Outline of math knowledge for kids
Table of Contents
This page will not be updated any more. The reason is that I found my kid learns too quickly, and I must see him as a fellow but not a kid any more. Now we follow the "Mathematics Trench" outline to learn. You can search it on Google if you are interested.
My 5 years old kid, Josh, likes math pretty much, he always actively askes me to teach him math knowledge from when he was three. So I picked some topics I thought which are suitable for him as listed below. It turns out he enjoys them very much, if your kid likes math as well, this list may give you a roadmap for reference.
[D] Numbers
- Integer, Fraction, Decimal, Per cent
- Odd, Even
- Prime, Composite
- Positive, Negative, Zero
- Rational, Irrational
- Real, Imaginary, Complex
[D] Calculations
- Addition, Subtraction, Multiplication, Division
- Power, Extracting, Logarithm
- Reciprocal, Absolute Value, Opposite
- GCD (greatest common divisor), LCM (least common multiple)
- Modulo
- Decomposition of prime factors
- Factorial
- Law of commutation, Law of association, Law of distribution
- Precedence and parenthesis
[D] Sequences
- Arithmetic Sequences
- Geometric Sequences
- Fibonacci Sequence
[D] Permutations and Combinations
- Permutations
- Combinations
- Cartesian Product
[P] Algebra
- [D] linear equation with one unknown
- [D] linear equation with two unknowns
- [D] quadratic equation
- [D] binomials, binomials expansion
- [D] polynomials
- [P] factorization of polynomials
- [D] functions
[P] Geometry
[D] Analytic Geometry
- number axis
- plane-coordinate system
- space-coordinate system
[P] Linear Algebra
- [D] Matrix
- [P] Matrix Addition, Matrix Multiplication
[P] Trigonometric functions
- [D] sine/cosine/tangent/cotangent
- [P] Trigonometric functions on the unit circle
Notes
[D]means DONE, items with this indicator are well learned by my kid;[P]means PARTIALLY DONE, I have taught my kid about these items, he understands the concepts, but can't apply them well;[T]means TODO, I haven't taught my kid about the items marked with this indicator.- Last updated: 2020.12.14.
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Have few questions or feedback? Feel free to send me(killian.zhuo📧gmail.com) an email!