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CONTEXTUALIZED DEVELOPMENTAL MATH CLASSES FOR ALLIED HEALTH STUDENTS Jennifer Ackerman and John Ward 2012 COMPETENCIES* MAT 65 MAT 85 Solve problems involving +, -, x, / of integers, fractions and decimals Factor a polynomial over the rational numbers (!) Calculate whole power numbers, square roots of rational perfect squares Simplify and perform basic operations with rational (!) and radical expressions Perform conversions among decimals, fractions and percents Convert between rational exponents and radical notation Solve problems involving ratios, proportions and percents Recognize functions and use function notation; find the domain and range Perform conversions within U.S. Customary and International System (SI-metric) units Graph linear equations; Write linear equations in two variables in multiple forms from different information Apply basic formulas Solve quadratic equations Read and interpret tables and graphs Solve compound inequalities Solve basic linear equations in one variable Solve application problems involving functions Solve applied problems using these competencies with real world applications Perform basic operations on complex numbers NEW COMPETENCY CHANGES*! MAT 65 – Spring 2013 MAT 85 – Summer 2013 Removal of all conversions! Solve absolute value equations Inclusion of parallel and perpendicular (or neither) lines Solve and graph absolute value inequalities Factoring! Inclusion of general trinomials, solving quadratic equations and applications Completing the square and quadratic formula Inclusion of systems of linear equations in two variables Graph parabolas by finding the vertex, axis of symmetry and plotting points Solving simple linear equations is now in MAT 55 General factoring and systems of equations now in MAT 65 Solve applied problems using these competencies with real world applications (same) Model and solve applications based on linear, quadratic, and exponential functions CPE Changes from May 2012 WORKBOOK SUPPLEMENT Math Skills for Allied Health Careers Danielle L. Timmons Catherine W. Johnson Elementary and Intermediate Algebra by Bittinger, Ellenbogen, and Johnson EXAMPLES If a pediatric dose of a certain medication is 1 .5 mg for every 10 lb of body weight, how much medication should be given to a child who weighs 50 lbs? As a medical aide, you are charged with administering 25 doses of medication. Each dose is to be 1 .7 oz. You only have a 40 oz bottle. Is there going to be enough medication for everyone? Exactly how much will be left over or needed? Determine the percent strength (concentration) for a solution where you combine 15 mL of pure drug with 85 mL of water. The normal adult dosage for a particular medical condition calls for 10 mg of a drug. Use the formula for Clark’s Rule: C = w/150*d to determine how much of the medication you should give to a child weighing 50 lbs. Round your answer to the nearest milligram (mg) THE FUN STUFF Tic Tac Toe Tuesday Solve by graphing x=6 y = -1 A ¼ % solution of bichloride mercury is prepared using pure bichloride mercury liquid. Write this percent as an equivalent decimal and as a fraction Write the roman numeral for 940 (a question on “Jeopardy!”) Solve y – 3x = 27 8y + x = 16 The perimeter of an operating table is 24 ft. The length is 2 ft longer than the width. What are the length and the width of the operating table? Solve x=-y x+y=1 What is the percent concentration of a solution containing 12 g of NaCl (salt) in 150 mL of water? Solve X+y=3 5x + 5x = 15 Solve x+y=9 y=x–3 Motivation: Medical Mistakes Muddled Milliliters + Much More Do Doctors still know their math? 28 Doctors were recruited for an experiment which simulated an emergency. They were asked draw .12mg of epinephrine from one of two bottles into a syringe: A) 14 assigned to bottle labeled: 1mg/1ml B) 14 assigned to bottle labeled: 1:1000 Results: • 11 of 14 drew correct amount in group A with mean time of 35 seconds (79% success) • 2 of 14 drew correct amount in group B with mean time of 132seconds (14% success) 1ml of water = ___ g of water The concentration ratio bottle A:bottle B is ___: ___ So from either bottle the dosage is ____ ml We’ve come a long way but still have far to go. In 1910, when Abraham Flexner researched the state of US medical education, only 16 of the existing 155 medical schools required more than a high school education for admission. Germ theory was still disputed. Kimberly Hiatt was a pediatric critical care nurse who accidentally gave an infant a fatal overdose of calcium chloride in 2010. It was a calculation error. A human mistake. One mathematical error. After the incident, the hospital fired her. In April of 2011 she took her own life. Trying to help… if only a little • • • • • • • • • • • Are all 300 lb people who are 6’ tall obese? What percentage of an adult dose should a 75lb child receive according to Young’s Rule? Percent Change Military Time Drip rates Concentration/Mixture Pediatric Dosages by weight and age Ratio problems Roman Numerals Scientific Notation English/Apothecary and Metric Systems Conversions between systems Basal Metabolic Rate What is the only fraction in Roman Numerals and how do you express it? 2 BMI>30 obese = 703 Pediatric Dosage Problems Young’s Rule: = 12 + How many calories are in a pound of body fat? Clark’s Rule = 150 How much of a 25% concentrated solution would be needed to produce 500ml of a 15% solution? Other formulas/Questions V1C1 = V2C2 BMR D= There are ___ drams in an ounce =655+ 4.35W+4.7(H-A) Women ∗ C = (21.78 -0.101a)h A minim is the same as a(n) ________ At _____ degrees Celcius and Fahrenheit are equivalent. OVERALL RESULTS MAT 65 – SUMMER 2012 MAT 65 – FALL 2012 MAT 85 – FALL 2012 A 5 A 1 A 2 B 1 B 3 B 6 C 3 C 2 C 1 MP 1 MP F 1 F 3 F 6 W 0 W 4 W 5 Total 11 Total 13 Total 20 MP COMMENTS MAT 65 – SUMMER 2012 A 5 50%!! Amazing B 1 C 3 MP 1 MP = “Earned F” F 1 No Show W 0 Total 11 n = 10 active students COMMENTS MAT 65 – FALL 2012 A 1 B 3 C 2 MP F 3 W 4 Total 13 1 No Show Every student who took the final passed the class current enrollment for Spring 2013 = 14 students COMMENTS MAT 85 – FALL 2012 A 2 B 6 C 1 MP F 6 4 earned; 2 quit coming around midterm W 5 4 early drops; 1 dropped before the final Total 20 current enrollment for Spring 2013 = 16 students