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2 4. Using the Distributive Property 5. Formulas: Perimeter, Area, and Average 6. Area Formulas: Parallelograms, Triangles, and trapezoids *Equations and Problem Solving 1. Equations and Inequalities 2. Solving Equations 3. Solving Addition and Subtraction Equations 4. Solving Multiplication and Division Equations 5. Inverse Operations 6. Solving Multi-Step Equations 7. Translating Word Expressions 8. Problem Solving: Writing an Equation *Rational Numbers 1. Factors and Multiples 2. Tests for Divisibility 3. Prime Numbers 4. Prime factorization 5. Exponents 6. LCM and GCF *Fractions 1. Equivalent Fractions 2. Multiplying Fractions 3. Multiplying Mixed Numbers 4. Using Reciprocals to Solve Equations 5. Dividing Fractions and Mixed Numbers 6. Fractions with Like Denominators 7. Fractions with Unlike Denominators 8. Subtracting Mixed Numbers *Probability 1. Ratio and Proportion 2. Ratio and Measurement 3. Probability 4. Independent and Dependent Events 5. Making Choices 6. Permutations *Decimals 1. Rational Expressions 2. Rational Numbers 3. Decimals and Fractions 4. Repeating Decimals 5. Estimating Sums and Differences 6. Scientific Notation 7. Estimating Products and Quotients of Decimals *Percent 1. The Meaning of Percent 2. Decimals and Percents 3. Estimating the percent of a Number 4. Finding the Percent of a Number 5. Interest 6. Discount 7. Solving Percent Equations and Proportions 8. Percent Increase and Decrease Math 5 th Grade 1. Completed 4 th grade math in Chinese School 2. Honor 5 th graders in math in regular school

3 PRE-ALGEBRA, Publisher: Holt, Rinehart and Winston, Inc., 1992 Authors: Eugene D. Nichols, Bonnie H. Litwiller, and Paul A. Kennedy ISBN : Syllabus (from Chapter9 to Chapter16) *Analyzing Data 1. Misleading Graphs 2. Using Data from Graphs and tables 3. Measures of Central Tendency 4. Stem and Leaf Plots 5. Box and Whisker Plots *The Number Line 1. The Set of Real Numbers 2. The addition Property of Inequality 3. The Multiplication Property of Inequality 4. Solving Inequalities 5. Conjunctions 6. Disjunction *The Coordinate Plane 1. Coordinate Graphs 2. Graphing Linear Equations 3. The Standard Form of a linear Equation 4. The Slope of a Line 5. Graphing Equations and Inequalities 6. Translations *Square Roots and Right Triangles 1. Square Roots 2. Using Square Roots 3. The Pythagorean Theorem 4. Similar triangles 5. The tangent Ratio *Polynomials 1. Adding Polynomials 2. Subtracting Polynomials 3. Multiplying Binomials 4. Using the Distributive property 5. Special Products 6. Common factors 7. Factoring a trinomial *Equations in Geometry 1. Angles and Angle Measures 2. Parallel and Perpendicular Lines 3. Triangles 4. Polygons 5. Circumference and Area 6. Circle Graphs *Volume and Surface Area 1. Surface Area and Volume 2. Volume of a Rectangular Prism 3. Surface Area of a rectangular Prism 4. Volume of a Cylinder 5. Volume of a Pyramid 6. Volume of a Cone 7. Volume and Area of a Sphere

4 Math 6 th Grade 1. Completed 5 th grade math in Chinese School 2. Honor 6 th graders in math in regular school ALGEBRA 1, Publisher: Holt, Rinehart and Winston, Inc., 1992 Authors: Eugene D. Nichols, Mervine L. Edwards, etc. ISBN : Syllabus (from Chapter1 to Chapter8) *Introduction to Algebra 1. Algebraic Expressions. 2. Grouping Symbols. 3. Exponents 4. Formulas from Geometry 5. The commutative and Associative Properties. 6. The distributive Property. 7. Combining Like Terms. *Operations with Real Numbers 1. The Set of Real Numbers. 2. Opposites and Absolute Value. 3. Addition on a Number Line. 4. Adding Real Numbers. 5. Subtraction of Real Numbers. 6. Multiplication of Real Numbers. 7. Division of Real Numbers. 8. Mixed Operations. 9. Like Terms. 10. Removing Parentheses. *Solving Equations 1. Solving Equations by Adding or Subtracting or by Multiplying or Dividing. 2. Using two properties of Equality. 3. Equations with variable on both sides. 4. Equation with Parentheses. 5. Problem Solving. *Applying Equations 1. Translating English to Algebra. 2. Problem solving: Two or more Numbers, Consecutive Integer Problems, Perimeter and Angle Measure. 3. Equations with Fractions, with Decimals. 4. Percent Problems. *Inequalities and Absolute Value 1. The Addition, Subtraction, Multiplication and Division Properties of Inequalities. 2. Conjunction and Disjunction. 3. Combining Inequalities. 4. Problem Solving. 5. Equations and Inequalities with Absolute Value. *Powers and Polynomials 1. Multiplying Monomials. 2. Powers of Monomials. 3. Dividing Monomials. 4. Negative Exponents. 5. Scientific Notation. 6. Simplifying Polynomials. 7. Addition, subtraction and Multiplication of Polynomials. *Factoring Polynomials 1. Introduction of Factoring.

5 2. Greatest Common Monomial Factor. 3. Factoring Trinomials. 4. Combined Types of Factoring. 5. Solving Quadratic Equations by Factoring. 6. Problem solving. *Rational Expressions 1. Simplifying Rational Expressions. 2. Multiplying and Dividing Rational Expressions. 3. Adding and Subtracting Rational Expressions. 4. Dividing Polynomials. 5. Complex Rational Expressions. Math 7 th Grade 1. Completed 6 th grade math in Chinese School 2. Honor 7 th graders in math in regular school ALGEBRA 1, Publisher: Holt, Rinehart and Winston, Inc., 1992 Authors: Eugene D. Nichols, Mervine L. Edwards, etc. ISBN : Syllabus (from Chapter9 to Chapter16) *Applying Rational Expressions 1. Rational Equations 2. Ratios and Proportions 3. Literal Equations 4. Problem Solving: Motion Problems 5. Problem Solving: Work Problems 6. Dimensional Analysis *Relations, Functions, and Variations 1. Coordinates of Points in a Plane 2. Relations and Functions 3. Values of a Function 4. Equations with Two Variables 5. Graphing Linear Equations 6. Direct Variation 7. Inverse Variation *Analytic Geometry 1. Slope of a Line 2. Equation of a Line: Point-Slope Form 3. Equation of a Line: Slope-Intercept Form 4. Line Relationships 5. Graphing Linear Inequalities *Systems of Linear Equations 1. Systems of Equations-Graphing 2. The Substitution Method 3. Problem Solving: Using two Variables 4. The Addition Method 5. The Multiplication with Addition Method 6. Problem Solving: Digit problems 7. Problem Solving: Age Problems 8. Problem Solving: Coin and Mixture problems 9. Problem Solving: Motion Problems 10. Systems of Inequalities *Radicals 1. Rational Numbers and Irrational numbers 2. Square Roots

8 1. Introduction to Conic Sections 2. Parabolas 3. Circles 4. Ellipses 5. Hyperbolas 6. Solving Nonlinear Systems *Discrete Mathematics: Counting Principles and Probability 1. Introduction to Probability 2. Permutations 3. Combinations 4. Using Addition with Probability 5. Independent Events 6. Dependent Events and Conditional Probability 7. Experimental Probability and Simulation *Discrete Mathematics: Series and Patterns 1. Sequences and Series 2. Arithmetic Sequences 3. Arithmetic Series 4. Geometric Sequences 5. Geometric Series and Mathematical Induction 6. Infinite Geometric Series 7. Pascal s Triangle 8. The Binomial Theorem *Discrete Mathematics: Statistics 1. Measures of Central Tendency 2. Stem-and-Leaf Plots, Histograms, and Circle Graphs 3. Box-and-Whisker Plots 4. Measures of Dispersion 5. Binomial Distributions 6. Normal Distributions *Trigonometric Functions 1. Right-Triangle Trigonometry 2. Angles of Rotation 3. Trigonometric Functions of Any Angle 4. Radian Measure and Arc Length 5. Graphing Trigonometric Functions 6. Inverse of Trigonometric Functions *Further Topics in Trigonometry 1. The Law of Sines 2. The Law of Cosines 3. Fundamental Trigonometric Identities 4. Sum and Difference Identities 5. Double-Angle and Half-Angle Identities 6. Solving Trigonometric Equations Syllabus (GEOMETRY: from Chapter1 to Chapter6 or more depend on students level) *Exploring Geometry 1. Basic terms 2. Length and angles measurement 3. Co-linearity, parallel and perpendicular 4. Compliment and supplement angles, vertical angles *Reasoning in Geometry 1. Paragraph prove and 2-column prove 2. Definitions, postulates, theorems 3. Deductive structure, logic statement, reverse, inverse, contra-positive and alternate prove

9 4. Addition, subtraction, multiplication and division properties 5. Transitive and substitute properties *Triangle Congruence 1. Three basic ways to prove triangle congruence 2. CPCTC 3. Types of triangles, angle-side theorems, HL postulate *lines in a plane 1. Equal-distance theorem 2. Indirect prove 3. Parallel lines * Parallels and Polygons 1. Introduction to polygons 2. Properties of quadrilaterals 3. Parallelogram and other special quadrilaterals: definitions and prove 4. More theorems for triangles 5. Polygons and regular polygons *lines and planes in space 1. Three-dimensional figures 2. Lines perpendicular to a plane: definition and prove 3. Basics of parallel planes * Similar triangles and misc. 1. Similar triangles 2. Pythagorean Theorem 3. Areas and volumes 4. Basic of Coordinate Geometry Math SAT / ACT. 1. Completed 8th grade math in Chinese School 2. 8th or higher graders in regular school. Duration of the class 2 hour/week

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