Extend the Pattern- given terms
Pattern Rules in words
Pattern Word Problems
Input/output machines
Extend the pattern ( given pattern rules)
100
What are the next three terms in this pattern:
3, 6, 9, __, __, ___
12, 15, 18?
100
This is a recursive pattern.
The rule for the pattern 5, 7, 9, 11 is ..
start at 5, add 2 each time
100
If the temperature at 9:00 am was -7° C and the temperature rose 1 ° C each hour during the day, what was the temperature by 5 pm?
+1 ° C
100
Complete the output: 4x +3
Input : 1, 2, 3, 4, 5
7 , 11, 15, 19 , 23
100
State the first five terms in the following pattern:
Start at 0 and add 2 each time
0, 2, 4, 6, 8
200
What are the next three terms in this pattern:
Complete the pattern for 10, 15, 20, __, __, __
25, 30, 35?
200
This is a recursive pattern.
The rule for the pattern 9, 14, 19 is..
start at 9, add 5 each time
200
Each rose has 6 petals. If I add all the petals of the roses together, when I get to the 4th rose I will have a total of.....petals.
Roses pattern > 1, 2, 3, 4
Petals pattern > 6, 12, 18, 24
So the answer is 24 petals!!
200
Complete the output:
x/3 -2
Input 30 , 60, 90 , 120 , 150
8, 18, 28, 38, 48
200
Give the first 5 terms in this pattern:
Start at 30 and subtract 2 each time
30, 28, 26, 24, 22, 20, ...
300
What are the next three terms in this pattern:
7, 14, 28, __, __..
56, 112, 224
300
This is a recursive pattern.
The rule for the pattern 23, 20, 17, 14 is..
start at 23, subtract 3 each time
300
Each player gets 1 bat and 10 balls to practice their baseball skills. I create a table containing the pattern for players and balls. How many balls are on the court if there are 6 players?
players pattern > 1,2,3,4,5,6
balls pattern >10,20,30,40,50,60
so the answer is 60 balls on the court
300
Find the rule and continue the pattern for the input and output columns.
Input Output
2 0
3 2
4 4
_ _
rule: 2x - 4
Input : 5 , Output : 6
300
List the first 5 terms:
start at 150, triple each term to get to the next term
150, 450, 1350, 4050, 12150
400
What are the next three terms in this pattern:
8, 15, 29, __, __, __....
57,113, 225
400
This is a recursive pattern:
The rule for the pattern 30, 61, 123, 247 is ….
Start at 30, multiply by 2 and add 1 each time
400
Suppose there is a game called "Money".
2 dimes always remains on the board, regardless of how many players play. Each player receives 4 nickels.
If there are 42 coins in total during one game, how many players are playing?
pattern rule: 4x +2
Answer= 10 players
4(10) +2= 42
400
Find the rule and continue the pattern for the input and output columns.
Input Output
1 8
2 11
3 14
4 17
_ _
rule: 3x + 5
Input : 5 Output : 20
400
Maddie is good at chess but I am better! For every game she wins, I win 12. If Maddie has won 10, I have won...
120 games
500
Joanna is building a series of 6 designs, using toothpicks to create the pattern. The number of toothpicks used in each of the last three designs is as follows:
Last design:105 toothpicks
Fifth design:85 toothpicks
Fourth design:65 toothpicks
How many toothpicks will be used in designs 1, 2 and 3?
5, 25, 45
500
This is a recursive pattern.
The rule for the pattern 25, 42, 76, 144 is..
Start at 25, multiply by 2 then subtract 8 each time
500
The bell on the Big Ben clock in London, England chimes the hour every hour. At one o’clock it chimes once, at two o’clock it chimes twice, at three o’clock it chimes three times, and so on. How many times does it chime from 12:01 a.m. to 12:01 p.m.?
1 +2+3+4+5+6+7+8+9+10+11+12= 78
500
Find the rule and continue the pattern.
Input Output
5 4
10 14
15 24
20 34
25 44
__ __
rule: 2x - 6
Input : 30 Output : 54
500
Tracen loves chocolate milk! He can drink two more glasses for every glass his sister has. If he drinks 4 glasses, then I can drink...
12 glasses of milk
Letaya - 1 Tracen - 3
Letaya -2 Tracen - 6
Letaya - 3 Tracen - 9
Letaya- 4 Tracen -12