Active Learning Project

 

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Understanding Equations

 

Required Resource-Read/review the following resources for this activity:

  • Textbook (Pre-Algebra): Chapter 2, 3, 4, 8
  • Minimum of 1 outside scholarly source (in addition to the textbook)

Instructions-Being successful in mathematics requires understanding as opposed to simple memorization. For example, the formula to find the perimeter of a rectangle is P = 2L + 2W (where L is length and W is width). Memorizing the formula could be helpful, but, if we understand that the perimeter is the distance around the rectangle, we are able to construct the formula and apply it to real-world situations correctly.

For the initial post, find another formula that you use in your daily life, and explain the meaning behind it.

For example, the formula to calculate sales tax on a purchase is sales tax = 0.0825x. The coefficient, 0.0825, is the current tax rate of 8.25%. The variable, x, is the amount of your purchase.

Writing Requirements

  • Minimum of 2 sources cited (assigned readings and an outside scholarly source)
  • APA format for in-text citations and list of references

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Translating Verbal Expressions

 

Required Resources Read/review the following resources for this activity:

  • Textbook (Pre-Algebra): Chapter 2, 3
  • Minimum of 1 outside scholarly source (in addition to the textbook)

InstructionsThe language of math is used all around us, everyday. Verbal phrases can be translated into mathematical expressions. For example, you can write an expression to represent how much a realtor will earn at a 5% commission on a house that costs x dollars as .05x.

For the initial post, create a verbal phrase to describe a real-world scenario and translate it into a mathematical expression.

  • Summarize what you learned from their post.
  • Show how you would have simplified their presented expression in a different way.
  • Ask extension questions to further dialogue.

Writing Requirements

  • Minimum of 2 sources cited (assigned readings and an outside scholarly source)
  • APA format for in-text citations and list of references

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Math in the Real World

 

Required ResourcesRead/review the following resources for this activity:

  • Textbooks: Review all chapters
  • Minimum of 1 outside scholarly source (in addition to the textbook)

 Instructions-It’s not hard to find interesting examples of math in the real world because math is everywhere, including advertising. Whether an airline is touting the amount you will save flying with them or a toothpaste company is informing you that 4 out of 5 dentists recommend their product, using math is one way advertisers try to get you to buy their product or service.

For this final discussion, find an online advertisement or news article that uses math. Include the following in your post:

  1. Provide the link to the advertisement or article.
  2. Explain how the advertisement/article uses math.
  3. Determine if this is an effective way to promote their product. Why or why not?

Writing Requirements

  • Minimum of 2 sources cited (assigned readings and an outside scholarly source)
  • APA format for in-text citations and list of references

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Expressions and the Order of Operations

 

Required Resources-Read/review the following resources for this activity:

  • Textbook (Pre-Algebra): Chapter 3, 7
  • Minimum of 1 outside scholarly source (in addition to the textbook)

Instructions-In English, the placement of punctuation can change the meaning of the entire sentence.

Example-John said “Ben drove too fast””

is different than

“”John

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Fractions in Everyday Life

 

Required Resources-Read/review the following resources for this activity:

  • Textbook (Pre-Algebra): Chapter 2, 4
  • Minimum of 1 outside scholarly source (in addition to the textbook)

 Instructions-Fractions and mixed numbers are often used in our everyday lives. For example, today I ran 3 1/2 miles.

For the initial post, provide a real-life example in which you would need to add, subtract, multiply, or divide fractions or mixed numbers. Your post should include the following:

  • An expression representing your given scenario
  • Adding, subtracting, multiplying, or dividing fractions
  • A step-by-step explanation detailing how you simplified your expression

Writing Requirements

  • Minimum of 2 sources cited (assigned readings and an outside scholarly source)
  • APA format for in-text citations and list of references

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Let’s Look at Ratios

 

Required ResourcesRead/review the following resources for this activity:

  • Textbook -(Pre-Algebra): Chapter 5, 6
  • Minimum of 1 outside scholarly source (in addition to the textbook)

Instructions-Did you drive to work today? If you did, you used a ratio. Driving 30 miles per hour involves a ratio of two numbers. It can be written as a fraction: (30 miles)/(1 hour), or the way we most commonly see it: 30 mph.

identifying other ratios we see in our everyday lives.

  1. Think of an example of a ratio you use in your life or in the workplace.
  2. List the ratio and explain its meaning in context of the application.
  3. Create an equivalent fraction of the ratio that you presented and explain why equivalent fractions would be used in this application.

Writing Requirements

  • Minimum of 2 sources cited (assigned readings and an outside scholarly source)
  • APA format for in-text citations and list of references

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Linear Relationships

 

Required Resources –review the following resources for this activity:

  • Textbook (Pre-Algebra): Chapter 11
  • Textbook (Elementary Algebra): Chapter 4
  • Minimum of 1 outside scholarly source (in addition to the textbook)

 Instructions-Have you ever ridden a bike uphill? Have you ever skied down a mountain? If so, you know what slope is all about! “Rate of change”” is just a way of asking for the slope in a real-world problem; that is the focus of this discussion.

For example

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