Lesson 2
Powers of 10
Lesson Purpose
The purpose of this lesson is for students to recognize exponential
notation for powers of 10 and use exponential notation to represent large numbers.
Lesson Narrative
In the previous lesson, students multiplied and divided numbers by 10 or
100 and noticed place value patterns and relationships. This lesson continues to look at
patterns when several factors of 10 are multiplied together. It also introduces a convenient
strategy for recording these numbers, exponential notation for positive powers of 10. Students
represent numbers up to 1,000,000,000 and apply their understanding of multiplication by 10 and
its powers to see why exponential notation is a convenient way to represent certain large
numbers. This lesson includes an optional activity that allows students to explore the number 1
trillion.
- Engagement
- MLR2
Activity 1: Population of Delaware and India
Learning Goals
Teacher Facing
-
Use whole-number exponents to denote powers of 10.
Student Facing
- Let’s use exponents to show powers of 10.
Required Preparation
Lesson Timeline
Warm-up | 10 min |
Activity 1 | 20 min |
Activity 2 | 15 min |
Activity 3 | 10 min |
Lesson Synthesis | 10 min |
Cool-down | 5 min |
Teacher Reflection Questions
What unfinished learning or misunderstandings do you have about powers of
10 and exponential notation? How can you leverage those partial understandings in a positive way
to further the understanding of the class?
Suggested Centers
- Number Puzzles: Multiplication and Division (4–5), Stage 2: Multi-digit Factors (Supporting)
- Five in a Row: Multiplication (3–5), Stage 3: Two-digit Factors (Supporting)