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
