6th Grade Math Textbook, Progress

(Marvins-Underground-K-12) #1
To find how many cards Tim gave to Walter, use the pattern
rule3. Make a table to list the cards given away and the daily
total. Multiply the number he gave away the day before by 3. To
find the total, add the amount given away to the total of the day
before. Look for a pattern.

Visualize yourself in the problem above as you
reread it. List the facts and the question.
Facts: first day–1 card
each day after–3 times the number
he gave the day before
after 4 days–all cards are given away

Question:How many cards did Tim give to Walter?

Tim gave all his baseball cards to Walter. On the first day,
he gave him 1 card. On each day after that, he gave him
3 times the number he had given him the day before.
At the end of 4 days, Tim had given away all the cards
he had. How many did he give to Walter in all?

Problem-Solving Strategy:


Find a Pattern


6-18


Day 1st 2nd 3rd 4th
Walter received 1 3  1  3 3  3  9 3  9  27
Tim’s daily total 1 1  3  4 4  9  13 13  27  40

Tim gave Walter 40 baseball cards.

Begin with 40 cards and subtract the number
Tim gave away each day.
Do you have 0 left on the 4th day? Yes.
40  1  3  9  27  0
39  3  9  27  0
36  9  27  0
27  27  0 The answer checks.

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