Participation Prompt Week 4, Day 5 (Saturday)
Participation Prompt Week 4, Day 5 (Saturday)
In this learning activity, discuss with the other members of your group your experiences with rational expressions, equations, and functions.
Post a 150-word response to one of the discussion prompts by Day 5 in the discussion area below:
Prompt 1
View the following Week 4 video:
- Khan Academy: “Proportion Word Problem: Cookies“
Answer the following problem:
- Go outside on a sunny day near a tree and measure the length of your shadow. Then measure the length of the shadow cast by the tree. Without measuring the height of the tree, how tall is the tree?
- Explain the process you used to solve this problem. Hint: You will need to use your height to answer this question.
- What are other applications where proportions can help you solve for unknown information that might otherwise be hard to obtain?
Prompt 2
View the following Week 4 video:
- Khan Academy: “Rational Equations Word Problem: Combined Rates“
Answer the following problem:
- Think of a task that takes you a certain amount of time to complete (for example: mowing the yard, cleaning the house, etc.) Suppose your friend Sarah can complete the same task in half the time that you can. How long will it take you and Sarah to complete the task together. Note: You both have your own tools to complete the task.
- Explain the process you used to complete your calculations.
Prompt 3
View one of the following Week 4 videos:
- Khan Academy: “Simplifying Rational Expressions Introduction“
- Khan Academy: “Simplifying Rational Expressions 1“
- Patrick Just Math Tutorials: “Rational Expressions: Writing in Lowest Terms“
- Khan Academy: “Adding and Subtracting Rational Expressions – Unlike Denominators“
Answer the following question:
- How do you find the sum or difference of rational expressions with different denominators?
- Explain the process you use and include an example with your explanation.
Prompt 4
View one the following Week 4 videos:
- Khan Academy: “Multiplying and Dividing Rational Expressions 1“
- Khan Academy: “Multiplying and Dividing Rational Expressions 2“
- Khan Academy: “Multiplying and Dividing Rational Expressions 3“
- Patrick Just Math Tutorials: “Rational Expressions: Multiplying and Dividing“
Answer the following questions:
- How does multiplication and division of rational expressions compare to multiplication and division of fractions?
- How do they differ? Provide examples in your explanation.
Note: All Khan Academy content is available for free at www.khanacademy.org.