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