Wednesday, April 18 th Please complete Warm up 1. What percent of 22 is 6? 2.The bill at Olive Garden came to $ If you want to leave a 20% tip, what will your total bill be?

What did frosty do Wrong? Cheapt Tickets is selling 5 tickets to Taylor Swift’s concert for $ If Frosty needs 8 tickets, how much will that cost him?

How can you tell if a ratio is a proportion? Cross Products must be equal!!!!

Review Compare multiplying decimals to multiplying fractions

Copy and Complete

Fill in the missing pieces!

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?

Five Alive

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 $ If sales tax is 4%, about how much will its total cost be? 5.The bill for a family dinner comes to $ About how much would a 20% tip be?

Customary Conversion Factors 1 foot = 12 inches 1 yard = 3 feet 1 yard = 36 inches 1 mile = 5,280 feet 1 mile = 1,760 yards 1 pound (lb) = 16 ounces (oz) 1 Ton (T) = 2,000 pounds 1 gallon = 4 quarts 1 quart= 2 pints 1 pint = 2 cups 1 cup = 8 fluid ounces (fl oz)

Helfpul Hint #1 1 mile=5 “tomatoes”

Helfpul Hint #2 Green Bay Packer

Important! Same measurements in the numerator Same measurements in the denominator

Stop, Drop, and Watch How many feet are in 3 miles?

What did Brad Pitt do wrong? How many cups are in 5 pints?

METRIC CONVERSION How to convert within the metric system © Copyright M. J. Krech. All rights reserved.

The Metric System is based on sets of 10 1 x 10 = X 10 = x 100 = 1,000

Is used by scientists all over the world! The Metric System

Naming the Metric Units Meter units measure Length Gram units measure mass or weight Liter units measure volume or capacity.

Did you also know? King Henry Doesn’t Usually Drink Chocolate Milk Memorize this!

You must also know… …how to convert within the Metric System. We’ll make a handy, dandy device every time we convert!

U: UNITS Write the units in the middle under the “U”. mlgmlg

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

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!

Example #1: 3. Move decimal in original number the same # of spaces and in the same direction. 56 cm = _____ mm Move decimal one jump to the right. Add a zero as a placeholder. One jump to the right!

Example #1: 56 cm = _____ mm 56cm = 560 mm

What did Adele do wrong? Convert 45 kg to centigrams Kilo to centi is 6 jumps SO, move decimal 6 times

Question ¼ lb= ________________oz

Answer 4

Question 8 cups = ________________fl oz

Answer 16

Question 10 quarts = ________________gal

Answer 2.5

Question What would be a reasonable measurement for the length of your front door? Customary

Answer Yard

Question kg = ___________g

Answer.43 grams

Matching sides of two or more polygons are called corresponding sides Matching angles are called corresponding angles.

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

Labeling Similar figures!

Are the following shapes SIMILAR?

What is It? Indirect Measurement uses similar figures and proportions to find height of objects you cannot measure directly

You must set up proportions and solve!!!!! Remember your corresponding sides!

Find side length GF

Find x

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?

The 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.

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.

Set up a proportion: ratio equals ratio Ratio #1 is the scale factor they give you (first 2 numbers) Ratio #2 place third number according to measurement Measurements match in numerators Measurements math in denominators

Examples

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?

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

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?

Classwork