Lesson 1

Place Value Patterns

Lesson Purpose

The purpose of this lesson is for students 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

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)

Print Formatted Materials

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Additional Resources

Google Slides

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PowerPoint Slides

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