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Grade 5, IM Unit 7C: Numerical Patterns
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If Jada and Priya continue their patterns, what number will be in Priya's pattern when Jada's pattern has 40?
80 because 34 + 4 = 40 and 72 + 8 = 80.
If Jada and Priya continue their patterns, what number will be in Jada’s pattern when Priya’s pattern has 192?
96 because 192 Ă· 2 = 96
What relationships do you notice between the numbers in Priya's pattern and the numbers in Jada's pattern?
Priya’s numbers are double Jada’s numbers. Jada’s numbers are half of Priya’s numbers. All of Priya’s numbers are in Jada’s pattern.
What number will be in Joslyn’s pattern when Kailyn’s pattern has 34? How do you know?
102 since it is 3 times as much as Kailyn’s number.
What number will be in Kailyn’s pattern when Joslyn’s pattern has 198? How do you know?
40 since it's â…“ as much as Joslyn's number.
What relationships do you notice between the numbers in Joslyn's pattern and the numbers in Kailyn's pattern?
The numbers in Joslyn’s pattern are 3 times the corresponding number in Kailyn’s pattern. Kailyn’s numbers are 1/3 of Joslyn’s.
What patterns do you observe between these two lists of numbers?
Each number on the second list is twice the corresponding number on the first list.
When the first list has the number 222, what number will be on the second list? How do you know?
226 because each number on the second list is 4 more than the corresponding number on the first list.
Who tossed the coin more times, Lin or Tyler? How do you know?
Tyler tossed it 9 times since he got 6 heads and 3 tails. Lin only tossed the coin 8 times since she got 3 heads and 5 tails. Tyler tossed the coin more.
Who got more tails, Lin or Tyler? How do you know?
Lin got more tails than Tyler. Lin's y-coordinate (representing the number of tails) is 5, but Tyler's y-coordinate is only 3.
How many heads and tails did Jada get? How do you know?
Jada got 6 heads and 3 tails. Her point has horizontal coordinate 6, representing the heads, and vertical coordinate 3, representing the tails.
How many heads and tails did Han get? How do you know?
Han got 3 heads and 5 tails. His point has horizontal coordinate 3, representing 3 heads, and vertical coordinate 5, representing the tails.
Describe what Point A represents.
Point A represents 2 half dollars (x-axis) that weigh a total of 25 grams (y-axis).
Describe what Point B represents.
Point B represents 3 half dollars (x-axis) that weigh a total of 37.5 grams (y-axis).
What relationships do you notice between corresponding terms in the two patterns?
The numbers with rule 2 are twice as large as the corresponding numbers with rule 1. The numbers with rule 1 are ½ the corresponding numbers with rule 2.
Kelly says that when Sarah's number is 45, Brooke's corresponding number will be 90. Is Kelly correct? How do you know?
Kelly is wrong because 90 is not a multiple of 4, so 90 isn't on Brooke's list. When Sarah's number is 45, Brooke's number would be 60.
What number will be in Katelin's pattern when Kenadie’s pattern has 100?
200
What is the relationship between corresponding numbers in the two patterns?
Chelsea's numbers are double Emily's numbers. Emily's numbers are half of Chelsea's numbers.
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