1. Skill: Representing Fractions/Mixed Numbers with models
Math Self Tutor
Skill: Representing Fractions/Mixed Numbers with models

2. Pennsylvania State Standard: M5.A Numbers and Operations
M5.A Use or develop regions and/or sets (e.g. circle graph, base ten blocks) to model fractions and mixed numbers through hundredths (may include reducing fractions)

3. Students will be able to create models that represent a give fraction
Objective

4. Vocabulary Review Fraction: a number that represents parts of a whole
Numerator: indicates the number of equal parts that you are taking from the whole (it is the top number in the fraction)
Example:
Denominator: tells the total number of equal parts into which the whole is divided (the bottom number in the fraction)
Mixed Number: a number that contains a whole number and a fraction. The whole number tells you how many complete objects you have.
Example: 5

5. Examples Whole 7 How many parts did we divide the whole into?
This is your denominator!

6. Examples
Frequently, a change in color indicates what fractional part you have or have taken
So what should our numerator be?
Remember that the denominator is 7 because the object is split into 7 equal parts.

7. Examples
Mixed Number: a number that contains a whole number and a fraction. The whole number tells you how many complete objects you have.
For this slide, we will assume that you have everything that is Yellow.
Ask yourself:
- How many pieces is this split into? (becomes denominator)
- How many do I have? (becomes numerator)
Since we have all the pieces that make up the object, we have 1 whole
Now we have 2 wholes

8. Examples
Mixed Number: a number that contains a whole number and a fraction. The whole number tells you how many complete objects you have.
For this slide, we will assume that you have everything that is Yellow. 2
So your mixed number is

9. Using models to represent fractions
Remember what the parts of the fractions tell you.
Numerator: how many you have
Denominator: how many equal parts are needed for the whole
How can we show two eighths with a model?

10. So how many equal parts do we need to split our rectangle into?
STEP 1: Pick an object that you split (can be a square, rectangle, circle, etc.). Make sure you can split it into equal pieces
Lets use a rectangle
We will use the fraction for our example!
So how many equal parts do we need to split our rectangle into?

11. We need to split the rectangle into 8 equal pieces

12. Step 2: You need to represent the numerator
Step 2: You need to represent the numerator. You can do this by changing the color of the pieces; putting a pattern into the pieces; etc. WHATEVER YOU DO, YOU HAVE TO DO TO EVERY PIECE THAT WILL BE PART OF YOUR NUMERATOR!
SO HOW MANY PIECES DO WE HAVE TO CHANGE?

13. SO HOW MANY PIECES DO WE HAVE TO CHANGE?
Since the numerator is two, we have to change two pieces.
LETS CHANGE THE COLOR

14. We could also put a pattern into the pieces!
IT DOES NOT MATTER WHICH PIECES YOU CHANGE!

15. Practice! What part of the rectangle is shaded? a. 2/3 b. 3/5 c. ¼

16. Practice! What part of the rectangle is shaded? a. 2/3 b. 3/5 c. ¼