Sequences
Bases
Word Problems
Divisibility
100
What is the generic formula for a geometric sequence?
100
Draw base blocks to show how you would model 423five - 234five
134five
100
Identify the problem type and unknown:
Charlie has 2 tickets for the zoo. His sister Renee cannot go and gives him 4 more tickets. How many tickets does Charlie have now?
Join: Result Unknown
100
What digits can you put in the blank so the number is divisible by 4?
2361_
2, 6
200
Find the next three terms in the sequence: 3,6,18,72,_,_,_...
360, 2160, 15120
200
Solve the problem 252six + 312six using base blocks.
1004six
200
Identify the problem type and unknown:
Rose has painted 5 pictures. Jasper has painted 4 more than Rose. How many pictures has Jasper painted?
Compare: Larger amount unknown
200
What digits could you put in the blank to get a number divisible by 3?
246_2
1, 4, 7
300
Identify the type of sequence and create the formula you would use to find the nth term: 2,5,8,11...
Arithmetic: An=2+3(n-1)
300
Explain, in words, how you solve the problem 232four + 123four with base blocks.
I start by drawing 2 flats 3 longs and 2 units to represent 232four then I draw 1 flat 2 longs and 3 units to represent 123four. In base 4 we make a trade when we have 4 of the same block. I take 4 units and make a long and I am left with 1 unit. I then take 4 longs and change them to a flat and have 2 longs left. I then take 4 flats and change them into a cube. I then count up what I have left: 1 cube, 0 flats, 2 longs and 1 unit. This is 1021four.
300
Identify the word problem type and the unknown:
Jacob is placing pictures in a scrapbook. He puts 5 pictures on each page. How many pages would he have if he had 60 pictures total?
Equal groups: number of groups unknown
300
Is 5364 divisible by both 3 and 9?
Yes
400
Emmett runs 2.5 miles on the track everyday. Everyday he runs, he wants to run 5 minutes faster than the day before. Today he ran the 2.5 miles in 125 minutes. If he sticks to his goal of running 5 minutes faster everyday, how fast will he run the 2.5 miles in 12 days?
Note: Today's times is not part of those 12 days
An=125-5(n-1)
An=125-5(13-1)
An=65 min
400
Convert the base ten number 384 into a base five number.
3014FIVE
400
Identify as either partitive or measurement:
There are 60 students going on the class field trip to the zoo. If each bus can fit 30 students, how many buses will be needed to transport the students to the zoo?
Measurement
400
Is 5382 divisible by 13?
Yes
500
Bella is trying to save money by putting money into a savings account. Each week, she puts in double the amount that she put in the previous week. How much money would she put into her saving account on the 9th week if she puts $3 in the first week?
$768
500
The number 423five is what base ten number?
113TEN
500
Create a separate change unknown story problem.
Answers vary. Ex) Alice goes to the fair. At the beginning she has 24 tickets. She spends some of these tickets by going on different rides. Now she has 8 tickets left. How many tickets did she spend at the fair?
500
If given the number 1620, what numbers (2-13) is the number divisible by?
2, 3, 4, 5, 6, 9, 10, 12