# Outline of math knowledge for kids

<2020-10-28 Wed>

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

## [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(zhuoql📧zoho.com) an email!

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Last updated: 2021-04-12 Mon 11:51.