
8th Grade Math
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 81 (One section):
The majority of the students who completed the Math 71 Course will be recommended for this course. Math 81 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 81 students will:
Simplify and evaluate expressions using order of operations, integers and real numbers

Solve multistep 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 slopeintercept

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
Grading Policy for 81:The yearend 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 82 (Math 412) (Two Sections) and Math 83 (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 yearend grade will become part of the student’s High School transcript.Math 82: Students who successfully completed Math 72 will be recommended for this course. This eighth grade course is a continuation of the Math 72 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 83: 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 82 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 82 and Math 83 students will:

Simplify and evaluate expressions using order of operations and real numbers

Solve multistep 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 slopeintercept 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 linearquadratic 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 82 and 83:Only the final, yearend 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 82, but wish to be placed into Math 83 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 83. 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 yearend 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 81: Upon the successful completion of this course, students will be eligible to enter the ninth grade Regents level Algebra 1 course (Math 412).Math 82: 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 83 during the course of 8th grade.Math 83: 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 4level 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. 