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					      Daily Warm-Up
   Three brave, but not very bright
pirates discovered a box of priceless
   gold coins. It was late and they
   decided to sleep and divide the
        treasure the next day.
          Daily Warm-up
One of the pirates decided that the other pirates did not know
math very well, so during the night, he took 1/3 of the coins and
fled.

Later that night, the second pirate awoke and discovered some
of the coins were missing so he took 1/3 of the coins left and
fled.

The third pirate slept all night. When he awoke, he saw the
at the other two pirates had gone with some of the coins and
figured that they had left him his fair share. He took those
coins left and walked away happily.

Which of the pirates ended up with the greatest share of the
coins? Explain using a picture.
        Daily Warm-up
• Since the 1st pirate took 1/3, 2nd pirate
  took 1/3 of what was left, the treasure was
  actually divided into 9th s. Pirate 1 had
  3/9, pirate 2 had 2/9 and pirate 3 had 4/9
Racing with Rates
               Lesson Overview
Objectives:
–   The learner will calculate, interpret and compare rates.
–   The learner will use models and pictures to explain concepts or solve
    problems involving ratio, proportion, and percent with whole numbers


GLEs:
–   #13 Use models and pictures to explain concepts or solve problems
    involving ratio, proportion, and percent with whole numbers (N-8-M)

–   #20 Calculate, interpret, and compare rates such as $/lb., mpg, and
    mph (M-1-M) (A-5-N)
                      Ratio
•   Does anyone know what a ratio is?
•   Ratios are the compression of two things. Ratios
    can be written in three ways.
                   Ratios
• What is the ratio of boys to girls in the
  class today?

• Number of students to desks?

• Number of blue shirts to white shirts in the
  class?
                    Rates
•   A rate is a special ratio.

•   It involves quantities that are not
    measured the same way like miles and
    hours.

•   In a unit rate the denominator is always
                                        16
    1.( examples: 16 miles per hour = 1 )
            Discovering math:
              measurement
• How fast does
  Lance Armstrong
  travel on his bike?

• This clip demonstrates
  how to calculate rates.
             Sandbag simulation
 We will simulate a sandbag brigade to get a discussion of rates

1.   Hand an object representing a sandbag from one
     end of the line of the line to the other.

2.   Record how far the object is passed and how long it takes.


     QUESTION
     Suppose the class sandbag brigade is 100 feet long.
     About how long will it take to pass a sandbag from one end
     to the other?
 Student Activity 8.1

Kagen Strategy: All Write-Round Table
Student Activity 8.2
 Independent Work
           Constructed Response:
              Cell Phone Plans

1. SONDRA PAID $6.00 FOR A 10- MINUTE CALL.

2. DAVID PAID $2.80 FOR A 20- MINUTE CALL.

3. JILL SPENT 30 MINUTES TALKING, WHICH COST
   $5.40.

3. Explain who had the best cell phone plan.
  Racing Across the country
Decide where you
 will be going in
     the U.S.

                    Use Mapques to
                     find directions
                    and mileage to
                     your location.


                                       Using the Thinking
                                       Map software,
                                       create a flow map
                                       to outline your trip.
  When will you stop for Gas?
• Your car can travel 192 miles using 12
  gallons of gas.

• How many miles per gallon does your car
  use?
             Pitt Stop
• How many times will you have to stop for
  gas?

• Which cities will you plan your stops along
  the way?
              Closure
• Jenny wants to buy cereal that comes in
  large and small boxes. The 32-ounce box
  costs $4.16, and the small box costs
  $2.38. Which box is less expensive per
  ounce? Explain.

				
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