Numeric Patterns and Rules
15, 16, 13, 14, 11, 12. Identify the pattern.
+1, -3
The first term in a sequence is 13. The rule is to add 20. Extend the sequence 5 more terms.
33, 53, 73, 83, 103
Christian is training for a bike race. In his first week of training, he biked 3 miles. The following week, he biked 6 miles. In the third week, he biked 9 miles. If this pattern, how many miles will he ride in his 5th week of training? Be prepared to explain your work.
He will ride 15 miles in week 5.
Create an input and output table to represent x + 3 = y, when x = 5, x = 7, and x = 10
y = 8, y = 10, y = 13
Show the order of operations using letters to represent each step. Be prepared to explain the order.
PEMDAS - parentheses, exponents, multiplication/division (whichever comes first left-to-right), addition/subtraction (whichever comes first)
4, 9, 14, 19, 24. Identify the rule and extend the pattern 3 more terms.
+5, 29, 34, 39
The first term in a sequence is 15. The rule is to subtract 4. Extend the pattern 3 more terms.
11, 7, 3
During winter break, Gaby drew 5 pictures on Monday, 12 pictures on Tuesday, and 19 pictures on Wednesday. If this pattern continued, how many pictures did she draw on Saturday? Be prepared to explain.
40 pictures
A bakery offers $3 any order of $15 or more. Create a table to show how much a customer paid for orders of $15, $20, $25, and $30.
$12, $17, $22, $27
In the equation 3 x 8 + 5 x 5, which operation do you do first?
3 x 8
Find the next number and identify the rule:
27, 23, 19, 15,
11. -4
Each ticket for the high school musical costs $8. Jessica already bought $24 worth of tickets. If she buys 5 more tickets, how much money will she have spent in all? Write a sequence.
$8, 16, 24, 32, 40, 48, 56, $64
There were 100 picnic tables in the park. During the first weekend of summer, there were 80 available tables. During the second weekend, there were 70 available tables. Create a table to represent this pattern and show how many tables will be available week 3.
65 tables available
JunHao shovels driveways during winter to earn some money. If he shovels two driveways, he earns $12. If he shovels 6 driveways, he earns $36. If this pattern continues, how many driveways will he have to shovel to earn $54? Show your work!
9 driveways
Solve: (3 + 6) / (3 x 1)
3
Stephanie bought 4 tickets to the basketball game for $12 and 5 tickets for $15. If the price stays the same, how much will she pay for 7 tickets?
$21
64 slices!
At the grocery store, a customer can earn a $4 discount for spending $20, a $9 coupon for spending $40, and a $14 coupon for spending $60. If the pattern continues, how much will a coupon be worth for spending $100? Draw a table.
$24
In a bag of candy, there are 3 Twix bars for every 1 Snickers. Create a table to show how many Snickers bars there would be if there are 9 Twix, 12 Twix, 15, Twix, 21 Twix, and 27 Twix.
3 Snickers, 4 Snickers, 5 Snickers, 7 Snickers, 9 Snickers
Find the missing number: ___ x (8 + 6) = 42
3
The chapters in Denzel's book follow a pattern. The even numbered chapters have 18 pages, and the odd numbered chapters have 15 pages. If the first page of chapter 1 is 1, extend the pattern to show how many pages he will have read after 6 chapters.
Chapter 1 - 15
Chapter 2 - 33
Chapter 3 - 48
Chapter 4 - 66
Chapter 5 - 81
Chapter 6 - 99
Julian puts an equal amount of money into his savings account every month. He started with $50. The next month, he had $80. Two months later, he had $140. How much will Julian have saved after 6 months?
$230
A towel has a repeating pattern of 2 green stripes, then 3 blue stripes, and 1 yellow stripe. If the towel has 20 stripes all together, how many green stripes does it have?
8 green stripes
Create your own input/output table for any multiplication or division equation you choose. Include 5 terms.
Create a table to represent the equation (r + 8) x 6 = s, when r = 2, r = 4, r = 6, and r = 7
s = 60
s = 72
s = 84
s = 90