course as their third year of Math.

## 0336 AP CALCULUS – AB

**Possible 3 college credits
Cost: $94
Full Year 1 unit Grade 11 or 12**

**Prerequisite:** *Successful completion of Pre-Calculus or IB Mathematics (80% or higher) and a teacher recommendation.*

The student must have a very strong background in mathematics and have a high degree of motivation to continue his/her study of higher mathematics. AP Calculus AB is an introductory college-level calculus course. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of functions. A TI-84 Plus or TI-84 CE graphing calculator is required. Students are encouraged to take the Advanced Placement Examination in Calculus in May for possible college credit. College credit depends on individual college requirements.

## 0339 IB MATHEMATICS Analysis and Approaches

**Possible 3 college credits
Cost: IB Subject Fee
Full Year 1 unit Grades 11-12**

**Prerequisite:** *Successful completion of Algebra II and teacher recommendation.*

The student should be a motivated mathematician who is interested in pursuing either an IB diploma or a certificate in IB Math (Group 5). Topics studied will include functions, the parabola, transformations, logarithms, probability, statistics, trigonometry and introduction to Calculus. These will be studied at a rapid pace. Students will research and write a 12-20 page Math Exploration paper, as well as take the IB Math: Analysis and Approaches examination in May. Highly successful juniors in this course will be recommended for AP Calculus the following year. A Texas Instruments TI-84 Plus or TI-84 CE graphing calculator is required.

## 0346 Computer Science Python Fundamentals

**Half Year ½ unit Grades 10-12 **

**Prerequisite: ***Successful completion of Algebra (80% or higher) and Math teacher recommendation*

This course is for students who have an interest in the computer science field beyond just gaming. The course is designed to expose students to some of the various fields of computer science, primarily through programming. Students will be exposed to non-coding topics such as problem-solving, algorithm writing, flowcharting, and the binary number system with bits and bytes. Coding topics will include input/output, variable declaration, data types, computations, conditionals, and loops, all using the Python programming language. Students will also learn how to work in the Learning Management System Canvas and program in the IDE CodeSkulptor. Students work in a blended classroom environment that will include watching videos, taking notes from lectures, writing class programs, completing daily lessons with coding practice, researching careers in computer science, taking online and paper quizzes and tests, and completing major programming projects all to demonstrate their mastery of content. Students will work independently as well as in groups, designing, writing, and debugging programs. This program is part of an initiative created by Amazon to bring computer science to high schools, and as such students who take this course are eligible for scholarships and other opportunities through Amazon. The ability to be a self-starter is a must.

## 0352 ALGEBRA 2

**Full Year 1 unit Grade 10 or 11 or 12**

**Prerequisite:** *Successful completion of Geometry(80% or higher) or Conceptual Alg 2 Apps (80% or higher) along with a teacher recommendation.*

This rigorous course is typically the third in the Regents sequence. Topics include functions, complex numbers, quadratics, exponents, logarithms, trigonometry, sequences and series, probability, and statistics. This course is a prerequisite for Pre- Calculus, IB Mathematics: Analysis and Approaches, and AP Statistics. Students will take the Common Core Algebra 2 Regents exam in June. A Texas Instruments TI-84 Plus or TI-84 CE graphing calculator is required.

## 0353 Conceptual ALGEBRA 2

**Full Year 1 unit Grades 11-12**

**Prerequisite:** *Successful completion of Geometry Apps, Geometry or Alg C Geo Trig (65% or higher)*

This course is a third-year non-regents level course and provides an excellent background for college level mathematics. Topics include functions, complex numbers, quadratics, exponents, trigonometry, and statistics. A Texas Instruments TI-84 Plus or TI-84 CE graphing calculator is required.

## 0359 AP Calculus - BC

**Possible 6 college credits
Cost: $94**

**Full Year 1 unit Grades 11- 12**

**Prerequisite: Successful completion of IB Mathematics or Pre-Calculus (95% or higher exam average) and teacher recommendation**

**AP Calculus BC is an introductory college-level calculus course. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of functions.**

**AP Calculus BC covers the entire Advanced Placement Calculus AB curriculum plus 3 more advanced units. This course is intended for students who not only excel in mathematics but also pick up concepts quickly as this course must go at a very quick pace to meet all the curriculum requirements. A TI-84 Plus or TI-84 CE graphing calculator is required. Students are encouraged to take the AP exam in May for possible college credit. College credit depends on individual college requirements.**

## 0361 GEOMETRY

**Full Year 1 unit Grades 9-10**

**Prerequisite:** *Successful completion of Algebra (80% or higher), Algebra Regents Exam (70% or higher) and a teacher recommendation. *

This is the second course in the Regents sequence. Students will study topics including Euclidean proofs, coordinate geometry, transformational geometry, trigonometry, 3-D geometry and circles. This course prepares students to take the Geometry Common Core Regents exam in June. A Texas Instruments TI-84 **Plus or TI-84 CE **graphing calculator is required. This course is required for the Advanced Regents Diploma.

## 0363 Conceptual GEOMETRY

**Full Year 1 unit Grade 10**

**Prerequisite:** *Successful completion of Algebra (65% or higher)*

This course will give students an application approach to geometry. Students will study topics such as quadrilaterals, constructions, coordinate geometry, perimeter/area/volume and transformations. Euclidean proofs will be de-emphasized. **A Texas Instruments TI-84 Plus or TI-84 CE graphing calculator is required. Graphing calculator is required.**

## 0364 ALGEBRA C/ GEO-TRIG

**Full Year 1 unit Grade 10**

**Prerequisite:** Successful completion of Algebra AB (65% or higher)

This course continues the Algebra curriculum and is taught at a slightly slower pace. The class has two math teachers and has fewer students to allow for more individualized instruction.

Students will finish the Algebra curriculum and prepare for the Algebra regents exam to be taken in January. A Texas Instruments TI-84 **Plus or TI-84 CE** graphing calculator is required.

**For NCAA clearing house - see counselor*

## 2957 AP Computer Science A

Possible 3 College Credits

Cost: $94

**Full Year 1 Unit Grade 10 - 12**

Prerequisite: *Successful completion in Algebra with a strong foundation in basic linear functions composition of functions, and problem-solving strategies that require multiple approaches and collaborative efforts. In addition, students should be able to use a Cartesian (x, y) coordinate system to represent points in a plane.*

*Additionally, the successful completion of Computer Science Python Fundamentals.*

AP Computer Science A is an introductory college-level computing course. Students cultivate their understanding of computer science through working with data, collaborating to solve problems, and developing computer programs as they explore concepts like creativity, abstraction, data and information, algorithms, programming, the internet, and the global impact of computing.

AP Computer Science A students are encouraged to take the AP Exam as well as complete two performance tasks which will represent 40% of their overall AP Exam Score. The AP exam is in May for possible college credit. College credit depends on individual college requirements.