Scarsdale Middle School has three levels of mathematics in eighth grade.  The differences among the levels are in duration, intensity, pacing and approach.  Each student is placed in a course based on his or her seventh grade teacher's recommendation.  Depending upon individual needs and performance, students may need to change levels, both up and down. Below are the descriptions of each level and the type of student selected for each course.

Math 8-1 (One section):

The majority of the students who completed the Math 7-1 Course will be recommended for this course.  Math 8-1 completes the eighth grade curriculum and includes several ninth grade topics. Students will be challenged with integrated topics in Algebra and Geometry, and at the same time, will have an opportunity to reinforce skills covered in previous math courses.

Math 8-1 students will:
• Simplify and evaluate expressions using order of operations, integers and real numbers

• Solve multi-step equations and inequalities

• Transform equations to a given variable

• Apply algebraic concepts to write and solve word problems

• Define, evaluate and recognize various functions

• Relate a story to a graph

• Graph linear equations and inequalities using slope-intercept

• Create a scatterplot with a line of best fit

• Write the equation of a line given certain information

• Solve linear systems of equations by graphing, substitution and elimination

• Apply systems of equations to solve word problems

• Review ratio, proportion and percent applications

• Apply the laws of exponents

• Perform operations with polynomials

• Factor polynomials

• Simplify and perform operations with radicals

• Apply the Pythagorean Theorem

The year-end grade is comprised of 90% from the four marking period scores (22.5% each) with the remaining 10% coming from the final exam score.

Math 8-2 (Math 412) (Two Sections) and Math 8-3 (Math 413) (One Section):
Both courses cover the New York State Algebra I Common Core Curriculum plus some additional topics and culminate with the New York State Algebra I Regents Exam in June.  The student's year-end grade will become part of the student’s High School transcript.

Math 8-2: Students who successfully completed Math 7-2 will be recommended for this course. This eighth grade course is a continuation of the Math 7-2 course, but students will notice an increase in rigor due to the complex nature of the topics taught. This course is intended for students who have demonstrated a strong ability in mathematics.

Math 8-3: This course is for students who have demonstrated exceptional ability in mathematics, and would benefit from a challenge over and above the traditional advanced program.  In addition to the topics covered in the Math 8-2 course, this class introduces students to abstract ideas, higher levels of integration and application, and moves at a rapid pace.  Topics are presented in greater depth to challenge even our most successful math students.  Students will be expected to analyze complex problems with little review or tutoring assistance. Often, some portion of exams will contain questions that students have not previously encountered in class or homework.

Math 8-2 and Math 8-3 students will:
• Simplify and evaluate expressions using order of operations and real numbers

• Solve multi-step equations and inequalities

• Transform equations to a given variable

• Apply algebraic concepts to write and solve word problems

• Define, evaluate, recognize and graph functions including step, piecewise, linear, exponential, quadratic, cubic and square root

• Relate functions to various contexts

• Graph linear equations and inequalities using slope-intercept and standard forms

• Create a scatterplot with a line of best fit

• Write the equation of a line given certain information

• Solve linear systems of equations by graphing, substitution and elimination

• Graphing systems of linear inequalities

• Apply systems of equations to solve word problems

• Apply the laws of exponents

• Examine exponential growth and decay functions

• Perform operations with polynomials

• Factor polynomials

• Solve quadratic equations by factoring, using square roots, completing the square and the quadratic formula

• Graph quadratic equations including the use of vertex form

• Solve linear-quadratic systems graphically and algebraically

• Simplify and perform operations to radical expressions
• Simplify and perform operations to rational expressions

• Solve rational equations

• Simplify and perform operations with radicals

• Apply the Pythagorean Theorem

• Apply transformations to functions

• Examine one and two variable statistical measures

• Identify and apply arithmetic and geometric sequences

Grading Policy for 8-2 and 8-3:
Only the final, year-end grade is included on a student's high school transcript.  The grade is comprised of 90% from the four marking period scores (22.5% each) with the final 10% coming from the Regents exam score.

Placement process:
Students were placed in their eighth grade math course based upon their seventh grade teacher's recommendation. Beginning in 2020, seventh grade students who were placed into Math 8-2, but wish to be placed into Math 8-3 may request a placement test provided they have an A- or above average for the year and scored 90% or higher on the final exam. A score of 85% or higher on the placement exam is required to be placed in 8-3. The exam will be given in August by the middle school department chair. Please contact the math teacher to discuss this option. A form requesting the placement exam must be received by July 15.

It is possible for students to change levels, both up and down, during their eighth grade year.  In general, a change from one level of a course to another level of the course should take place no later than one week after the distribution of the second marking period report card. Level changes can be approved only by the House Counselor and Math Department Chair, in consultation with the student, teacher, and parents. Level changes during the third quarter are possible only if the student, parent, House Counselor, teacher and Math Department Chair have conferred prior to the start of the third quarter and have signed off on the extension. The House Counselor shall retain the written, signed agreement in the student’s official file. No level changes are possible in the fourth quarter without the written approval of the Principal.

If a student changes level, the grading policy is as follows:
• During marking period 1 – Only coursework completed in the new course will be used to compute the 1st marking period grade. All four marking periods and the final exam/Regents exam will be used to compute the student’s year-end grade.
• At the end of marking period 1 – The quarter 1 grade will be eliminated from the year end calculation. Marking periods 2, 3 & 4 will count 30% each with the final exam/Regents exam counting 10%.
• Any point during the second marking period - The teacher, house counselor and parent should confer and agree on a grading policy. Note - there really should not be much movement during or after the second marking period.

Placements for ninth grade are made by the eighth grade teacher and discussed during the high school course conference in the Spring of 8th grade.  All placements are reevaluated in June.
Math 8-1:  Upon the successful completion of this course, students will be eligible to enter the ninth grade Regents level Algebra 1 course (Math 412).
Math 8-2:   Upon the successful completion of this course, students will typically be recommended for either Math 422 or 423 (Advanced Tenth Grade Math). Due to special circumstances, it is possible for a student to be placed into Math 424 (Honors Tenth Grade Math), but that student was most likely moved to Math 8-3 during the course of 8th grade.
Math 8-3:   Upon the successful completion of this course, students will be recommended for Math 423 (Advanced Tenth Grade Math) or Math 424 (Honors Tenth Grade Math).

It is suggested that you visit the high school course catalog for descriptions of math courses. High school policy allows for overrides from 422 to 423, however there are no overrides into 4-level courses (424). The student may request a placement exam to test into 424 by completing the required form available from their House Counselor by June 1. This is a firm deadline and the recommendation of the eighth grade teacher is required.  Additionally, students must have a B+ or above average to make this request. **Solid lines indicate a typical path.  Dashed lines indicate possible paths that usually occur with intermediate steps taken.