Analyzing Patterns 5.OA.B.3

Learning Target I can identify relationships between corresponding terms in two numerical patterns. I can FORMULATE two numerical patterns using two given rules. (numerical pattern is a list of numbers that follows a constant rule.) I can form ordered pairs consisting of corresponding terms from two numerical patterns and graph them. Repeat after me.

Our Goal 1) Form two numerical patterns using the given rules “add 6” to the x-coordinate starting at zero, and “add 2” to the y-coordinate starting at zero. 2) Form the ordered pairs by putting together corresponding terms. (0, 0) ______ ______ ______ 3) Graph the ordered pairs on the coordinate grids. X Y

Analyzing Patterns What is a pattern?? Patterns are things that are arranged because they follow a rule.

Let’s look at the relationship between corresponding terms. Analyzing Patterns First, you must know what corresponding terms are. Corresponding terms are terms that are in the same position in the two patterns. For example: The first number in each pattern (2, 3) (x, y) x = 2, 4, 6, 8, 10 y = 3, 5, 7, 9, 11 Let’s look at the relationship between corresponding terms.

You Watch Me

You Try and I will Help

You Try and I will Help

1 2 You Watch Me Several different types of examples; Generate patterns using the two rules. Then, complete the statement about how the corresponding terms in each pair are related. Rule 1: add 4 0, 4, ___, ___, ___ Rule 2: add 12 0, 12, ___, ____, ____

4 3 You Watch Me Markers: add 10 Posters: _______ Markers Posters 5 20 30 15 Rule Rule Input Output 4 24 5 30 36 7

You Try and I will Help You Complete the numeric patterns using the rules. Write the ordered pairs for the corresponding terms. Rule 1: add 6 0, ___, ___, ___ Rule 2: add 3 0, ___, ___, ___ 2) Complete the numeric patterns using the rules. Write the ordered pairs for the corresponding terms. Rule 1: multiply by 2 1, ___, ___, ____, ____ Rule 2: multiply by 2 2, ___, ___, ____, ____ Find the relationship between corresponding terms.

You Try a Few More Find the relationship between corresponding terms to find the rule on numbers 1 and 2. Complete each chart. 1 2 3 Use the rules to complete the numeric patterns. Write the ordered pairs. Rule 1: add 5 15, 20, ____, ____, ____ Rule 2: add 10 20, 30, ____, ____, ____

Prove IT!!! Can You Hit The Target? I can identify relationships between corresponding terms in two numerical patterns. I can generate two numerical patterns using two given rules. I can form ordered pairs consisting of corresponding terms from two numerical patterns and graph them. Prove IT!!!

Group Work Corner One: Take your pencil to corner one. Work together to solve the problems. Corner Two: Take your pencil to corner two. Work together to solve the problems. Corner Three: Take your pencil to corner three. Work together to solve the problems. Corner Four: Take your pencil to corner four. Work together to solve the problems.

Exit Ticket 1) Form two numerical patterns using the given rules “add 6” to the x-coordinate starting at zero, and “add 2” to the y-coordinate starting at zero. 2) Form the ordered pairs by putting together corresponding terms. (0, 0) _______ _______ _______ 3) Graph the ordered pairs on the coordinate grids. X Y