# Outline of math knowledge for kid

<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

• Power, Extracting
• Reciprocal, Absolute Value, Opposite
• GCD (greatest common divisor), LCM (least common multiple)
• Modulo
• Decomposition of prime factors
• Factorial
• Law of commutation, Law of association, Low of distribution
• Precedence and parenthesis

## [D] Sequences

• Arithmetic Sequences
• Geometric Sequences
• Fibonacci Sequence

## [P] Algebra

• [D] linear equation with one unknown
• [D] linear equation with two unknowns
• [D] binomials, binomials expansion
• [D] polynomials
• [P] factor 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.