Indirect Measurement.

Slides:

Advertisements

Similar presentations

Scale Factor & Scale Drawings.

Advertisements

5.8 Scale Drawing and Models

I Can Solve Problems Using Scale Drawings!

EXAMPLE 4 Use a scale drawing SOLUTION Maps The scale of the map at the right is 1 inch : 26 miles. Find the actual distance from Pocahontas to Algona.

Unit 6: Scale Factor and Measurement

Learning Target I can use proportional reasoning to solve scale drawing problems.

Scale Drawings and Scale Models

Main Idea/Vocabulary scale drawing scale model scale Solve problems involving scale drawings.

Problem of the Day 1) Find the Length of the missing side.

6-8 Scale Drawings How did they do that????.

Over Lesson 6–5 A.A B.B C.C D.D 5-Minute Check 1 Write a proportion. Then solve. 18 donuts in 3 boxes, 30 donuts in b boxes There are approximately 2.54.

Similarity of Triangles

Scale Factor. Organizer What is it?Find a Scale Factor #1 RuleReal Word Problem Scale Factor.

7.5-Using Proportional Relationships

CHAPTER 7.5.  Indirect measurement is any method that uses formulas, similar figures, and/or proportions to measure an object. The following example.

All scale drawings must have a scale written on them. Scales are usually expressed as ratios. Normally for maps and buildings the ratio: Drawing length:

Similar Figures (Not exactly the same, but pretty close!)

Scale Drawings and Scale Models

Similar Figures (Not exactly the same, but pretty close!)

= = Proportions A proportion is an equation that states

Using Proportional Relationships

Lesson 6: Scale Drawings and Models

Similar Figures (Not exactly the same, but pretty close!)

Find Actual Measurements

Proportion Jeopardy Coming to terms HERatio Don’t tip the scales Turn up the volume Don’t be square Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q.

Bell Work Use a ratio table or set up a proportion to solve the proportion. A man rides his bike at a constant speed for 2 hours and travels 30 miles.

Scale Drawings & Models

Scale Drawing and Models

Scale Drawings Taking a close look at the Statue of Liberty.

Scale Factor and the relationship to area and volume GLE SPI:

§7.5, Using Proportional Relationships

EXIT BACKNEXT Click one of the buttons below or press the enter key.

6-8 Scale Drawings. Scale Drawing/Model  Used to represent objects too large or too small to be drawn or built in actual size  All measurements are.

Transparency 3 Click the mouse button or press the Space Bar to display the answers.

All scale drawings must have a scale on them. Scales are usually expressed as a ratio. Normally, for buildings and models, the ratio is : Drawing Length.

Holt McDougal Geometry 7-5 Using Proportional Relationships Warm Up Convert each measurement ft 3 in. to inches 2. 5 m 38 cm to centimeters Find.

WARM UP Convert each measurement ft 3 in. to inches 2. 5 m 38 cm to centimeters Find the perimeter and area of each polygon. 3. square with side.

Warm up!. Scale drawings are enlarged or reduced drawings that are similar to an actual object or place. – The ratio of a distance in the drawing to the.

 A flagpole is 30 feet tall and casts a shadow that is 18 feet long. If Cynthia is 5 feet tall, what is the length of her shadow?

Similar Figures (Not exactly the same, but pretty close!)

Scale Drawings and Scale Models

Similarity of Triangles

Scale Drawings NOTE TO TEACHERS: This slide includes the title for the notes, and the instructions regarding note-taking style. On subsequent pages,

Using Proportional Relationships

Applying Properties of Similar Triangles

Proportions and Similar Figures

Objectives Use ratios to make indirect measurements.

Scale Factor & Scale Drawings.

7.G.1 Scale Drawings Review

Warm-Up #25 What is a scale factor?

Objectives Students will learn how to use Proportional Relationships to find missing segment lengths.

A scale drawing is a drawing in which all parts of the drawing are reduced or enlarged by the same scale factor. A scale is a ratio that compares the measurements.

7-5 Vocabulary Indirect measurement Scale drawing scale.

Scale Factor & Scale Drawings.

Proportions and Similar Figures

Scale Drawings and Scale Models

ALGEBRA I - SECTION 2-8 (Proportions and Similar Figures)

I Can Solve Problems Using Scale Drawings!

AIM 7-5: How can we use ratios to make indirect measurements?

Similar Figures and Scale

Goal: The learner will use proportions to find measures of objects.

Proportions and Similar Figures

HW L10-3 pg 392 #8-14 L10-3 Notes: Scale Drawings and Models

(-) + (-) = ? (+) x (+)= ? (-)+(+)= ? Ticket in the Door

Proportions and Similar Figures

Bellwork A scale model of the Statue of Liberty is 15 inches tall. If the Statue of Liberty is 305 feet tall, find the scale of the model. A map has.

Presentation transcript:

Indirect Measurement

CFU: 0706.4.1 0706.1.7 0706.1.8 GLE 0706.2.3 SPI: 0706.2.7

Indirect Measurement is a way to find the measurement of things around you. For instance, have you ever wondered if the Statue of Liberty has a nose that is too big?

Typically, your nose is 1/8 the distance of your arm. Try to use that ratio to find the answer about Lady Liberty’s nose. You will need a ruler or tape measure for this.

First measure your arm and your nose…. Write your answers as a ratio: Length of your nose Length of your arm Take a look at the next slide.

Come closer and look at the length of Lady Liberty’s arm. xxxxxxxxxxxxxxxxx

Now take the ratio from your measurements and write the proportion xxxxxxxxxxxxxxxxx

= Length of Lady Liberty’s nose Length of your nose x Length of your arm

= Length of Lady Liberty’s nose Length of your nose x Length of your arm Try measuring your arm raised as if you are holding a torch.

= Length of Lady Liberty’s nose 1 8 x Now let’s use the ratio that your nose is usually 1/8 of your arm……

x xxxxxxxxxxxxxxxxx Click once to see the actual size revealed.

Now let’s try to find the height of the Eiffel Tower. What I know is that on a sunny day, its shadow is 328 feet long.

I know that it takes a fourteen quarters stacked on top of each other to make an inch. What is your value in quarters? Would you be worth more if they were stacked or laid end to end?

If you have ever seen Jurassic Park, you saw how big the dinosaurs were compared to the people. Pretend that they made a large Human to watch over the animals. What would be the scale factor if a 64 inch person was made to be 160 feet?

The scale factor tells you how many times bigger than “normal” that person really is. You must make all units of measure the same…. 64 inches 64 inches 64 inches = = 160 feet 1920 inches 160 x 12

Now take the: 64 inches And simplify 1920 inches 1/30 inches This means that the person was created 30 times his normal size.

A real car is 6 inches long, while the real car is 9 feet long. What is the scale of the model? Remember to put Model on top of the actual measurement, make them the same unit and reduce ! 1 18 6 inches 9 feet 6 inches 108 inches

The diameter of a tire on the model of a car is 0.4 inches. A model car has a scale factor of 1/64… The diameter of a tire on the model of a car is 0.4 inches. What is the diameter of a tire on the actual car? The scale means that the car is really 64 times larger. So, .4 x 64 = 25.6 Hint