# Fractions

- Created by: LilyMaiden
- Created on: 21-12-19 23:45

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- Fractions
- Related Topics
- Prior Knowledge
- division
- B.I.D.M.A.S.
- factors
- lowest common multiple
- multiplication

- percentages
- /100
- Converting fractions to mixed numbers/ decimals/ percentages

- decimals
- Converting fractions to mixed numbers/ decimals/ percentages

- sequences
- ratios
- probability
- rates of change
- graphs
- gradients

- proportion
- Algebra

- Prior Knowledge
- Key Terminology
- Denominator
- Lowest common denominator
- lowest common multiple

- Lowest common denominator
- Numerator
- equivalence
- mixed numbers
- top heavy fractions

- simplify
- ordering fractions
- part-whole meaning
- reciprocal

- Denominator
- Effective Methods
- Real life applications and situations
- Visual Representations
- bars
- pie charts
- number-lines

- factor trees
- Relating to physical items
- pizza
- coins
- cake

- manipulatives
- Relating to physical items
- pizza
- coins
- cake

- Relating to physical items
- showing why a method works
- reasoning and mastery

- Possible Misconceptions
- Whole Number Bias (Siegler, 2011)
- a/b + c/d = (a+c)/(b+d)
- Treating the numerator and denominator as you would integers
- ordering fractions by the denominator
- larger denominator means the fraction is larger
- multiplication makes numbers bigger
- division makes numbers smaller

- Learning rules without understanding them
- division and fractions are different topics
- cross-multiplication instead of multiplication
- confusing operators
- adding to the numerator and denominator to achieve equivalence
- distributive propertiees
- negative fractions don't exist
- a/a is the same as 1

- Whole Number Bias (Siegler, 2011)

- Related Topics

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