1. Bell Work Please get an index card from the back counter.
On it answer the following questions:
What is one thing you like about math (or feel you are good at)
What is one thing you do not like about math (or struggle with)
What is one thing you wish your teacher knew about you
What is one thing you will do in this course to be successful?

2. R.01 Fractions Number Sense
September 3, 2015
Review Unit Fractions
Number Sense
Number Sense - File Under Resources

3. 10 3 What Format? (notes) The preferred format for our course is
‘Improper’ Fractions
10 3

4. Mixed to Improper (notes)
“The Cartwheel”
3 1 4
Multiply then add
Simplify (if necessary)

5. Addition (notes) 5 3 + 1 2 Ensure improper form
Find COMMON DENOMINATOR
ADD the NUMERATORS
Simplify (if necessary)

6. Subtraction (notes) 5 3 − 1 2 Ensure improper form
Find COMMON DENOMINATOR
SUBTRACT the NUMERATORS
Simplify (if necessary)

7. R.01 Fractions
September 3, 2015
Try It!
Change from mixed fractions to improper fractions
Solve
Solve =
2 3 − 11 9 = =
1 1 5 − 4 3 = =
− 9 11 − 1 3 =
2 3 8 =
4 5 9 =
−7 2 3 =
Number Sense - File Under Resources

8. Try It! Solutions
Change from mixed fractions to improper fractions
Solve
Solve
= 11 12
2 3 − 11 9 = − 5 9 =
1 1 5 − 4 3 =− 2 15
= 6 5
− 9 11 − 1 3 = − 38 33
2 3 8 = 19 8
4 5 9 = 41 9
−7 2 3 = − 23 3

9. Addition (activity)
Now that you know the rule to add fractions, I am interested in your deeper understanding. Please explain in detail why your solution makes sense and offer visual proof. =

10. Subtraction (activity)
Now that you know the rule to add fractions, I am interested in your deeper understanding. Please explain in detail why your solution makes sense and offer visual proof. 3 4 − 1 7 =

11. R.01 Fractions
September 3, 2015
Bell Work
You and 11 friends (12 people total) are going to order pizza for dinner. You are very hungry and the pizzas are small, so you order 13 of them.
There are 2 suggestions for dividing the pizza:
Each pizza is divided into 12 slices, and each person gets 13 slices
Each person gets of one pizza, of another pizza, and of another pizza.
Which suggestion do you prefer? Why?
The 2 suggestions are the same… but one gives you really thin pizza slices... This gets to the idea that any fraction can be written as the sum to unique unit fractions
Number Sense - File Under Resources

12. Multiplication (notes)
Ensure improper form
What is the Final Sign? (same signs = positive; opposite signs = negative)
Numerator TIMES Numerator
Denominator TIMES Denominator
Simplify (if necessary)

13. Division (notes) 5 3 ÷ 1 2 Ensure improper form
What is the final Sign?
Numerator (1) TIMES Denominator (2)
Denominator (1) TIMES Numerator (2)
Simplify (if necessary)
Cross Multiply

14. Multiplication (activity)
Now that you know the rule to add fractions, I am interested in your deeper understanding. Please explain in detail why your solution for each of the following makes sense and offer visual proof. 4× 2 3 = 1 8 × 2 3 =

15. Division (activity)
Now that you know the rule to add fractions, I am interested in your deeper understanding. Please explain in detail why your solution for each of the following makes sense and offer visual proof. 1÷ 2 3 = 4 5 ÷ 2 3 =

16. Try It!
Solve
Solve
5 7 ÷ 3 5 = 4 5 ÷ 2 3 = ÷−2 1 3 =
5 7 × 3 5 = =
2 2 3 ∙ − =

17. Try It! Solutions
Solve
Solve
5 7 ÷ 3 5 = ÷ 2 3 = ÷−2 1 3 = − 39 35
5 7 × 3 5 = 3 7
= 27 4
2 2 3 ∙ − =− 4 12