“…the creation of equal parts of a single whole, collection or combination or wholes and parts”
Partitioning Micro Content
- Objects, quantities and collections can be shared to create equal parts
- There is a relationship between the number of parts and the size and name of the parts and the number of parts increases as the size or share decreases
- Objects, quantities and collections can be repeatedly halved and doubled e.g. use successive splits to show that one half is equivalent to 2 parts in 4, 4 parts in 8 etc.
- An object, quantity or collection can be partitioned into a number of equal portions to show unit fractions so that say one third is more than one fourth etc.
- The relative magnitude of a fraction is dependent on the relationship between the numerator (how many parts) and the denominator (total parts)
- Fractions are renamed as equivalents where the total number of parts (denominator) and required number of parts (numerator) are increased by the same factor
- Fractions with unlike denominators can be compared and ordered
- Common fractions and decimal fractions can be compared, ordered and renamed in conceptual ways
- Construct of fraction as division can be used to produce equal parts (equipartitioning)
- Fractions are used to describe quotients and operators
- Fractions are used to describe part-whole relations
- Fractions are used to describe simple ratios
- Percentages, fractions and decimals express the relationship between two quantities
- Percentages are special part : whole ratios based on 100
- Any given percentage can be used as a ratio to generate an infinite number of equivalent fractions (e.g. 50% = ½ 2/4 3/6 etc.)
- Multiplicative arrays can be used to represent fractions, decimals and percentages
- Benchmark fractions, decimals and percentages which are the equivalents of one another, can be used to estimate and to solve problems