# Grade 5-12 Math Progressions

## Multiple math pathways

The information below provides detail concerning Central Valley School District’s math progressions (adopted 02/15/2017). The same content is also available graphically in a PDF image.

### Regents Diploma

This path satisfies the requirements for a Regents diploma (or an Advanced Regents diploma with grades demonstrating mastery). The basic progression is Math 5, Math 6, Math 7, Math 8, Algebra 1 Common Core (Algebra 1 CC), Geometry, Algebra 2 Common Core (Algebra 2 CC), Pre-Calculus.

If a student has difficulty with at a level and shows the needs for extra time or instruction to be prepared for the next level, alternate paths keeps the student on track for a Regents diploma:

• Students who struggle in Math 7 take Pre-Algebra, Algebra 1 CC A, Algebra 1 CC B, Geometry (or a math elective).

• Students who struggle in Math 8 take Algebra 1 CC A, Algebra 1 CC B, Geometry (or a math elective).

• Students who struggle in Algebra 1 CC take Intermediate Geometry, Geometry, and a math elective.

• Students who struggle in Geometry take Intermediate Algebra 2 CC, and Algebra 2 CC or a math elective.

### Regents Prioritized

Students in grades 5-7 receive instruction based on student needs that prepares them for Pre-Algebra in grade 8, then Algebra 1 CC A, Algebra 1 CC B, Geometry (or a math elective).

### Honors

This allows students to accelerate their math studies. At the end of grade 4, the math committee reviews the Grade 4 teacher recommendations and the students’ performance on various assessments to determine if a student is prepared for an accelerated math pathway. Students take Honors 5, Honors 6, Honors 7, Algebra 1 CC, Geometry, Algebra 2 CC, Pre-Calculus, and AP Calculus AB (or a math elective).

### Double Honors

This allows students to take four years of middle school math in two years. At the end of grade 5, the math committee reviews Grade 5 teacher recommendations and the students’ performance on various assessments to determine if a student is prepared for a double-accelerated math pathway. Teachers meet with students’ parents to explaining the progression. Students take Honors 5, Double Honors 6, Algebra 1 CC, Geometry, Algebra 2 CC, Pre-Calculus, AP Calculus AB, and AP Calculus BC.

## Comparing former plan to new

### Current plan and the challenges:

#### Students who have passed a class but have failed the Regents exam are placed in Learning Centers (LC).

• LCs meet every other day.

• LCs are non-credit bearing.

• Students can be taking the next course, while having unsuccessfully completing the previous course requirements, essentially moving an unprepared student ahead.

#### Accelerated math classes beginning at grade 7.

• Students are losing a strong foundation of grade 7 and grade 8 math.

• Students are unable to take Calculus AB without “skipping” the foundational pre-Calculus.

• Low participation in the higher level math classes due to student frustration and/or low skill sets.

### Proposed plan and the solutions:

#### Intermediate Classes for students who have passed a class but failed a Regents exam.

• Intermediate classes will meet every day.

• Intermediate classes will be credit bearing.

• Intermediate classes will offer data-driven instruction for successful completion of the January Regents exam, coupled with pre-teaching for the next level after the January exam to promote success in the next course.

#### Honors classes at grades 5 and 6

• Increased opportunity for students to participate in higher level math classes without having to “Skip” foundational course work.

• Higher participation rate in higher level math classes due to stronger skill sets and foundations. This will create confidence in students to attempt these course.

#### Prioritized Curriculum implemented to promote success.

• Specifically designed to meet the individual needs of students who may be in Self-Contained Math classes,

students who may need credit recovery, or students who are returning to school following a period where they were home-schooled.

## Course Descriptions

### Algebra 1 CC A

This course is designed to prepare students for the Algebra Common Core Regents Exam. CC A will stress prerequisite topics that are essential for success in Integrated Algebra. 75% of the course wm entail the prerequisite topics with the final 25% consisting of the first 3 chapters of the Integrated Algebra course. Upon passing CC A, students will then take Integrated Algebra CC B (R) the following year and take the Regents Exam in June.

### Algebra 1 CC 8 (R)

This is the SECOND course in the two-year Regents sequence. The remaining 60% of the course material not covered in Integrated Algebra CC A will be introduced and mastered by the students. Students passing the Regents exam will earn 1 Regents credit. Students not passing the Regents but having a passing final school average will earn 1 local credit.

### Algebra 1 CC (R)

This is the first course in the three-year Regents mathematics sequence. It is designed for students of average and above average ability and will assist them in developing skills and processes to be applied using a variety of techniques to solve problems in a variety of settings. Problem situations may result in all types of linear equations in one variable, quadratic functions with integral coefficients and roots as well as absolute value and exponential functions. Students will solve problems requiring right triangle trigonometry, elementary probability theory will be used to determine the probability of independent, dependent and mutually exclusive events. Students will take the Integrated Algebra CC Regents Exam in June.

### Intermediate Geometry

This course is designed for the student that successfully completed Algebra 1 CC (R) but not the Algebra 1 CC Regents Exam. The first half of the course will be review of the Algebra 1 CC material in effort to prepare the student for the Regents Exam in January. The second half will be an introduction to regents-level Geometry topics to prepare the student for Geometry CC (R) the following year. A local exam will be administered with the completion of this course in June.

### Geometry (R)

This course is the second in the three-year mathematics Regents program. Designed for students who have successfully completed Integrated Algebra CC (R). Topics include geometric relationships, constructions, locus, informal and formal proofs, transformational geometry and coordinate geometry. A Regents Geometry Exam will be given at the end of this course.

### Intermediate Algebra 2 CC

This course is designed for the student that successfully completed Algebra 1 CC (R), the Algebra 1 CC Regents Exam, Geometry CC (R) but not the Geometry CC Regents Exam. The first half of the course will be review of the Geometry CC material in effort to prepare the student for the Regents Exam in January. The second half will be an introduction to regents level Algebra 2 topics to prepare the student for Algebra 2 CC (R) the following year. A local exam will be administered with the completion of this course in June.

### Algebra 2 CC (R)

This course completes the three-year mathematics Regents program. Designed for students who have successfully completed Geometry (R). Topics include an extension of all topics covered in Geometry along with complex numbers, exponential and logarithmic functions, circular functions, transformation geometry and applications to group theory. An Algebra 2/Trigonometry Regents Exam is given at the end of this course.

## Math Electives

### Intermediate Pre-Calculus

This course is designed for the student that successfully completed Algebra 1 CC (R), the Algebra 1 CC Regents Exam, Geometry CC (R), the Geometry CC Regents Exam, Algebra 2 CC (R) but not the Algebra 2 CC Regents Exam. The first half of the course will be review of the Algebra 2 CC material in effort to prepare the student for the Regents Exam in January. The second half will be an introduction to College Now level Pre-Calculus to prepare the student for the College Now Pre-Calculus the following year. A local exam will be administered with the completion of this course in June.

### Pre-Calculus (College Now)

This course is designed for students who have good mathematical skills, have a desire to pursue mathematics in college, and have completed the Regents program. The course reviews topics covered in Trigonometry and includes topics in advanced algebra, matrices and determinants, mathematical systems, squares and series, formal limits, analytical geometry, and an introduction to differential and integral calculus. The study of polynomial, rational, trigonometric, logarithmic and exponential functions; in particular, the algebra and the curve sketching techniques involved with these functions. – Prerequisite: Algebra2/Trigonometry (R)

### Advanced Placement- Calculus AB

This course is suggested for students intending to go to college in engineering or who expect to do college level work in science or mathematics. Liberal arts majors and others in colleges are often expected to take calculus as freshman and this course is an excellent preparation. The course covers topics of functions, analytic geometry, limits, differential and integral calculus, generally following the Advanced Placement AB syllabus. The course balances theoretical vigor with important applications. Students are expected to take the AP Exam in May. Students pay their own examination fee. Depending on the score on the exam and the college selected, a student may receive advanced standing and/or credit for calculus. In any case, the opportunity to take a college level course at the high school level puts students at an advantage when they take calculus in college.

### Advanced Placement- Calculus BC

Explore the key concepts, methods, and applications of single-variable calculus including all topics covered in AP Calculus AB (functions, graphs, and limits, derivatives, integrals, and the Fundamental Theorem of Calculus) as well as additional topics in differential and integral calculus, such as parametric, polar and vector functions, and series.

### Mathematical Statistics I (College Now)

This course is designed to explore topics from descriptive and inferential statistics: graphing, measure, of central tendency and variation, probability, Central Limit Theorem, estimation, the binomial distribution, the normal distribution, and hypothesis testing. The laboratory provides hands-on technology experience using a statistical software package. Skill in elementary algebra is required. – Prerequisite: Algebra2/Trigonometry (R)

### Contemporary Math (College Now)

This course is designed to provide students with a liberal arts math full of relevance and applications. Topics include problem-solving and critical thinking, set theory, logic, number theory and the real number system. Optional topics include: Equations, inequalities, geometry, counting method, probability and statistics. – Prerequisite: Pass Integrated Algebra CC Regents

### SAT Prep/Mathematics

This class is designed for students who are preparing to take the PSAT/SAT exams. This class will focus on the format of the test and how the test is graded. Pertinent math topics related to the SAT Mathematics test will be covered. Testing tips and modeling will be provided.

### Additional Math Electives offered through the Business Department:

Accounting

Business Math

World of Technology