Visit the websites http://www.math.com (Links to an external site.)Links to an external site., www.purplemath.com (Links to an external site.)Links to an external site., and www.hippocampus.org (Links to an external site.)Links to an external site. and spend time looking through what each website has to offer. In your own words, assess the websites:

What does each website offer in terms of help? (Provide specific examples from each site).

What website is your favorite? What did you like most about this site? (Be specific!)

Which of the three websites do you find the least helpful (whether its format, content, etc.)? Why?

If you were in charge of developing a math course, which of these websites would you recommend and why (you can recommend all three, just two, just one, or none!)? Support your answer.

## Instructions A “Pythagorean Triple” is a set of positive integers, a, b and c th

Instructions

A “Pythagorean Triple” is a set of positive integers, a, b and c that fits the rule: a2+ b2= c2.

Here is a list of a few Pythagorean Triples:

(3, 4, 5)

(5, 12, 13)

(6, 8, 10)

(7, 24, 25)

(8, 15, 17)

(9, 40, 41)

(10, 24, 26)

(11, 60, 61)

(12, 35, 37)

(13, 84, 85)

(14, 48, 50)

(15, 112, 113)

(16, 63, 65)

(17, 144, 145)

(18, 80, 82)

(19, 180, 181)

(20, 21, 29)

(20, 99, 101)

(21, 220, 221)

(23, 264, 265)

Pick a Pythagorean Triple and use the Pythagorean Theorem to verify that

a2+ b2= c2. Create a presentation explaining your step-by-step approach to solving the problem. Your presentation should be done in PowerPoint with Voice Over and should be 1 – 2 minutes in length.

Grading

This activity will be graded using the Presentation Rubric.

## Visit the websites http://www.math.com (Links to an external site.)Links to an e

Visit the websites http://www.math.com (Links to an external site.)Links to an external site., www.purplemath.com (Links to an external site.)Links to an external site., and www.hippocampus.org (Links to an external site.)Links to an external site. and spend time looking through what each website has to offer. In your own words, assess the websites

What does each website offer in terms of help? (Provide specific examples from each site).

What website is your favorite? What did you like most about this site? (Be specific!)

Which of the three websites do you find the least helpful (whether its format, content, etc.)? Why?

Week 4 DiscussionIf you were in charge of developing a math course, which of these websites would you recommend and why (you can recommend all three, just two, just one, or none!)? Support your answer.

## Scenario You are going to plant a rectangular flower bed consisting of tulips

Scenario

You are going to plant a rectangular flower bed consisting of tulips in the middle surrounded by daisies on the outside. You have the same amount of each flower and will need an equal area for each. You want the border of daisies to be uniform around the tulips in the middle, as shown in the diagram attached below:

Assessment Instructions

SHOW and EXPLAIN all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor.

Part 1: Find the total area of flower bed.

Part 2: Write the area of the flower bed as an equation using multiplication of two binomials.

Part 3: Solve your equation from Part 2.

Part 4: Identify the extraneous solution and explain how it was determined to be extraneous.

Part 5: Find the width of the part of the flower bed with the daisies.

## Scenario You are going to plant a rectangular flower bed consisting of tulips

Scenario

You are going to plant a rectangular flower bed consisting of tulips in the middle surrounded by daisies on the outside. You have the same amount of each flower and will need an equal area for each. You want the border of daisies to be uniform around the tulips in the middle, as shown in the diagram attached below:

Assessment Instructions

SHOW and EXPLAIN all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor.

Part 1: Find the total area of flower bed.

Part 2: Write the area of the flower bed as an equation using multiplication of two binomials.

Part 3: Solve your equation from Part 2.

Part 4: Identify the extraneous solution and explain how it was determined to be extraneous.

Part 5: Find the width of the part of the flower bed with the daisies.

## Scenario A tech company has developed a new compact, high efficiency battery for

Scenario

A tech company has developed a new compact, high efficiency battery for hand-held devices. Market projections have estimated the cost and revenue of manufacturing these batteries by the equations graphed attached below.

Assessment Instructions

Show and explain all steps in your responses to the following parts of the assignment. All mathematical steps must be formatted using the equation editor.

Part 1: Use the substitution method to determine the point where the cost equals the revenue.

Part 2: Interpret your results from Part 1 in the context of the problem.

Part 3: Do your results from Part 1 correspond with the graph? Explain.

Part 4: Profit is found by subtracting cost from revenue. Write an equation in the same variables to represent the profit.

Part 5: Find the profit from producing 75 thousand batteries.

## a known historical mathematician (Examples: Euler, Newton, Leibniz, Galois, Lore

a known historical mathematician (Examples: Euler, Newton, Leibniz, Galois, Lorentz) (20pts)

Discover the mathematician contributions to modern-day mathematics (30pts)

Explain how this mathematics may have influenced modern-day life or how it has caused historical events in the world (30pts)

Discover the importance of mathematics (20pts)

## Write a minimum 350-word paper about your understanding of mathematics concepts

Write a minimum 350-word paper about your understanding of mathematics concepts and how they can be applied to the elementary school classroom.

Address the following in your paper:

Describe two math concepts you learned in this course and how you can relate them to the real world.

Research 2 activities that will teach these concepts to elementary-aged students. Make sure to cite where you found them. Identify which math standards apply to each activity.

Explain how the discussions of the last five weeks have impacted or changed your approach to teaching math.

2 activities I learned about were fractions and decimals and the nth term

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

Required Resources

Read/review the following resources for this activity:

Knewton text (integrated in Knewton Assignments)

Lesson in Canvas

Instructions

Create a presentation explaining your step-by-step approach to solving the problem below. Your presentation should be done in PowerPoint with Voice Over and should be 1 – 2 minutes in length.

You are moving and need a rental truck. The rental company you have chosen charges a $70/day fee plus $0.20 for every mile you travel. Write a linear equation that expresses the total cost y, where x represents the number of miles you travel. Graph this equation. Then choose a number of miles, x, you travel that day and find the total cost of renting the truck.

## Initial Post Instructions We start the week by introducing polynomials. We will

Initial Post Instructions

We start the week by introducing polynomials. We will learn how to identify and simplify polynomials. We will also learn how to find the greatest common factor (GCF) among them. As our knowledge of polynomials grows, we will then move on to factoring trinomials. For your first post, search online for an article or video that describes how polynomials can be used in the real world. Provide a one paragraph summary of the article or video in your own words.

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