Warm-Up Oct. 28

• If Mr. Parker has a resting heart beat of 75 bpm.

1. How many times would his heart beat in 20 years?

2. If his heart has beat 704,654 times how many days did it take for this to happen?

Practice Conversions

Number Sense and Ratios

Metric System Activity

• http://www.mathsisfun.com/measure/metric-speed.html

Km/h to m/s

1. If an express train runs at 120 km/h. How many m/s is it running?.

2. If an ant runs 7.62 cm in a second, how many km/h can he run?

3. If a crocodiles can swim as fast as 4.4704 m/s, how many km/h can he swim?

Task #3 Fuel for Thought

1. Which of the following would save more fuel?a) Replacing a compact car that gets 34 miles per

gallon (mpg) with a hybrid that gets 54 mpg.b) Replacing a sport utility vehicle (SUV) that gets

18 mpg with a sedan that gets 28 mpg.c) Both changes would save the same amount of

fuel.2. Explain your reasoning for your choice.

Warm-Up Oct. 29

1. 2.

3.

4.

How is the term “proportion” used differently in mathematics, architecture, and in art & nature?

• Have you ever heard of the golden ratio?

• What are some other examples of the golden ratio?

• What is the significance of the mathematics behind the golden ratio?

• (http://www.youtube.com/watch?v=oT_Bxgah9zc)

• http://cuip.uchicago.edu/~dlnarain/golden/activity8.htm

Parthenon

Nautilus Mona Lisa

Toyota Logo

• http://www.goldennumber.net/golden-ratio/

• http://www.goldennumber.net/architecture/

Maps

• How do you operate a map?

• What is important for you to read on a map?

• What is the scale of a map?

• What is the scales purpose?

Task #5

• You are planning a trip from Sacramento to San Diego on Highway .

• You want to determine the distance between these cities by using the map. On the map, locate the legend showing the scale of miles and answer the following questions.

1. How many miles are represented by 1 inch on the map? 2. How many inches represent 5 miles? How did you get

your answer? 3. How many inches are there between the two cities listed

above? 4. How many miles are there between these two cities?

• What mathematics are involved in enlarging something? Reducing something? (Proportions, similarity, scale factor.)

• What mathematics do you use to convert inches to miles (on the map) using the scale on the map? (Scale, conversion factor).

• What steps do you take to convert miles to feet? How about miles to yards? (To convert miles to feet, divide miles by 5,280. To convert miles to yards, divide miles by 1,760.)

Warm-Up Nov. 2

• Grab worksheet from the stool.

• Complete problems 1-2.

Task 6: Unit Conversion

• Medicine: A doctor orders 250 mg of Rocephin to be taken by a 19.8 lb infant every 8 hours. The medication label shows that 75-150 mg/kg per day is the appropriate dosage range. Is this doctor’s order within the desired range?

Task 6 Continued

Agriculture: You own an empty one acre lot. (640 acres = 1 mi2; 1 mi = 5,280 ft)

a) If 1 inch of rain fell over your one acre lot, how many cubic inches of water fell on your lot?

b) How many cubic feet of water fell on your lot?c) If I cubic foot of water weighs about 62 pounds, what

is the weight of the water that fell on your lot?d) If the weight of 1 gallon of water is approximately 8.3

pounds, how many gallons of water fell on your lot?

Astronomy:Light travels 186,282 miles per second.

a) How many miles will light travel in one year? (Use 365 days in a year) This unit of distance is called a light-year.

b) Capella is the 6th brightest star in the sky and is 41 light-years from earth. How many miles will light from Capella travel on its way to earth?

c) Neptune is 2,798,842,000 miles from the sun. How many hours does it take light to travel from the sun to Neptune?

Unit Conversion Practice