Lesson 2

Explore Big Numbers with Base-Ten Hoppers

Est. Class Sessions: 2–3
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Mathematical Standards

5.NBT.A
Understand the place value system. (5.NBT.A.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.
MP7.
Look for and make use of structure.

Students develop flexibility with composing and decomposing numbers based on place value concepts. They represent large numbers using number lines and number sentences. Using the context of world population, students solve problems using big numbers.

Content in this Lesson

  • Composing and decomposing numbers using hundred thousands, millions, ten millions, hundred millions and a billion.
  • Comparing and ordering large numbers [E2].
  • Showing different partitions of large numbers using number lines and number sentences (e.g., 10,705 = 10,000 + 700 + 5) [E4].
  • Recognizing that different partitions of a number have the same total.
  • Finding the value of unknowns to make number sentences true.
  • Determining the unknown in an equation involving multiple addends [E6].
  • Applying order of operations to solve multistep problems involving large numbers.
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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 Student Pairs

  • calculators

Materials for the Teacher

Materials Preparation

Look up the population of your town for use with the Challenge Problem in the Your Town in Relation to the World Master in the Teacher Guide.

Assessment in this Lesson

Assessment Expectation Assessed Math Practices Expectation Assessed

Explore Big Numbers with Base-Ten Hoppers
Check-In Questions 10–13
Student Guide
Page 135
with corresponding Feedback Box
Student Activity Book
Page 126
E2.
Compare and order large numbers.
E4.
Show different partitions of large numbers using a place value chart, number lines,
and number sentences
(e.g., 10,705 = 10,000 + 700 + 5; 40,879 = 4 × 10,000 + 8 × 100 + 7 × 10 + 9).
E6.
Determine the unknown in an equation involving multiple addends.
  

Place 1 Million
with Feedback Box
Teacher Guide - digital
E2.
Compare and order large numbers.
MPE2.
Find a strategy. I choose good tools and an efficient strategy for solving the problem.
MPE3.
Check for reasonableness. I look back at my solution to see if my answer makes sense. If it does not, I try again.
MPE5.
Show my work. I show or tell how I arrived at my answer so someone else can understand my thinking.

Vocabulary in this Lesson