Math: It Adds to Your Life. Math Pathways take students where they need to go. Number Systems. Number Systems Solution. Arithmetic, Exponents. Oil Spill. - PowerPoint PPT Presentation
Math: It Adds to Your LifeMath Pathways take students where they need to goNumber Systems
Number Systems SolutionArithmetic, Exponents
Oil SpillAn oil spill breaks up over the sea in smaller and larger sections. An aerial photograph is taken of the area and it is estimated that the sections of oil and open water can be enclosed by a 4 by 5 kilometer rectangle.Oil Spill Picture
Oil Spill SolutionProbability and RatiosMonte Carlo MethodThe photo is digitized and fed into a computer, then random points are programmed and noted whether they hit the sought area. The greater the total number of points the more reliable the estimate.Pulse RateDo you see any patterns in this chart?
AnimalPulse RateWeightLifespanBat588.0320Squirrel390.55-12Chicken32036-10Porcupine30095-10Fox240410-15Cat130614-20Collie1002912Pulse Rate SolutionAlgebra and Geometry, BiologyPlotting points, Graphing a line, estimating surface areaCircumference of the EarthOn the day of the summer solstice, the suns rays shine directly into the bottom of a well without illuminating the side of the well; 800 km away the suns rays are measured to be 7 from vertical. What is the circumference of the Earth?Circumference of the Earth SolutionGeometry and RatiosEratosthenes did this calculation around 230BC
Turkey TimeA turkey is taken from the refrigerator at 2C and placed in an oven preheated to 200C and kept at that temperature; after 30 minutes the internal temperature of the turkey has risen to 16C. The fowl is ready to be taken out when it internal temperature reaches 88C.Determine the cooking time required.Turkey Time SolutionCalculus, Science of Heat Transfer
What these problems tell usWe look for solutions to problems from what we knowSkill development doesnt automatically lead to mathematical thinkingHistory brings a new perspective to mathMathematical modeling connects math to lifeCurrent Math ProgressionTerminal Math Courses For non-STEM majorsAddition for STEM Math PathMath PresentersJohn Squires Chattanooga State CCBetty Frost Jackson State CCMyra Snell Los Medanos CCAmy Getz/ Uri Treisman UT AustinTristan Denley Austin Peay Stat UniversityFrom Myra Snells presentationFor students placing two levels below a college course in English/Math, there are 5 exit points where they fall away:
Do they pass the first course? If they pass, do they enroll in the next course? If they enroll, do they pass the second course?If they pass, do they enroll in the college-level course? If they enroll, do they pass the college-level course?
Students placing three levels down have 7 exit points.
From Myra Snells Presentation(0.66)(0.93)(0.75)(0.91)(0.78)= 33%
MAT 030I.Calculate using whole and decimal numbers without a calculator. II. Demonstrate knowledge and usage of whole numbers. III.Demonstrate knowledge and usage of fractions and mixed numbers. IV. Demonstrate knowledge and usage of decimals.
TOPICAL OUTLINE: I.Demonstrate competency in the usage of whole numbers. A.Describe the structure of our number system. B.Read and write whole numbers through trillions. C.Compute the sum, difference, product, and quotient of whole numbers. D.Round whole numbers to the indicated place. E.Estimate answers to whole number calculations. F.Evaluate numbers written in exponential form and identify base, exponent, and factors of such numbers. G.Determine square and cube roots. H.Apply the correct order of operations to evaluate arithmetic expressions. I.Solve word problems involving whole numbers. J.Identify numbers as prime or composite. K.Determine the prime factorization of a number using divisibility rules. II. Demonstrate knowledge and usage of fractions and mixed numbers. A.Interpret a fraction as parts of a whole, or as an indicated division. B.Identify and understand the meaning of numerator and denominator. C.Determine the least common multiple/lowest common denominator of a set of numbers. D.Use the identity property to rename fractions. E.Arrange fractions in order, smallest to largest. F.State the reciprocal of any given number. G.Change improper fractions to mixed numbers and vice versa. H.Compute the sum, difference, product and quotient of commonly used fractions and mixed numbers writing the answer in simplest form. I.Use fractions in applications. III.Demonstrate knowledge and usage of decimals. A.Read and write decimal numerals to millionths place. B.Write common fractions as equivalent decimals and vice versa. C.Arrange decimal numerals in order, smallest to largest. D.Round decimal numerals to indicated place. E.Compute the sum, difference, product and quotient of decimals. F.Apply the shortcut method of moving the decimal point when multiplying or dividing by powers of ten. G.Rewrite standard decimal numerals in scientific notation and vice versa. H.Solve word problems involving decimals.
MAT 060I.Calculate using whole, fractional and decimal numbers both with and without a calculator. II. Demonstrate knowledge and usage of fractions and mixed numbers. (I) III.Demonstrate knowledge and usage of ratio and proportion. (II) IV. Demonstrate knowledge and usage of percent. (III)
MAT 060 ContV.Demonstrate knowledge and usage of measurement, area and perimeter. (IV) VI. Demonstrate knowledge and usage of integers. (V) VII.Demonstrate knowledge and usage of algebraic expressions. (Optional) (VI) VIII. Demonstrate knowledge and usage of basic first-degree equations. (Optional) (VII)
MAT 090I.Demonstrate knowledge and usage of first-degree equations, inequalities and formulas. (I) II. Demonstrate knowledge and usage of polynomials. (II) III.Demonstrate knowledge and usage of factoring and solving quadratic equations by factoring. (III)
MAT 090 contIV. Demonstrate knowledge and usage of coordinate geometry. (IV) V.Demonstrate knowledge and usage of algebraic fractions. (V) (Optional) VI. Demonstrate knowledge and usage of linear systems. (VI) (Optional
MAT 120I.Solve problems involving principles of set theory and logic. II. Solve problems involving mathematical modeling.III.Solve problems involving probability. IV. Solve problems involving statistics.
MAT 120 contV.Solve problems involving consumer mathematics. VI. Read, analyze, and apply to new situations, written material related to the study of mathematics. VII.Write and speak clearly and logically in presentations and essays about topics related to mathematics.
MAT 120 contVIII. Demonstrate the ability to select and apply contemporary forms of technology to solve problems or compile information in the study of mathematics.MAT 120 contIX. One of the following competencies is also required. A.Solve problems involving Euclidean geometry. B.Solve problems involving varying numeration systems. C.Solve problems involving mathematics of social choice. D.Solve problems involving management science.
Working paper from the DETF
The New Mathways from UT Austins Dana Center