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Problem of the Week - Quarter 3

Problem of the Week (POW)

Every Monday, students will be given a POW to complete, which will be due the following Monday. Students are encouraged to talk to peers, parents, and teachers and to use any tools necessary to help them understand the problem/work out a solution strategy. Although they can seek assistance, the solution needs to be their own. In scoring these, the explanation of student thinking is worth the most points. I want students to become confident in their thinking and problem solving abilities. Each week's POW will be listed here, on our class website.

Copy of paragraph sheet/scoring guide

Quarter 3

Week of 1/9 (Due 1/17): Read My Mind

Need to know:

Factors: The numbers multiplies together to get an answer in multiplication

Product: The answer to a multiplication problem

Multiples: Skip counting - 3, 6, 9, 12, etc...

15² = 15 x 15 = 225

Stuck?

Try:

Start a list of all the numbers between 225 and 999 that are odd and multiples of three. See which ones have a product of digits equal to 24. Look for a pattern in the numbers you find which might help you find the others without finishing the entire list.

Or try:

Make a list of the factors of 24. Eliminate the two-digit factors. choose sets of these which multiply to 24 and arrange them in all possible ways to mike three-digit numbers. Check to see which of these are odd and multiples of three.

Week of 1/17 (Due 1/23): Basketball Scores

Stuck?

Try:

Make a chart with three columns, one for each boy. Guess how many points Harold might have made. Determine how many points Isaac and Jacob would have made to make the totals work. Check your guess by using the last clue. If this does not work, adjust your guess and try again.

Or try:

start by listing all the combinations that sum (add up to( 14. This gives all the possible ways Isaac and Jacob might have scored points. For each combination in this list, see what score Harold might have gotten by subtracting Isaac;s score from 19. If Harold's and Jacob's points add up to Isaac's score, this is the solution. If not, try the next pair with a sum of 14.

Week of 1/23 (Due 2/6) - Stocking the School Store

Stuck?

Try:

Make a guess for the number of hats the store might havbe had. The number of T-shirts should be four times the number you guessed for hats. See whether the difference between these two numbers is 54. If note, make a new adjusted guess based on the results from the first guess.

Or try:

Make a chart that includes columns for hats, T-shirts, and T-shirts divided by hats. Start with 1 hat and 55 T-shirts, since there are 54 more T-shirts than hats. Divide the number of T-shirts by the number of hats to see whether you have four times as many T-shirts as you do hars. Now try 2 hats and 56 T-shirts and so on until you find a combination in which the number of T-shirts is four times the number of hats.

Or try:

Use letter to stand for hars and T-shirts (H=hat, T = T-shirt.) Illustrate the condition of the problem that says there are four times as many T-shirts as hats by drawing rows like this:

HTTTT

Continue until there are 54 more Ts than Hs.

Week of 2/6 (Due 2/20) Test Score Trouble

Stuck?

Try:

There are four scores you can deetermine directly from the clues. Record these scores in a list and leave the fifth one blank. Guess what the last test score might have been. Compute the mean using this score. If the mean comes out too high or too low, adjust your guess and compute the mean again. --> Show alll your work - show all guesses....

Week of 2/20 (Due 3/5)