Mathematics

Heather Raulli

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.

2 girls working on homework and giving the peace sign


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 11– Integers
  • Unit 12 – Equations and Inequalities
  • *Unit 10 - Exploring Probability
*Unit 10 is out of order as it is 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 – Adding and Subtracting Fractions
  • Unit 5 – Multiplying and Dividing Fractions
  • Unit 6 – Patterns and Variables, Expressions, and Equations
  • Unit 7 - Ratios, Proportions and Percents
  • Unit 8 –Tools of Geometry
  • Unit 9 - Geometry and Measurement
  • Unit 10 - Data and Graphs
  • Unit 11 – Operations/ Equations- Rationales
  • Unit 12 - Inequalities
  • Unit 13 - Exploring Probability

Math 7

Topics Covered
  • Ratios and Proportions
  • Percents
  • Integers
  • Fractions
  • Expressions
  • Equations
  • Multistep Equations and Inequalities
  • Angle Relationships
  • Geometry
  • Probability
  • Statistics

Math 7 Enriched

Topics Covered
  • Integers
  • Expressions
  • Inequalities
  • Ratios and Proportional Reasoning
  • Functions
  • Percents
  • Geometric Figures
  • Measure Figures
  • Probability
  • NYS 7th Grade Test Prep
  • Congruence
  • Similarity
  • Radicals
  • Integer Exponents

Math 8

Topics Covered
  • Equations
  • Linear Equations
  • Functions
  • Systems of Equations
  • Integer Exponents
  • Angle Relationships
  • Congruence
  • Similarity
  • Factoring
  • Radicals

High School Math

Math Courses

0302 IB MATH STUDIES SL

Cost: IB Subject Fee

Full Year 1 unit Grades 11-12

Prerequisite: A 65 or higher in Algebra II and Teacher Recommendation

The student should be interested in pursuing either an IB diploma or a certificate in IB Math Studies (Group 5). Topics studied will include statistics, sets and logic, trigonometry, geometry, probability, matrices and graph theory. Students will complete a five week project as well as take the IB Math Studies examination in May. A Texas Instruments TI-84 graphing calculator is required.

0303 MATH 12

Full Year 1 unit Grade 12

Prerequisite: Successful completion of Algebra 2/Algebra 2 Apps (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 graphing calculator is required.

0308 Algebra

Full Year 1 unit Grade 9

This course will prepare students for the Algebra Common Core 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 graphing calculator is required.

0309 ALGEBRA ABC-1

Full Year 1 unit Grade 9

* Please note that this course is not an approved Math course through the NCAA clearinghouse.

This course is the first year of a two year sequence that will prepare students for the Algebra Common Core 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 and quadratic models. They will relate these models to examples with 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 graphing calculator is provided by district.

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

Full Year  1 Unit  Grade 9

* Please note that this course is not an approved Math course through the NCAA clearinghouse.

 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 Common Core 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 and quadratic models. They will relate these models to examples with 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 graphing calculator is provided by district.

0310 ALGEBRA ABC-2

Full Year 1 unit Grade 10

* Please note that this course is not an approved Math course through the NCAA clearinghouse.

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

This course is the continuation of Algebra ABC-1. This is a co-taught class that has fewer students thereby offering more individualized instruction. Students will study algebra as it relates to linear, quadratic, and exponential functions. Students will continue the study of statistics. There will be an emphasis on the application of these skills to real world situations. Students will take the Algebra Common Core Regents Exam in January. If needed, students can retake it in June.  A Texas Instruments TI-84 graphing calculator is provided by the district..

0310 Algebra ABC-2 Special Class (15:1)

Full Year   1 unit    Grade 10

* Please note that this course is not an approved Math course through the NCAA clearinghouse.

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 continuation of Algebra ABC-1. This is a co-taught class that has fewer students thereby offering more individualized instruction. Students will study algebra as it relates to linear, quadratic, and exponential functions. Students will continue the study of statistics. There will be an emphasis on the application of these skills to real world situations. Students will take the Algebra Common Core Regents Exam in January. If needed, students can retake it in June.  A Texas Instruments TI-84 graphing calculator is provided by the district..

0311 CAREER MATH

Full Year 1 unit Grades 11-12

This course is designed to teach students how to use math in their everyday life 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

* Please note that this course is not an approved full credit Math course through the NCAA clearinghouse.  You will earn .67 for this course through clearinghouse.

This course will prepare students for the Algebra Common Core Regents Exam to be taken in January of their second year of math. This exam is a graduation requirement. This is taught by two math teachers and has fewer students thereby offering more individualized instruction. The emphasis of this course will be on algebra and functions. Students will study the first 2/3 of the curriculum comparing linear, quadratic and exponential models. There will be an emphasis on the application of these skills to real world situations. A technological approach to solving problems will be taken where appropriate. A Texas Instruments TI-84 graphing calculator is required. 

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 (70% 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 graphing calculator is required. 

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 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.

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 that 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, property, liability and life insurance, major purchases such as housing, transportation and education; taxes, savings, investments, and retirement and estate planning.

 

 

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. The course follows the syllabus for Advanced Placement Mathematics, Calculus AB. A TI-84 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 graphing calculator is required.

0345 Data Structures i / JAVA (FLCC CSC190)

Possible 3 college credits from FLCC
Cost: $15
Half Year ½ unit Grades 10-12

Prerequisite: Grade of 85 or higher in 0346

This college course is an extension of the introductory class. More advanced programming techniques will be taught using the Java language. Upon payment of the tuition and achievement of a passing grade, 3 credits from FLCC will be awarded. It is possible to take this course for no college credit on a tuition-free basis.

0346 Introduction to Computer Science

Half Year ½ unit Grades 10-12

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

The Intro to Computer Science 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 and 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 lecture, 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.  The ability to be a self-starter is a must.

AP Computer Science Principles

Possible 3 College Credits
Cost: $94
Full Year 1 Unit Grade 10 - 12

Prerequisite: Successful completion in Algebra with a strong foundation on basic linear functions and 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.

AP Computer Science Principles 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 Principles 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.

0352 ALGEBRA 2

Full Year 1 unit Grade 10 or 11

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

This is typically the third course 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 graphing calculator is required.

0353 Conceptual ALGEBRA 2

Full Year 1 unit Grades 11-12

* Please note that this course is not an approved Math course through the NCAA clearinghouse.

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

The course will provide an excellent background for college level mathematics. Topics include functions, complex numbers, quadratics, exponents, trigonometry, and statistics. A Texas Instruments TI-84 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) and teacher recommendation

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 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 graphing calculator is required.

0363 Conceptual GEOMETRY

Full Year 1 unit Grade 10

* Please note that this course is not an approved Math course through the NCAA clearinghouse.

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.

0364 ALGEBRA C/ GEO-TRIG

Full Year 1 unit Grade 10

* Please note that this course is not an approved full credit Math course through the NCAA clearinghouse.  You will earn .33 for this course through clearinghouse.

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

This course covers the last 1/3 of the Algebra curriculum and is taught at a slightly slower pace. This is taught by two math teachers and has fewer students thereby offering more individualized instruction.

During the first half of the year, students will finish the Algebra curriculum and prepare for the Common Core Algebra regents exam to be taken in January. During the second half of the year, students will be introduced to both Geometry and Algebra 2 topics. A Texas Instruments TI-84 graphing calculator is required.