Lesson 4

Distance vs. Time

Est. Class Sessions: 4
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Mathematical Standards

5.NF.A
Use equivalent fractions as a strategy to add and subtract fractions. (5.NF.A.1)
5.NF.B
Apply and extend previous understandings of multiplication and division. (5.NF.B.5)
5.G.A
Graph points on the coordinate plane to solve real-world and mathematical problems. (5.G.A.2)
5.OA.B
Analyze patterns and relationships. (5.OA.B.3)
5.MD.A
Convert like measurement units within a given measurement system. (5.MD.A.1)
5.MD.B
Represent and interpret data. (5.MD.B.2)

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.

Using the TIMS Laboratory Method, students investigate the walking speed of a classmate. They review measuring length, plotting points, and drawing best-fit lines. They use the lines to find equivalent ratios and write the ratios as fractions. Students then use the ratios to solve problems.

Content in this Lesson

  • Representing the variables in an investigation in a drawing.
  • Using graphs to find equivalent ratios [E3].
  • Describing how a change in one variable in an investigation relates to a change in a second variable [E9].
  • Using numerical variables.
  • Measuring length in yards and feet [E5].
  • Averaging: finding the median.
  • Making a point graph [E7].
  • Drawing a best-fit line [E7].
  • Using ratios to solve problems [E4].
  • Making predictions and generalizations using data tables and graphs [E8].
  • Translating between graphs and real-world events.
  • Converting among different-sized standard measurement units within a given measurement system (e.g., seconds to hours, yards to feet) [E6].
  • Finding a strategy for a problem and communicating how it was used to solve the problem [MPE1, 2, 5, 6].
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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 Students

  • rulers
  • calculators

Supplies for Student Groups

  • three stopwatches
  • one or two metersticks with inches or yardsticks
  • chalk or tape

Supplies for Student Pairs

  • chart paper or drawing paper

Materials for the Teacher

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed

Distance vs. Time
Questions 6–18
Student Guide
Pages 232–233
with Feedback Box
Student Activity Book
Page 212
E3.
Find equivalent fractions and ratios using tools (e.g., area models, number lines, tables, graphs) and multiplication and division strategies.
E4.
Use ratios to solve problems.
E5.
Measure length in inches and yards.
E6.
Convert among different-sized standard measurement units within a given measurement system (e.g., seconds to hours and feet to yards).
E7.
Make a point graph and draw a best-fit line.
E8.
Make predictions and generalizations using tables and graphs.
E9.
Describe how the change in one variable in an investigation relates to a change in a second variable.
MPE1.
Know the problem. I read the problem carefully. I know the questions to answer and what information is important.
MPE2.
Find a strategy. I choose good tools and an efficient strategy for solving the problem.
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.

Peer Assessment
Distance vs. Time
Check-In: Question 16
Student Guide
Page 233
with Feedback Box
Teacher Guide - digital
MPE1.
Know the problem. I read the problem carefully. I know the questions to answer and what information is important.
MPE2.
Find a strategy. I choose good tools and an efficient strategy for solving the problem.
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.

Vocabulary in this Lesson