Lesson 3

Doubles

Est. Class Sessions: 2–3
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Mathematical Standards

4.NBT.A
Generalize place value understanding for multi-digit numbers. (4.NBT.A.2)
4.OA.C
Generate and analyze patterns. (4.OA.C.5)

Standards for Mathematical Practice

MP2.
Reason quantitatively.
MP3.
Construct viable arguments and critique the reasoning of others.
MP7.
Look for and make sense of structure.

An old folk tale serves as a context for investigating the patterns that are made when numbers are doubled again and again. Students keep track of the doubling in a data table as they color in square millimeters on a grid that provides a visual representation of 1,000,000. They explore and analyze these data patterns to make predictions and form generalizations.

Content in this Lesson

  • Reading and writing large numbers [E1].
  • Using patterns in data tables to solve problems and make predictions [E5].
  • Using diagrams to solve problems.
  • Developing number sense for large numbers [E2].
  • Using exponents.
  • Making a choice or argument based on data.
  • Modeling relationships with graphs, tables, and symbols.
  • Reasoning from patterns.
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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

calculator

Materials for the Teacher

Display of Doubling Data Table (Student Activity Book) Page 191, optional
50 copies of Two 10,000 sq mm Grids Master (Teacher Guide) Page 104
Display of Chessboard Master (Teacher Guide) Page 106
Display of Centimeter Graph Paper Master (Teacher Guide) Page 105
Display of John's Problem (Teacher Guide) Page 107
Display of the Math Practices page (Student Guide) Reference
Unit 6 Assessment Record
2 large sheets of chart paper
metersticks
several sharpened colored pencils
several crayons

Materials Preparation

Data Table. Make a data table for class discussion that matches the Doubling Data Table page in the Student Activity Book. Use chart paper or other display.

10,000 sq mm Grids. Make 50 copies of the Two 10,000 sq mm Grids Master to produce one hundred 10,000 square millimeter grids. Mark a square meter on a large piece of paper and glue one 10,000 sq mm grid in the upper left-hand corner as shown in Figure 1. Hang this paper in a place that is convenient for students to reach.

Figure 1: Square meter grid with one 10,000 sq mm grid glued on

Assessment in this Lesson

Assessment Expectation Assessed Math Practice Assessed

John's Problem
with Feedback Box
Teacher Guide - digital
E5.
Use patterns to make predictions and generalizations.
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.

Home Practice Part 4
Teacher Guide - digital
E1.
Read and write large numbers (to the millions).
E2.
Compare and order large numbers (to the millions).