Patterns
Sequence: 2, 4, 6, 8, …
Task: Find the next two numbers.
10,12,14,16
X: start at 81, divide by 3
Y: start at 64, divide by 2
x: 1 2 3 4 5
y: 3 6 9 12 15
what is my equation?
y=x times 3
first (x,y)= (0,0)
x= add 4
y= add 2
what are the next 4 ordered pairs?
(4,2)
(8,4)
(12,6)
(16,8)
5680+3462=
9,142
Sequence: 5, 10, 20, 40, …
Task: Find the next two numbers.
80,160
X: start at 5, add 7 each time
Y: start at 10, add 4 each time
x: 5 10 15 20 25
y: 1 2 3 4 5
What is my equation?
y=x divided by 5
X: start at 6 then multiply by 2
Y: start at 3 then multiply by 3
what are the next 4 ordered pairs?
Juan owns 12 sets of football cards. Each set has exactly 28 cards. How many cards does Juan own in all?
336 cards
Sequence: 3, 6, 12, 24, …
Task: Find the next two numbers.
48,96
X: start at 2, multiply by 2 then add 1 each time
Y: start at 3, multiply by 2 then subtract 1 each time
(2,3)
(5,5)
(11,9)
(21, 17)
x: 1 2 3 4 5
y:4 7 10 13 16
What is the equation?
y= x times 3+ 1
X starts at 100 and is divided by 2
Y starts at 150 and is divided by 5
what are the next ordered pairs?
Simone has $75 to spend on food for a party. She buys 3 containers of ice cream that cost $5.50 each. Then, she buys 6 packages of cookies that cost $3.25 each. How much money does Simone have left over?
Simone has $39 left over.
Sequence: 1, 2, 4, 8, 16, …
Task: Find the next two numbers.
32,64
X: start at 500, subtract 50 each time
Y: start at 1, multiply by 3
x: 1 2 3 4 5
y: 3 7 11 15 19
What is the equation?
y=x times 4-1
X: start at 100, divide by 2 then add 5 each time
Y: start at 50, divide by 5 then multiply by 3 each time
Connor scored 802,114 points in the arcade game. Esmat scored 798,110 points in the arcade game. How many more points did Connor score?
Connor scored 4,004 more points.
Sequence: 3, 8, 15, 24, 35, …
Task: Find the next two numbers.
48,63
X: start at 20, multiply by 2 then add 4 each time
Y: start at 3, multiply by 3 then add 3 each time
(20, 3), (44, 12), (92, 39), (188, 120), (380, 363)
x: 1 2 3 4 5
y: 2 5 10 17 26
What is the equation?
(hint: might have an exponent!)
y= x2+1
X: start at 100, subtract 10 then divide by 3 each time
Y: start at 5, multiply by 4 then subtract 5 each time
(4, 5), (14, 11), (44, 23), (134, 47), (404, 95)
x=6