Analyzing Patterns

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By the end of this lesson, your students will understand how analyzing patterns and learning the accompanying rules can assist them in solving math problems. The lesson provides examples of patterns using both numerical operations and shapes.  Additionally, the lesson discusses the vocabulary word input as the starting number, and the word output as the number found once the pattern rule is applied. Finally, the lesson covers writing the pattern rule as an algebraic equation. The lesson can be used with other related algebra lessons.

Analyzing Patterns Lesson Plan Includes:

• Full Teacher Guidelines with Creative Teaching Ideas
• Instructional Content Pages about Analyzing Patterns
• Hands-on homework activities giving students practice on Analyzing Patterns
• Common Core State Standards

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Description

By the end of this lesson, your students will understand how analyzing patterns and learning the accompanying rules can assist them in solving math problems. The lesson provides examples of patterns using both numerical operations and shapes.  Additionally, the lesson discusses the vocabulary word input as the starting number, and the word output as the number found once the pattern rule is applied. Finally, the lesson covers writing the pattern rule as an algebraic equation. The lesson can be used with other related algebra lessons.

Classroom Procedure:

1. Begin by explaining to students that patterns exist all around us. Patterns in nature such as a sun flower, patterns in behavior such as everyone lining up to walk down the hall.  Math has lots of patterns too!
2. While reading the content pages, reinforce basic operations and give students additional examples of pattern problems in order to help them practice finding the pattern.  Use the additional resources to enhance understanding.
3. Introduce the notes on analyzing patterns. Have students practice problems where they find the missing terms as well as writing rules.  Use the additional resources to enhance understanding.
4. Have students practice problems as well as create their own.
5. Follow Activity page with students. Begin by helping students model a hexagon with their toothpicks.  Work as a class to fill in the first two columns of the chart.  Have students work individually or in pairs to complete the activity.
6. Distribute Practice page. Check and review the students’ responses as a class.
7. Distribute the Homework page. Have students work a few problems at the beginning of the next class to reinforce the algorithm.
8. In closing, ask students what patterns they have noticed in the world around them.
9. Allow for responses and discussion.

Common Core State Standards:

CCSS.Math.Content.4.OA.C.5,            CCSS.Math.Content.5.OA.B.3