Post on 25-Feb-2016
description
DESCRIBING NUMBER PATTERNS
What is the simplest number pattern in the world?
1, 2, 3, 4, 5 . . . .(The Counting Numbers)
A number pattern includes terms, placed in a certain order.
Both the term number and the term value are important.
DESCRIBING NUMBER PATTERNS
What is the simplest number pattern in the world?
1, 2, 3, 4, 5 . . . .(The Counting Numbers)
A number pattern includes terms, placed in a certain order.
Both the term number and the term value are important.
Pattern Rule: Start at 1 and add 1 each time.
Term Number
n 1 2 3 4 5
Term Value n 1 2 3 4 5
DESCRIBING NUMBER PATTERNS
Usually the term values do not match the term numbers like they did in our first example.
Sometimes, an amount will have to be added or subtracted to the term number to get the term value.
Write an expression using n to represent the following pattern.
DESCRIBING NUMBER PATTERNS
Usually the term values do not match the term numbers like they did in our first example.
Sometimes, an amount will have to be added or subtracted to the term number to get the term value.
Write an expression using n to represent the following pattern.
Pattern Rule: Start at 4 and add 1 each time.
Term Number
n 1 2 3 4 5
Term Value 4 5 6 7 8
DESCRIBING NUMBER PATTERNS
Usually the term values do not match the term numbers like they did in our first example.
Sometimes, an amount will have to be added or subtracted to the term number to get the term value.
Write an expression using n to represent the following pattern.
Pattern Rule: Start at 4 and add 1 each time.
Term Number
n 1 2 3 4 5
Term Value n + 3 4 5 6 7 8
DESCRIBING NUMBER PATTERNS
Write an expression using n to represent the following pattern.
DESCRIBING NUMBER PATTERNS
Write an expression using n to represent the following pattern.
Pattern Rule: Start at -3 and add 1 each time.
Term Number
n 1 2 3 4 5
Term Value -3 -2 -1 0 1
DESCRIBING NUMBER PATTERNS
Write an expression using n to represent the following pattern.
Pattern Rule: Start at -3 and add 1 each time.
Term Number
n 1 2 3 4 5
Term Value n - 4 -3 -2 -1 0 1
DESCRIBING NUMBER PATTERNSIn the previous examples, the term values always changed by 1.
This is not always the case. Sometimes the term values will change by a regular amount other than one.
In these cases, we must multiply n by the amount of the change.
Write an expression using n to represent the following pattern.
DESCRIBING NUMBER PATTERNSIn the previous examples, the term values always changed by 1.
This is not always the case. Sometimes the term values will change by a regular amount other than one.
In these cases, we must multiply n by the amount of the change.
Write an expression using n to represent the following pattern.
Pattern Rule: Start at 6 and add 6 each time.
Term Number
n 1 2 3 4 5
Term Value 6 12 18 24 30
DESCRIBING NUMBER PATTERNSIn the previous examples, the term values always changed by 1.
This is not always the case. Sometimes the term values will change by a regular amount other than one.
In these cases, we must multiply n by the amount of the change.
Write an expression using n to represent the following pattern.
Pattern Rule: Start at 6 and add 6 each time.
Term Number
n 1 2 3 4 5
Term Value 6n 6 12 18 24 30
DESCRIBING NUMBER PATTERNS
Write an expression using n to represent the following pattern.
DESCRIBING NUMBER PATTERNS
Write an expression using n to represent the following pattern.
Pattern Rule: Start at -4 and subtract 4 each time.
Term Number
n 1 2 3 4 5
Term Value -4 -8 -12 -16 -20
DESCRIBING NUMBER PATTERNS
Write an expression using n to represent the following pattern.
Pattern Rule: Start at -4 and subtract 4 each time.
Term Number
n 1 2 3 4 5
Term Value -4n -4 -8 -12 -16 -20
DESCRIBING NUMBER PATTERNSSometimes, the required expression will involve both multiplication and addition/subtraction.
Use a 2-step approach:1) Find the amount by which the term values are changing.
This will be the number that will multiply n.2) Test your expression by doing the multiplication and then
seeing what amount must be added or subtracted to get the proper term values.
Write an expression using n to represent the following pattern.
DESCRIBING NUMBER PATTERNSSometimes, the required expression will involve both multiplication and addition/subtraction.
Use a 2-step approach:1) Find the amount by which the term values are changing.
This will be the number that will multiply n.2) Test your expression by doing the multiplication and then
seeing what amount must be added or subtracted to get the proper term values.
Write an expression using n to represent the following pattern.
Term Number
n 1 2 3 4 5
Term Value 5 8 11 14 17
DESCRIBING NUMBER PATTERNSSometimes, the required expression will involve both multiplication and addition/subtraction.
Use a 2-step approach:1) Find the amount by which the term values are changing.
This will be the number that will multiply n.2) Test your expression by doing the multiplication and then
seeing what amount must be added or subtracted to get the proper term values.
Write an expression using n to represent the following pattern.
Term Number
n 1 2 3 4 5
Term Value 3n + 2
5 8 11 14 17
DESCRIBING NUMBER PATTERNS
Write an expression using n to represent the following pattern.
DESCRIBING NUMBER PATTERNS
Write an expression using n to represent the following pattern.
Term Number
n 1 2 3 4 5
Term Value 7 6 5 4 3
DESCRIBING NUMBER PATTERNS
Write an expression using n to represent the following pattern.
Term Number
n 1 2 3 4 5
Term Value -n + 8
7 6 5 4 3
DESCRIBING NUMBER PATTERNSA number pattern is described by the following expression:
8n - 3Create an equation and solve it to find the term number of the term with a value of 101.
8n - 3 = 1018n - 3 + 3 = 101 + 3
8n = 104
= n = 13
The 13th term in the sequence is equal to 101.