Middle School Curriculum Guide

The fifth-grade Mathematics program is a continuation of Singapore Math, the program used in the Lower School. Students work to master computation with whole numbers, fractions, and decimals, and improve their understanding of number sense, place value, estimation, fractional equivalents, and percents. Throughout each unit, importance is placed on acquiring problem solving strategies through independent and group work. Students strive to develop organizational skills and appropriate study habits. Quizzes and tests, as well as class performance and participation, are used to assess students.

By the end of the year, fifth-grade students should demonstrate reasonable mastery of the following:

• basic whole number skills and operations
• computation of fractions and decimals
• fraction/decimal/percent equivalents
• percent of a quantity
• perimeter and area of rectangles
• geometry, including measurement of angles, classifying triangles and quadrilaterals, and sum of angles of triangles and quadrilaterals

Sixth-grade Mathematics focuses on student mastery of computation skills while introducing complex problem solving and pre-algebra concepts. Sections are differentiated based on ability to allow students to explore topics at their “just right” level and at a suitable pace. In all sections, various study skills applicable to math are presented throughout the year, and the production of organized and accurate solutions is emphasized. Problem solving strategies are discussed within each unit as students examine a wide variety of word problems. Students should demonstrate reasonable mastery of the following topics by the end of the year:

• number theory and decimals
• fractions
• integers
• pre-algebra topics including expressions and equations
• percents, ratios, and proportions
• business math - discount, sales tax, etc.
• geometry
• measurement

Math in the seventh grade is offered in three distinct levels: Pre-Algebra, Advanced Pre-Algebra, and Honors Pre-Algebra. Students are enrolled in the class that will allow them to sharpen their mathematical skills and proceed comfortably onto the next level of mathematics, with a degree of challenge that is suitable to the level.

PRE-ALGEBRA
The central objectives of Pre-Algebra are to build upon the student's comprehension of basic mathematical concepts, introduce fundamental concepts of algebra, and deliver the curriculum at a pace that allows each student the time to comprehend and process the material. Building each student's foundation of knowledge is a major point of emphasis, as is increasing each student's confidence in his/her mathematical abilities. While the bulk of the curriculum centers around topics that students have seen previously, new topics are also introduced.

ADVANCED PRE-ALGEBRA
The central objectives of Advanced Pre-Algebra are to continue the study of arithmetic in a theoretical framework, to develop more sophisticated techniques in problem solving, and to introduce the fundamental concepts of algebra. Throughout the course of the year, students build upon their mathematical foundation and develop their algebraic skills so that they are prepared to move into Algebra I in eighth grade. Students also are expected to demonstrate academic independence and require limited teacher support.

HONORS PRE-ALGEBRA
The central objective of the Honors Pre-Algebra course is to learn techniques for solving various types of problems that encourage students to discover solutions to problems. The students in the Honors program will move more quickly through the material and will be responsible for understanding by using basic algebraic concepts and skills rather than with the help of a tutor. By the end of the year, Honors students should master problems based on arithmetic, and algebra, with considerable emphasis on word problems.

In all of the classes, seventh-grade students are expected to demonstrate reasonable mastery of the following concepts:

• word problems involving algebra, percents, and geometry
• operations with integers and real numbers
• simplification and evaluation of algebraic expressions
• solutions and graphing of linear equations
• operations with monomials and polynomials
• basic forms of factoring with algebraic expressions
• perimeter, area, volume, and surface area

Math in the eighth grade is offered in three distinct levels: Introduction to Algebra 1, Advanced Algebra 1, and Honors Algebra 1. Students are enrolled in the class that will allow them to sharpen their mathematical skills and proceed comfortably onto the next level of mathematics, with a degree of challenge that is suitable to the level.

INTRODUCTION TO ALGEBRA 1
Students in the Introduction to Algebra 1 level will cover a traditional Algebra 1 curriculum, which builds on the skills the student acquired in Pre-Algebra. The emphasis will be on developing students’ ability to work with integers and variables and to enhance their critical thinking skills. Upon completion of this course, students may enter Geometry or Advanced Geometry. For some students, retaking Algebra 1 will be the best option.

ADVANCED ALGEBRA 1
The Advanced Algebra 1 course is the completion of the Algebra1 program begun in the seventh grade, through quadratic functions. The text offers exposure to all of the concepts and operations involved in any Algebra 1 course. This course is not as theoretical in nature as the Honors course but does give students a solid understanding of Algebra 1 and a strong foundation on which to build. Students must be highly motivated and have strong mathematical skills. At the end of the eighth-grade year, the students will have completed a full Algebra 1 course and may enter Geometry at the advanced level.

HONORS ALGEBRA 1
The Honors Algebra 1 course is the completion of the Algebra 1 course begun in Honors Pre-Algebra. The text offers a thorough and challenging exploration of the concepts and operations involved in a demanding Algebra 1 course and concludes with a unit on conics, an Algebra 2 topic. This course requires technical skill and speed, analytical facility, independence, and sharp reading skills. The pace is fast-moving and requires strong ability and motivation on the part of the student. At the end of the year, students will have completed a rigorous Honors Algebra 1 program, and those who are ready will enter the Honors program in Geometry in Grade 9. By the end of the eighth grade, students are expected to demonstrate reasonable mastery of the following topics:

• various number properties and axioms
• solutions to both linear and quadratic equations
• operations with integers
• operations with rational and irrational numbers and expressions.
• exponents
• inequalities
• operations with polynomials
• factoring by all methods
• graphing both linear and quadratic functions
• systems of equations and inequalities