Each journal must be completed on a separate and labeled page. The extra credits can also be completed in your journal, labeled on separate pages as well.
Journal #6: The School Dance
At the school dance, there are 4 boys for every 3 girls. If 133 students attended the dance, how many were girls? How many boys were there? Explain your reasoning.
Journal #5: Odd Man Out
One of the following fractions does not fit the pattern. Which is the odd one out and what should the correct fraction be? Explain how you figured it out.
1/2, 1/3, 1/4, 1/6, 1/9, 1/9, 1/36
Journal #4: Got Gas
A mother fills up her gas tank and realizes she had used only 5/7 of the gas before she pulled into the service station. She remarked to her daughter that they had traveled 360 miles on 5/7 of a tank - and then said, "I wonder how far we could drive at the same rate we're driving now with a full tank of gas?" Her daughter took about 10 seconds to get the correct answer. Explain one way to determine the correct answer.
Journal #3: The Mango Problem
One night the King couldn't sleep, so he went down into the Royal kitchen, where he found a bowl full of mangoes.
Being hungry, he took 1/6 of the mangoes. Later that same night, the Queen was hungry and couldn't sleep. She, too,
found the mangoes and took 1/5 of what the King had left. Still later, the first Prince awoke, went to the kitchen, and
ate 1/4 of the remaining mangoes. Even later, his brother, the second Prince, ate 1/3 of what was then left. Finally, the
third Prince ate 1/2 of what was left, leaving only three mangoes for the servants.
How many mangoes were originally in the bowl? Explain you work.
Journal #2: Ordering Fractions
Part 1: Draw a number line to plot 1/5, 1/2, 1/4, 1/10
Expalin what happens when the denominator increases.
Part 2: Order these fractions from smallest to largest. You can draw a number line or use any other method.
2/8, 1/3, 1/2, 2/2, 3/4, 0/5
Explain how you determined the position of each fraction. How do you decide if a fraction is greater than another one?
Journal #1: Property Codes
3) If 5 cats can catch 5 mice in 5 days, how many days does it take 3 cats to catch 3 mice?
2) If two typists can type two pages in 4 minutes, how many typists will it take to type 10 pages in 20 minutes? Explain how you determined the answer. Can you solve in more than one way?
1) Three sailors were marooned on a deserted island that was also inhabited by a band of monkeys. The sailors worked all day to collect coconuts but were too tired that night to count them, They agreed to divide them equally the next morning.
During the night, one sailor woke up and decided to take his share. He found that he could make three equal piles, with one coconut left over, which he threw to the monkeys. Then he put his own share in a pile down the beach, and left the remainder in a single pile near where they all slept.
Later that night, the second sailor awoke and, likewise, decided to take his share of coconuts. He also was able to make three equal piles, with one coconut left over, which he threw to the monkeys.
Somewhat later, the third sailor awoke and did exactly the same thing with the remaining coconuts.
In the morning, all three sailors noticed that the pile was considerably smaller, but each thought that he knew why and said nothing. When they then divided what was left of the original pile of coconuts equally, each sailor received seven and one was left over, which they threw to the monkeys.
How many coconuts were in the original pile?