# 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.

## Discuss and Comment

Have few questions or feedback? Feel free to send me(killian.zhuo📧gmail.com) an email!