Lesson 1

Measure with Nonstandard Units

Est. Class Sessions: 2–3
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Mathematical Standards

2.NBT.A
Understand place value. (2.NBT.A.4)
2.MD.A
Measure and estimate lengths in standard units. (2.MD.A.1, 2.MD.A.2, 2.MD.A.3)

Standards for Mathematical Practice

MP1.
Make sense of problems and persevere in solving them.
MP2.
Reason quantitatively.
MP3.
Construct viable arguments and critique the reasoning of others.
MP4.
Model with mathematics.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.
MP7.
Look for and make use of structure.

Students practice measuring the length of objects using the nonstandard units of palms and footprints. Students compare measurements to examine the relationship between the size of a unit and the number of units in a measurement. They practice using good measurement techniques.

Content in this Lesson

  • Using words and symbols (e.g., <, >, =) to show comparisons of quantities [E1].
  • Using and applying place value concepts and comparative language to compare and order lengths (e.g. shorter, longer, shortest, longest) [E2].
  • Solving word problems (e.g., compare) involving length [E3].
  • Recognizing that the measure of a length is dependent on the size of the unit of measure [E4].
  • Estimating length using nonstandard (palms and footprints) units [E5].
  • Measuring length using nonstandard (palms and footprints) units [E6].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Book

Student Activity Book

Teacher Resources

Teacher Guide - digital

Supplies for Students

drawing paper
scissors
ruler
tape

Supplies for Student Groups

2 prepared Apatosaurus footprints from chart paper. See Materials Preparation.

Materials for the Teacher

Display of Measure with Palms (Student Activity Book) Page 173
Display of Measure with Footprints (Student Activity Book) Page 175
Display of Sam's Measurements (Student Activity Book) Page 177
Unit 4 Assessment Record
Math Facts Class Record
Actual Size by Steve Jenkins
masking tape
drawing paper
ruler
chart paper
small self-adhesive notes
large paper shopping bags, optional
sidewalk chalk, string, or adding machine tape, optional

Materials Preparation

Triangle Flash Cards. Prepare copies of the Triangle Flash Cards on heavier paper or card stock. Have students cut apart each set and store them in an envelope. Provide each student with two sets, one to use at school and one to take home. Students will need these cards on an ongoing basis.

Prepare Your Palm Units. Place your hand on a sheet of paper with your fingers closed and your thumb out. Trace and cut out your palm unit. Repeat this process so you have two palm units. Label your palm tracings with your name and a line showing the direction to measure a palm. See Figure 1.

image

Figure 1: Tracing of a palm

Find Distance Equal to Your Palm Unit. Use your unit palm to find two or three distances that are equal to your unit palm.

Review List of Distances. Look at the list of distances described in Question 1 on the Measure with Palms pages in the Student Activity Book. Students need to measure the same distances. Most can be measured from their seats. Choose an additional distance that makes sense in your classroom. Use masking tape to identify the beginning and end of a distance, if needed.

Collect Toy Animals. To prepare for Lesson 2, distribute copies of the Calling All Animals Homework Master that asks students to bring in two toy animals (one larger than 11 inches and one shorter than 11 inches). To support demonstrations or discussion, you may also want to supplement the collection with a few additional toys.

Prepare Gloria the Gorilla's Palms. Copy palms for student individuals or student pairs. You may decide to have the palms prepared before the lesson, or have students cut out their own palms.

Prepare Apatosaurus Footprints. Measure and cut out rectangles from large sheets of paper that are about 97 centimeters by 81 centimeters for each group of students. Each group will need two footprints. See Figure 2.

TIMS Tip

Cut open and tape together large paper grocery bags for the Apatosaurus footprints.

image

Figure 2: Apatosaurus footprint

Create Tape Lines on the Floor. Identify a location to place six lines of different lengths. Each line should be straight and there should be space between the lines so that students can work. Use masking tape to make each line and identify each with a letter. See Figure 3. Line F should be 6 meters but should be organized into a zigzag shape with three 2-meter sections. See Figure 4. These lines will be used for Lesson 3 as well.

TIMS Tip

Tape can be left for a few days, is durable, and does not move. If you cannot leave the tape lines on the floor for a few days, you may want to try some of these alternatives: chalk, string, or strips of adding machine tape.

image
                      Figure 3: Descriptions of tape lines                                       Figure 4: Line F is zigzagged

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed
Measure with Footprints
Student Activity Book
Pages 175–176
E6. 
Measure length using nonstandard (palms, footprints) and standard (centimeters, meters, inches, feet, yards) units.
Sam's Measurement
with Feedback Box
Student Activity Book
Pages 177–180
E1. 
Use words and symbols (e.g., <, >, =) to show comparisons of quantities (e.g., lengths).
E2. 
Use and apply place value concepts and comparative language to compare and order lengths (e.g., shorter, longer, shortest, longest).
E3. 
Solve word problems (e.g., compare) involving length.
E4. 
Recognize that the measure of a length is dependent on the size of the unit of measure (e.g., a pencil is 6 inches or 15 centimeters).
E5. 
Estimate length using nonstandard (palms, footprints) and standard (centimeters, meters, inches, feet, yards) units.
MPE5. 
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.
MPE6. 
Use labels. I use labels to show what numbers mean.
DPP Item A
Triangle Flash Cards: Group E Addition Facts
Teacher Guide - digital
E11. 
Use math fact strategies to add (direct modeling, counting strategies, reasoning from known facts) for the facts in Group E (5 + 7, 8 + 4, 8 + 5, 9 + 3, 9 + 4, 9 + 5, 10 + 1, 10 + 2, 10 + 3).
DPP Item C
Carrying Coins
Teacher Guide - digital
E12. 
Determine the unknown number in an addition or subtraction sentence relating three whole numbers for the facts in Group E.
DPP Item D
Math Facts: Group E
Teacher Guide - digital
E11. 
Use math fact strategies to add (direct modeling, counting strategies, reasoning from known facts) for the facts in Group E (5 + 7, 8 + 4, 8 + 5, 9 + 3, 9 + 4, 9 + 5, 10 + 1, 10 + 2, 10 + 3).
E12. 
Determine the unknown number in an addition or subtraction sentence relating three whole numbers for the facts in Group E.