Math Department

6th and 7th Grade - Math in Focus Course 1 and 2

Math in Focus is the U.S edition of the Singapore's top-ranking math program. It follows the pedagogical framework that includes emphasizing concept mastery, a concrete-to-pictorial-to-abstract approach, metacognitive reasoning, and the use of model drawing to solve and justify problems. Math in Focus is a mastery program aligned with the Common Core State Standards (CCSS) that blends the following notions to promote student success:

•   A focused and coherent syllabus: Math in Focus introduces fewer topics in each grade, but teaches them to greater depth. Topics are taught to mastery, so they build from year to year across grade levels without repetition.

•   A visual and balanced approach: Math in Focus is highly visual, following a concrete-to-pictorial-to-abstract progression.

•   A focus on numbers and operations: Math in Focus is sequenced in a way that ensures students develop and maintain strong number sense.

•   An emphasis on problem solving using model-drawing: Math in Focus utilizes model-drawing strategies that help students solve both routine and non-routine problems.

•   A recognition of the importance of attitudes and metacognition: The Math in Focus framework emphasizes the importance of attitude and the ability to self-monitor while problem solving to achieve success in math. It provides students with the tools they need to break down complex concepts and problems, which in turn develops positive attitudes.

The content for course 1 includes (6th grade)

Positive Numbers and Number Line, Negative Numbers and the Number Line, Multiplying and Dividing Fractions and Decimals, Ratio, Rates, Percent, Algebraic Expressions, Equations and Inequalities, The coordinate Plane, Area of Polygons, Circumference and Area of a Circle, Surface Area and Volume of Solids, Introduction to Statistics, and Measures of Central Tendency.

The content for course 2 includes(7th grade)

The Real Number System, Rational Number Operations, Algebraic Expressions, Algebraic Equations and Inequalities, Direct and Inverse Proportion, Angle Properties and Straight Lines, Geometric Construction, Volume and Surface Area of Solids, Statistics, and Probability.

8th Grade - Algebra 1

Course Description

This is a first year algebra course in which you will learn to reason symbolically. The key content involves writing, solving, and graphing linear and quadratic equations, including systems of two linear equations in two unknowns. Quadratic equations are solved by factoring, completing the square, graphically, or by application of the quadratic formula. The course also includes study of monomial and polynomial expressions, inequalities, exponents, functions, rational expressions, ratio, and proportion. Algebraic skills are applied in a wide variety of problem-solving situations.

Course Academic Goals

In this course, you will know and be able to:

1. Interpret the meaning of variables and variable expressions

2. Solve linear equations (including proportions) in one variable

3. Apply the concept of absolute value to simple equations

4. Graph a linear function by plotting points, using intercepts, and using the slope and

   y- intercept

5. Sketch the region defined by a linear inequality

6. Derive the equation of a line when given a variety of parameters for that line

7. Solve inequalities in one variable (including those with absolute value)

8. Solve systems of linear equations by graphing, using substitution, and using elimination

9. Solve systems of linear inequalities by graphing

10. Solve quadratic equations by graphing, finding square roots, using the quadratic

     formula, and   factoring

11. Simplify and perform arithmetic operations on and with rational expressions

12.  Solve rational equations

13.  Solve application problems using the above techniques

9th Grade - Geometry

Course Description

Course Description:  This course is designed to emphasize the study of the properties and applications of common geometric figures in two and three dimensions.  It includes the study of transformations and right triangle trigonometry.  Inductive and deductive thinking skills are used in problem solving situations, and applications to the real world are stressed.  It also emphasizes writing proofs to solve (prove) properties of geometric figures.  Students who complete Geometry should take Algebra II next.

Course Learning Goals

The goals for mathematics are to enable students to:

1.  Develop a positive attitude toward the continued learning of mathematics

2.  Appreciate the usefulness, power and beauty of mathematics, and recognize its relationship with other disciplines and with everyday life

3.  Appreciate the international dimensions of mathematics and its varied cultural and historical perspectives

4.  Gain knowledge and develop understanding of mathematical concepts

5.  Develop mathematical skills and apply them

6.  Develop the ability to communicate mathematics with appropriate symbols and language

7.  Develop the ability to reflect upon and evaluate the significance of their work and the work of others

8.  Develop patience and persistence when solving problems

9.  Develop and apply information and communication technology skills in the study of mathematics.

BEIJING SMIC PRIVATE SCHOOL - ENGLISH TRACK Tel: 86-10-67853030 Fax: 86-10-58026784 Email: Address: No. 9 Liang Shui He 2nd Street, Beijing Economic-Technological Development Area, Beijing 100176