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?
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.

Scenario The height, in feet, of an object shot upwards into the air with an ini

Scenario
The height, in feet, of an object shot upwards into the air with an initial velocity, in feet per second, of vi, after t seconds is given by the formula:
Use the equation above to answer questions about a model rocket is launched from the ground into the air with an initial velocity of 352 feet per second. Use the graph below to help answer the questions.
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.
: Create the equation for the height of the rocket after t seconds.
: Find the time it takes for the rocket to reach a height of 0. Interpret both solutions.
: Find the time it takes to reach the top of its trajectory.
: Find the maximum height.
: Find the time it takes to reach a height of 968 feet. Round your answer to the nearest tenth.

Module 05 Content Scenario The height, in feet, of an object shot upwards into t

Module 05 Content
Scenario
The height, in feet, of an object shot upwards into the air with an initial velocity, in feet per second, of vi, after t seconds is given by the formula:
Use the equation above to answer questions about a model rocket is launched from the ground into the air with an initial velocity of 352 feet per second. Use the graph below to help answer the questions.
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: Create the equation for the height of the rocket after t seconds.
Part 2: Find the time it takes for the rocket to reach a height of 0. Interpret both solutions.
Part 3: Find the time it takes to reach the top of its trajectory.
Part 4: Find the maximum height.
Part 5: Find the time it takes to reach a height of 968 feet. Round your answer to the nearest tenth.
2) Module 06 Assignment – Glazed Icing Rational Algebraic Expressions
Module 06 Assignment – Glazed Icing Rational Algebraic Expressions
Module 06 Content
Scenario
Your donut shop has perfected a method for the perfect glazed icing by slowly mixing whole milk with confectioner’s sugar while exposed to low heat. Your mixing tank starts with 10 fluid ounces of milk and 10 ounces of sugar. You continue adding sugar at a rate of 10 ounces per minute and milk at 1 ounce per minute, as depicted by the two equations below:
Where S represents the number of ounces of sugar, M represents the ounces of milk, and t represents the time in minutes. The ideal icing will have a ratio of 8 ounces of sugar per ounce of milk.
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: Create a rational equation to represent the concentration (C) in ounces of sugar per ounce of milk.
Part 2: Find the domain of the concentration equation.
Part 3: Will we ever encounter a time when the rational equation is undefined? Explain your reasoning.
Part 4: Calculate the concentration after five minutes.
Part 5: How long does it take to reach a concentration of 8 ounces of sugar per ounce of milk?

Scenario A friend has given you left-over landscaping bricks. You decide to make

Scenario
A friend has given you left-over landscaping bricks. You decide to make a garden bed and surround it with the bricks. There are 62 bricks, and each brick is 8 inches long. You would like the garden bed to be slightly more than twice as long as it is wide, as shown in the diagram below. You have also given yourself a budget of $125 for additional materials should you need them. Your local home improvement store sells the same bricks for $1.98 per brick. The displayed sides present the number of bricks on each side, where x is a number of bricks.
this is 2x+1
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: Write an equation representing the perimeter of the garden bed.
Part 2: Calculate how many bricks are used on each side.
Part 3: Determine the length of each side.
Part 4: Write an inequality that represents how many bricks can be purchased within your budget.
Part 5: Will you be able to make another complete layer of bricks on top and stay within your budget?