Number Patterns 1
36, 49, 64
1, 4, 9, 16, 25, _____, _____, _____
Finish the pattern Rule: Add 31 77, __, __, __
108, 139, 170
18, 13, 20
12, 7, 14, 9, 16, 11, ____, ____, ____
Complete the tables for this input/output machine. Input (+12) Output 305 310 315 320 325
317 322 327 332 337
What is the next number in this pattern? 64, 56, 48, 40, __
32
Finish the pattern Rule: Add 16 21, __, __, __
37, 53, 69
Write the next five terms in each pattern: 25,29,30,34,35,___,___,___,___,___
39, 40, 44, 45, 49
add 3 to the number before
A number pattern is shown below. 1, 4, 7, 10, ? The pattern continues. Which rule could be used to find the next number in the pattern?
subtract 10 from the number before
A number pattern is shown below. 190, 180, 170, 160, ? The pattern continues. Which rule could be used to find the next number in the pattern?
Use a calculator when it helps. Write the next 4 terms in each pattern. Write each pattern rule. b) 36, 72, 144, 288, 576, ___, ___, ___, ___ Pattern Rule is:
1152, 2304, 4608, 9216 Multiply by 2 each time
Use a calculator when it helps. Write the next 4 terms in each pattern. Write each pattern rule. b) 3, 9, 27, 81, ___, ___, ___, ___ Pattern Rule is:
243, 729, 2187, 6561 Multiply by 3 each time
Input/output machine Input (+8) Output 17 16 15 14 13 12 11
25 24 23 22 21 20 19
add 5 to the number before
Mark created the number pattern below. 85, 90, 95, 100, 105, ?Which rule could Mark have used to create the number pattern?
1, 2, 34
0, 1, _____, _____, 3, 5, 8, 13, 21, _____
729
9, 27, 81, 243, _____, 2,187, 6,561
How many days will it take Ivo to practice a total of 15 hours?
15 hours x 60 minutes divided by 25 minutes per day or 15 x 60 divided by 25 = 36 days
Write the next five terms in each pattern: 3,4,6,9,13,___,___,___,___,___
18, 24, 31, 39, 48
What is the next number in this pattern? 18, 24, 30, 36, __
42
What is the next number in this pattern? 86, 82, __, 74, 70
78
subtract 50 from the number before
A number pattern is shown below. 200, 150, 100, 50, ? The pattern continues. Which rule could be used to find the next number in the pattern?
subtract 5 from the number before
A number pattern is shown below. 26, 21, 16, 11, ? The pattern continues. Which rule could be used to find the next number in the pattern?
add 15 to the number before
A number pattern is shown below. 30, 45, 60, 75, 90, ? The pattern continues. Which rule could be used to find the next number in the pattern?
What is the rule for this pattern? 42, 40, 38, ...
Subtract 2
What are the missing numbers in the pattern? 1, 4, __, 64, __, 1,024
16, 256
93
44, 51, 58, 65, 72, 79, 86, _____, 100
6
1, 3,_____, 10, 15, 21, 28, 36, 45
Predict how many books 10 boxes will hold.
To predict the number of books in boxes will hold, multiply: 10 x 15 = 150 10 boxes for Home 150 books.
What is the rule for this pattern? 2, 4, 8, 16, 32...
Multiply by 2
How many minibusses are needed for 170 students?
170 students divided by 18 = 170 divided by 18 = 9 with a remainder of 8
How many students can ride in 25 minibusses?
25 x 18 = 450
add 2 to the number before
A pattern of numbers is shown below. 4, 6, 8, 10, ... The pattern continues. Which rule could be used to find the next number in the pattern?
multiply the number before by 2
A pattern of numbers is shown below. 6, 12, 18, 24, ? The pattern continues. Which rule could be used to find the next number in the pattern?
Look at the table. Write the number and the operations in each machine. Input Output 840 42 800 40 760 38 720 36 680 34
Divide by 20
The table shows the input/output from a machine. Write the number and operation for the machine. Input Output 3456 1152 3531 1177 3606 1202 3681 1227 3756 1252
Divide by 3
What is the rule for this pattern? 1, 5, 25, 125, 625...
Multiply by 5
Finish the pattern Rule: Add 75 20, __, __, __
95, 170, 245
What are the missing numbers in the pattern? 270, _____, 30,_______, 3.33
90, 10
subtract 7 from the number before
A number pattern is shown below. 33, 26, 19, 12, ? The pattern continues. Which rule could be used to find the next number in the pattern?
subtract 15 from the number before
A number pattern is shown. 150, 135, 120, 105, 90, ? The pattern continues. Which rule describe show to find the next number in the pattern?
What are the missing numbers in the pattern? 3, 6, __, 24, __, 96, 192
12, 48
12.5, 6.25, 3.125
200, 100, 50, 25, ______, ______, ______
How many minutes does Ivo practice in 10 days.
25 x 10 = 250
2, 9, 0
6, 13, 4, 11, _____, _____, _____
64, 125
1, 8, 27, _____, _____, 216, 343, 512, 729
Look at the tables in question 16 and 17. Write the pattern rule for each group of terms. The output numbers in 16 The input numbers in question 17
1. Start at 25 and subtract 1 2. Start at 40 and subtract 4
Input/output machine Input (divide by 4) Output 40 36 32 28 24 20 16
10 9 8 7 6 5 4
How many students can ride in 10 minibusses
10 x 18 = 180
Write the first 5 terms of as many different patterns as you can that start with the terms19, 24, ...
19, 24, 29, 34, 39, 44, 49 or 19, 24, 22, 27, 25, 30, 28 or???
One box holds 15 books. How many books will 2 boxes hold? 3 boxes? 4 boxes? Make a table.
2 boxes hold 30 books. 3 boxes hold 45 books. 4 boxes whole 60 books.
Start at 2, Alternately add 6, then subtract 2.
2, 8, 6, 12
Write the next five terms in each pattern: 16, 19, 17, 20, 18, ___,___,___,___,___
21, 19, 22, 20, 23
Finish the pattern Rule: Divide by 3 63, ___, ____, ____
21, 7, 2.3 (2 R1)
What are the missing numbers in the pattern? 15, 30, _____, 60, _____, 90
45, 75
What is the next number in this pattern? 21, 28, 35, 42, __
49
Write the 6th term of each pattern. a) Start at 500. Alternatively add 50, then subtract 15.
500, 550, 535, 585, 570, 620 620 is the 6th term
Write the 6th term of each pattern. c) Start at 763. Subtract 13 each time.
750, 737, 724, 711, 698, 685 685 is the 6th term
Complete the tables for this input/output machine. Input (-11) Output 93 90 87 84 81
82 79 76 73 70
Write the 6th term of each pattern. b) Start at 85. Add 7. Increase the number you add by 3 each time.
85, 92, 102, 115, 131, 150 150 is the 6th term
Write the 6th term of each pattern. d) Start at 97. Alternatively subtract 9 then add 2.
88, 90, 81, 83, 74, 76 76 is the 6th term
Ivo practices the guitar 25 minutes every day. Make a table to show how many minutes I will practices in one week.
Day # of minutes 1 25
What is the rule for this pattern? 300, 150, 75, 37.5, 18.75
Divide by 2
Start at 999. Write the first 7 terms of a pattern. Write the pattern rule.
review your answer
Predict the cost of 10 tickets
10 x 11 = 110
122, 80, 52
150, 136,_____, 108, 94, _____, 66, _____, 38
Extend the pattern. How many tickets can you buy with $155?
155 divided by 11 = 14 with $1 remaining
Use a calculator when it helps. Write the next 4 terms in each pattern. Write each pattern rule. a) 100, 125, 120, 145, 140, ___, ___, ___, ___ Pattern Rule is:
165, 160, 185, 180 Pattern Rule: Start at 100 add 25 then subtract 5
24, 30, 33
3, 6, 12, 15, 21, ____, ____, ____
Finish the pattern Rule: Multiply by 3 1, __, __, __
3, 9, 27
How many minutes will Ivo practice in November?
30 x 25 = 750
What is the next number in this pattern? 37, 49, 61, __, 85
73
What are the missing numbers in the pattern? 97, 86, __, 64, 53, __, 31
75, 42
Write the pattern rule for the cost.
Start at 11 and add 11 each time
The table shows the input/output from a machine. Write the Pattern rule for the input numbers Input Output 3456 1152 3531 1177 3606 1202 3681 1227 3756 1252
Start at 3456 and add 75 each time
22, 17, 10
53, 46, 41, 34, 29, _____, _____, _____
Write the first 4 terms of each Pattern. Start at six. At seven each time.
6, 13, 20, 27
Finish the pattern Rule: Subtract 15 90, __, __, __
75, 60, 45
How many hours is that?
750 minutes divided by 60 = 12.5 hours
Use a calculator when it helps. Write the next 4 terms in each pattern. Write each pattern rule. b) 85, 81, 90, 86, 95, ___, ___, ___, ___ Pattern Rule is:
91, 100, 96, 105 Pattern rule is start at 85 subtract 4 then add 9
What is the rule for this pattern? 1, 2, 4, 7, 11, 16
Add 1, add 2, add 3, add 4, ...
What is the rule for this pattern? 13, 16, 19, 22, 25...
Add 3
What is the rule for this pattern? 35, 40, 45, 50...
Add 5
Look at the table. Write the number and the operations in each machine. Input Output 11 143 20 260 29 377 38 494 47 611
Multiply by 13
One concert ticket costs $11. Complete the table to find the cost of 7 tickets. Number of tickets Cost ($) 1 2 3 4
Show me
One minibus holds 18 students. Make a table to show how many students can ride in 6 minibuses.
Show work Minibus Students 1 18 2 3 4 5 6
The table shows the input/output from a machine. Write the Pattern rule for the output numbers Input Output 3456 1152 3531 1177 3606 1202 3681 1227 3756 1252
Start at 1152 and add 25
Write a pattern rule for the number of students.
Start at 18 and add 18 each time