Week 1 Discussion: Algebra Foundations

Week 1 Discussion: Algebra Foundations

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Required Resources

Read/review the following resources for this activity:

  • OpenStax Textbook Readings
  • Lesson in Canvas
  • Assignments in Knewton
    • Unit Conversions in the US System
    • Unit Conversions in the Metric System
    • Unit Conversion Between Systems
    • Rewrite English Phrases into Algebraic Expressions
    • Algebraic Expressions and Applications with Integers
    • Solve Equations with the Subtraction and Addition Properties of Equality
    • Solve Equations with the Division and Multiplication Properties of Equality
    • Distance, Rate, and Time and Literal Equations

Initial Post Instructions

As we jump into the world of Algebra, it is important to discuss how math, specifically Algebra, is used in the real-world.

Search for videos from Ted Ed showing the real-world value of mathematics. Choose a video to watch and then provide a one-paragraph summary (3-4 sentences) of the video in your own words. Be sure to discuss the math concept used.

Follow-Up Post Instructions

Respond to at least two peers in a substantive, content-specific way. Further the dialogue by providing more information and clarification.

Writing Requirements

  • Minimum of 3 posts (1 initial & 2 follow-up) with first post by Wednesday
  • APA format for in-text citations and list of references

Grading

This activity will be graded using the Discussion Grading Rubric. Please review the following link:

Part two

Use Integers in Applications

Use Integers in Applications

We’ll outline a plan to solve applications. It’s hard to find something if we don’t know what we’re looking for or what to call it! So when we solve an application, we first need to determine what the problem is asking us to find. Then we’ll write a phrase that gives the information to find it. We’ll translate the phrase into an expression and then simplify the expression to get the answer. Finally, we summarize the answer in a sentence to make sure it makes sense.

Example 1: How to Apply a Strategy to Solve Applications with Integers
Question:

The temperature in Urbana, Illinois, one morning was 11 degrees. By mid-afternoon, the temperature had dropped to 9 degrees. What was the difference of the morning and afternoon temperatures?

Solution:

Step 1. Read the problem. Make sure all the words and ideas are understood.

Step 2. Identify what we are asked to find.

the difference of the morning and afternoon temperatures

Step 3. Write a phrase that gives the information to find it.

the difference of 11 and 9

Step 4. Translate the phrase to an expression.

11(9)

Step 5. Simplify the expression.

20

Step 6. Write a complete sentence that answers the question.

The difference in temperatures was 20 degrees.

How To

Apply a Strategy to Solve Applications with Integers

  1. Read the problem. Make sure all the words and ideas are understood.
  2. Identify what we are asked to find.
  3. Write a phrase that gives the information to find it.
  4. Translate the phrase to an expression.
  5. Simplify the expression.

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