1. Warm Up
Make as many different mathematical comparisons about the number of cows and pigs on a farm if there are 12 cows and 8 pigs.

2. 5 types of comparisons
Difference- Means subtraction- Usually a part to part comparison
Fraction- Usually a part to whole comparison
Percent- Means out of 100- Usually a part to whole comparison
Ratio- Usually a part to part comparison
Scale Factor- A multiplication comparison

3. Start with next slide 1/29

4. Warm Up
Find the missing side of the similar polygons.

5. Warm Up Find the missing side of the similar polygons. 3 ÷ 2 = 1.5
SF x 1.5
SF x 1.5
8 x 1.5 = 12
X = 12 cm

6. 1.1 What are the 5 types of comparisons? (Describe each)

7. What ways can we compare quantities?
Compare 8 pigs and 12 cows

8. Use the worksheet to take notes on the following slides

9. means subtract Usually a part to part comparison
Difference
means subtract
Usually a part to part comparison
Part - Part = Difference
# # = difference

10. Usually a part to whole comparison
Fraction
Usually a part to whole
comparison
Part
Total =
label =
#’s
Fraction =
reduce

11. means “OUT OF 100” usually a part to the whole comparison
Percent
means “OUT OF 100”
usually a part to the whole comparison
Part
Total =
label =
#’s =
new #
100
Percent = =
new # %

12. usually part to part comparison
Ratio
usually part to part comparison
Part =
label =
#’s
Ratio =
reduce

13. A multiplication comparison
Scale Factor
A multiplication comparison
Original Value x Scale Factor = New Value

14. Difference Compare 12 cows and 8 pigs
How many more cows are there than pigs?
Label – Label = Difference
Cows – pigs = Difference
12 – 8 = 4 more cows than pigs

15. Fraction Compare 12 cows and 8 pigs
Part
Total =
label
#’s
reduce
What fraction of the animals are pigs?
Part
Total =
pigs
Total animals = 8
12 +8 = 8 20 ÷2 = 4 10 ÷2 = 2 5
Fraction = 2
The quantity to the right of the word OF is the total

16. Fraction Compare 12 cows and 8 pigs
Part
Total =
label
#’s
reduce
What fraction of the animals are cows?
Part
Total =
cows
Total animals = 12
12 +8 = 12 20 ÷2 = 6 10 ÷2 = 3 5
Fraction = 3
The quantity to the right of the word OF is the total

17. Percent Compare 12 cows and 8 pigs
x SF
Part
Total =
label =
#’s =
100
New number
Percent = =
New number %
What percent of the animals are cows?
The quantity to the right of the word OF is the total
x 5
Part
Total =
cows
Total animals = 12
12 + 8 = 12 20 =
100 60
Percent = =
60 % of the animals are cows

18. Percent Compare 12 cows and 8 pigs
x SF
Part
Total =
label =
#’s =
100
New number
Percent = =
New number %
What percent of the animals are pigs?
The quantity to the right of the word OF is the total
x 5
Part
Total =
PIGS
Total animals = 8
12 + 8 = 8 20 =
100 40
Percent = =
40 % of the animals are pigs

19. Ratio Ratio = Part = label #’s reduce Compare 12 cows and 8 pigs
What is the ratio of pigs to cows? =
Pigs
Cows = 8 12 = ÷2 4 6 = ÷2
2 pigs
3 cows
Part
For every 2 pigs there are 3 cows
Ratio =

20. Ratio Ratio = Part = label #’s reduce Compare 12 cows and 8 pigs
What is the ratio of cows to pigs? =
Cows
Pigs = 12 8 6 4 = ÷2
3 cows
2 pigs
Part = ÷2
For every 3 cows there are 2 pigs
Ratio =

21. Original Value x Scale Factor = New Value
Compare 12 cows and 8 pigs
How many times larger is the number of pigs compared to the number of cows?
What is the scale factor from cows to pigs?
Cows 12
Pigs 8
Original Value x Scale Factor = New Value
Cows 12
Pigs 8 x =

22. Original Value x Scale Factor = New Value
Compare 12 cows and 8 pigs
How many times smaller is the number of cows compared to the number of pigs?
What is the scale factor from pigs to cows?
Pigs 8
Cows 12
Original Value x Scale Factor = New Value
Pigs 8
Cows 12 x =

23. Taste Test Results
28 choose RC Cola
35 choose Generic Cola

24. Handout WS
Use projector

28. Do Jigsaw with problem 1.1

29. Page 6

30. 1.1 What are the 5 types of comparisons? (Describe each)

31. HW. ACES #1& 2 and similar figures WS.