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Patterning and Algebra (Definition and terminology (term value (what did…
Patterning and Algebra
Definition and terminology
term value
what did you get for the that term
Term Value
4
5
6
7
8
9
nth term
it a equation that can help you solve patterns
2n
2n can help you solve any term instead of dong gragh
2 is the number the pattern
the n is what term is it
Term number
what term
Term number
1
2
3
4
5
6
4, 5, 6, 7, 8, 9 these are the term value and they will change when the patter change
1, 2, 3, 4, 5, 6 these are the term numbers, and they will never change
Constant
they are the number that are never gone change
Example: 2a+5b+9c+100
100 ais the constant, because the 100 will never change
2a, 5b, 9c are the varible because they can change any times
variable
the are the unknown numbers, and they can change in any times
3x
pattern in real life
lines pattern
clothes pattern
Number patterns
1,8,27,64,125
1,2,3,4,5,6,7,8,9,
6,12,18,24,30,36,42
building patterns
How to find the n th term of a pattern
What is the n the term of 4,7,10,13,16,19,22,25,28
make a table of value
start with 4, add 1, increase by 3 each time
which you got 3n+1
because 3n mean increase by 3 each time and +1 mean add 1
Ways to represent patterns
model
cubes
I am sorrrrrry that I can not find any cube model pattern
Gragh
Linear
they shows patterrn
Non Linear
they are not linear patterns
They are all the non-linear pattern, and they can all represent patterns
Table of Value
Using a chart, that have Term value and term number
n th term
finding the nth term, sometimes is rather finding the next number of the pattern. Want to find the 100th term, you can just put the number as n, and calculate. You can find the term easier
how to find the n th term
for example:
1,2,9,16,25
start with one, times the term number to the term number
and than you will get
n times n as nn or n2
explain patter in word
for example
1,2,3,4,5,6,7,8,9
start with 1, add 1 each times
