Thousandths on Diagrams and in Words
10 min
Narrative
The purpose of this Estimation Exploration is for students to recognize the structure of the hundredths grid. Students have used this grid in this course and earlier courses. Without the hundredths grid, it is difficult to estimate the shaded region. This grid helps students to see tenths, hundredths, and with some extra work, even thousandths.
When students reflect about how the hundredths grid could help refine their estimate, they observe the value and power of its structure (MP7).
Launch
- Groups of 2
- Display the image.
- “What is an estimate that’s too high? Too low? About right?”
- 1 minute: quiet think time
Teacher Instructions
- “Discuss your thinking with your partner.”
- 1 minute: partner discussion
- Record responses.
Student Task
How much of the square is shaded?
Record an estimate that is:
| too low | about right | too high |
|---|---|---|
Sample Response
Sample responses:
- Too low: 0.50 to 0.60 (or equivalent)
- About right: 0.65 to 0.80 (or equivalent)
- Too high: 0.85 to 1.00 (or equivalent)
Activity Synthesis (Teacher Notes)
- “Why is estimating the shaded region more difficult without the grid lines of a hundredths grid?” (The grid lines show me the tenths and hundredths. Without grid lines, I can only guess or estimate.)
Standards
- 5.NBT.A·Understand the place value system.
- 5.NBT.A·Understand the place value system.
20 min
15 min
Knowledge Components
All skills for this lesson
No KCs tagged for this lesson
Thousandths on Diagrams and in Words
10 min
Narrative
The purpose of this Estimation Exploration is for students to recognize the structure of the hundredths grid. Students have used this grid in this course and earlier courses. Without the hundredths grid, it is difficult to estimate the shaded region. This grid helps students to see tenths, hundredths, and with some extra work, even thousandths.
When students reflect about how the hundredths grid could help refine their estimate, they observe the value and power of its structure (MP7).
Launch
- Groups of 2
- Display the image.
- “What is an estimate that’s too high? Too low? About right?”
- 1 minute: quiet think time
Teacher Instructions
- “Discuss your thinking with your partner.”
- 1 minute: partner discussion
- Record responses.
Student Task
How much of the square is shaded?
Record an estimate that is:
| too low | about right | too high |
|---|---|---|
Sample Response
Sample responses:
- Too low: 0.50 to 0.60 (or equivalent)
- About right: 0.65 to 0.80 (or equivalent)
- Too high: 0.85 to 1.00 (or equivalent)
Activity Synthesis (Teacher Notes)
- “Why is estimating the shaded region more difficult without the grid lines of a hundredths grid?” (The grid lines show me the tenths and hundredths. Without grid lines, I can only guess or estimate.)
Standards
- 5.NBT.A·Understand the place value system.
- 5.NBT.A·Understand the place value system.