AMC 8(Grade 5-8)

The AMC 8 is a middle school level math competition and the first stage in selecting students to represent the US in the International Math Olympiad. This course covers all of the exam questions from the past three years. The lessons are organized by topics: Arithmetic, Factors, Fractions, Algebra, Geometry, Probability, Graphs, and Combinations in that order. Some topics require more than one lesson because there are many questions in it. It is suitable for students in grades 5-8 who are preparing to participate in AMC8.

Curriculum

● Arithmetic

Lesson 1: Order oÿ Operations, Percentages, Divisibility, Estimation

Lesson 2: Factorial, Mean Median and Mode, Harmonic Mean, Remainder, Combinations

Lesson 3: Telescoping, Tracking Group Elements, Cubes, Square Roots

● Geometry

Lesson 4: 2D Shapes/Area

Lesson 5: Similar Triangles, Triangle Slicing, Triangle, Interior Angles

Lesson 6: 3D Shapes/Distance, Volume, Planes, Inscribed Shapes, Lines of Symmetry

● Factors

Lesson 7: Prime Factorization, Palindromes, Number of Factors, Maximizing Digits

● Fractions

Lesson 8: Ratio Comparisons, Smallest Positive Integer, LCM with Constraints

● Algebra

Lesson 9: Distance Speed and Time, Constraints and Inequality, Compounding

Lesson 10: xy-Plane, Rates, Game Theory, Absolute Value, Quadratics, Groups

● Probability/Graphs

Lesson 11: Independent/Dependent Events, Graph Analysis, Data Visualization

● Combinations

Lesson 12: 2D/Geometric/Conditional Arrangements, Permutations, Binary Logic

Teacher: Mr. Costa(see teacher’sBIO)

Math Competition – Number Theory

This class will introduce students to number theory. Number theory is the study of integers and the relationships between them. It is a very popular subject in competitive mathematics (AMC 10/12, Mu Alpha Theta, etc.) as it allows many arithmetic problems to be solved much more quickly. We will begin with fundamental concepts like prime numbers, divisors, and factorizations, and then move onto more advanced problems dealing with base numbers, modular arithmetic, and linear congruences. In order to accurately represent a competition environment, every lesson will be heavily focused on challenging problems for the corresponding topics, and at least two such problems will be assigned for homework. Solutions will be provided shortly before the following class so that students have time to solve the problems on their own. A pre-test will be administered to gauge how prepared students are for the class.

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Math Challenge III

This Math Class is an extension of the Classic Math School Program. Based on the level of students, we develop students’ creative thinking abilities and math strategies. The course covers a great deal of material and place emphasis on active learning and putting knowledge to use in independent and creative ways. This course is suitable for 4th-5th graders. Students will learn multiplication, division, logic, exponents, fractions, integers, decimals and basic probabilities.

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Math Challenge II

This Math Class is an extension of the Classic Math School Program. Based on the level of students, we develop students’ creative thinking abilities and math strategies. The course covers a great deal of material and place emphasis on active learning and putting knowledge to use in independent and creative ways. This course is suitable for 2nd-3rd graders.

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Math Fun – Creative Thinking II

This “nontraditional” math class aims to provide preschoolers with a rich and engaging environment in which their mathematical thinking ability can be built and developed. The goal of this class is to introduce the “fun” and the “beauty” of math to the young learners to boost their positive attitude toward mathematics before they officially step into schools. In addition, the course focuses on enhancing young learners’ mathematical language skills to improve their expressiveness. Origami, cutting, and small experiments will also be included as class activities to improve children’s observation skills and fine motor abilities. 

  • Creative Thinking II (5 ~ 6 yrs)Syllabus:
  • Logic Reasoning
    • Introduction to coding
    • Word problems
    • Comparison
    • The exploration of patterns
    • Enumeration
  • Math Games (advanced)
    • Number hunt
    • Labyrinth puzzles
    • Sudoku
    • Matchstick puzzles
    • Strategy games
  • Equality (equation with unknowns)
  • Spatial thinking (advanced)
    • 2 D shapes exploration
    • 3 D shapes exploration
    • Shape composition/decomposition
  • Introduction to Transformation (rotation, translation, dilation, & reflection)
  • Time in everyday life
  • Collect & Analyze Data
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Math Fun – Creative Thinking I

This “nontraditional” math class aims to provide preschoolers with a rich and engaging environment in which their mathematical thinking ability can be built and developed. The goal of this class is to introduce the “fun” and the “beauty” of math to the young learners to boost their positive attitude toward mathematics before they officially step into schools. In addition, the course focuses on enhancing young learners’ mathematical language skills to improve their expressiveness. Origami, cutting, and small experiments will also be included as class activities to improve children’s observation skills and fine motor abilities.

  • Creative Thinking I (3.5 ~ 4 yrs) Syllabus:
  • Compare Quantities (more, fewer, & same)
  • Equal share
    • Numbers
    • Quantities
    • Shapes
  • Estimation (number sense)
  • Math Games (basic)
    • Number hunt
    • Labyrinth puzzles
    • Sudoku
    • Matchstick puzzles
    • Strategy games
  • Reflection symmetry (mathematics in everyday life experiences)
  • Spatial thinking (basic)
    • 2 D shapes exploration
    • 3 D shapes exploration
    • Shape composition/decomposition
  • Logic Reasoning (basic)
  • Reserve Thinking (basic)
  • Sorting & Ordering
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