Lesson 5

Problems of Scale

Est. Class Sessions: 1–2
X

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.MD.A
Convert like measurement units within a given measurement system. (5.MD.A.1)

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.

Students use ratios to convert between different-sized standard measurement units and to solve problems involving measurement.

Content in this Lesson

  • Finding equivalent ratios using tables and multiplication and division strategies [E3].
  • Using ratios to solve word problems [E4].
  • Converting among different-sized standard measurement units [E6].
  • Finding strategies to solve word problems [MPE2].
  • Communicating problem-solving strategies orally and in writing [MPE5].
  • Using labels to show what numbers mean [MPE6].

Daily Practice and Problems U–V

U. Quiz: Square Numbers

V. Scale Models

X

Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

 Student Guide
Student Activity Book

Teacher Resources

 Teacher Guide - digital

Materials for the Teacher

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed

Problems of Scale
Check-In: Questions 2–5
Student Guide
Page 237
with corresponding
Feedback Box
Teacher Guide - digital
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.
E6.
Convert among different-sized standard measurement units within a given measurement system (e.g., seconds to hours and feet to yards).
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.

DPP Item U
Quiz: Square Numbers
E10.
Demonstrate fluency with the multiplication and division facts for the square numbers.

Vocabulary in this Lesson