Unit 3: Fractions

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MTE 280: Elementary Mathematics

luonut Megan Flanagan

Elementary Math 280

luonut jackie shipman

Desk Tidy

luonut Nur Syafiqah Kamal Abdul Zaman

Marvelous Math

luonut Grace Bradley

Unit 3: Fractions

Other ways of solving...

-adding up

-compensating

-decomposing

-holy shift

-partial differences

-traditional

Practice Problem

Question: If I ran for 1/3 of an hour, and walked for 1/4 of an hour, how much time would that be? What fraction of an hour is that?

Fraction: 35/60 (35 minutes of the 60 minutes in an hour)

20+15=35 minutes of the hour

Walking= 15 minutes of an hour

Running= 20 minutes of an hour

Saying Fractions

7/8- seven 1/8 pieces 5/3- five 1/3 pieces 10/4- ten 1/4 pieces

Spatial Relationships

An example of this is when you have the fraction 5/4. You have a full block of 4/4 and 1/4 left over in the other block. This "spaces" the 1/4 fractions out separatley.

Having a picture of the number, including where it lies on the number line

Reviewing Fractions...

Fractions and decimals vs. percents

Table of converting fractions to decimals to percentages!

MULTIPLYING FRACTIONS

When you are solving a multiplication problem such as 6/10x 4/5, you can just cross multiple both fractions. Such as multiplying 6 x 4= 24 and 10 x 5= 50 which makes it 24/50. From there you can simplify. Such as... 12/25.

Shapes

Using a hexagon as the whole, we found that... -6 green triangles fill it -3 blue rhombi fill it -2 red trapezoids fill it

Using block shapes helps create a visual for how to partition and use unit iteration.

Partitioning and Unit Iteration

Unit Iteration: Consistently repeating a unit to "build" a whole

Partitioning: "Splitting" the whole into equal parts

Units

The whole of the amount you are using:

example: -I eat 3 hard boiled eggs every morning...

-How many eggs are a unit (whole breakfast)? - 3

-How many days worth in 2 dozen? - 1/8

-How many days worth in a dozen? - 1/4