1 Rope Length

You have 75 feet of string.

  • How many meters of string do you have?
  • What conversion factors did you look up?

Please show your work so I can see your thought process.

2 Car Speed

A car is traveling at 30 meters per second.

  • What is the speed in miles per hour?
  • What conversion factors did you look up?

Please show your work so I can see your thought process.

3 Tuition

Tuition is $3638 per semester. Show the unit conversions and convert this to cost per unit taken.

Please show your work using a factor-label method for full credit. (The factor-label method is a formal name for writing the units and cancelling them.)

4 Marathons

About how many marathons would it take to run around the equator?

5 Acceleration

We haven’t memorized our physics formulas but we know that the formula for the distance d an object has fallen depends on the acceleration and the time. Since acceleration has dimensions of length/time^2 what must the acceleration formula be?

  1. d \propto gt
  2. d \propto gt^2
  3. d \propto g/t
  4. d \propto t/g

6 Billion Seconds

Which of these is closest to the number of years equivalent to 1 billion seconds?

  1. 1 year
  2. 100 years
  3. 30 years
  4. 50 years

7 Highway Speed

Which is closest to the velocity in meters per second that the cars on 101 are traveling?

  1. 3000 meters/sec
  2. 300 meters/sec
  3. 30 meters/sec
  4. 3 meters/sec

8 Paper Measurement

Measure a piece of notebook paper using a measurement from your hand.

  • Measure your hand or finger and create a unit based on it
  • Report the length and width of the paper in your hand/finger unit.
  • Convert from your hand unit to centimeters
  • Convert from centimeters to inches
  • Please include a simple diagram with the dimensions.
  • Clearly show the conversion you are using.

9 Room Measurement Multiple Units

Measure the dimensions of your classroom floor using two methods

  • Measure using body strides or wingspans
  • Measure using a ruler or meter stick
  • Create a drawing in your course notes from today that include your measurements of the room.

10 Room Measurement With Conversions

Measure a room in units of strides or wingspans. Use whichever is more convenient.

  • Document your stride or wingspan in meters
  • Report the length and width of the room in your body unit.
  • Convert the dimensions of the room from your body unit to meters
  • Report the length and width of the room in meters.
  • Please include a simple diagram with the dimensions.
  • Clearly show your work and how the units are cancelling out.

11 Quantities in the News

Find an article about a topic of importance or interest that refers to a quantity. In a short essay of 4-8 complete sentences answer the following questions.

  • Why is the quantity important?
  • What are the dimensions and units of the quantity?
  • How is the quantity estimated or measured?
  • Please include a link to the article

12 Quantities Class Notes Reading

Read the class notes on quantities and answer the following questions.

  • What is the difference between a dimension and a unit?
  • Why can quantities have different numbers describing the quantity even though the represent the same physical object or property?
  • Why are excess significant figures unnecessary?

13 Quantity Estimation

Describe a quantity you think is important for us to measure. In a short essay of 2-4 complete sentences, answer the following questions.

  • Why do you think a measurement or estimation is important?
  • How do you propose measuring or estimating?

14 A Mind For Numbers Chapter 1 Reading (Open the Door)

Please answer the following questions about A Mind For Numbers Chapter 1. Here is a link to the reading.

  • Did you find any parts of this reading particularly relevant or interesting? Which ones?
  • Do you see yourself as being able to become proficient at using mathematics?

15 Hours Per Day Studying

The Student Credit Unit (SCU) is defined as 2 hours of outside class work per week per unit.

If you are taking a 4-unit class, how many minutes per day should you be spending on class work?

Show your dimensions and units clearly.

16 Computations

  • If you have traveled 100 miles in 2 hours, how fast are you going in miles per hour?
  • If you record X births in a six month period with a population of 1 million, what is the birth rate in units of births per person per year?
  • If you observe a 10 Celsius temperature rise when 10,000 joules are added to 238 grams of water, what is the specific heat capacity in joules per gram per kelvin?

17 Unit Equation Check

Which of these are correct equalities?

    1. $ 1 = 3.28 ft $
    1. $ 1 = 0.305 m $

18 Chicken and Egg Problem

You have a flock of 50 hens that produce 1 egg per chicken per day. Convert this to cartons (1 dozen) per flock per week.