# Lesson: Extending a Pattern

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### Lesson Objective

SWBAT extend a pattern based on a rule

### Lesson Plan

Materials Needed: scrap paper, white board, dry erase markers, pencils, Do Now worksheet, IND Worksheet
……….
Do Now (3 -5 min): The teacher passes out the DN worksheet, which requires the students to complete simple patterns.

Opening (2 -3 min): Teacher opens by reviewing the answers to the Do Now and asking the students for a thumbs up / thumbs down about the difficulty of this task. The teacher then states the objective, “Good! I am glad to hear that it was a little easier to do this worksheet. Today, we are going to learn more about patterns, by the end of the lesson, you will be able to extend a pattern once you have determined the rule.”

Direct Instruction (10 min): Teacher explains, “Think back to yesterday, I showed you how to find a rule to a pattern. You need the rule to extend the pattern.” The teacher then puts the following example on the board and reviews the steps for finding the rule.

5, 11, 17, 23, 29, ____, ____, _____

Step 1: Look for a number pattern
Step 2: FIND THE RULE ~ Ask yourself, “What is the relationship between each number?”
Step 3: In this pattern, each number is 6 more than the one before it.
Step 4: The rule is add 6

When extending this pattern the teacher should have the following visible for students:

29+6=35       35+6=41        41+6=47

5, 11, 17, 23, 29, 35, 41, 47

The teacher continues, “Ok, did everyone see how I followed my steps to extend the pattern? I first need to look at the relationship between the numbers (or in some cases shapes/symbols) between the numbers. Patterns are never random, so we should NOT just pick a random number to extend the pattern on. We need to first figure out how the numbers are related to each other, do I add to get to the next number? Do I subtract? Multiply? Divide? Then you can use the rule to extend the pattern. Now, I want to give you a chance to extend a pattern in small groups.”

Guided Practice (6-8 min): The teacher writes the following on the board and asks the students to find the rule and extend the pattern in small groups.

Example 1:
2, 7, 12, 17, 22, ____, _____, _____ (Rule: add 5)

Example 2:
3, 9, 27, ____, ______, _____ (Rule: multiply by 3)

Example 3:
6, 26, 216, 1,296, _______, _________ (Rule: multiply by 6)

Independent Practice (10 min): The teacher passes out a worksheet to the students to complete on their own.

Closing (2-3 min): Teacher calls the attention of the students back toward the front of the class to quickly review the answers to the Independent Practice worksheet/ ask what we learned about.

### Lesson Resources

 DN lesson 3   Starter / Do Now 934 IND Lesson 3   Classwork 761