Dimensional analysis

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

5 MIN STARTER ACTIVITY 5 MINUTES

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

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?"

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

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)?

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?

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

Ex.B. A new baby weighs 7.8 lb, What is it’s mass in kilograms? equivalence statement  1kg = 2.205 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

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)? =172800 s

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!

Examples: Convert the following: show all of your work!!!! Appt A: 360 seconds to milliseconds (note: 1000 milliseconds = 1 second) 4 MINUTES

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

Examples: Convert the following: show all of your work!!!! Appt B: 4.98 feet to centimeters (note: 1 ft = 12 in and 2.54 cm = 1in) 4 MINUTES

How did you do? B. 4.98 feet to cm 4.98 ft x 12 in x 2.54 cm = 152 cm 1 ft 1 in

Examples: Convert the following: show all of your work!!!! Appt C: 1500 seconds to hours (note: 60 sec = 1min and 60 min= 1 hr) 4 MINUTES

How did you do? C. 15000 seconds to hours  1500s x 1 min x 1 hr = 1500hr = .42 hr 60 s 60 min 3600

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

How did you do? D. 75 m to km  75 m x 1 km = 0.075 km 1000m