Illuminations: Going Places

Going Places


Learning to Measure with Ladybug

The mathematical foci of this lesson are geometric concepts, location, navigation, direction, and spatial relationships and measurement concepts, using nonstandard units to measure a distance, and the iteration of units, measurement by using the same unit of measure repeatedly to determine the total. Students practice measuring with multiple units and a single unit following the methods modeled by the teacher and those appropriate for their level of understanding.

Learning Objectives

 
Students will:
  • recognize and use the attributes of length
  • measure using nonstandard units
  • repeat a single unit to measure something longer than the unit

Materials

 
Crayons
Tape or stapler
Drawing paper
Ladybugs Resource Sheet

Instructional Plan

Make a transparency of the ladybugs found on the Ladybugs Resource Sheet. Cut the ladybugs apart and then demonstrate on the overhead how to use ladybugs as a tool for measuring. Use multiple ladybugs to measure the length and width across the overhead, showing that many copies are needed to cross the top, both to determine length and width.

 

 

When students demonstrate an understanding of the concept of using multiple copies of a unit to measure something longer than the unit, use only one ladybug and place it in positions to measure across the top of the overhead. This models iteration of the same unit to measure the distance that previously required many ladybugs. In the example below, the ladybug is the unit of measure, and the lines indicate the number of times it is repeated to cover the width.

 

 

Distrubte the Ladybugs Resource Sheet to students. While students remain in their seats, have them cut the Ladybug Measurers and tape them together to make a “ladybug ruler.” Then have students measure the distance across their workspace and create a ladybug ruler as long and/or as wide as their workspace. Some students may be ready to practice using only one ladybug to measure the distance.

Closely monitor the students during this activity to see which ones are ready to move from using multiple copies of the unit to using one copy. It is appropriate for most students to use a “connected” tape for measuring. However, be alert for students who use their finger to mark where the next unit should be placed. This indicates that they are ready to use a single unit for measuring. This is an early strategy students use for iteration.

Have students draw a picture of the number of ladybugs required to cross their workspace, and then record the number needed. Keep the recordings to discuss with students, to share with parents, to use on a bulletin board, or for future reference for instructional planning. This recording will help students prepare for the next lesson.

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Documenting student’s application of measurement concepts will allow you to make appropriate decisions about the next lesson(s) and grouping strategies.

A related lesson, Ladybug Lengths, is found in the unit Magnificent Measurement. In this lesson, students experience how ladybugs measure by reading the book Ladybug on the Move by Richard Fowler.

Questions for Students

 

Show me how you can measure across the width of your workspace using several ladybugs. How could you measure the same distance using only one ladybug?

What strategy did you use to know where to place the ladybug in the next space you needed to measure? (The purpose of this question is for you to understand which students understand that the feet must be placed end-to-end in order to have a more accurate measurement.)

What was the difference between measuring the width and the length of your workspace?

What other objects could you use to measure the width and length of your workspace?

Assessment Options

 
  1. You may choose to use the Class Notes recording sheet to document student progress in this unit.

Teacher Reflection

 
  • Was the modeling on the overhead an effective strategy for helping students understand how to measure with multiple units? To measure with a single unit? What would improve this modeling experience?
  • Which students demonstrated some understanding of the meaning of measurement? Which did not?
  • What learning opportunities will you provide for students who need many more experiences? What enrichment activities will extend the knowledge and skill of those students who demonstrate a level of understanding appropriate for students of this age?
  • How will I use the assessment data collected during this lesson to plan for instruction and report progress to students and parents?
  • What adjustments will I make in this lesson the next time you teach it?

NCTM Standards and Expectations

 
Geometry Pre-K-2
  1. Describe, name, and interpret relative positions in space and apply ideas about relative position.
  2. Relate ideas in geometry to ideas in number and measurement.
Measurement Pre-K-2
  1. Understand how to measure using nonstandard and standard units.
  2. Recognize the attributes of length, volume, weight, area, and time.
  3. Use repetition of a single unit to measure something larger than the unit, for instance, measuring the length of a room with a single meterstick.
This lesson prepared by Carol Midgett.
  
1 period   

NCTM Resources

Principles and Standards for School Mathematics


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