mat221 10185389 2

 

Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment:

• Read about Cowling’s Rule for child sized doses of medication (number 92 on page 119 ofElementary and Intermediate Algebra).

• Solve parts (a) and (b) of the problem using the following details indicated for the first letter of your last name

 

 

If your assigned number is	For part (a) of problem 92 use this information to calculate the child’s dose.	For part (b) of problem 92 use this information to calculate the child’s age.
			1	adult dose 400mg ibuprofen; 5 year old child	800mg adult, 233mg child

 

• Explain what the variables in the formula represent and show all steps in the computations.
  
  
• Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.): 
  
  
  • Literal equation
    
    
  • Formula
    
    
  • Solve
    
    
  • Substitute
    
    
  • Conditional equation

Your initial post should be 150-250 words in length. Respond to at least two of your classmates’ posts by Day 7. Do you agree with how your classmates used the vocabulary? Do the mathematical results seem reasonable? 

 

INSTRUCTOR GUIDANCE EXAMPLE: Week Two Discussion [Please remember to use your own wording in your discussion. The writing here is intended to demonstrate the type of writing that is appropriate for a math discussion, and not intended for students to copy.] For this discussion we are to use Cowling’s Rule to determine the child sized dose of a particular medicine. Cowling’s Rule is a formula which converts an adult dose into a child’s dose using the child’s age. As in all literal equations this one has more than one variable, in fact it has three variables. They are a = child’s age The formula is d = D(a + 1) D = adult dose 24 d = child’s dose I have been assigned to calculate a 6-year-old child’s dose of amoxicillin given that the adult dose is 500mg. d = D(a + 1) The Cowling’s Rule formula 24 d = 500(6 + 1) I substituted 500 for D and 6 for a. 24 d = 500(7) Following order of operations I added inside parentheses first. 24 d = 3500 Following order of operations the multiplication comes next. 24 d = 145.833… The division is the last step in solving for the child’s dose. The proper dose of amoxicillin for a 6-year-old child is 146mg. The next thing we are to do for this discussion is to determine a child’s age based upon the dose of medicine he has been prescribed. The same literal equation can be used, but we will just be solving for another of the variables instead of d. This time the adult dose is 1000mg and the child’s dose is 208mg. I need to solve for a. d = D(a + 1) The Cowling’s Rule formula 24 208 = 1000(a + 1) I substituted 1000 for D and 208 for d. 24 It should be noted that once both values have been substituted in, the result is a conditional equation for which there is only one possible value for a to make it true. 208(24) = 1000(a + 1)(24) Both sides are multiplied by 24 to eliminate denominator. 24 4992 = 1000(a + 1) Multiplication on left side is carried out. 4992 = 1000(a + 1) Divide both sides by 1000. 1000 1000 4.992= a + 1 One more step and it will be solved. 4.992 – 1 = a + 1 – 1 Subtract 1 from both sides to isolate a. 3.992 = a We have solved for a. The dose of 208mg is intended for a four-year-old child.

 

 

MAT221 Discussion Grading Rubric Grading Criteria MAT221 Discussions 4 points possible Content Criteria Weight Student thoroughly addresses all elements of the discussion prompt, and demonstrates an advanced knowledge of the topic. Student clearly understands the mathematical concepts in the assignment, and demonstrates the prerequisite math knowledge to do the work successfully. 1.6 Writing of Math Work Student effectively shows how the solution(s) was achieved. The math work is shown and follows an accurate process to get to the solution. 1.6 Participation Student responds with thorough and constructive analysis to at least two classmates, relating the response to relevant course concepts. Student may pose pertinent follow-up thoughts or questions about the topic, and demonstrates respect for the diverse opinions of fellow learners. Initial post was made by Day 3 (Thursday), and responses were made by Day 7 (Monday). 0.4 Writing Initial post contains very few, if any, errors related to grammar, spelling, and sentence s