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Math

Math at the middle school level is carefully crafted to capitalize on each child’s interests and to maximize student learning. Each grade level builds on and extends concept understanding so students approach each new challenge from a firmly established foundation.

Courses

Math 5

By the end of Math 5, students have increased their facility with the four basic arithmetic operations applied to fractions, decimals, and positive and negative numbers. They know and use common measuring units to determine length and area; they also know and use formulas to determine the volume of simple geometric figures. Students understand the concept of angle measurement and use a protractor and compass to solve problems. They use grids, tables, graphs and charts to record and analyze data.

Math 6

By the end of Math 6, students have mastered the four arithmetic operations with whole numbers, positive fractions, positive decimals, and positive and negative integers. They apply their knowledge to statistics and probability. Students understand the concepts of mean, median and mode of data sets, and how to calculate range. They analyze data and sampling processes for possible bias and misleading conclusions. Students conceptually understand and work with ratios and proportions. They compute percentages. Students know about π and the formulas for both the circumference and area of a circle. They use letters for numbers in formulas involving geometric shapes and in ratios to represent an unknown part of an expression. They solve one-step linear equations.

Math 7

By the end of Grade 7 Math, students are increasingly comfortable with manipulating numbers and equations and understanding the principles at work. Students understand and use factoring of numerators and denominators. Students understand how perimeter and area change with a change in scale. They know and use different representations of fractional numbers and are proficient at changing from one to another. They increase their facility with ratio and proportion, compute percents of increase and decrease, and compute simple interest. They solve one and two step equations and have been introduced to inequalities. They have a solid understanding of integers.

Pre-Algebra

By the end of Pre-Algebra, students are adept at manipulating numbers and equations and understand the general principles at work. Students understand and use factoring of numerators and denominators and properties of exponents. They know the Pythagorean Theorem and solve problems in which they compute the length of an unknown side. Students know how to compute the surface area and volume of basic three-dimensional objects, and understand how area and volume change with a change in scale. Students make conversions between different units of measurement. They know and use different representations of fractional numbers (fractions, decimals and percents) and are proficient at changing from one to another. They increase their facility with ratio and proportion, compute percents of increase and decrease, and compute simple and compound interest. They graph linear functions and understand the idea of slope and its relation to ratio.

Algebra 1

By the end of Algebra 1, students have an understanding of algebraic expressions, formulas, linear equations, inequalities and quadratic equations. Students recognize patterns and see relationships. Students have a working knowledge of exponents, various degrees of polynomials, proportions, functions and radicals. An emphasis is placed on problem solving and real life applications of algebraic understandings.

Geometry

By the end of Geometry, students have an understanding of inductive and deductive reasoning, basic geometric terms, geometric shapes and constructions, areas and volumes, transformations, the Pythagorean Theorem, trigonometry and geometric proofs. An emphasis is placed on problem solving, real life applications of geometric understandings and the use of a program called Sketchpad Design for hands-on geometric discovery.

Math Placement

Students wishing to be advanced a grade level for math are required to sit a placement test during orientation prior to the start of school. Student demonstration of mastery of course content/skills is valued over prior credits earned. A math placement assessment is required for every student wanting to be advanced a grade level and the results of this assessment will determine student course placement regardless of course completion at a student’s previous school.

Concordia International School Shanghai - middle school math

“Mathematical ability comes from being taught math so that understanding is emphasized, ideas are explored, alternate methods are encouraged and the purpose for what is being done is always evident.” – M. Burns