# Lesson: Finding the Rule to a Pattern

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### Lesson Objective

SWBAT determine the rule for a pattern

### 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 you found this task fun. I really like patterns so I am excited to teach you about them today. Today, we are going to learn about patterns, by the end of the lesson, you will be able to the rule for a pattern.”

Direct Instruction (10 min): Teacher explains, “A pattern is a series of repeating numbers, shapes, symbols. This is important, because you won’t only see number patterns on the DC-CAS, so we need to be comfortable with shapes, symbols and numbers and understand them all as potential patterns. The one and only key to patterns is to “FIND THE RULE!” There is always a rule when you are asked to complete or extend a pattern. Sometimes you will be asked to fill in a missing number in a pattern, and the key to solving that is the same, FIND THE RULE. What is our key to solving patterns? [FIND THE RULE]. Great! Now, I know you are with me, so watch as I find the rule to this pattern.”

2, 5, 8, 11, __, __, __

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 3 more than the one before it, so the rule is add 3

Teacher should review the process of finding the rule one more time before letting the students continue on to the guided practice.

Guided Practice (6-8 min): The teacher posts the following on the board and then asks the students to find the rule for both patterns in groups of two.

Example 1:
1, 2, 4, 8, 16, ___, ____, ___     (Rule: multiply by 2)

Example 2:
3, 7, 11, 15, 19, ____, ___, ___ (Rule: add 4)

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

 IND Lesson 2   Classwork 1,891 DN Lesson 2   Starter / Do Now 1,237