Algebra Question

Complete the Questions

Ensure you have thoroughly reviewed the module before starting the assignment. Carefully read and answer each question using the knowledge you have gained from this module. Ensure your answers are thorough, but do not exceed the word limit, and demonstrate a clear understanding of the module’s content. Use the vocabulary attached in the glossary and ensure that all responses meet the rubric guidelines.

Scoring Requirement

To successfully master this assignment, you need to achieve a score of 80% or higher. Your performance will be evaluated based on the accuracy and completeness of your answers.

Question 1:

A student wrote the following definition of a variable:

A variable is a letter that can represent any number.

In 450 words or less:

• Explain what is incomplete or misleading about this definition.
• How would you improve or expand it to better capture the concept of a variable?
• Provide one strategy you could use to help the student develop a more accurate definition.

Question 2:

You give your students this task:

A dog-walking business charges $12.50 for each dog walked and has daily expenses of $25.

(a) What is an expression that could represent the companys daily profit?

(b) Evaluate the expression when d = 4.

A student responded:

(a) Let d = dogs. So the profit is (12.5 + 25) d because it is 12.5 for each dog, and there is a daily expense of 25.

(b) If d = 4 then (12.5 + 25) 4. So the profit is $150.

In 450 words or less, answer the following questions:

• What do you notice about the students understanding of variables and expressions based on this response?
• What misconceptions might they have?
• How would you address these misconceptions with this student?

Question 3:

Consider the following example of student work.

Simplify the expression: 7y + 6 3y + 5

Student Work:

7y + 6 3y + 5

4y + 6 + 5

4y + 11

15y

In 300 words or less, answer the following questions:

• What do you notice about the students reasoning and answer?
• What instructional strategy or activity would you use to support this students understanding of combining like terms?

Question 4:

In 450 words or less, answer the following questions:

• In your daily practice, where do variables and expressionsor foundational concepts related to themmost often appear?
• What is one common challenge students encounter when working with variables and expressions?
• What strategies have you used or could you use to address the common challenge described in the previous question?

Rubric for Short-Answer Problems

Your instructor will use the following rubric to evaluate your short-answer responses. Be sure to review your work against the rubric before submitting your assignment.