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Dimensional analysis.

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Presentation on theme: "Dimensional analysis."— Presentation transcript:

1 Dimensional analysis

2 Starter Activity C – 2 (small group voice)
H – use your group; raise hand A – starter activity M – none P – complete assignment

3 5 MIN STARTER ACTIVITY 5 MINUTES

4 Notes – Dimensional Analysis
C – 0 H –raise hand A – guided notes & practice M – none P – complete assignment

5 Starter activity Although the pencil length and water bottle volume did not change, you were able to record the values in more than one unit. "Do you need to always re-measure an object if you want to record a new unit value?"

6 Used to convert between units…
Dimensional Analysis Used to convert between units… Equivalence Statement: Relates the same amount (quantity) in 2 different units. Ex: cm = 1 inch. conversion factors: relates equivalence in a ratio Ex: 2.54cm or 1 in 1 in___ 2.54 cm

7 Dimensional Analysis-
Converting from a known unit to an unknown unit 3 steps: 1. What do I know? (underline) 2. What do I want to know? (circle) 3. How do I get there (equivalence statements)?

8 These dominos are set up in a pattern… can you see it?
What would be the next 3 dominos in the series? After can you see it, pause… what are the next 3 dominos in the series? Look only at the units, is this unit conversion set up like the dominos?

9 Ex.A. You’ve collected 1,200 pennies. How much is this in dollars?
equivalence statement  100 pennies = 1 dollar 3 steps: 1. What do I know? (underline) 2. What do I want to know? (circle) 3. How do I get there (equivalence statements)? 12 = dollars

10 Ex.B. A new baby weighs 7.8 lb, What is it’s mass in kilograms?
equivalence statement  1kg = lb. 3 steps: 1. What do I know? (underline) 2. What do I want to know? (circle) 3. How do I get there (equivalence statements)? = 3.5 kg

11 Ex.C. How many seconds are in 2 days?
equivalence statement(s)  1 day = 24 hrs, 1 hr = 60 min, 1 min= 60s 3 steps: 1. What do I know? (underline) 2. What do I want to know? (circle) 3. How do I get there (equivalence statements)? = s

12 Practice Appointments
Find 1 partner & complete the word problem Find a new partner for each question You will have 4 minutes a question SHOW YOUR WORK!

13 Examples: Convert the following: show all of your work!!!!
Appt A: seconds to milliseconds (note: 1000 milliseconds = 1 second) 4 MINUTES

14 How did you do? A seconds to milliseconds  360 s x 1000 ms = 360,000 ms 1 s

15 Examples: Convert the following: show all of your work!!!!
Appt B: feet to centimeters (note: 1 ft = 12 in and 2.54 cm = 1in) 4 MINUTES

16 How did you do? B feet to cm 4.98 ft x 12 in x cm = 152 cm 1 ft in

17 Examples: Convert the following: show all of your work!!!!
Appt C: seconds to hours (note: 60 sec = 1min and 60 min= 1 hr) 4 MINUTES

18 How did you do? C seconds to hours  1500s x 1 min x 1 hr = 1500hr = .42 hr 60 s min

19 Examples: Convert the following: show all of your work!!!!
Appt D: 75 m to km (note: 1000m = 1km) 4 MINUTES

20 How did you do? D. 75 m to km  75 m x km = km 1000m


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