Numeric and Nonnumeric patterns
Sequences
Input
and
Output
Order
of
Operations
Equations with
Multiple Operations
100
What is a sequence showing a relationship among terms that are not numbers
Nonnumeric pattern
100
A collection of terms that show a pattern?
Sequence
100
A quantity that is changed by a function to produce an output.
Input
100
A mathematical process such as addition, subtraction, multiplication, or division.
Operation
100
An amount that is not known.
Unknown
200
What is a statement that describes a relationship between numbers or objects
Rule
200
Each number in a sequence?
Term
200
The result of an input quantity being changed by a function.
Output
200
In what order do you solve the operations?
1. Parentheses, 2. Multiply or divide, 3. Add or subtract
200
In the equation (f+5)X3=g, When f=4, g= What would you do first?
Substitute 4 for f= (4+5)X3=g
300
What is the Rule for this Pattern? 4, 20, 100, 500, 2,500
Multiply by 5
300
Extend the pattern. Rule: add 6 Pattern: 3,
9, 15, 21, 27
300
Write an equation that describes the pattern. Input(j)-25, 35, 45, 55, 65 Output(k)- 21, 31, 41, 51, 61
j-4=k
300
Find the value of the expression. 7+3X6=
25
300
Solve the equation. (f+5)X3=g When f=4, g=
27
400
Find the rule for the pattern. Then extend the pattern. 44, 22, 20, 10, 8,
Divide by 2. Then subtract 2. 4
400
Extend the pattern by 4 terms. Rule: Multiply by 2 Pattern: 4
8, 16, 32, 64
400
Write an equation that describes the pattern. Then find the next two output numbers. Input(g)- 1, 2, 3, 4, 5 Output(k)-3, 6, 9,
gx3=k 12, 15
400
(6-4)X9=
18
400
Solve the equation (sX4)+7=y When s=8, y=
39
500
Kenneth displays his picture frames in the pattern shown below. Every other picture is of his friends and the rest are of his family. If the first picture is of his family, what picture will be in the third square frame.
Friends
500
The admission for an art museum costs $5 per person. Make a table to find out how much it would cost for 2, 3, 4, 5, and 6 people to visit the museum.
2=$10 3=$15 4=$20 5=$25 6=$30
500
Mrs. Brown's class can earn 5 minutes of extra recess for each marble she puts in a jar. The class has 15 minutes of recess each morning. Make an input/output chart to find how many minutes of recess they will get if they earn 3 marbles?
Input(m)- 1, 2, 3 Output(f)- 20, 25, 30 30 Minutes
500
(5+2)X7=
49
500
Complete the equation. 3X(10-t)+4=y When t=5, y=
19