Lesson 4

Exponents and Large Numbers

Est. Class Sessions: 2
X

Mathematical Standards

5.NBT.A
Understand the place value system. (5.NBT.A.1, 5.NBT.A.2)

Standards for Mathematical Practice

MP2.
Reason quantitatively.
MP3.
Construct viable arguments and critique the reasoning of others.
MP4.
Model with mathematics.
MP6.
Attend to precision.
MP7.
Look for and make use of structure.

Students begin this lesson by reading the story “Sand Reckoning”, which tells the story of Archimedes' estimate for the number of grains of sand it would take to fill the universe. Students then review the use of exponents to represent numbers. They identify the patterns in the powers of ten and use these patterns to write numbers represented with exponents in standard form. Students explore patterns when multiplying by multiples of ten.

Content in this Lesson

  • Reading and writing large numbers (to the billions) [E1].
  • Representing numbers with exponents [E5].
  • Estimating products [E8].
  • Multiplying numbers that are multiples of ten represented as powers of ten [E7].
  • Developing number sense for large numbers.
  • Connecting mathematics and science to real-world events.
X

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

Assessment in this Lesson

Assessment Expectation Assessed

Exponents and Large Numbers
Check-In: Questions 7–11
Student Guide
Page 154
E1.
Read and write large numbers (to the billions).
E5.
Represent numbers with exponents.
E7.
Multiply numbers that are multiples of ten represented as powers of ten (e.g., 64,320 = 6 × 104 + 4 × 103 + 3 × 102 + 2 × 101 + 0; 300,000 = 3 × 105).

Multiply by Multiples of Tens
Check-In: Questions 3–4
Student Activity Book
Page 136
E1.
Read and write large numbers (to the billions).
E5.
Represent numbers with exponents.
E7.
Multiply numbers that are multiples of ten represented as powers of ten (e.g., 64,320 = 6 × 104 + 4 × 103 + 3 × 102 + 2 × 101 + 0; 300,000 = 3 × 105).

DPP Item R
Equations
Teacher Guide - digital
Page 28
E6.
Determine the unknown in an equation involving multiple addends.