For each of the following types, write a problem of that type, draw a strip diagram or number bond (as appropriate) and formulate two equations for that problem, one using addition and one using subtraction.A Put Together/Take Apart, Addend Unknow problem.Two versions of a Compare, Difference Unknown problem; one formatted with “more” and one with “fewer” ### Mathematics Problem Types#### Instructions:For each of the following types, create a problem, illustrate it using a strip diagram or number bond as applicable, and write two equations: one using addition and one using subtraction.#### Problem Types:a. **Put Together/Take Apart, Addend Unknown Problem** - **Example:** If you have a total number of items and one part of that total, find the missing part. - **Diagram Needed:** Use a strip diagram or number bond to represent the total and the known part, highlighting the unknown addend. - **Equations:** - Addition (Total = Known + Unknown) - Subtraction (Unknown = Total - Known)b. **Compare, Difference Unknown Problem** - Create two versions: - **Version 1:** Using the concept of "more" - **Example:** Compare two amounts to find out how many more one has than the other. - **Diagram Needed:** Use a diagram to show the comparison between the two amounts. - **Equations:** - Addition (Larger Amount = Smaller Amount + Difference) - Subtraction (Difference = Larger Amount - Smaller Amount) - **Version 2:** Using the concept of "fewer" - **Example:** Compare two amounts to find out how many fewer one has than the other. - **Diagram Needed:** Illustrate the comparison focusing on how many fewer. - **Equations:** - Addition (Smaller Amount = Larger Amount - Difference) - Subtraction (Difference = Larger Amount - Smaller Amount)

2. For each of the following types, write a problem of that type, draw a strip diagram or number bond (as appropriate) and formulate two equations for that problem, one using addition and one using subtraction. a. A put Together/Take Apart, Addend Unknow problem. b. Two versions of a Compare, Difference Unknown problem; one formatted with "more" and one with "fewer"

2. For each of the following types, write a problem of that type, draw a strip diagram or number bond (as appropriate) and formulate two equations for that problem, one using addition and one using subtraction. a. A put Together/Take Apart, Addend Unknow problem. b. Two versions of a Compare, Difference Unknown problem; one formatted with "more" and one with "fewer"

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

For each of the following types, write a problem of that type, draw a strip diagram or number bond (as appropriate) and formulate two equations for that problem, one using addition and one using subtraction.

A Put Together/Take Apart, Addend Unknow problem.
Two versions of a Compare, Difference Unknown problem; one formatted with “more” and one with “fewer”

### Mathematics Problem Types

#### Instructions:

For each of the following types, create a problem, illustrate it using a strip diagram or number bond as applicable, and write two equations: one using addition and one using subtraction.

#### Problem Types:

a. **Put Together/Take Apart, Addend Unknown Problem**
- **Example:** If you have a total number of items and one part of that total, find the missing part.
- **Diagram Needed:** Use a strip diagram or number bond to represent the total and the known part, highlighting the unknown addend.
- **Equations:**
- Addition (Total = Known + Unknown)
- Subtraction (Unknown = Total - Known)

b. **Compare, Difference Unknown Problem**
- Create two versions:
- **Version 1:** Using the concept of "more"
- **Example:** Compare two amounts to find out how many more one has than the other.
- **Diagram Needed:** Use a diagram to show the comparison between the two amounts.
- **Equations:**
- Addition (Larger Amount = Smaller Amount + Difference)
- Subtraction (Difference = Larger Amount - Smaller Amount)
- **Version 2:** Using the concept of "fewer"
- **Example:** Compare two amounts to find out how many fewer one has than the other.
- **Diagram Needed:** Illustrate the comparison focusing on how many fewer.
- **Equations:**
- Addition (Smaller Amount = Larger Amount - Difference)
- Subtraction (Difference = Larger Amount - Smaller Amount)

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