Tables of Values 1
A table of values will have 3 different pattern rules. They describe the pattern for the input, the output, and _________.
What is the pattern rule that relates the input to the output?
Input: 2, 4, 6, 8, 10
Output: 14, 16, 18, 20, 22
Input +12 = Output
Kilee builds model cars. She needs 4 plastic wheels for each car she builds. If c is the number of cars she is building and w is the number of wheels she needs, write an expression that relates the number of cars built to the number of wheels needed.
w = 4c
or
w = 4 x c
Model the equation on a whiteboard:
4 + 5 = 9
Mr. Morgan will judge
An ordered pair has the coordinates (4,0), What do you know about the location of the point?
It is on the horizontal axis because the second number is 0
The pattern rule that relates the input to the out is: Add 4 to the input then divide by 2. Find the mistakes in the output table.
Input: 4, 8, 16, 26, 30
Output: 2, 4, 10, 15, 19
Mistakes in the output:
2, 4, 19
Correct output: 4, 6, 10, 15, 17
Input: 1, 2, 3, 4, 5
Output: 9, 16, 23, 30, 37
Input: 6, 7, 8, 9
Output: 44, 51, 58, 65
The Grade 6 class held a dance-a-thon to raise money. Syryl pledged $10 plus $4 for each hour that Joaquin danced. Write an expression to relate the number of hours (h) Joaquin danced to the amount of money (m) that Syryl will donate.
m = 10 + 4h
Model the equation on a whiteboard, then show the preservation of equality of addition.
12/6 = 9 - 7
Mr. Morgan will judge.
The following ordered pairs are on a grid:
(0,10), (30,0), (60, 20), (50, 10)
What scale would you use for the axis? One square is equal to _______
One square is equal to 10 units.
One machine uses the equation
Input x6 +1 = Output
the other machine uses
Input +1 x6 = Output
Will these have the same Output table? Why or why not?
No, the output tables will be different because of BEDMAS/order of operations. This will change the answer.
Predict the output when the input is 10
Input: 4, 5, 6, 7
Output: 17, 21, 25, 29
When the input is 10 the output is 41
Write an expression that relates the input to the output.
Input: 1, 2, 3, 4, 5
Output: 0, 2, 4, 6, 8
If 48 = 6s, what is s equal to?
48 = 6s so you must divide both sides by 6
8 = s
Point A is at (6, 4) and Point B is 3 spots to the left and 2 spots down from Point A. What are the coordinates of Point B?
(3,2)
Write the equation that relates the input to the output.
Input: 1, 2, 3, 4, 5
Output: 1, 5, 9, 13, 17
Input x 4 - 3 = Output
Fill in the 3 missing output numbers.
Input: 3, 6, 9, 12, 15
Output: 9, ?, ?, 45, ?
Write an expression to represent the pattern
Number (n): 0, 1, 2, 3, 4
Amount ($): 5, 11, 17, 23, 29
6n + 5 = $
Model the equation on a whiteboard then show the preservation of equality of division.
9 x 2 = 10 + 8
Mr. Morgan will judge
Point A is at (1,4). Point B is 4 spots above Point A. Point C is 3 spots to the right of Point B. What are the coordinates of Point C?
(5,7)
Find the relationship between input and output
Input: 1, 3, 5, 7, 9
Output: 0, 16, 32, 48, 64
Input - 1 x 8 = Output
Find the relationship between input and output.
Input: 2, 4, 6, 8, 10
Output: 7, 19, 31, 43, 55
Input x 6 - 5 = Output
In a dogsled race, teams of 6 dogs race to the finish. Write an expression to represent the number of teams entered in the race t to the number of dogs needed d.
6t = d
y = 4x + 3
If x = 6, what is y?
y = 4x + 3
y = 4(6) + 3
y = 24 + 3
y = 27
What is Mr. Morgan's middle name?
I will never tell you