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Presentation transcript:

Add a word problem example to the powerpoint, finish notes handout for students. Fix powerpoint, add answers to the problem on factor label worksheet 1 that come up automatically step by step in powerpoint. Would be useful in quickly reviewing worksheet. Add arrows to teaching kids how to do this!

Team Conversions You walk 350 yards to class. How many inches is this? You wait 3 weeks for the new Glamour magazine to come in the mail. How many hours is this? You wait 42 minutes for class to end. How many years is this? You’re on a plane traveling at 450 mph. How many feet per second are you traveling? Try number 1 on page 4 of your packet.

Today you are going to… turn in s So you can… better You’ll know you’ve got it when you can answer the

Pass in labs!

Density Quiz Review!!!

Density Quiz Review!!!

Bell Work 10/6/14 – 4 minutes Take out your conversion sheet. (kevin hates dating) You’re paying for gas. What does $3.50/gal mean? Does it change depending on how much gas you buy? W3SAYWoS

Schedule Monday Tuesday Wednesday Thursday Friday Turn in Density Lab! Factor Label Method HW: Factor Label Problems Tuesday Wednesday Review Factor Label Method Thursday Review for test Friday Test on Metrics, Measurement, Sig Figs, and Density

Objectives! Learn the factor label method! Why does it work (2 reasons).* Be able to use it to convert units on top. Be able to use it to convert units on bottom. Be able to use it to convert units on top and bottom.

Factor Label Method What is it? It’s a very useful method of solving problems and converting units. Units are extremely important in this method.

Why does the Factor Label Method work? 2 principals Anything divided by itself is 1 Anything multiplied by one is the same value

1. Anything divided by itself is 1 In the situation below, x = 5 and y = 5 x = Why? y Can we then say that x = y because they’re the same thing? (5) 1 foot 12 inches 1 foot = 12 inches because they’re the same thing! It’s just a different way of saying the exact same length.

1. Anything divided by itself is 1 So, if 1 foot = 12 inches and anything divided by itself is 1, than 1 foot = 12 inches

2. If you multiply something by 1, the answer is the same (8) (1) = 10 (8/8) = X (5/5) = 10 (x/x) =

We’ve also established that 1 foot = 12 inches. Therefore… In the situation below, x = 5 and y = 5. We therefore said: x = 8 y We’ve also established that 1 foot = 12 inches. Therefore…

2. If you multiply something by 1, the answer is the same In the situation below, 1 foot = 12 inches. We therefore said: 1 foot = 12 inches Therefore

The key here is UNITS! Let’s try this with 2 ft. (next slide)

2.00 ft = ? in 2.00 ft 1 12 in 1 ft 24.0 in X = 24.0 in 12 in is EXACTLY 1 foot, so infinite number of sig figs on those 2 numbers

Tips for Basic Factor Label Write the given over 1. Write “x -----------” Write the old units on the opposite side (top or bottom) so they cancel. Write the new units on the other side. Cross out the old units. When you’ve reached the units you want, multiply the top, then divide the bottom.

1 ft = 12 in 1 yd = 3 ft 1 mi = 5,280 ft 3 ft = ? in 8 in = ? ft 5.5 yds = ? in 2 mi = ? ft 45,000 in/s = ? mi/s

Bell Work 10/7/14 – 5 minutes Take your hw out and place it upside-down on your desk. The moon is 250,000 miles away. How many feet is it from Earth? It takes 272,940 s for a manned mission to get to the moon. How many days did it take?? (figure out how many days, hours, and minutes if you can.)

Steps to Factor Label Method Word Problems Write given information AND what you’re looking for Look at/find conversion factors Make plan Setup problem, making sure to cross out units Solve problem (can multiply and divide in any order) Round your answer Double check your answer and setup

Tips for Word Problems 18 mph $20 per student

A car consumes 25. 00 gallons of fuel when driving a distance of 4 A car consumes 25.00 gallons of fuel when driving a distance of 4.00 km. How many gallons will it consume when driving 250.0 miles? 25.00 gal = 400.0 km 250.0 mi = ? gal 250.0 mi 1 0.6214 mi 1 km 25.00 gal 400.0 km 9.6875 X X = 9.688 gallons

Bell Work 10/10/13 – 5 minutes Take your hw out and place it upside-down on your desk. The moon is 250,000 miles away. How many feet is it from Earth? It takes 4,549 minutes for a manned mission to get to the moon. How many days did it take?? (figure out how many days, hours, and minutes if you can.)

Bell Work 10/11/13 – 5 min Take your hw out and place it upside-down on your desk. 3.0 yd/hr = ? in/hr 60.0 ft/s = ? ft/hr According to recent accurate measurements, the top speed of a Cheetah running in grass is 59 mi/hr. How many feet per second is this?

Bell Work 10/11/13 – 5 min Take your hw out and place it upside-down on your desk. 55.0 m/s = ? km/hr According to recent accurate measurements, the top speed of a Cheetah running in grass is 26.4 m/s. How many miles per hour is this?

Today you are going to… review hw take notes on bottom & both factor label make a conversion! work on some problems So you can… convert units and do stoichiometry in chem class You’ll know you’ve got it when you can answer the questions on the homework

Today you are going to… take the quiz make a couple conversions (use arrow method) do practice story problems see a cool fruit video? whacky Wednesday video? So you can… convert units and do stoichiometry in chem class You’ll know you’ve got it when you can answer the questions on the homework

Conversions! _____ yd = 1 m (0.9144 = 1 yd) Look at your conversion sheet. _____ yd = 1 m (0.9144 = 1 yd) 1 mi = _____ km (1 km = 0.6214 mi) 1 gallon = _____ mL

Bell Work 10/18/13 Put your homework upside-down on the top of your desk. According to recent accurate measurements, the top speed of a Cheetah running in grass is 26.4 m/s. How many miles per hour is this? Still owe me labs! Progress reports!

Bell Work 10/21/13 Put your homework upside-down on the top of your desk. The average American drives 36 miles each day. At that rate, how far would someone drive in 55 years? Still owe me labs! Progress reports!

Friday Check & review study guide Monday Review Tuesday Test Wednesday Kinetic Theory of Matter!

Bell Work 10/21/13 – 4 minutes Elizabeth’s hair grows at rate of 0.5 inches per month. If she shaved her head, then went 77 years without cutting her hair, how many feet long would it be? *Hint: Start with 77 years!

Review Test Questions! Define & give SI unit for mass. Define & give SI unit for volume. Define & give SI unit for density. Aluminum has a density of about 2.7 g/cm3. Explain what that means.

As of 2013, gold costs about 1,319 dollars per ounce As of 2013, gold costs about 1,319 dollars per ounce. A gold bar has a mass of 11,340 g. How much is a gold bar worth?

Fruit video Someone took 1 picture every 40 minutes. (a) If they did this for 74 days, how many pictures would they take? (b) If they then showed the pictures at 30 pictures per second, how many minutes long would the video be?

Today you are going to… review hw take notes on bottom & both factor label make a conversion! work on some problems So you can… convert units and do stoichiometry in chem class You’ll know you’ve got it when you can answer the questions on the homework

Factor Label with units on bottom. Conversion Factors: 6.0 ft/min = ? ft/hr 65.0 mi/hr = ? mi/s 1.0 m/s = ? km/hr

1 ft = 12 in 1 yd = 3 ft 1 mi = 5,280 ft 365 days = 1 year 86 mi/s = ? mi/min 17 yd/s = ? yd/hr 1.5 mi/day = ? in/hr

1 ft = 12 in 1 yd = 3 ft 1 mi = 5,280 ft 365 days = 1 year 12 years = ? hrs 86.0 m/s = ? m/min 17 ft/s = ? yd/min 1.500 mi/hr = ? in/s

64 ft = ? In 2. 7.50 mi/hr = ? mi/min 46.00 m/s = ? km/hr 1 ft = 12 in 1 yd = 3 ft 1 mi = 5,280 ft 365 days = 1 year 1 km = 1000 m 64 ft = ? In 2. 7.50 mi/hr = ? mi/min 46.00 m/s = ? km/hr

34 ft/s = ? yd/min 34 ft 1 s 1 yd 3 ft 60 s 1 min X X 340 = 680 yd/min

25 ft = ? in 25 ft 1 12 in 1 ft 300 in X = 300

2. 12 years = ? hrs 12 yrs 1 365 days 1 yr 24 hrs 1 day 105,120 X X = 105, 120 hrs

3. 86 m/s = ? m/min 86 m 1 s 60 s 1 min 5,160 X = 5,160 years

4. 17 ft/s = ? yd/min 17 ft 1 s 1 yd 3 ft 60 s 1 min 340 340 yd/min X

5. 1.5 mi/hr = ? in/sec 1.5 mi 1 hr 12 in 1 ft 1 hr 60 min 1 min 60 s X X X X 26.4 = 26.4 in/s

3 ft/s = ft/min 5.0 ft/min = ? ft/s 32 ft/s = ? ft/hr 45 in/min = ? in/day 7.0 ft/s = ? in/min

Bell Work 10/5 Sam measures the mass of a metal ball on a balance and it reads 50.56 g. She drops the metal ball into a graduated cylinder and the water level goes from 25.5 mL to 28.8 mL. What would the volume of a of 5.5 kg ball of the same metal be? Convert 1.20 tons to kilograms using the factor label method. Show all of your work, and state your answer with the correct number of significant digits. What is a difference between the measurements “pounds” and “kilograms” that people often forget about? Light speed is 300,000,000 m/s. What is this in mi/hr? Jared’s pencil has a density of 0.75 g/cm3 and a mass of 5.5 g. What is it’s volume? 450,000,000 s = ? years 550 mi/hr = ? ft/s The moon is 250,000 miles away. How many feet is it from Earth? It takes 4,549 minutes for a manned mission to get to the moon (which is 250,000 miles away). How many days was this? It takes 272,940 seconds for a manned mission to get to the moon (which is 250,000 miles away). How many days was this? A car consumes 25.00 gallons of fuel when driving a distance of 4.00 km. How many gallons will it consume when driving 250.0 miles? Convert this to days, hours, minutes! 3 days, 3 hours, 49 minutes

You want to make 300. mL of 3 molar NaOH solution You want to make 300. mL of 3 molar NaOH solution. (Three molar means there are 3 moles of solute in 1 liter.) If there are 39.94 g of NaOH in one mole, how many grams of NaOH do you need?

Proof of the Factor Label Method’s Flexibility Lead has a density of 11.34 g/ cm3. What would the volume of 4.0 grams of lead be? Gold has a density of 19.32 g/ cm3. How much mass would 8.50 cm3 of lead have? A car is driving at 45.0 mi/hr. How many hours will it take to drive 105 mi?

7. Determine the number of years in 8.35 x 106 minutes. 60 min = 1 hour 1 day = 24 hours 1 year = 365 days OR 1 year = 525,600 minutes 8.35 x 106 min 1 1 hr 60 min 1 day 24 hour 1 year 365 days X X X 15.8 = 15.8 years

STOP

7. Saffron costs 368. 00 dollars per ounce 7. Saffron costs 368.00 dollars per ounce. Determine how many grams you can purchase for 15.00 dollars. $368 = 1 oz 1 oz = 28.35 g 250.0 mi 1 0.6214 mi 1 km 25.00 gal 400.0 km 9.6875 X X = 9.688 gallons

A car consumes 25. 00 gallons of fuel when driving a distance of 4 A car consumes 25.00 gallons of fuel when driving a distance of 4.00 km. How many gallons will it consume when driving 250.0 miles? 25.00 gal = 400.0 km 250.0 mi = ? gal 250.0 mi 1 0.6214 mi 1 km 25.00 gal 400.0 km 9.6875 X X = 9.688 gallons