Converting Units Likely the most useful thing you will learn all year.

Slides:



Advertisements
Similar presentations
Section 3B Putting Numbers in Perspective Reprise Pages
Advertisements

Converting Units Likely the most useful thing you will learn all year.
Part 3 Module 6 Units of Measure in Geometry. Linear Measure Linear measure is the measure of distance. For instance, lengths, heights, and widths of.
EXAMPLE 5 Use unit analysis with operations a. You work 4 hours and earn $36. What is your earning rate? SOLUTION 36 dollars 4 hours = 9 dollars per hour.
Measurement Goal 2: Length
Estimating Measures Using Benchmarks
Unit Rates & Conversions How to set up & solve conversions using the unit rate.
Chapter 2 Approaches to Problem Solving
Chapter 2 Approaches to Problem Solving
Cm dm Units of Measure mm km L g.
9.2 Measuring Area and Volume
THE PROBLEM SOLVING POWER OF UNITS 2A. Basics Units of quantity describe what is being measured or counted. We can only add values that have the same.
Copyright © 2011 Pearson Education, Inc. Approaches to Problem Solving.
EOC Practice 24. x + (2x ) + (x ) = 1.8 Which of the following is the value of x? a)0.40 b)0.45 c)0.53 d) (t – 1) = 30t What is.
Chapter 11: Measurement Section 11.1: Fundamentals of Measurement.
Quick Quiz Greg’s car gets 20 miles per gallon. If Greg wants to go on a vacation to San Antonio which is 250 miles away, how much will it cost.
METRIC MEASURES  Know the different units for length, weight, capacity (also in abbreviated form)  Be able to convert from one metric unit to another.
Target: Convert customary and metric measurements.
Practice Using the Factor-label Method
How Can You Measure Matter? To measure matter, systems of standard units have been developed. A standard unit is a unit of measure that people agree.
Metric and Non-Metric Conversion Problems.
Common Abbreviations in Measurement By: Emily Woodard and Abby Skeen.
EXAM 1 Study Aids or… Think, Multiply, Divide, Conquer.
Measurement Review. Basic Measures METRIC Meter Liter Gram US CUSTOMARY Inch, Foot, Yard, Mile Fluid Ounce, Cup, Pint, Quart, Gallon Ounce, Pound, Ton.
International system of unit. International system of units.
Lesson 1 Proportionality Measurement.
2 Approaches to Problem Solving.
MEASUREMENT EQUIVALENCIES
Big Hint Start a reference sheet for conversion factors: –Length; 12 inches = 1 foot, 3 feet = yard, 1,760 yds = 5,280 ft = 1 mile 10 mm = 1 cm, 100 cm.
5-3 Dimensional Analysis Warm Up Problem of the Day
Ch. 7 Learning Goal: Ratios & Proportions
A. Real life examples: 1. How many doughnuts are in 2 dozen? 2. How many quarters are in 4 dollars? 3. How many pairs of shoes do you have if you have.
5-4 Dimensional Analysis Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.
7-3 Analyze Units Warm Up Problem of the Day Lesson Presentation
Ratios, Rates and Unit Rates
MEASURE & UNITS. LENGTH Mile LENGTH Mile Miles are often used to measure long distances where we would use kilometers in Spain. For instance, distance.
Course Dimensional Analysis Warm Up Find each unit rate. 1. Jump rope 192 times in 6 minutes 2. Four pounds of bananas for $ anchor bolts.
Linear Measurement. The U.S. system of measurement uses the inch, foot, yard, and mile to measure length. U.S. Units of Length 12 inches (in.) = 1 foot.
Chapter 2 Approaches to Problem Solving
Pre-Algebra 7-3 Analyze Units
What does conversion mean? A change in the units or form of a number or expression.
Chapter 2 Approaches to Problem Solving Section 2A The Problem Solving Power of Units Pages
Section 3B Part II Putting Numbers in Perspective Pages
Multiple Unit Multipliers Conversion of Units of Area
TICK TOCK, TICK TOCK, TICK TOCK DO NOW: WHAT ARE THE TWO MEANINGS OF THE WORD “TIME” IN PHYSICS?
Since you were a baby, you’ve been involved in measurement.
5-4 Dimensional Analysis Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
Measurement Goal 2: 2.01: Estimate the measure of an object in one system given the measure of that object in another system.
Dimensional Analysis Conversion Factors. A snail slimes his way along a desk. The total distance he traveled was 1.35 meters. How many centimeters did.
Unit 8-1 Units of Measure and conversionsUnits of Measure and conversions.
3.8 Algebra I. We SayAlgebraically The ratio of a to b if a and b are measured in the same unit a/b is a ratio If a and b are measured in different units.
Unit 4 - Set 4: Measurement
Using Ratio Reasoning to Convert Measurement Units
2 Approaches to Problem Solving Working with Units.
DRIVING When do you need to think about numbers when you are driving ?
Unit you are changing into
Unit 2: Lesson 1 Unit Conversions
Speed.
7-3 Analyze Units Warm Up Problem of the Day Lesson Presentation
Ratios, Rates & Conversions
2 Approaches to Problem Solving.
Bell work 9/18 to 9/22.
Lesson 41: Units, Unit Multipliers
4.7 Ratios, Proportions, & Converting Units of Measure
7-3 Analyze Units Warm Up Problem of the Day Lesson Presentation
Approximating vs. Estimating
Apply Properties of Real Numbers
7.3: Analyze Units Objective:
Direct Conversions Dr. Shildneck.
Anna is 60 inches tall. How tall is she in centimeters?
Presentation transcript:

Converting Units Likely the most useful thing you will learn all year.

Lecture Part A. ( Just watch and think ) A sign along the road in Canada says “100 kilometers/hour.” What is this in miles per hour?

=

=

=

=

1.61 km = 1 mile & 1 km = miles =

1.61 km = 1 mile & 1 km = miles =

=

Lecture Part B. ( Just watch and think ) An airplane has a speed of 600 miles per hour. How fast is this in miles per minute?

=

=

=

=

= 1 hour = 60 minutes

=

= 10 miles/min is the same speed as 600 miles/hour

= Wait a tick… Why does this method work?

x ÷ x = ?

= ?

= 1

= This method works because when you multiply by 1 you do not change the value of the quantity. 1

1a. The piece of paper on your desk is 8 1 / 2 inches by 11 inches. In centimeters, how wide is the page?

= cm

How many centimeters equals how many inches? = cm

2.54 centimeters = 1 inch = cm

2.54 centimeters = 1 inch

= 21.6 cm The piece of paper is 21.6 cm wide.

1b. What is the width of the page, in feet?

What is the width of the page, in feet? What should we start with: 8.50 inches, or 21.6 cm?

= ft

How many feet equals how many inches? = ft

1 foot = 12 inches = ft

1 foot = 12 inches

= ft

= ft The page is feet long

2a. A football field is 100 yards. How many inches is this?

= inches

= 3600 inches

2b. How many kilometers long is a football field?

= km

= km

2c. Looking for some extra practice? How long is a football field in: Miles Meters Inches Centimeters

2c. Answers: Miles [0.057] Meters [91.44] Inches [3600] Centimeters [9144]

3. A student is 17 years old. How many hours old is the student?

=

= hours

= 148,920 hours

4. A sprinter is running at 10 m/s. How fast is this, in miles per hour?

miles =per hour

miles =per hour

miles =per hour

miles = 22 per hour

5. A hotel room in Paris is 110 Euros. How much is this in US Dollars?

€110

= $

€110 = $

1 Euro = 1.4 Dollars 1 Dollar = 0.72 Euros €110 = $

1 Euro = 1.4 Dollars 1 Dollar = 0.72 Euros €110 = $

1 Euro = 1.4 Dollars 1 Dollar = 0.72 Euros €110 = $ 154

6a. A shoe box is 5 inches x 3 inches x 11 inches = 165 cubic inches. How many cubic centimeters is this?

= cm 3

= 2700 cm 3

6b. Extra practice: Your desktop is about 200 square inches. What is this area in square feet and square centimenters?

Answers. The area of your desktop is: 1.38 ft 2 1,290 cm 2

7. The density of water is exactly 1 g/cm 3. What is the density of water in pounds per cubic foot?

= pounds per cubic foot

= 62 pounds per cubic foot

8. A truck can unload 100 kg of stone in 2 minutes. How fast is this, in pounds per second?

= pounds / second

= 1.8 pounds / second

9. A landscaper can move 2 kg of soil every minute. How many hours will it take to move 300 pounds?

= hours

= 1.1 hours

Estimating ≈

Which is greater: A.The number of pieces of printer paper, stacked from floor to ceiling. B.The number of walking steps from the High School to the Middle School. C.They are about the same.

How could we estimate option A.?

About how far is it from the floor to the ceiling? How tall is a package of paper?

= sheets

= 27,000 sheets

About how far away is the middle school? About how big is one step?

= steps

= 3,520 steps

btw, 27,000 steps ≈ distance from here to Solon, OH

Which is greater: A.The number of pieces of printer paper, stacked from floor to ceiling. B.The number of walking steps from the High School to the Middle School. C.They are about the same.

E1a. Estimate how many hours a McDonald’s worker must work to earn enough to buy a car. Assume that all the money goes toward the car. $

How much is a car? What is the wage of a McDonald’s worker?

= hours

= 1000 hours

E1b. How many years is this?

= years

= 0.48 years

E2. If you drove from here to San Francisco, about how many times would you stop for gas?

How far away is San Francisco? How far can you drive on one tank of gas? How far can you drive on one gallon of gas? How many gallons fit in a tank?

= tanks

= 8 tanks

E3. If you wanted to buy sliced turkey to feed the entire senior class, how much would that cost?

How many students is that? How much does each student need? What is the cost, per pound?

= $

= $ 500

E4a. About how many hours have you spent in school?

How many years have you been in school? How many days in a year? How many hours in a day?

= hours

= 15,000 hours

E4b. About what percentage of your life have you spent in school? %

How many hours old are you?

= 150,000 hours

E4c. What percentage of your waking life have you spent in school?

How many hours are you awake every day?

= hours

= 99,000 hours