###### Math Classes 2020-2021 at Austin Great Wall Chinese School

(Address: Webb Middle School, 601 E St. Johns Ave, Austin, TX 78752)

Course & Fee Informationhttps://agwcs.org/category/course-tuition-payment-and-refund-课程收费和退款/

Fall registration starts from August 5, 2020, you might contact Dr. Shen to choose courses.

Wechat ID:jianshentx

###### 2020 Fall Schedule for After School Programs for 2nd and 3rd Graders

Dates:   Every Tuesday & Thursday or Wednesday & Friday from 8/25 to 12/11.
Holidays: Thanksgiving Week.

###### Holidays: 09/06; 11/29.

Fees & Lecture Time:

Course Description:

02--Math and Reasoning

This is a one-year enhancement course recommended for students in 2nd grade. Semester 1 will cover: Numbers to 1000, Addition, Subtraction, Multiplication, Division, Time and Money. Semester 2 will cover Review multiplication table and application, Fractions, Patterns, Length, Weight, Volume, Geometry, Data and graph, Problem solving.

03--Math and Reasoning

This is a one-year enhancement course recommended for students in 3rd grade. Semester 1 will cover Number sense, Properties, Fractions. Semester 2 will cover Fractions, Decimals, Geometry, Units of measurement, Data and graphs.

04-PreAlgebra

This is a one-year enhancement course recommended for students in 4 th grade. The course will cover the following topics: comparing integers, operations of integers (+,-,X,/), fractions, operations of fractions (+,-,X,/), solving one-step and two-step equations, divisibility rules, measurement, geometry (angle measure, perimeter and area), patterns and sequences.

05-Algebra

This is a one-year enhancement course recommended for students in 5th grade. The course will cover many topics taught in Texas middle schools. Topics (two semesters) include number sense, fraction, operations of fractions, equation with fractions, rounding decimals, equation with decimals, number relations, linear equation, linear inequality, mean median and mode, radical, exponent, divisibility properties, greatest common divisor, least common multiple, factorization of integers, change, percent, ratio, direct proportion, inverse proportion, markup, discount, simple interest, US customary system of measurement, metric system of measurement, scale drawing, speed-distance problems, rectangular coordinate system, point, line segment, square root of whole numbers, Pythagorean theorem, area of triangle, parallelogram, distance formula, midpoint formula, box-method. The course will also teach mental mathematics and will enhance student mental calculation skills in arithmetic. Students will spend 5 minutes in each class in practicing mental mathematics skills.

06-Algebra

This is a one-year enhancement course recommended for students in 6th grade. Topics (two semesters) include distance formula, mid-point formula, graph of a linear equation, equation of a line, intercepts, slope, slope-intercept formula, point-slope formula, graphing, parallel lines, perpendicular lines, system of linear equations, simple and compound interest, financial applications, population growth, linear inequality, system of linear inequalities, triangle inequality theorem, absolute value equation, absolute value inequality, polynomial, operations of polynomials, FOIL expansion, factoring a polynomial, factoring trinomials of the type ax2+bx+c. Prerequisite: 05-Algebra or approved by Dr. Shen.

07-Algebra

08-Algebra

This is a one-year enhancement course recommended for Students in 8th grade. Topics (two semesters) include complex number, operations of complex numbers (+,-,X,/), complex conjugate, review of linear and quadratic functions and their properties, graph transformation, polynomial function and graph, division algorithm, remainder theorem, factor theorem, rational zeros of a polynomial function, conjugate pairs theorem, complex zeros of a polynomial function, irrational zero theorem, radical function, piecewise-defined function, vertical, horizontal, and slant asymptotes of a rational function, polynomial inequalities, rational inequalities, inverse function, exponential function, logarithmic function, equation on exponential functions, equation on logarithmic functions, Sequences, sum of an arithmetic sequence, sum of a geometric sequence. Prerequisite: 07-Algebra or approved by Dr. Shen.

06-Geometry, 07-Geometry

This is a one-year enhancement course for high school Geometry. Geometry is the study of points, lines, surfaces, shapes, 3-dimensional solids, and the relationships that exist between them. Topics (two semesters) include elements of plane geometry, reasoning and proofs, transforming figures, triangles and geometric constructions, congruent triangles, similar triangles, polygons, circles, three-dimensional figures, and circle theorems. Prerequisite: 06-Algebra (Fall) or approved by Dr. Shen. This course is recommended for students in 6 th , 7 th, 8th grades.

06-MathCounts/AMC, 07-Mathcounts/AMC

This is a one-year course preparing middle school students for success on MathCounts and the AMC 8 tests. Prerequisite: 05-Algebra or approved by Dr. Shen. This course is recommended for students in 6th, 7th grades. Students are recommended to take 06-MathCounts/AMC and 06-Algebra at the same time. Topics include mental mathematics, digit root, operation puzzles, number puzzles, continued fractions, properties involving fractions, operations with decimals, repeating decimals, converting repeating decimals to fractions, operations with repeating decimals, operations with percent and interest, problems on fractions, rates, ratios, and continued ratios, mean-median problems, distance-speed problems, substance-concentration-dilution problems, pattern and odd/even parity problems, floor/ceiling functions, modular arithmetic, finding last digits, floor/ceiling equations, exponential equations, Venn diagram, inclusion-and-exclusion problems, counting rules, the Pythagorean theorem, perimeter and area problems.

08-MathCounts/AMC

This is a one-year advanced course preparing middle school students for success on MathCounts and the AMC 8 tests. Prerequisite: 06-MathCounts/AMC or approved by Dr. Shen. This course is recommended for students in 7th, 8th grades. Students are recommended to take 08-MathCounts/AMC and 07-Algebra at the same time. Topics include fractions and repeating decimals, repeating patterns, infinite geometric series, applications of Vieta’s theorem, converse problems, inclusion-and-exclusion, permutations and combinations, mixed problems on permutation and combination, generalized permutations and combinations, counting geometric figures, discrete probability, probability distribution, independence of events, complicate radical equations, complicated absolute equations, system of equations, Cramer’s rule, non-linear equations, non-linear algebraic techniques, binary, octal, and hexadecimal number systems, converting repeating decimal between different number systems, inequalities in geometry, problem solving techniques using area, problem solving techniques using similar triangles, triangle midsegment, hard problems involving area.

10/12-AMC

(2-year course stacked for 10-AMC and 12-AMC) This is a topic-based problem solving course preparing high school students for success on the AMC 10/12 tests. Topics covered will be different for any two consecutive years, and thus students can take the course for up to two years. Prerequisite: 08-MathCounts/AMC or approved by Dr. Shen. This course is recommended for students in 8 th , 9 th, 10th grades. Topics for the 2020-2021 year (Fall and Spring semesters) include 4-step research procedure (pattern -> guess -> conjecture -> proof) in mathematical problem solving, divisibility, divisors, the Euclidean algorithm, Diophantine’s equations, Fermat numbers, Euler’s function, Fermat little theorem, Wilson’s theorem, proof strategies, induction, strong induction, proof by contradiction, research problems and talks, linear congruence equations, system of linear congruence equations, Chinese remainder theorem, applications of Chinese remainder theorem, non-linear congruence equations, factorial function and prime factors, tangle lines of a circle, geometric constructions, power of a point theorem, inequalities in mathematics competition. Topics for the 2021-2022 year will be completely different.

09-PreCalculus

This is a one-year enhancement course for high school Pre-Calculus. Topics include (two semesters) overview of functions and graphs, trigonometry, trigonometric equations, identities, inverse trigonometric functions, complex numbers, exponential forms of complex numbers, De Moivre’s Theorem, vectors, polar equations, parametric equations, dot and cross product, conic sections, probability, statistics and matrices.

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