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.
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
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
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.
• 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
– 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
– #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)
• Does anyone know what a ratio is?
• Ratios are the compression of two things. Ratios
can be written in three ways.
• What is the ratio of boys to girls in the
• Number of students to desks?
• Number of blue shirts to white shirts in the
• A rate is a special ratio.
• It involves quantities that are not
measured the same way like miles and
• In a unit rate the denominator is always
1.( examples: 16 miles per hour = 1 )
• How fast does
travel on his bike?
• This clip demonstrates
how to calculate rates.
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.
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
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
3. Explain who had the best cell phone plan.
Racing Across the country
Decide where you
will be going in
Use Mapques to
and mileage to
Using the Thinking
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
• How many times will you have to stop for
• Which cities will you plan your stops along
• 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