Unit 3: Fractions

The whole of the amount you are using:

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

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

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

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

Partitioning: "Splitting" the whole into equal parts

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

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

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

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.

Fractions and decimals vs. percents

Table of converting fractions to decimals to percentages!

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

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.

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

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?

Running= 20 minutes of an hour

Walking= 15 minutes of an hour

20+15=35 minutes of the hour

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

-traditional

-partial differences

-holy shift

-decomposing

-compensating

-adding up