Mathematics

Arithmetic

Part of Arithmetic, level 0. About 12 hours of study across the topics below.

Number Systems

  1. Natural Numbers1–1.5 h
  2. Integers1–1.5 h
  3. Rational NumbersFractions as numbers, terminating vs repeating decimals1–1.5 h
  4. Real Numbers OverviewNumber line, ordering, density1–1.5 h

Fractions, Decimals & Percentages

  1. Fraction Operationsaddition, subtraction, multiplication, division, simplification1–1.5 h
  2. Decimal Operationsplace value, rounding, significant digits intro1–1.5 h
  3. Percentagespercent change, markup, discount, compound percent1–1.5 h
  4. Ratios & Proportionsunit rates, scaling, cross multiplication1–1.5 h

Exponents & Roots

  1. Integer Exponentsproduct/quotient/power rules, zero and negative exponents1–1.5 h
  2. Roots & Radicalssquare/cube roots, fractional exponents, estimation1–1.5 h
  3. Scientific Notationorder of magnitude, operations in scientific notation1–1.5 h
  4. Order of OperationsPEMDAS, grouping symbols, evaluating expressions1–1.5 h