Name:______Period:______

6th Grade Math Project – Investigating Unit Rates

You will complete 5 sections on this project, which all incorporate the use of rates and unit rates. It is due DECEMBER 2ND. If late, you will receive 10 points taken off your grade for every day that it is not turned in. THIS IS THE ONE AND ONLY COPY YOU WILL RECEIVE. If you need another copy, you must download it from Mrs. Robinson’ s webpage.

GRADING RUBRIC:

PART I / 20 points: All work is shown, all calculations are correct, questions answered in complete sentences. / 15 points: Most work is shown, most calculations correct, questions answered in complete sentences. / 10 points: Some work is shown, most calculations are correct, most questions answered in complete sentences. / 5 points: No work is shown, some calculations are correct, questions not answered in complete sentences / 0 points: No work is shown, no calculations are correct, questions not answered in complete sentences.
PART II / 20 points: All work is shown, all calculations are correct, questions answered in complete sentences. / 15 points: Most work is shown, most calculations correct, questions answered in complete sentences. / 10 points: Some work is shown, most calculations are correct, most questions answered in complete sentences. / 5 points: No work is shown, some calculations are correct, questions not answered in complete sentences / 0 points: No work is shown, no calculations are correct, questions not answered in complete sentences.
PART III / 20 points: All work is shown, all calculations are correct, questions answered in complete sentences. / 15 points: Most work is shown, most calculations correct, questions answered in complete sentences. / 10 points: Some work is shown, most calculations are correct, most questions answered in complete sentences. / 5 points: No work is shown, some calculations are correct, questions not answered in complete sentences / 0 points: No work is shown, no calculations are correct, questions not answered in complete sentences.
PART IV / 20 points: All work is shown, all calculations are correct. / 15 points: Most work is shown, most calculations correct. / 10 points: Some work is shown, most calculations are correct. / No work is shown, some calculations are correct. / 0 points: No work is shown, no calculations are correct.
PART V / 20 points: All work is shown, all calculations are correct. / 15 points: Most work is shown, most calculations correct, / 10 points: Some work is shown, most calculations are correct. / No work is shown, some calculations are correct. / 0 points: No work is shown, no calculations are correct.

PART I and II: Choose the Product:

Choose five products that have two different sizes. Record the size, price, and unit rate of each size. Compare the unit rate for each product then tell which is the better buy. Recalculate the new price and unit rate applying the coupon amount given and then answer the questions on the side.

Item Name / Size #1 / Size #2 / Which is the better buy? By how much? Which is the better buy with the coupon and by how much?
1. / Size:
Price:
Unit Rate: / Size:
Price:
Unit Rate:
Suppose you had $1 off coupon that you could use on each of these items. / Price – coupon:
New Unit Rate: / Price – coupon:
New Unit Rate:
2. / Size:
Price:
Unit Rate: / Size:
Price:
Unit Rate:
Suppose you had $0.50 off coupon that you could use on each of these items / Price – coupon:
New Unit Rate: / Price – coupon:
New Unit Rate:
3. / Size:
Price:
Unit Rate: / Size:
Price:
Unit Rate:
Suppose you had $0.75 off coupon that you could use only on the smaller sized item. / Price – coupon:
New Unit Rate: / Price – coupon:
New Unit Rate:
4. / Size:
Price:
Unit Rate: / Size:
Price:
Unit Rate:
Suppose you had $1 off coupon that you could use only on the larger sized item. / Price – coupon:
New Unit Rate: / Price – coupon:
New Unit Rate:
5. / Size:
Price:
Unit Rate: / Size:
Price:
Unit Rate:
Suppose you had $1 off coupon that you could use on the larger sized item and a $0.75 off coupon that you could use on the smaller sized item. / Price – coupon:
New Unit Rate: / Price – coupon:
New Unit Rate:

1.  Why did you choose these items?

2.  Did the coupon change which size was the better buy? If not did the coupon make the unit prices closer?

3.  What did you find most surprising about the comparisons?

Part III Find the Product

Using these specified products, locate the price and calculate the unit rate per one piece, instead of per one ounce/lb. as given to you on the price tag.

ITEM / Rate/Unit Rate
Bunny Bread / Price:
Price per slice:
Chips Ahoy Cookies / Price:
Price per cookie:
Crayola Markers / Price:
Price per marker:
A dozen eggs / Price:
Price per eggs:
Ziploc Sandwich Bags / Price:
Price per bag:

What are some other items that would allow you to calculate the price per item, like the examples above?

How would using a coupon change the unit rate/price per item?

Part IV: Which one is better?

Jeanie sells M&Ms out of her giant bag at 4 for 5 cents. The machine at the store sells you 9 for 25 cents. Which is the better deal for you? Show your work.
Tom sells baseball cards at 10 for 35 cents. Is that a better deal than 12 for 40 cents? Prove your thinking.
The hardware store sells sparklers for the 4th of July. They charge 19 cents a piece. The fireworks stand charges 85 cents for four. Which is the better deal? How can you tell?
Frosted Flakes has 11 grams of sugar in each 1-ounce serving. Raisin Bran has 13 grams of sugar in each 1.4-ounce serving. Which one has less sugar per ounce of cereal? How can you tell? Prove your answer.


Part V – Ratios and Unit Rates

Change the ratios below to unit rates. An example is given. SHOW YOUR WORK BY PROBLEM NUMBER ON ATTACHED SCRAP PAPER!

Ratio / Rate (Ratio as a fraction) / Unit Rate
1) 228 miles in 6 hours / 228 miles
6 hours / 38 mph or 38 miles
1 hour
2) 372 students for 12 teachers
3) $47.95 for 7 hours work
4) $5.40 for 1 dozen bagels
5) 57 sit-ups in 3 minutes
6) 500 words read in 8 minutes