Objectives: I can convert units using conversion factors in the same system. I can convert units using conversion factors between systems.

Transcription

1 Unit 1: Relationships between Quantities and Reasoning with Equations Lesson 1- Converting Units Objectives: I can convert units using conversion factors in the same system. I can convert units using conversion factors between systems.

2 Warm Up: Fill in the correct number to complete the conversion. How many can you remember?

3 Converting units: When solving a problem, it is important to correctly identify the units being considered or measured. Many times if you recognize the units in a problem, it can help you solve the problem. You may need to convert one quantity in a problem to a different unit in order to find the correct answer. Recognizing what units are being used and converting units accurately is extremely important! Let s see why

4 Mars Climate Orbitor is lost because of wrong conversions between Metric and Imperial units. Watch video by clicking on the world below.

5 On January 26, 2004 at Tokyo Disneyland's Space Mountain, an axle broke on a roller coaster train mid-ride, causing it to derail. The cause was because of a part being the wrong size due to a conversion of the master plans in 1995 from English units to Metric units. In 2002, new axles were mistakenly ordered using the pre-1995 English specifications instead of the current Metric specifications. Conversion Factors We will use conversion factors to write multiplication expressions We will use units to set up conversion factors correctly. These are Conversion 12 inches = 1 foot 1000 meters = 1 kilometer 4 quarts = 1 gallon Factors

6 We will use conversion factors, such as 12 inches equals 1 foot or 1,000 meters equal 1 kilometer, to write multiplication expressions. We will use the units to setup the conversion factors correctly. 12 inches 1 foot 1 ounces 3 feet yard 100 g 5280 mile meters 1 kilometer

7 Think Back What happens when you see something like this? If you have the same units in the numerator and denominator of a fraction, the units will cance

8 Let s try a few Convert 4 miles to feet Convert 8 grams to kilograms Convert 75 days into minutes

9 Think about what we just did and write down the steps you follow to convert one quantity to a different unit.

10 What about if we need to convert between the Metric System and English System? Here are a few conversion factors that may help you Length/Distance Weight Capacity/Volume 1 in = 2.54 cm 1 kg = 2.2 lbs 1 cup = 236 ml 1 mile = 1.61 km 1 ton = 907 kg 1 gallon = 3.79 L

11 Let s try a few Convert 30 in to cm Convert 17 gal to L Convert 7.5 lbs to mg

12 Convert 3 ft to mm Convert 38 kg to lbs Convert 15 L to gal

13 A bolt is ordered with a thread diameter of 1.25 inches. What is this diameter in millimeters? If the order was mistaken for 1.25 centimeters, by how many millimeters would the bolt be in error?

14 A solid rocket booster is ordered with the specification that it is to produce a total of 10 million pounds of thrust. If this number is mistaken for the thrust in Newtons, by how much, in pounds, will the thrust be in error? (1 pound = 4.5 Newtons)

15 1) There are 1,000 grams in a kilogram. How would you convert 600 kilograms into grams? 2) Convert 11,000 mm to inches.