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.

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

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Warm Up Find the missing side of the similar polygons.

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

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

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

Use the worksheet to take notes on the following slides

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

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

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 # %

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

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

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

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

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

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

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

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 =

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 =

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 =

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 =

Taste Test Results 28 choose RC Cola 35 choose Generic Cola

Handout WS Use projector

Do Jigsaw with problem 1.1

Page 6

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

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