Dimensional Analysis Converting from one unit to another unit

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Presentation transcript:

Dimensional Analysis Converting from one unit to another unit

Table Groups You will see a question on the projector As a group come up with your best answer Write it LARGELY on your whiteboard When told to do so you will hold your whiteboard up for me to see. If correct you will earn a point Winners get a prize! 

STARTING VALUE KNOWN VALUE GIVEN Q1: In the drawing of the buyer’s thoughts, what does “2 pounds” represent? STARTING VALUE KNOWN VALUE GIVEN

Q2: In the buyer’s thoughts, which part is a CONVERSION FACTOR $1.99 1 pound

Q3: What unit does the final answer have? $

The “pounds” CANCELS out! Q4: Why does “pounds” disappear in the final answer? Explain using a MATH term! The “pounds” CANCELS out!

Q5: Another market offered 5 pounds of apples for $6 Q5: Another market offered 5 pounds of apples for $6. SHOW using DA how the buyer would do this problem. She still needs 2 pounds! 2lbs $6 = $2.40 5 lbs

Q6: How much money will the buyer save by switching to the other market? $3.98 - $2.40 = $1.58

And the winner of Round 1 is…

Q1: Based on Model 2, complete the following equality statements 1 in = ___ cm ____in = 1 foot 1 in = 2.54 cm 12 in = 1 foot

Q2: Write each of the equalities as a fraction 1 in = ___ cm ____in = 1 foot 1 in 12 in 2.54 cm 1 foot

Q3: Houston Rocket’s basketball player Yao Ming is 7. 5 feet tall Q3: Houston Rocket’s basketball player Yao Ming is 7.5 feet tall. Show using DA how tall he is in INCHES 1 in = ___ cm ____in = 1 foot 7.5 ft 12 in = 90 in 1 ft

Q4: Now convert his height from inches to centimeters using DA 1 in = ___ cm ____in = 1 foot 90 in 2.54 cm = 228.6 cm 1 in

Q5: Using one long multi step DA problem convert his height from feet to cm! 1 in = ___ cm ____in = 1 foot 7.5 ft 12 in 2.54 cm = 228.6 cm 1 ft 1in

No! Multiplying and dividing can be in any order! Q6: Does the order of the conversion factors matter? 1 in = ___ cm ____in = 1 foot No! Multiplying and dividing can be in any order!

And the winner of Round 2 is…

The Jabberwocky!