Math Challenge (Gr.1- Gr.3)

Math is for everyone. If kids begin to enjoy the magic of Math they will surely fall love with Math. When it comes to learning, we need to meet our children at where they are, instead of following rigid guidelines based on their age. Kids love challenges. When they are challenged with suitable questions, they will be inspired and enjoy the exploration.

This introductory math class is built upon the Singaporean curriculum and supplemented with challenging problems, designed for children who are interested and motivated. It aims to both build a more solid foundation based on what they already know and offer more knowledge to build even higher. Focusing on the mathematical skills that children will need to master, this class not only makes sure children excel at the math problems, but also develop a solid frame of mathematical knowledge. Children will acquire meticulous ways of approaching math, and form intuitions that will benefit them long-term, in preparation for competitions and further challenges.

Session 1, 5 classes, Nov- Dec

Lesson 1

  • Counting and comparing numbers

Lesson 2

  • 2-digit addition and subtraction

Lesson 3

  • 4-digit addition and subtraction

Lesson 4

  • Addition and subtraction word problems

Lesson 5

  • Introduction to multiplication and division

Session 2, 19 classes, Jan- May

Lesson 6

  • 2-digit by 1-digit multiplication and division

Lesson 7

  • Quotient and remainder

Lesson 8

  • More advanced multiplication and division

Lesson 9

  • Multiplication table

Lesson 10

  • Review of addition, subtraction, multiplication, and division

Lesson 11

  • Mental calculation of addition, subtraction, multiplication, division

Lesson 12

  • Counting and calculating money

Lesson 13

  • Decimals

Lesson 14

  • Imperial unit system

Lesson 15

  • Metric unit system

Lesson 16

  • Reading bar graph

Lesson 17

  • Introduction to fraction

Lesson 18

  • Comparing fractions

Lesson 19

  • Equivalent fractions

Lesson 20

  • Counting and calculating time

Lesson 21

  • Introduction to geometry, angles

Lesson 22

  • Area

Lesson 23

  • Perimeter

Lesson 24

  • Review of geometry

TeacherMr. Lance (see teacher’sBIO)

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.

Continue reading

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.

Continue reading

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.

Continue reading

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
Continue reading

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
Continue reading