Patterns 6.3.7 I CAN use algebraic expressions to solve numeric and geometric patterns.

There are patterns in art.

There are patterns in nature.

A sequence is an ordered set of numbers 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. input output

What’s my rule? x + 5 5 Input (x) Output (y) 5 1 6 2 7 3 ? 8 The 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!

What’s the rule for this one? Correct! Divide by 2, or x/2

See if you can guess the 2-step rule! Input (x) Output (y) 1 5 2 9 3 13 Correct! 4x + 1

Practice Questions G

Practice Questions 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? 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 Questions Olivia 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