Flashcards
Math Exam prep
Cards in this deck (25)
- 1Fractional thinking concept map stage 1Partitioning and divided quantities
- Involves dividing an object into parts
- sharing into equal sized parts
- recognise part-whole relationship between numerator and denominator
- use a variety of representations to understand no just memorise - 2Fractional thinking concept map stage 2Fractions as part whole relationships
- 3Fractional thinking concept map stage 3Equivalence
-realise fractions have a size
- can be compared and ordered
- use drawings, shapes, benchmarks
- identifying fractions with same denominator/numerator
- converting - 4Fractional thinking concept map stage 4Fractions and number lines
- place fraction on number line
- ability to compare and order fractions
- follows from part-whole understanding
- can visualise the size
- good tool for representing and comparing - 5Fractional thinking concept map stage 5Adding and subtracting fractions
- 6Fractional thinking concept map stage 6Unitising
- 7Fractional thinking concept map stage 7Fractions as operators
- 8Fractional thinking concept map anagramDo (divided)
People (part whole)
Even (equivalence)
Need (number line)
An (adding and sub)
Ugly (unitising)
Octopus (operators) - 9Dividing a fractionNumber gets larger
- 10Multiplying a fractionNumber gets larger
- 112 divided by 1/8 = ??? (word story)Miss Brown brings 2 cakes to school. Each child can have 1/8. How many children end up receiving a piece of cake?
- 125/6 multiplied (of) 12 = ??? (story)Dad has a lawn that is 12 metres long. He has mowed 5/6 of the lawn, how many metres of lawn has Dad mowed?
- 13Benefits of Paper stripsEasily manipulated
use any fraction large or small
can represent choc bar or similar context
you can see the whole and its parts
used for additive or mult thinker
can compare with other fractions on paper strips - 14Benefits of pie segmentsShows the whole
Each whole can be divided accordingly
represent a variety of contexts (pie, cake)
visual aid
physical aid
use for imaging later in life - 15Benefits of interlocking cubesCan use whole number (15 blocks)
can use a factor (5 representing 3 each)
split and join easily
Can form a range of fractions/numbers
see the whole
additive and mult thinkers - 16Benefits of fraction wallSee the fractions they relate to
Compare sizes of fractions
Order fractions
once order largest to smallest - equivalent fractions are a next step - 17Year 4 strategy 3/5 of 5 = ???use denominator to split into that many parts (5)
split the amount evenly (3 each)
count up the fraction that is being asked
(3+3+3) - 18Year 6 strategy 4/6 of ??? = 32divide total number by numerator (32/4)
to find how any in each group (8)
if there are 6 groups (6x8) - 19year 8 strategy (within and between)place numbers on number line to find an unknown
within- relationship that goes top to bottom
between - relationship that goes side to side - 20Fraction languageVery important to introduce fraction language
numerator
denominator
build on fraction schemata - 21POLYA (1945)understand
plan
do
check - 22Skemp (1976)Relational and instrumental understanding
R: meaningful learning, connections of concepts and ideas
I: Rote learning, rules without reasons - 23Instrumental advantages- teachers usually learnt that way so its easier
- faster for students to pick up
- rewards are more immediate
- less knowledge is involved - 24Relational advantages- adaptable to new tasks
- its a goal in itself
- easier to remember
- schemas are organic in quality - 25Young-Loveridge- builds on additive as a foundation
- materials to develop imagery
- need to understand the relationship between the diagram and the problem
Information
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- 204
- Created by
- Jordyn Pitman · Oct 2015
- Updated
- Apr 27, 2016
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