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6.3.7 I CAN use algebraic expressions to solve numeric and geometric patterns.
Patterns
There are patterns in art.
There are patterns in nature.
A sequence is an ordered set of numbers. Each number in a list is called a term of the sequence.
An Arithmetic sequence can be found by adding the same number to the previous term.
8, 16, 24, 32, …
+8 +8 +8
In a Geometric pattern, the sequence in number 2 is built on the sequence on number 1 and so forth.For example:
http://www.mathsisfun.com/algebra/triangular-numbers.html
PATTERNS
6.3.7
I CAN use algebraic expressions to solve numeric and geometric patterns.
My Function Machine takes a value called input and performs one or more operations on it according to a “rule” to produce a new value called the output.
output
input
What’s my rule?
Input(x)
Output (y)
0 5
1 6
2 7
3 ?
05x + 5
8The function rule describes the relationship between each input and output.
Today, we ARE learning to use
algebraic expressions and
properties to analyze numeric and geometric patterns – SPI
6.3.7
Now, let’s try some examples
!
Correct!
Divide by 2,
or x/2
What’s the rule for this
one?
See if you can guess the 2-step rule!
Input (x)
Output
(y)
0 1
1 5
2 9
3 13
Correct!
4x + 1
Practice Questions
G
Each number in the pattern below has the same relationship to the previous number n.
25, 40, 55, 70, 85, …
Write an expression that could be used to calculate the next number in the number pattern above?
Practice Questions
n + 15
Practice Questions
G
Practice Questions
Look at the number pattern.
12, 19, 26, 33, 40, …
Write an expression that can be used to describe the next term in the pattern in terms of the previous number x?
x + 7
Practice Questions
G
Practice QuestionsOlivia created the pattern of number below by using an expression.
5, 9, 17, 33, 65, 129, …
Write an expression that could have been used to create the part of number pattern above, when x represents the previous number in the pattern?
2x -1