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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"

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter4: Rational Expressions
Section4.7: More Fractional Equations And Applications
Problem 58PS
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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.

  1. A Put Together/Take Apart, Addend Unknow problem.
  2. 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)
Transcribed Image Text:### 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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