# MAT 126 SURVEY OF MATHEMATICAL METHODS COMPLETE CLASS

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# MAT 126 SURVEY OF MATHEMATICAL METHODS COMPLETE CLASS

MAT 126 Complete Class Week 1 – 5 All Assignments and Discussion Questions – A+ Graded Course Material – Ashford

Week 1 Written Assignment

Following completion of your readings, complete exercises 35 and 37 in the “Real World Applications” section on page 280 of Mathematics in Our World.

For each exercise, specify whether it involves an arithmetic sequence or a geometric sequence and use the proper formulas where applicable. Format your math work as shown in the Week One Assignment Guideand be concise in your reasoning. Plan the logic necessary to complete the exercise before you begin writing.  For an example of the math required for this assignment, please review the Week One Assignment Guide.

The assignment must include (a) all math work required to answer the problems as well as (b) introduction and conclusion paragraphs.

Your introduction should include three to five sentences of general information about the topic at hand. The body must contain a restatement of the problems and all math work, including the steps and formulas used to solve the problems. Your conclusion must comprise a summary of the problems and the reason you selected a particular method to solve them. It would also be appropriate to include a statement as to what you learned and how you will apply the knowledge gained in this exercise to real-world situations.

Week 1 DQ

All numbers in our real number system are the product of prime numbers. Complete the following steps for this discussion:

List the ages of two people in your life, one older than you and one younger than you. It would be best if the younger person was 15 years of age or younger. Find the prime factorizations of your age and the other two persons’ ages. Show your work listed by name and age. Make sure your work is clear and concise. Find the LCM and the GCF for each set of numbers. Again, be clear and concise. Explain or show how you arrived at your answers. In your own words, explain the meaning of your calculated LCM and GCF for the ages you selected.  Do not explain how you got the numbers; rather explain the meaning of the numbers. Be specific to your numbers; do not give generic definitions.

Week 1 Quiz

Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items.  How many backpacks contained none of the three writing instruments?

The process of arriving at a specific conclusion based on previously accepted general statements is called ___________ reasoning

Which property of real numbers does the following equation demonstrate?

Perform the indicated operations:  -42÷6+(-7)

Find the number of subsets the set has.  {1, 2, 3, 4, 5, 6, 7, 8, 9}

State whether the following sequence is arithmetic, geometric, or neither.

Which of the following phrases does not describe the number -¾?

Week 2 Written Assignment

Following completion of your weekly readings, read “Are You Sure It’s Fat Free?” on page 286 of Mathematics in Our World.

Gather three of your favorite packaged foods; perhaps one from each: breakfast, lunch and dinner. Use the model explained in the “Are You Sure It’s Fat Free?” to analyze, through the mathematical formula explained, the fat content and protein content from your foods. To analyze the protein content use 4 calories per gram of protein, rather than the 9 calories for grams of fat.

The assignment must include (a) all math work required to answer the problems as well as (b) introduction and conclusion paragraphs.

Your introduction should include three to five sentences of general information about the topic at hand. The body must contain a restatement of the problems and all math work, including the steps and formulas used to solve the problems. Your conclusion must comprise a summary of the problems and the reason you selected a particular method to solve them. It would also be appropriate to include a statement as to what you learned and how you will apply the knowledge gained in this exercise to real-world situations.

The assignment must be formatted according the APA (6th edition) style, which includes a title page and reference page. For information regarding APA samples and tutorials, visit the Ashford Writing Center, within the Learning Resources tab on the left navigation toolbar, in your online course.

Carefully review the Grading Rubric for the criteria that will be used to evaluate your assignment.

# WEEK 2 QUIZ

Find the LCM of 29 and 116

Solve the proportion. x//10

Which property of the real numbers is illustrated by the following statement?

Perform the addition on the 12-hour clock. 5 + 11

Find the value of 327 in the mod 7 system

Simplify: 5(-3x + 3)

Evaluate the formula P = 2l + 2w when l = 4 in. and w = 4 in

Joe has \$10,000 to purchase a used car. If the sales tax is 7% and the fee for title and license plates is \$200, what is the maximum amount Joe can spend for a car?

Write 23 in base five

Week 2 DQ1

This Discussion should be an eye opener for most students. We will look at our food shopping trends and how we spend our money. The outcomes should reveal some interesting facts.

Week 2 DQ2

This Discussion will help us learn to develop our own mathematical models, write down the equations and then solve the equations for unknown values using algebraic methods.

Week 3 Quiz

Determine whether or not the network is traversable

Janet invested \$26,000, part at 6% and part at 3%. If the total interest at the end of the year is \$1,080, how much did she invest at 6%?

The difference between the ages of two friends is 37 years. The sum of their ages is 55 years. Find the age of the older friend

Write the equation in the slope-intercept form.
4x – 10y = 11

Identify angles 2 and 7 as alternate interior, alternate exterior, corresponding, or vertical

Adult tickets for a play cost \$19 and child tickets cost \$17. If there were 36 people at a performance and the theatre collected \$646 from ticket sales, how many children attended the play?

Determine whether or not the network is traversable

Week 3 DQ1

This Discussion will concentrate on functions and graphs. Understanding the definitions of words is the essence of mathematics. When we understand the meaning of words, finding a solution is much easier because we know what task the problem is asking us to complete.

Part 1

In your own words, define the word “function.” Give your own example of a function using a set of at least 4 ordered pairs. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and 5. Your example should not be the same as those of other students or the textbook. There are thousands of possible examples. Explain why your example models a function. This is extremely important for your learning. Give your own example of at least four ordered pairs that does notmodel a function. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and +5.  Your example should not be the same as those of other students or the textbook. There are thousands of possible examples. Explain why your example does not model a function.

Part 2

Select any two integers between -12 and +12 which will become solutions to a system of two equations. Writetwo equations that have your two integers as solutions. Show how you built the equations using your integers.Your solution and equations should not be the same as those of other students or the textbook. There are infinite possibilities. Solve your system of equations by the addition/subtraction method. Make sure you show the necessary 5 steps. Use the example on page 426 of Mathematics in Our World as a guide.

Week 3 DQ2

This Discussion tests your ability to use a ruler and convert from Standard English measure to Metrics. You will then apply your knowledge of the geometric measurements of area and volume through real world problems.

Choose a room in your house. Measure the length, the width, and the height. Make sure you use feet and inches. Most rooms are not a whole number, such as 10 feet; they are 10 feet and 3 inches, or 9 feet 6 inches, etc.
NOTE
: Do not use decimal numbers for the feet. For example, do not write 10.3 to mean 10’3”, because that is incorrect. Convert the measurements to all inches for step 2, and then convert back to square feet for step 3. Record your dimensions and, using the appropriate formula, find the surface area of the room. A gallon of paint covers about 350 square feet. How many gallons would be required to paint the room? Round up to the nearest gallon. If a gallon of paint costs \$22.95 plus 8% tax, what would be the total cost to paint the room? One inch is equivalent to 2.54 centimeters. Convert your English measurements to metrics. Record each dimension in centimeters. Show your conversions. Find the volume in cubic centimeters. Be neat and precise. If each dimension (length, width, and height) is doubled, what happens to the volume of the room?  Show your work.

Week 4 Written Assignment

Following completion of your readings, complete exercise 4 in the “Projects” section on page 620 ofMathematics in Our World.

Make sure you build or generate at least five more Pythagorean Triples using one of the many formulas available online for doing this. After building your triples, verify each of them in the Pythagorean Theorem equation.

The assignment must include (a) all math work required to answer the problems as well as (b) introduction and conclusion paragraphs.

Your introduction should include three to five sentences of general information about the topic at hand. The body must contain a restatement of the problems and all math work, including the steps and formulas used to solve the problems. Your conclusion must comprise a summary of the problems and the reason you selected a particular method to solve them. It would also be appropriate to include a statement as to what you learned and how you will apply the knowledge gained in this exercise to real-world situations.

The assignment must be formatted according the APA (6th edition) style, which includes a title page and reference page. For information regarding APA samples and tutorials, visit the Ashford Writing Center, within the Learning Resources tab on the left navigation toolbar, in your online course.

Carefully review the Grading Rubric for the criteria that will be used to evaluate your assignment.

# WEEK 4 QUIZ

A tie pin which sells for \$200.00 has a markup rate of 30% on the selling price. Find the amount of the markup and the cost.

Find the missing value

A single card is drawn from a deck. Find the probability of selecting a 3 or a club

A box contains five blue, eight green, and three yellow marbles. If a marble is selected at random, what is the probability that it is yellow?

The odds against an event are 8:8. Find the probability that the event will occur.

Express 3.46 as a percent

A coat was reduced from \$250 to \$200. Find the percent of the reduction in price

Express 81.6% as a decimal

Week 4 DQ1

The purpose of this Discussion is to analyze a financial plan that portrays a somewhat typical budgeting scheme. You will calculate expenses, a mortgage payment, and the effects of interest and financing on your budget. Show your math work for every answer and identify the answers with words.

Week 4 DQ2

This Discussion allows you to demonstrate your understanding of the similarities and differences between classical probability and empirical probability.

Week 5 Written Assignment

Following completion of your readings, answer the following two questions from “Chapter 12 Supplement” ofMathematics in Our World.

Select one even problem from exercises 1 through 10 on page 810. Select one even problem from exercises 11 through 22 on pages 811-812.

As you answer the questions above, identify what types of misrepresentation or misuse have been demonstrated by referring to the bold headings in the “Chapter 12 Supplement” (e.g., Suspect Samples, Asking Biased Questions, Misleading Graphs, etc.).

The assignment must include (a) all math work required to answer the problems as well as (b) introduction and conclusion paragraphs.

Your introduction should include three to five sentences of general information about the topic at hand. The body must contain a restatement of the problems and all math work, including the steps and formulas used to solve the problems. Your conclusion must comprise a summary of the problems and the reason you selected a particular method to solve them. It would also be appropriate to include a statement as to what you learned and how you will apply the knowledge gained in this exercise to real-world situations.

The assignment must be formatted according the APA (6th edition) style, which includes a title page and reference page. If you would like to refer to APA samples and tutorials, please visit the Ashford Writing Center, located in the left navigation toolbar.

Carefully review the Grading Rubric for the criteria that will be used to evaluate your assignment.

# WEEK 5 QUIZ

If a student’s rank in a class of 400 students is 44, find the student’s percentile rank

To select a _________ sample, the population is divided into disjoint subgroups according to some characteristics like income level, and then a few individuals are selected randomly from each of the subgroups to be in the sample

Find the area under the normal distribution curve to the right of z = –3.24

Kate scored in the 95th percentile rank on an exam. If 400 students took the exam, how many students scored lower than Kate?

Find the median and the mean for the data set below.
5.4  2.0  6.8  3.1  2.9  4.7  2.1  5.0  1.9  3.4

For the 20 test scores shown, find the percentile rank for a score of 86.
75 63 92 74 86 50 77 82 98 65 71 89 75 66 87 59 70 83 91 73

Use a scatter plot to deternine the relationship between the x values and the y values

Fran’s percentile rank on an exam in a class of 500 is 85. Kelly’s class rank is 60. Who is ranked higher?

Week 5 DQ

This Discussion will give you the opportunity to calculate or identify the three measures of central tendency. You will be asked to select an appropriate real life situation in which one measure would be more appropriate than the other two measures of center.