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The Age Problem

The Age Problem. A Learner-Centered Learning Environment (LCLE) Module in Elementary Algebra Prepared by Mr. Roy S. Daz. Name: _______________________ Section: _____ School-Year:_____. 1 2 3 4 5 6 7 8 9 10 11 12 13 14. The Age Problem.

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The Age Problem

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  1. The Age Problem A Learner-Centered Learning Environment (LCLE) Module in Elementary Algebra Prepared by Mr. Roy S. Daz Name: _______________________ Section: _____ School-Year:_____ 1 234567891011121314

  2. The Age Problem Dave and Mark are cousins enrolled in La Salle Green Hills - Adult Night High School. One of their fellow students is asking the two how old they are. Dave, wanting to challenge the student, answered “Mark is twice as old as I am. The sum of our ages is 5 times my age, less 48.” Can you determine how old Dave and Mark are? How? 1 2 34567891011121314

  3. Worksheet #1: Mind Map Their ages cannot be determined. I am sure Mark is older than Dave though. Translate the verbal phrases and sentences into math expressions and equations and then solve for the unknown. I have another idea: ___________________________________________ . Think of two numbers and check whether they fit the given condition. How will you determine the ages of Dave and Mark? Put a check mark on your choice/s. Be ready to explain your choice/s. 12 3 4567891011121314

  4. Worksheet #2: Thinking About Your Choice 123 4 567891011121314

  5. The Lesson The hardest thing about doing word problems is taking the English words and translating them into mathematics. Usually, once you get the math equation, you're fine; the actual math involved is often fairly simple. But figuring out the actual equation can seem nearly impossible. Be advised, however: To really learn "how to do" word problems, you will need to practice, practice, practice. -purplemath.com Before we clarify our ideas, we need to learn first how to translate word phrases to algebraic expressions and vice-versa. To do that, visit any of the websites on the right of this slide. Algebra Lab Purple Math Ideal Math 1234 5 67891011121314

  6. Worksheet #3: Translating Words into Math When solving real-world problems, you may need to determine the action to know which operation to use. Now that you have learned how to translate word phrases into algebraic expressions, you are now ready to fill the following tables. Feel free to go back to the websites if you need to. Certain key words/phrases indicate certain mathematical operations. List down some of these. 12345 6 7891011121314

  7. Worksheet #4: Guided Practice DIRECTION. Write an algebraic expression for each word phrase. Compare your answers with your seatmates. 123456 7 891011121314

  8. Worksheet #5: Independent Practice DIRECTION. Write a word phrase/sentence for each algebraic expression/equation. 1234567 8 91011121314

  9. Worksheet #6: Enrichment Activity DIRECTION. Write an algebraic expression/equation for each word phrase/sentence. You can use any variable. 12345678 9 1011121314

  10. Worksheet #7: The Age Problem Using the equation you answered on the left, solve now for the ages of Dave and Mark. Going Back to the Age Problem at the beginning of this module, can you now express the following phrases/sentences into algebraic expressions/equations? You can use any variable. 123456789 10 11121314

  11. Worksheet #8: Quiz Now that we have done some guided and independent practices, it’s time for us to have a short quiz. Ready?! Take the QUIZ now! • How many items were you able to answer correctly? _____ • 2. Which item/s did you find difficult? Why? ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ • 3. What should you remember in order to answer this/these correctly next time? ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 12345678910 11 121314

  12. Worksheet #9: Reflective Log Use complete sentences in answering the following questions: 1234567891011 12 1314

  13. Final Output It is now time to create your own WORD PROBLEM. WHAT TO DO? YOU NEED….. Find a partner. Ask the age of your partner, and together, make accurate translations of your ages to algebraic expressions using only one variable. Scratch papers Ballpen Bond Paper …and a Partner In a bond paper, create a word sentence that will help your classmates solve for your ages (similar to The Age Problem). Also, show a step-by-step solution on how to determine your ages. We will grade your output using the RUBRIC on the next page. 123456789101112 13 14

  14. We will grade your output using the rubric below. The perfect score is ten (10) points. Rubric 12345678910111213 14

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