__POTW #1: THE CHECKERBOARD PROBLEM__

DETERMINE HOW MANY SQUARES THERE ARE IN TOTAL ON A CHECKERBOARD.

__POTW #2: The Handshake Problem - How many handshakes are needed for 4 people, 5 people, 10 people, 25 people?__

**POTW #2:**

How many ways can you make 50 cents?

Create an organized list as there are several ways. Use pennies, nickels, dimes, quarters, and a fifty cent piece.

__POTW #3: PETERSON'S PIZZA PARLOUR PROBLEM__

Mr. Peterson needs your help! He has just opened a Pizza Parlour but he does not know how many combinations he can advertise that he makes. If he

decides to use 4 different toppings how many different pizza combinations could he offer? What if he had 5 different toppings?

__POTW #5: GET U2 TO THEIR CONCERT ON TIME!__

POTW

POTW

U2 says "It's a Beautiful

Day" for Math!!

"Beautiful

Day"

video

U2 has a concert that starts in 17 minutes and the band must all cross

a bridge to get there. All four band members begin on the same side of the

bridge. You must help them to cross to the other side.

It is

night. There is only one flashlight. A maximum of 2 people can cross

at any time. Any party who crosses, either 1 or 2 people must have the

flashlight with them. The flashlight must be walked back and forth.

It cannot be tossed, thrown, etc...

Each band member walks at a different

speed. A pair must walk together at the rate of the slower man's

pace:

Bono: 1 minute (to cross bridge)

Edge: 2 minutes

Adam: 5 minutes

Larry: 10 minutes

For example, if Larry and Bono walked

across first, 10 minutes would have elapsed when they got to the other

side. If Larry then returned with the flashlight, a total of 20 minutes

will have passed and you have failed the mission. There is no trick to

this: no swimming, carrying another, etc...

__Pr__

**oblem of the Week #6****Due Date: week of Nov.**

**22**

**"Divisibility Rules"**

**1) What is the smallest number that is divisible by all of the following: 1, 2, 3, 4, and 5?**

**2) What is the smallest number that is divisible by all of the numbers from 1 to 10?**

**Problem of the Week #7**

__POTW#1__

Do you want to earn $1 000 000 000 (one billion dollars)?

Do you want to earn $1 000 000 000 (one billion dollars)?

All you need to do is count it?

Do you still want the job?

How long will it take you if you work 8 hours per day, and you count one loonie every second?

**Be sure to show all of your work**

demonstrate as many strategies as possible for calculating

65% of $79.00

POTW #10,11, 12

POTW #9 Number Line Problem

POTW #8:

**Draw a rectangle that is divided into equal sized tiles so that 1/4 are**

red, 3/5 are blue, 1/10 are green, and 1 tile is black. Be sure to explain your work!!

**EXTRA CHALLENGE**

The four Jones children were given a gift of money from their grandmother. The

oldest child got 4/9 of the money. The second oldest got 1/3. The

third oldest got 1/6 of the money. The youngest got the rest which was $15.

a)How much money did grandmother Jones give to the children?

b) How much did each child receive?

red, 3/5 are blue, 1/10 are green, and 1 tile is black. Be sure to explain your work!!

**EXTRA CHALLENGE**

The four Jones children were given a gift of money from their grandmother. The

oldest child got 4/9 of the money. The second oldest got 1/3. The

third oldest got 1/6 of the money. The youngest got the rest which was $15.

a)How much money did grandmother Jones give to the children?

b) How much did each child receive?

****BE SURE TO SHOW AND EXPLAIN YOUR WORK!!!**

POTW #7: PUT THE FOLLOWING FRACTIONS IN ORDER FROM SMALLEST TO LARGEST ON A NUMBER LINE AND

**HOW YOU KNEW WHERE TO PLACE EACH ONE. ( 1/2, 1/8, 2/4, 1/6, 3/12, 2/5, 3/8, 0, 11/12, 3/4, 3/5, 1/3, 1/10, 4/5, 9/10, 1/4, 5/6, 1, 10/10 )**

__EXPLAIN____POTW #2: THE SPARE CHANGE PROBLEM__

Suppose you have a loonie, a quarter, a dime, a nickel, and a penny. How many different priced items could you buy using exact change? Remember that you only have one of each, and you do not have to use all of the coins. For example, you could buy an item for $0.11 by using a dime and a penny. You could buy an item for $1.30 by using a loonie, a quarter and a nickel.

__POTW #3: PETERSON'S PIZZA PARLOUR PROBLEM__

Mr. Peterson needs your help! He has just opened a Pizza Parlour but he does

not know how many combinations he can advertise that he makes. If he

decides to use 4 different toppings how many different pizza combinations could he offer? What if he had 5 different toppings?

__POTW #5: "DIVISIBILITY __*RULES!!*"

What is the smallest number that is divisible by:

1, 2, 3, 4, 5, 6, 7, 8, 9, and 10?

Please be sure to show all of your work and explain all of your thinking.

*RULES!!*"