📊Lesson 5.9 Outline- Introducing Growing Patterns

Standards:

4.OA.5 Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, gian the rule "Add 3" and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informal why the numbers will continue to alternate in this way. 

Objectives:

Math Objective: I can understand the definition of a growing pattern and be able to extend a growing pattern to the next three terms. 

Language Objective: I can describe and discuss growing patterns. 

Vertical Alignment:

3.OA.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. 

4.OA.5 Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, gian the rule "Add 3" and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informal why the numbers will continue to alternate in this way. 

5.OA.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisiting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. 

Notes:

1. It is important to approach this lesson as a whole-class task, with the focus of the instruction on student discovery and discussion. Possible student answers are included in the lesson. Students may produce additional valid observations.

2. Students see how patterns grow in many different ways. Having flexibility for students to share their ideas in classroom discussion is key in being able to have the type of discussion of patterns required by the standard addressed in Lessons 7–11 of this chapter. For an example of the different ways that students may see a growing pattern, view the video found in Teacher Resource #1.

Lesson Outline:

🚀Launch

Student predict the next three terms of the pattern below. 

🤔Explore

Students practice predicting the next terms of patterns and trying to notice multiple growing features of the following growing patterns. 

Thinking out loud as you notice different aspects of the pattern may be helpful for students to get ideas of what to look for. 

💬Discuss

Student will write about the differences they notice between a repeating and growing pattern. 

✅Exit Ticket

Students create a growing pattern based on a rule and reflect on their learning.

Additional Resources:

Teacher Resource #1: Jo Boaler-Multiple Ways to See a Pattern Links to an external site.

Teacher Resource #2: Exploring the Power of Growing Patterns Article Links to an external site.

Differentiation:

Challenge: For students who need a challenge, patterns with rules that increase the terms by multiplying are more complex in nature. Give students opportunities to work with patterns that have these types of rules.

Struggling: For students who need additional support, keep patterns, especially number patterns, less complex in nature. Patterns with additive increases in terms and shape patterns are easier to work with than number patterns with multiplicative increases in terms.