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Wednesday, April 18th

Please complete Warm up

1. What percent of 22 is 6?2. The bill at Olive Garden came to

$40.50. If you want to leave a 20% tip, what will your total bill be?

Warm UP

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What did frosty do Wrong?Cheapt Tickets is selling 5

tickets to Taylor Swift’s concert for $540.50. If

Frosty needs 8 tickets, how much will that cost him?

$540.5 8

5

tickets

tickets x

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How can you tell if a ratio is a proportion?

Cross Products must be equal!!!!

12 15

17 24

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Compare multiplying decimals to multiplying fractions

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Copy and Complete

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Fill in the missing pieces!

100

percent

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Percent Practice

Ethan has mowed 40% of his lawn. If he has been mowing for 20 minutes, how long will it take him to mow the rest of his lawn?

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Five Alive

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1. Marta enlarges a photo that is 7 inches high and 4 inches wide. If the height of the enlargement is 10 inches, find the width?

2. How much is a 11% tip on a $20.97 bill?

3. NGMS won 72% of the games they played last season. If they played 15 games, how many games did they win?

4. The price on a book is $12.99. If sales tax is 4%, about how much will its total cost be?

5. The bill for a family dinner comes to $56.78. About how much would a 20% tip be?

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Measurement

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Customary Conversion Factors1 foot = 12 inches1 yard = 3 feet1 yard = 36 inches1 mile = 5,280 feet1 mile = 1,760 yards1 pound (lb) = 16 ounces (oz)1 Ton (T) = 2,000 pounds1 gallon = 4 quarts 1 quart= 2 pints1 pint = 2 cups1 cup = 8 fluid ounces (fl oz)

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Helfpul Hint #1

1 mile=5 “tomatoes”

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Helfpul Hint #2

Green Bay Packer

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Important! Same measurements in the numerator

And Same measurements in the denominator

inches inches

feet feet not feet inches

inches feet

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Stop, Drop, and WatchHow many feet are in 3 miles?

1 3

5,280 ?

mile miles

ft

5,280 3 15,840 1

15,840 feet

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What did Brad Pitt do wrong?How many

cups are in 5 pints?

1 5 int

4 int

20 int

cup p s

p s x

p s

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METRIC CONVERSION

How to convert within

the metric system

© Copyright 2003 - 2004.  M. J. Krech. All rights reserved.

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The Metric Systemis based on sets of

10

1 x 10 = 1010 X 10 = 100

10 x 100 = 1,000

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Is used by scientists

all over the world!

The Metric System

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Naming the Metric Units

• Meter units measure Length

• Gram units measure mass or weight

• Liter units measure volume or capacity.

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Did you also know?

King Henry Doesn’t Usually Drink Chocolate Milk

Memorize      this!

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You must also know…

…how to convert within the Metric System.

We’ll make a handy, dandy device every time we convert!

K H D U D C M

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U: UNITS

Write the units in the middle under the “U”.

mlg

K H D U D C M

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Example #1:(1)Look at the problem. 56 cm = _____

mm

Look at the unit that has a number. 56 cm

On the device put your pencil on that unit. k h d U d c m

km hm dam m dm cm mm

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Example #1:

k h d U d c m

km hm dam m dm cm mm

2. Move to new unit, counting jumps and noticing the direction of the jump!

One jump to the right!

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Example #1:

3. Move decimal in original number the same # of spaces and in the same direction.

56 cm = _____ mm

56.0.

Move decimal one jump to the right. Add a zero as a placeholder.

One jump to the right!

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Example #1:

56 cm = _____ mm

56cm = 560 mm

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What did Adele do wrong?Convert 45 kg to centigrams

Kilo to centi is 6 jumps

SO,

45.00 move decimal 6 times

.000045

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Question

¼ lb=________________oz

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Answer

4

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Question

8 cups =________________fl oz

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Answer

16

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Question

10 quarts =________________gal

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Answer

2.5

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Question

What would be a reasonable measurement for the length of your

front door?Customary

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Answer

Yard

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Question

.00043 kg = ___________g

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Answer

.43 grams

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Matching sides of two or more polygons are called corresponding sides

Matching angles are called corresponding angles.

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Similar FiguresTwo figures are similar if• the measures of the corresponding angles are equal• the ratios of the lengths of the corresponding sides are proportional

Similar figures have the same shape but not necessarily the same size.

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Labeling Similar figures!

< A ___________

EF ___________

BA __________

<F ___________

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Are the following shapes SIMILAR?

5 in

2 in

2 in

1 in

How do you know?

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What is It?Indirect Measurement uses

similar figures and proportions to find height of objects you cannot

measure directly

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You must set up proportions and

solve!!!!! Remember your corresponding

sides!

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Find side length GF

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Find x

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Solve

• A 12 foot flagpole casts an 18 foot shadow. A flower under the flagpole casts a 2 foot shadow. How tall is the flower?

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0011 0010 1010 1101 0001 0100 1011The map shown is a scale drawing.

A scale drawing is a drawing of a real object that is proportionally smaller or larger than the real object.

In other words, measurements on a scale drawing are in proportion to the measurements of the real object.

SCALE DRAWINGS

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BUZZ WORD #2

A scale is a ratio between two sets of measurements.

In the map above, the scale is 1 in:100 mi. This ratio means that 1 inch on the map represents 100 miles.

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Set up a proportion: ratio equals ratio

Scale

factor

Ratio #1 is the scale factor they give you

(first 2 numbers)

Scale scale

factor factor

Ratio #2 place third number according to measurement

Measurements match in numerators

Measurements math in denominators

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Examples

in in

ft ft

ft ft

miles miles

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Is it set up right?Why or why not?

1. The scale on the map is 3 cm: 10 m. On the map the distance between two cities is 40 cm. What is the actual distance?

2. The scale on the map is 10 in: 50. On the map the distance between two schools is 30 in. What is the actual distance?

3 10

40 x

10 30

50 x

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Problem #1 Let’s Try Together!

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The scale on a map is 4 in: 1 mi. On the map, the distance between two towns is 20 in. What is the actual

distance?

20 in. x mi

_____ 4 in. 1 mi

____ =

1 • 20 = 4 • x

20 = 4x

20 4

___ 4x 4

___ =

5 = x

Write a proportion using the scale. Let x be the actual number of miles between the two towns.

The cross products are equal.

x is multiplied by 4.

Divide both sides by 4 to undo multiplication.

5 miles

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Problem #2 Let’s Try Together!

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18 in. x mi

_____ 3 in. 1 mi

____ =

1 • 18 = 3 • x

18 = 3x

18 3

___ 3x 3

___ =

6 = x

Write a proportion using the scale. Let x be the actual number of miles between the two cities.

The cross products are equal.

x is multiplied by 3.

Divide both sides by 3 to undo multiplication.

6 miles

The scale on a map is 3 in: 1 mi. On the map, the distance between two cities is 18 in. What is the

actual distance?

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