More Multiples
10 min
Narrative
The purpose of an Estimation Exploration is to practice the skill of estimating a reasonable answer based on experience and known information. It gives students a low-stakes opportunity to share a mathematical claim and the thinking behind it. For example, students may reason that there are 10 chairs at each table and then make an estimate for the number of tables (MP3). Asking yourself “Does this make sense?” is a component of making sense of problems, and making an estimate or a range of reasonable answers with incomplete information is a part of modeling with mathematics (MP4).
This is the first time students experience the Estimation Exploration routine in IM Grade 4. Students are familiar with this routine from a previous grade, however, they may benefit from a brief review of the steps involved.
Launch
- Groups of 2
- Display the image.
Teacher Instructions
- “What is an estimate that’s too high? Too low? About right?”
- 1 minute: quiet think time
- 1 minute: partner discussion
- Record responses.
Student Task
About how many chairs are in this room?
Record an estimate that is:
| too low | about right | too high |
|---|---|---|
Sample Response
- Too low: 200
- Too high: 500
- About right: 300–400
Activity Synthesis (Teacher Notes)
- “What part of the picture did you use to make your estimate?” (The number of seats at one table. The number of rows and tables in each row.)
- “Which estimates would have been unreasonable?” (353, 22, or 198, and other numbers not ending in a zero. Because there are ten chairs at a table, the total number has to be a multiple of 10 and end in a 0.)
Standards
- 4.OA.4·Find all factor pairs for a whole number in the range 1—100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1—100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1—100 is prime or composite.
- 4.OA.B.4·Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.
20 min
15 min
Knowledge Components
All skills for this lesson
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More Multiples
10 min
Narrative
The purpose of an Estimation Exploration is to practice the skill of estimating a reasonable answer based on experience and known information. It gives students a low-stakes opportunity to share a mathematical claim and the thinking behind it. For example, students may reason that there are 10 chairs at each table and then make an estimate for the number of tables (MP3). Asking yourself “Does this make sense?” is a component of making sense of problems, and making an estimate or a range of reasonable answers with incomplete information is a part of modeling with mathematics (MP4).
This is the first time students experience the Estimation Exploration routine in IM Grade 4. Students are familiar with this routine from a previous grade, however, they may benefit from a brief review of the steps involved.
Launch
- Groups of 2
- Display the image.
Teacher Instructions
- “What is an estimate that’s too high? Too low? About right?”
- 1 minute: quiet think time
- 1 minute: partner discussion
- Record responses.
Student Task
About how many chairs are in this room?
Record an estimate that is:
| too low | about right | too high |
|---|---|---|
Sample Response
- Too low: 200
- Too high: 500
- About right: 300–400
Activity Synthesis (Teacher Notes)
- “What part of the picture did you use to make your estimate?” (The number of seats at one table. The number of rows and tables in each row.)
- “Which estimates would have been unreasonable?” (353, 22, or 198, and other numbers not ending in a zero. Because there are ten chairs at a table, the total number has to be a multiple of 10 and end in a 0.)
Standards
- 4.OA.4·Find all factor pairs for a whole number in the range 1—100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1—100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1—100 is prime or composite.
- 4.OA.B.4·Find all factor pairs for a whole number in the range 1–100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1–100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1–100 is prime or composite.