Chairs Around The Table

Resources and Tools for Elementary Math Specialists and Teachers

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In this lesson from Illuminations, students explore and discover linear relationships. Linear patterns are identified, extended and described verbally, numerically and algebraically through three investigations. Using manipulatives and the linked applet, "Chairs", learners determine the number of chairs needed when the number of tables is known, and vice versa. Instructional plan, questions for the students, assessment options, extensions and teacher reflections are provided.

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(2 Comments)

Contributed by: Samuel E. Zordak - Author, National Council of Teachers of Mathematics - Publisher

This resource is included in the following PD Collection(s):
CCSS Practice Standard 8The resources in this collection are intended to help educators understand and implement the eighth Mathematical Practice Standard of the CCSS. You will find informative presentations, lesson plans, and problem sets that will help establish mathematical habits of mind that support this standard. You'll also find many problem tasks for use with students in the companion classroom collection.

Math TopicAlgebraic Thinking, Basic Operations, Number Sense, Number Concepts, Mathematical Practices, Mathematical Processes

Grade Level3, 4, 5

Resource TypeActivity, Interactive Media

Additional Information
- AudienceEducator
- LanguageEnglish (USA)
- Education Topic
- Interdisciplinary Connection
- Professional DevelopmentNo
- ContributorSamuel E. Zordak - Author, National Council of Teachers of Mathematics - Publisher
- Publication Date2011
- RightsCopyright (c) 2000 - 2011 National Council of Teachers of Mathematics
  http://illuminations.nctm.org/termsofuse.aspx
- AccessFree access
Standards
- Common Core State Standards for Mathematics
  Select a standards document:
- Standards for Mathematical Practice[K-12]
- Make sense of problems and persevere in solving them.[K-12]
- Reason abstractly and quantitatively.[K-12]
- Construct viable arguments and critique the reasoning of others.[K-12]
- Model with mathematics.[K-12]
- Look for and express regularity in repeated reasoning.[K-12]
- Operations and Algebraic Thinking[K - 5]
- Generate and analyze patterns.[4]
- 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, given 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 informally why the numbers will continue to alternate in this way.[4]
- Write and interpret numerical expressions.[5]
- 2. Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation "add 8 and 7, then multiply by 2" as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product.[5]
Related Resources
- Chairs
User Comments
- Average
  5
  
  A complete package
  By Uncle Bob on 06/21/2012 - 11:21
- An instructive investigation with a real application. I have seen several versions of seating pattern lessons, but this one has nice flexibility in the assesment and extension suggestions, and in the applets which work well.
- Average
  5
  
  I agree with Uncle Bob
  By Molly on 08/16/2012 - 09:57
- This lesson works very well in the classroom. Students were engaged and successful.

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Chairs Around The Table

Common Core State Standards for Mathematics