6th Grade Essential Math
The sixth grade essential math section starts the year by reviewing place values, the value of digits and numbers, and how numbers can be compared and ordered. This is followed by the study of order of operations, powers, and square roots, using the four operations (addition, subtraction, multiplication, and division) with both whole numbers and decimals. Special attention is devoted to making certain that every student has mastered the multiplication tables. Algebraic expressions, simple algebraic equation-solving, and word problem solving strategies including the use of tables, finding patterns, guess and check, multistep problems, and working backwards are covered All of the second trimester focuses on fractions and related skills. Students learn to identify factors, prime and composite numbers, greatest common factor, and least common multiple. We study equivalent fractions, and we learn to identify the least common denominator and to identify a fraction in simplest form. Students learn to compare and order fractions and to identify a mixed number as a fraction and vice versa. This is followed by working with the addition and subtraction of like and unlike fractions as well as mixed numbers. Finally students learn how to multiply and divide fractions and mixed numbers. Word problem-solving activities are included throughout the trimester. During the last trimester students learn to change a fraction to a decimal and vice versa. This is then related to the skill of determining how to convert a decimal or a fraction to a percent and vice versa. Students work with practical examples of how to use fractions, decimals, and percents. Students then begin an examinations of some geometry skills. They learn how to classify lines, angles, polygons, and solid figures. They learn how to find the perimeters of some polygons as well as area of the same polygons. They identify the parts of a circle and learn how to find the circumference and the area of a circle. Word problem-solving activities also occur throughout the this trimester.
6th Grade Regular Math
The sixth grade regular math section starts the year with a review of place value, the value of digits and numbers, and how numbers can be compared and ordered. We continue with the study of the order of operations, powers and square roots, using the four operations with both whole numbers and decimals, algebraic expressions, and problem solving strategies including using tables, finding patterns, guess-and-check, multistep problems, and working backward. In the second term we work on graphing, statistics and probability, number theory, and a wide range of skills with fractions, including estimating and finding sums, differences, products, and quotients with fractions. We also explore the relationships between fractions and decimals. Our work on problem solving strategies is ongoing, and we continue to work with patterns and multistep problems, as well as graphs and diagrams. By the third term we work on metric and customary measurement, ratios, proportions and percents, and geometry, including perimeter, area and volume. In problem solving, in addition to the continuation of skills already introduced, we work on scale drawings, circle graphs, and formulas. We finish the year with an introduction to integers, and a review of simple algebra.
6th Grade Advanced Math
This course builds on the students' enthusiasm for math and prepares them for the study of algebra in the 7th grade. Essentially a pre-algebra course, we start work with variables while we review fundamental concepts and topics and throughout the year revisit standard 6th grade material (fractions, ratio, percent etc.), but use those topics with algebraic applications. The first trimester covers decimals, place value, and solving equations with variables. The second trimester covers fractions, percents and geometric relationships. Each is used as an application for our work with writing and solving algebraic equations as a manner of solving problems. The spring term will finish area and volume and go on to mastery of basic operations with integers, coordinate graphing of linear equations, and an introduction to probability and statistics. Following the national standards we are striving to make students more fully numerate and comfortable relating to math in real world applications: in problem solving, logical sequencing, and creative thinking. Students in this course are introduced to comprehensive course exams as well as assembling a portfolio of their work which structures their self-examination as a math student. Daily homework and introduction of new procedures are enlivened by use of brainteasers, games, logic problems, and group exercises to expand their thinking and increase their proficiency. 7th Grade Essential Math
Students in the essential section of seventh grade math begin the year with a review of whole number and decimal operations. This is followed by a review of the order of operations; commutative, associative, distributive, and zero properties; notation and use of exponents, and scientific notation. At each of these stages, they work with equations and word problems, continually reinforcing their deductive reasoning and problem solving skills. Students work with the concepts of prime and composite numbers, factorization, least common denominator, greatest common factor, least common multiple, and mixed numbers while we discuss rational numbers and review operations with fractions. They also review proportion, ratio and percent. Learning about negative numbers and absolute value challenges the students conceptually, making the math more abstract. This involves expanding ideas students have long held about math (For example, the “-“ symbol no longer means only “minus;” it also indicates a negative number. This means that what they once conceived of as a subtraction problem can now be seen as an addition problem using a negative number.). Additionally, student work to solve 1, 2 and 3 step equations with variables, learning to use inverse operations. Textbook based math curriculum is mixed with a hearty dose of logic puzzles and math games. The students are involved in two long projects during the year: a salary project for which they are all assigned jobs, debts, and families, and then calculate living expenses, and taxes before writing a budget for themselves; and a quilting project for which they design a quilt, then calculate proportions and percent totals for each fabric chosen. A spreadsheet program is used specifically for calculations and graphing of the salary project.
7th Grade Regular Math
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Seventh Grade Pre-Algebra is a year-long course that begins with a review of mathematical expressions, order of operations, exponents and the decimal system, and the basic properties. We then concentrate on integers and using all of the operations with positive and negative numbers. We then do the same with rational numbers, including making equivalent fractions, and also changing fractions into decimals and vice versa. We work with equations and variables, and study how one uses the four operations with equations to solve for the variable, and then use those skills to solve inequalities. We also study the coordinate plane, graphing equations, systems of equations, and inequalities. We study geometry by identifying the parts of points, lines, planes and geometric shapes, how they are constructed and how they are measured in length, area and volume. We examine right triangles and use algebra to solve problems with the Pythagorean Theorem. We end with a unit on statistics and probability.
7th Grade Pre-Algebra
Seventh Grade Pre-Algebra is a year-long course that begins with a review of mathematical expressions, order of operations, exponents, the decimal system, and the basic properties. Subsequently, we explore these topics with positive, negative and rational numbers. A major focus is on the skills needed to use variables and solve equations. We apply these skills to the coordinate plane and to a study of geometry. Throughout the year, the class engages in a variety of real-world applications of their skills. Projects include a unit on intelligent financial practices, maintaining and funding a micro-loan project in developing countries, electronic and hand construction of tessellations, and a scale drawing puzzle project of countries in the Middle East.
7th Grade Advanced Math
The advanced section of math is designed for students with a strong pre-algebra background, a demonstrated aptitude for abstract thinking, and a willingness to work intensively on math. After a quick review of real number properties and operations, focusing on the order of operations, this course covers roughly half of a rigorous Algebra One program. Major topics will include manipulating algebraic expressions, solving a variety of multi-step equations, linear graphing, working with exponents, factoring, rational expressions and problem solving. In addition, extensive work is done in computer programming and data processing. 8th Grade Essential Math
This section is designed to develop both the specific mathematical skills of introductory algebra and the general study skills to help students more successfully demonstrate and build upon their knowledge. After an extensive review of real number properties, especially the order of operations, working with negative and positive integers, recognizing like terms, and distributing, the course will cover many of the elements of algebraic manipulation and problem solving. It is intended to prepare the students to do well in an Algebra One class in 9th grade. Students are expected to take thorough notes and to record each problem in neat, stepwise fashion in an orderly and well-maintained notebook.
8th Grade Regular Math
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This course assumes a solid base in Pre-Algebra: solutions to 1st degree equations, and all basic operations with integers and fractions. Because of developmental readiness some students may be able to finish this course and test out of the Algebra I course, while others will use it as the first part of a two year study of Algebra I. Students plunge right in with the first trimester covering order of operations, solving equations, writing equations from word problems, and coordinate graphing. Daily exercises from the text leading to quizzes and tests are the spine of the course, with other materials, logic problems, and games, fleshing it out. Work with exponents, radicals, and factoring second degree equations make up the bulk of the material for the second trimester, and in the third trimester students study the quadratic formula and perform operations with rational expressions. Pace for this course is not absolute but is determined by the success of the students. If assessments reveal difficulties then material may be revisited to assure greater mastery. Students end the year with a comprehensive exam which is evaluated to determine student placement for the following year.
8th Grade Advanced Math
Algebra I (Adv.) in 8th grade is also part of the Upper School mathematics curriculum at Westtown School and students who successfully complete this course will earn an Upper School credit and meet the prerequisite for Geometry and Geometry (Adv.). Algebra I (Adv.) covers in greater depth and rigor all of the traditional topics in an Algebra I course. After developing the system of Real Numbers as a framework for the study of Algebra, students learn various techniques for simplifying and factoring algebraic expressions, explore concepts in coordinate geometry, and solve linear and quadratic equations and functions as they study a wide-variety of real-life applications problems.