Lesson 1
Place Value Patterns
Lesson Purpose
The purpose of this lesson is for students to observe place value patterns when multiplying and dividing.
Lesson Narrative
In previous grades, students recognized that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. In the previous unit, students saw that this same pattern continues to the right of the decimal. In this lesson, students apply what they know about multiplication, division, and place value to express that each digit in a decimal represents ten times as much as it represents in the place to its right and one tenth as much as it represents in the place to its left (MP7).
- Representation
Learning Goals
Teacher Facing
- Observe place value patterns when multiplying and dividing.
Student Facing
- Let's observe place value patterns.
Required Materials
Materials to Gather
Required Preparation
CCSS Standards
Addressing
Lesson Timeline
| Warm-up | 10 min |
| Activity 1 | 20 min |
| Activity 2 | 15 min |
| Lesson Synthesis | 10 min |
| Cool-down | 10 min |
Teacher Reflection Questions
Describe the relationships between place value, multiplication, and division that your students made sense of today.
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)