Mind map

Fractions

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Map content

Fractions

Equivalance
- Comparing and ordering fractions
  - Number lines
    - Numbers between numbers
      - Fractions between fractions
        Density property of fractions
  - Improper fractions and mixed numbers
  - Estimation
  - Adaptive reasoning
  - Drawing pictures to represent quantities
- Benchmarking
- Converting
  - Decimals
    - Place value
  - Percentages
  - Cross multiplying
  - Ratio
- Proportionality
  - Use of manipulatives
Base-ten number system
- Four operations
  - Division
    - Partioning
      - Equal shares
        Part-whole
        Arrays
        Partitive division
        Quotitive division
        Representations
        Pictorial
        Symbols
        Fractional notation
        Physical
        Concrete
        Pattern blocks
        Geoboards
        Fraction bars
        Grid paper
        Region model
        Verbal
        Authentic
        Constructivist learning
      - Residual thinking
  - Subtraction
  - Additon
  - Multiplication
    - Multiplicative thinking
- Counting
  - E.g. One fourths, two fourths, etc
Language
- Halves
- Thirds
- Fourths
- Fifths
- Mathematics literature
  - E.g. Hershey's Milk Chocolate Fraction Book
Measurement
- Knowing the relationship between units
- Fractions as operators
- Unitising with fractions
Place Value