ESH120 Lecture 5: Week 5- Proportional reasoning
Proportional*Reasoning-The* Question:
https://www.youtube.com/watch?v=clfLsuQYxjs #action =share
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Proportional*Reasoning-The* Solution:
https://www.youtube.com/watch?v=4rNJcSFq VL4#action=share
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The* Fundamentals* of Mathematics-Fractions:
https://www.youtube.com/watch?v =Q_I2DKjhkFM #action =share
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Lecture
Reading
Notes
Sue* is*painting* her* room*orange.* She* will* use*4*tins*of*red*and* 2*tins*of*yellow.* Jenny* wants* to*paint*her* lounge* the* same*
colour*but*she* will*need*a*lot*more*paint*than*sue.*She*has*5*tins*of*yellow* paint,*how*many*tins*of*red* will*she*need?
Example* adapted* from*Mis ailidou* &*Williams* (2 002)
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Notes*From*Proportional*Reasoning*Question*Lecture
Using*multiplicative* thinking.*Since*sue*uses*2*tins*of*red*paint*for*every* tin*of*yellow* paint,*jenny*will*need*10*tins*of*red*
paint.*Note:*Children*might*use*additional*thinking.
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Notes*From*Proportional*Reasoning*Solution*Lecture
The$ Fundamentals
The* Numerator:* is*on*the*top*of*a* fraction.* It* tells*us*how* many
The* denominator:* is*on*the* bottom* of*a*fraction.* It* tells*us *the* size
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How$Do$We$Use$Factions
-To*represent* a*part* of*a*whole
-To*represent* a*point*on*a* line
-To*represent* a*proportion*of*a* s et
-To*represent* a*divis ion
-To*refer* to*a* ratio
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Equivalent$ Fra ctions
3/4*and*6/8*equal*the*same*amount
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Addition$and$Subtraction
-By*using*the*process*of*equivalent* fractions
-The* denominator* gets* turned*into* the*s ame* number
-Example:* 2/5*+* 1/3
2/5*=*6/15
1/3*=*5/15
6/15*+*5/15*=*11/15
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Notes*From*Fractions*Lecture
Week$5-Proportional$reasoning