Thursday, June 11, 2009

Math problems of the week: 4th grade Trailblazers vs. 1920's math

End-of-year word problems for 4th grade:

I. Hamilton's Essentials of Arithmetic Lower Grades (published in 1919), p. 200:

1. George bought a camera costing $6.12 and 6 rolls of films for $.24 each. How much change did he receive from a $10 bill?

2. Each picture was 2 inches by 3 1/4 inches. What was the number of square inches in its surface?

3. The pictures were mounted on cardboard, with a margin of 1/2 inch on each side. What was the length of the cardboard? the width? the number of square inches in the surface?

4. It cost $.18 to develop the roll of films. How much was this for each of the 6 exposures?

5. A roll of films having 6 exposures cost $.24, the developing for 6 exposures $.18, the printing of each picture $.03, and the mounting $.02. What was the total cost of each picture?

6. A picture 2 1/4 inches by 3 1/4 inches was mounted in the middle of a card 4 3/4 inches by 5 3/4 inches. What was the total cost of each picture?

7. How large a card would be needed to mount a picture 6 1/2 inches, leaving a margin of 3 1/2 inches on each side?

II. Math Trailblazers Discovery Assignment Book, p. 215:

Choose an appropriate method to solve each of the following problems. For some questions, you may need to find an exact answer, while for other questions, you may only need an estimate. For each question, you may choose to use paper and pencil, mental math, or a calculator [italics mine]. Be prepared to tell the class how you solved each problem.

1. Nila has $585 in her savings account. On her birthday, she deposits $75 she got for birthday gifts. How much money is in her savings account after her birthday?

2. Jackie and her family are taking a 23-mile ferry ride to an island in Lake Michigan. A round-trip ferry ride ticket costs $29 per adults and $15 per child. If 4 adults and 3 children purchase tickets, how much will the ferry ride cost the entire family?

3. John's older brother is in college. His brother and his three roommates want to buy a new stereo that costs $764. If they split the cost of the stereo evenly, how much should each student pitch in?

4. Ming built a house of cards. Before the house came tumbling down, he used 2 full decks of cards. The house also contained all but 15 cards from a third deck. About how many cards were in Ming's house of cards. (A deck of cards has 52 cards).

5. On vacation, Shannon's family took 3 rolls of 24 pictures and 2 rolls of 36 pictures. How many pictures did the family take in all?

6. Roberto is driving with his family to visit his grandmother. After driving 144 miles from Chicago, the family stops or lunch. They drive 89 more miles and stop for gas. Then, they stop for a sot drink after driving 123 more miles. Roberto's grandma lives 275 miles from Chicago. About how many more miles must they drive before they reach their grandmother's house?

7. If one year is 165 days, how many days old will you be when you are 16 years old?

3. Extra Credit

1. Estimate the ratio of words to numerical complexity in each problem set.

2. If Trailblazer's 4th graders were to time travel back to the 1920s, back before students had calculators, how well would they do in math compared with their 1920's classmates?

1 comment:

Tina said...

THanks for these great word problems - I'm trying to add this link to my online binder where I've been collecting word problems for my 3rd soon to be 4th grader. A little review for the summer.