Lesson 2

Perimeter vs. Length Lab

Est. Class Sessions: 4
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Mathematics Standards

4.MD.A
Solve problems involving measurements and conversion of measurements. (4.MD.A.3)

Standards for Mathematical Practice

MP1.
Make sense of problems and persevere in solving them.
MP2.
Reason abstractly and quantitatively.
MP4.
Model with mathematics.
MP5.
Use appropriate tools strategically.
MP7.
Look for and make use of structure.
MP8.
Look for and express regularity in repeated reasoning.

Students apply the TIMS Laboratory Method to analyze the relationship between side length and perimeter for rectangles. They generalize these ideas and communicate how to find perimeters of rectangles using pictures, symbols, or words. The context for the lesson is the design of an airport for Antopolis.

Content in this Lesson

  • Finding the perimeter of rectangles and irregular shapes by counting units and adding [E6].
  • Representing the variables and procedures of an investigation in a drawing.
  • Making a point graph [E1].
  • Drawing a best-fit line.
  • Reading a table or point graph to find information about a data set [E2].
  • Describing and comparing more than one data set represented on one graph.
  • Modeling real-world situations with tables and point graphs.
  • Translating between graphs, tables, and real-world situations [E3].
  • Recognizing and generalizing geometric relationships of side length and the perimeter of a rectangle [E4].
  • Finding the area of rectangles and irregular shapes by counting [E7].
  • Making shapes (polygons) with given measurements (width, perimeter, or area) [E5].
  • Knowing and understanding the important information in a problem [MPE1].
  • Choosing strategies for solving problems involving data represented in graphs, tables, and with models [MPE2].
  • Showing a solution for a problem involving representations of data [MPE5].
  • Demonstrating fluency with the subtraction facts using the counting-up strategy [E8].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

 Student Guide  
Student Activity Book      

Teacher Resources

 Teacher Guide - digital

Supplies for Student Groups

60 square-inch tiles
rulers

Materials for the Teacher

Display of Exploring Perimeter vs. Length Lab data table (Student Activity Book) Page 20
Display of Centimeter Graph Paper Master (Teacher Guide) Page or poster-size graph paper
Math Practices page (Student Guide) Reference
Display of several student work samples of Question 14 in the Student Guide
Display of the Math Practices 1 and 5 Feedback Box Master (Teacher Guide), optional
Unit 2 Assessment Record
Math Facts Class Record

Materials Preparation

Student Work Samples. Choose and copy a few student work samples of Question 14 in the Student Guide. Place copied work in the blank space on the Math Practices 1 and 5 Feedback Box page for display.

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed
Perimeter vs. Length Lab
Student Guide
Pages 54–58 with corresponding
Feedback Box
Teacher Guide - digital
E1.
Make a point graph.
E2.
Read a table or graph to find information about a data set.
E4.
Recognize and generalize geometric relationships in problems involving the area and perimeter of rectangles.
E6.
Find the perimeter of rectangles and irregular shapes by counting units and adding.
MPE1.
Know the problem. I read the problem carefully. I know the questions to answer and what information is important.
MPE5.
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.
Perimeter vs. Length Lab
Homework section
Check-In:
Questions 5–11
Student Guide
Page 60
E3.
Model real-world situations with tables and point graphs.
E4.
Recognize and generalize geometric relationships in problems involving the area and perimeter of rectangles.
  
DPP Item J Area and Perimeter
Teacher Guide - digital
E5.
Make shapes (polygons) with given measurements (width, perimeter, or area).
E6.
Find the perimeter of rectangles and irregular shapes by counting units and adding.
E7.
Find the area of rectangles and irregular shapes by counting, adding, or multiplying.
  
Home Practice
Part 3
Teacher Guide - digital
E5.
Make shapes (polygons) with given measurements (width, perimeter, or area).
E6.
Find the perimeter of rectangles and irregular shapes by counting units and adding.
E7.
Find the area of rectangles and irregular shapes by counting, adding, or multiplying.
  
DPP Item E Subtraction Facts Quiz: Count-Ups
Teacher Guide - digital
E8.
Demonstrate fluency with the subtraction facts.