Algebra and Patterns

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THIS
IS 4th Math
With Your
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Mr. James described a number pattern as
“start with 2 and multiply each number by
3 to get the next number.” Which number
pattern is Mr. James is describing?
A. 2, 5, 8, 11
B. 2, 5, 15, 45
C. 2, 6, 12, 24
D. 2, 6, 18, 54
A 100
D. 2, 6, 18, 54
A 100
Rocco made this pattern.
53, 48, 43, 38
Which describes the rule for Rocco’s
pattern?
A.subtract 15
B. subtract 10
C. subtract 5
D. subtract 3
A 200
C. subtract 5
A 200
Courtney starts with 12 birdhouses. She
makes three new birdhouses each week.
Which pattern shows the number of
birdhouses Courtney has at the end of the
each week?
A.
B.
C.
D.
3, 6, 9, 12
3, 15, 27, 39
12, 15, 18, 21
12, 24, 36, 48
A 300
C. 12, 15, 18, 21
A 300
Jim’s and Sarah’s total savings
at the end of each week are
shown in the table.
QuickTime™ and a
TIFF (Uncompressed) decompressor
are needed to see this picture.
The pattern of savings continues.
Which statement about their savings is true?
A. Jim will have $1 less than Sarah at the end of week 4.
B. Sarah will have saved more money than Jim at the end
of week 4.
C. Jim will have saved more money than Sarah at the end
of week 4.
D. Sarah and Jim will have saved the same amount at the
end of week 4.
A 400
C. Jim will have saved more
money than Sarah at the end
of week 4.
A 400
Lyn and Kris were picking up
pine cones. Every 15
minutes they counted to
check the total number of
pine cones they had picked
up. The chart shows their
results. Which statement is
true according to the data in
the chart?
A. Kris always picked up 8 more pine cones than Lyn.
B. Kris and Lyn picked up the same number of pine cones
every 15 minutes.
C. Kris picked up fewer pine cones than Lyn.
D. Kris picked up twice as many pine cones as Lyn.
A 500
D. Kris picked up twice
as many pine cones as
Lyn.
A 500
Mai Lee is buying
notebooks. The
first notebook
costs $0.78 and
each additional
notebook costs
$0.22. Which
table shows the
cost of the
notebooks?
A
B
C
D
B 100
B.
B 100
Susan saved 50 bottle caps for her school. She
plans to save 2 more bottle caps each week. Which
expression tells the total number of bottle caps
Susan saves after w weeks?
A. 50 + 2w
B. 50 + 2 + w
C. 50w + 2
D. 50w + 2w
B 200
A. 50 + 2w
B 200
DAILY
Place A Wager
DOUBLE
C 400
Scott added seven to a number, and the
answer was less than 12. Which inequality
represents this situation?
A.
B.
C.
D.
B 300
D.
B 300
Alice has 12 markers. Ben has half as many
markers as Alice. M is the number of markers that
Ben has. Which equation can Ben use to find the
number of markers that he has?
A.
B.
C.
D.
12 ÷ 2 = M
12 + 2 = M
12 × 2 = M
12 – 2 = M
B 400
A. 12 ÷ 2 = M
B 400
Anthony’s family plants 15 trees each weekend.
Construct a table showing the total number of trees
Anthony’s family planted after 1, 2, 3, 4, and 5 weekends.
Describe the pattern that tells the number of trees that the
family has planted.
If t is the total number of trees planted and w is the number
of weeks, write an expression for the total number of trees,
t, that are planted after w weeks.
If the pattern continues, how many trees will have been
planted after 9 weeks? ________
Show or explain how you found your answer.
B 500
Students need to construct a table that shows weeks in one column
and the total number of trees planted in the other column. To find the
total number of trees that are planted each week, students can
multiply the week number by 15 (the number of trees planted each
week), or add 15 to the number of trees planted in the previous week.
For example, for week 1, the total number of trees planted is (1 x 15
= t). For week 2, the number of trees planted is (2 x 15 = 30).
To write this rule as a number sentence, students need to substitute w
for ‘week’ and t for “total number of trees” .
To find the total number of trees, t, after the 9th week, students need
to substitute 9 for w in the expression, (9 x 15 = 135). Students could
also continue the pattern in their table by adding 15 each week until
they get to 9 weeks.
B 500
A theater has 14 rows of seats. Each row has the
same number of seats. The theater has a total of
168 seats. Which equation can be used to find the
number of seats, s, in each row?
A.
B.
C.
D.
168 × 14 = s
14 × s = 168
168 – s = 14
14 + s = 168
C 100
B. 14 × s = 168
C 100
The graph shows Beth’s earnings while babysitting. Which statement describes how Beth’s total
earnings change as the number of hours of babysitting increases?
A. For every hour, the
amount she earns doubles.
B. For every five hours, the
amount she earns
increases by $1.
C. For every five hours, the
amount she earns
increases by $10.
D. For every hour, the
amount she earns
increases by $5.
C 200
D. For every hour, the
amount she earns increases
by $5.
C 200
Matt recorded the total number of
pennies he has saved at the end of
each week in the table shown.
Each week, Matt doubles the number of pennies he has saved. He
forgot to record the total number of pennies in week 2 and week 4.
Which completed table shows the correct number of pennies for
weeks 2 and 4?.
C 300
C 300
Last summer, Max earned 5 stickers for every
book he read. He earned 40 stickers in all for
reading books. Which number sentence could be
used to find b, the number of books Max read?
A. b ÷ 5 = 40
B. 5 + b = 40
C. b - 5 = 40
D. 5 x b = 40
C 400
D. 5 x b = 40
C 400
The table shows the
number of cans of paint
Joe used to paint
benches.
Qui ckT ime™ and a
T IFF (Uncompres sed) dec ompres sor
are needed to s ee this pic ture.
How many benches can he paint with 8 cans of
paint? ___
Use pictures, words or numbers to explain how
you found the number of benches.
C 500
The number of benches is twice
(two times) the number of cans:
22 = 4, 42 = 8, 62 = 12.
Qui ckT ime™ and a
T IFF (Uncompres sed) dec ompres sor
are needed to s ee this pic ture.
So, when there are 8 cans, there are 16 benches.
16 benches. The pattern is that you multiply the number of cans by 2
to get the number of benches you can paint. 8 × 2 = 16
16 benches. The table shows that the number of benches goes up by 4
so I added 12 + 4 = 16.
16 benches. The number of cans is doubled to get the number of
benches. 8 + 8 = 16.
The focus of this task is to provide evidence of analyzing, extending
and describing patterns. The response correctly identifies the number
of benches and provides adequate support to explain how to find the
C 500
answer.
The table below shows the amounts of money
needed to park for different numbers of minutes.
Each 6 minutes costs the same amount of money.
How much money will it cost to park for 60
minutes?
A. 50 cents
B. 55 cents
C. 65 cents
D. 72 cents
D 100
A. 50 cents
D 100
Angelina wrote the number pattern below.
101, 122, 143, 164, 185, ?
She adds the same number each time to
find the next number in the pattern. What
is the next number in Angelina’s pattern?
D 200
206
D 200
The total cost of 2 pencils is 30¢. Each
pencil costs the same amount. What is the
total cost of 3 pencils?
A. 15¢
B. 33¢
C. 45¢
D. 90¢
D 300
C. 45¢
D 300
Pedro wrote the number sentences
below.
36 = x 4
¾x ∆ = 18
The value of the same in both
sentences. Both of Pedro’s number
sentences are true. What is the value
of ∆?
D 400
2
D 400
Shannon made the map below to show the towns on Pine
Island.
She marked the distance, in inches, between Stanford
and Hillcrest on the map.
About how many miles is Stanford from Hillcrest?
A. 15
B. 30
C. 35
D. 45
D 500
D. 45
D 500
The table below shows the different numbers of
boxes that are needed to hold different numbers of
jars. Each box holds the same number of jars.
How many jars does each box hold?
A. 6
B. 8
C. 10
D. 12
E 100
A. 6
E 100
It costs $10 to rent a bicycle for 1 hour. It then
costs $5 for each additional hour. How much
money will it cost to rent a bicycle for 8 hours.
A. $40
B. $45
C. $50
D. $55
E 200
B. $45
E 200
It costs $10 to rent a bicycle for 1 hour. It then
costs $5 for each additional hour. Which table
shows the cost to rent a bicycle for up to 4 hours.
E 300
E 300
What is the missing number in this
function table?
A. 15
x
12
15
18
30
y
6
9
12
?
B. 18
C. 21
D. 24
E 400
D. 24
E 400
What is the rule of this function?
A. y = x + 2
B. y = 2x
C. y = x - 2
QuickTime™ and a
TIFF (Uncompressed) decompressor
are needed to see this picture.
D. y = x ÷ 2
E 500
B. y = 2x
X
Y
0
0
1
2
2
4
3
6
4
8
5
10
E 500
The Final Jeopardy Category is:
Please record your wager.
Click on screen to begin
Mrs. Fagan wrote this function table on
the board.
x
y
3
5
8
12
15
25
60
What is the rule of the function?
What is the missing number in the table?
If y = 75, how can you find x? What is
x?
Click on screen to continue
X5
40
Click on screen to continue
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