2019 Porcelli Lectures by Robert Bryant | LSUMath



LSU College Readiness Program for MathPrerequisite ACT and SAT ScoresPart 1. Prerequisite ScoresMany LSU math courses use ACT scores for prerequisites in order to place students into courses where they can be successful. In the absence of ACT scores, SAT scores are used.For dual enrollment math courses, there are sometimes situations where students do not yet have ACT scores or SAT scores. In those cases, some other “equivalent” assessment score needs to be used for placement. After examining the information in Parts 2, 3, and 4 of this document, the following minimum scores will be allowed as prerequisites for the 2017-18 academic year.Math 1021 and Math 1029 ---Math ACT of 19 and Composite ACT of 18Math PLAN of 19 and Composite PLAN of 18Math SAT of 460 and Total SAT of 860Math Revised SAT of 500 and Total Revised SAT of 940Math PSAT of 460 and Total PSAT of 860Math Revised PSAT of 500 and Total Revised PSAT of 940Math PSAT 10 of 500 and Total PSAT 10 of 940EXPLORE, PreACT, ASPIRE, and PSAT 8/9 scores will not be used to meet the course prerequisites.The EXPLORE test has lower level content than the ACT and the PLAN, and the topics are too diverse to measure College Algebra Readiness.The PreACT test is not clearly defined enough at this time to allow its use.ASPIRE and PSAT 8/9 topics are not appropriate for College Algebra readiness assessment.The prerequisites for Math 1029 at this time will remain the same as those for Math 1021.Math 1022 and Math 1431 ---Math ACT of 25Credit in Math 1021 Math SAT of 460 and Total SAT of 860Math Revised SAT of 500 and Total Revised SAT of 940PLAN, EXPLORE, PreACT, ASPIRE, PSAT, PSAT 10, and PSAT 8/9 scores will not be used to meet the course prerequisites.PLAN is not used for Trigonometry placement because it has no trigonometry questions.The prerequisites for Math 1431 at this time will remain the same as those for Math 1022.Any exception to these minimum scores must be approved by the Math Department DE coordinator, Admissions, and the College Readiness Program Cain Center Co-Director for College Readiness.Part 2. ACT AssessmentsThe ACT, originally an abbreviation of American College Testing, has the following college readiness assessments: ACT, PLAN, EXPLORE, PreACT, and ASPIRE. PLAN and EXPLORE tests are no longer being administered. Here are the details of those tests specifically for math.MATHACTPLANEXPLOREPreACTASPIREGrade Level11/12108/91010Number of Questions6040253637-39Time Allowed6040304075Range of Scores1-361-321-251-36400-460Question Format5 answer multiple choice5 answer multiple choice5 answer multiple choicemultiple choice29-30 multiple choice, 3-4 technology enhanced, 5 constructed responseCalculator GCAGCAGCAGCAGCAGCA means graphing calculator allowed. See testing site for specific details.Items tested on the Mathematics section of the ACT cover four cognitive levels: knowledge and skillsdirect application understanding conceptsintegrating conceptual understanding Of the 60 questions on this test, here is the breakdown of math areas: Pre-Algebra - 14 Elementary Algebra - 10Intermediate Algebra - 9 Coordinate Geometry - 9Plane Geometry - 14 Trigonometry - 4 Items tested on the Mathematics section of the PLAN cover three cognitive levels: knowledge and skillsdirect applicationunderstanding concepts and integrating conceptual understandingOf the 40 questions on this test, here is the breakdown of math areas:Pre-Algebra - 14Elementary Algebra - 8Coordinate Geometry - 7 Plane Geometry - 11Items tested on the Mathematics section of the EXPLORE cover three cognitive levels: knowledge and skillsdirect applicationunderstanding concepts Here is the breakdown of math areas: Basic Operations and Applications (15%) Probability, Statistics, & Data Analysis (14%) Numbers: Concepts & Properties (15%) Expressions, Equations, & Inequalities (14%) Graphical Representations (14%) Properties of Plane Figures (14%) Measurement (14%) The PreACT was first administered in Fall 2016. Since it is a relatively new test offered to 10th grade students, ACT has not yet published a Technical Manual for it. The goal of this test is similar to the old ACT PLAN test, which is testing students to see if they are on target to meet the benchmarks in grade 11. Items tested on the Mathematics section of the PreACT cover three cognitive levels: Preparing for Higher Math (21 questions)Integrating Essential Skills (15 questions) Modeling (greater than or equal to 10 questions) Here is the breakdown of math areas:Number and quantity (3-5 questions)Algebra (4-6 questions) Functions (4-6 questions)Geometry (3-5 questions)Probability and Statistics (3-5 questions)The Composite score for the ACT, PLAN, EXPLORE, and the PreACT is the average of the four sub-scores (Math, English, Reading, and Science) rounded to the nearest whole number.The ASPIRE is also a relatively new test offered to students in grades 3-10. It incorporates interim, classroom, and summative assessment options. There is one summative assessment for each topic area (Math, English, Reading, Science, and Writing for each grade level). Summative assessment scores for all grade levels have a minimum score of 400. The maximum score in 3rd grade is a 434, where the maximum score in 10th grade is a 460. The summative assessment is a standard computer-based multiple-choice test along with constructed response, selected response, and technology enhanced sections. The ACT ASPIRE summative assessments cover the following concepts: Mathematical Practices (Grade Level Progress and Foundations)Justifications and Explanations Modeling Due to the variability of ASPIRE in each grade level and insufficient data from this test, it would not be reasonable to include this test in the table below. TopicACTPLANEXPLOREPreACTPre-Algebra TopicsOperations using whole numbers, decimals, fractions, and integersXXXXPlace valueXXXXSquare rootsXXXXSquare roots approximationsXXThe concept of exponentsXXXScientific notationXXXFactorsXXXXRatios, proportions, and percentsXXXLinear equations in one variableXXXXAbsolute value and ordering numbers by valueXXElementary counting techniques and simple probabilityXXXData collection, representation, and interpretationXXXXSimple descriptive statisticsXXXReading and relating graphs, charts, and other representations of dataXXElementary Algebra TopicsProperties of exponents and square rootsXXXEvaluation of algebraic expressions through substitutionXXXEvaluation of algebraic expressions using variables to express functional relationshipsXXXEvaluation of algebraic operationsXXXXEvaluation of algebraic expressions through the solution of quadratic equations by factoringXXAddition, subtraction, and multiplication of polynomials XXFactorization of polynomialsXXSolve quadratic equations by factoringXXUse of number lines to represent numbersXIntermediate Algebra TopicsQuadratic formulaXXRational and radical expressionsXAbsolute value equations and inequalitiesXSequences and patternsXSystems of equationsXXQuadratic inequalitiesXFunctionsXXModelingXXMatrices XXRoots of polynomialsXComplex numbersXXVectorsXExponential equationsXXLogarithmic equationsXXPiecewise functionsXXCoordinate and Plane Geometry TopicsGraphing points XXXRelationships between the equation of a line and the graph of the lineXXRelationships between the equation and graph of a polynomialXRelationships between the equation and graph of a circleXGraphing and the relations between equations and graphs of other curvesXGraphing inequalities XXSlopeXXUse of scales and measurement systemsXRelationships between the equations and graphs of parallel and perpendicular lines XXRelationships between parallel and perpendicular linesXXDistanceXXMidpointsXXConicsXXProperties and relations of plane figuresXXXProperties and relations of geometric figuresXXProperties and relations of anglesXXX XThe concept of angles and their measuresXXThe concept of angles and parallelism XProperties of circlesXXXXProperties of trianglesXXXXProperties of rectangles XXProperties of parallelogramsXXProperties of trapezoidsXXPythagorean theoremXTransformationsXXThe concept of proof and proof techniquesXVolumeXXXApplications of geometry to three dimensionsXSimilar shapesXXCongruent shapesXXArea and surface areaXXXXTrigonometry TopicsUnderstanding of trigonometric relations in right trianglesXXValues and properties of trigonometric functions XGraphing trigonometric functionsXModeling using trigonometric functionsXUse of trigonometric identitiesXSolving trigonometric equationsXPart 3. SAT AssesmentsThe College Board has the following college readiness assessments: SAT, Redesigned SAT (R-SAT), PSAT, Redesigned PSAT (R-PSAT), and the recently added PSAT 10 and PSAT 8/9. Students taking the SAT take 3 tests - reading, writing and language arts, and math - and may write an optional essay. Each of the 3 tests is scored on a scale of 10 – 40. The sum of the reading and writing test scores is multiplied by 10 to get an “Evidence Based reading and writing” section score. The math test score is multiplied by 20 for a math section score. The sum of the two section scores is the total score on a scale of 400 – 1600. There are seven sub-scores (1-15 points each) within the three tests. The PSAT/NMSQT, PSAT 10, and PSAT 8/9 are structured similarly to the SAT, but they do not have an essay option. The scoring scales are vertically aligned. The top total score on the PSAT is 1520 and on the PSAT 8/9 it is 1440. Theoretically a student taking all or more than one of these assessments on the same day will receive the same score on each. The College Board has recently made significant changes to the SAT (April 2016) and the PSAT (Fall 2015). In addition to the vertical alignment, a key scoring change is that multiple choice options have been reduced from 5 to 4 and there is no longer a penalty for guessing (wrong answers). In addition to scoring changes, the number and focus of questions have changed and a no-calculator section has been added. MATH SAT (pre-April 2016)Redesigned SATPSAT (pre-Fall 2015)RedesignedPSAT/NMSQT and PSAT 10PSAT 8/9Number of Questions5458384838Time Allowed70 mins80 mins50 mins70 mins60 minsRange of Scores200-800200-80020-80160-760120-720Multiple choice questions44 (5 option)45 (4 option)28 (5 option)40(4 option)31(4 option)Grid-In questions1013, 1 is extended thinking1087Calculator AllowedGCAGCA55 minutes (69%)GCAGCA 45 minutes (64%)GCA 40 minutes (67%)GCA means graphing calculator allowed. See testing site for specific details.The math section of the SAT assessments consists of 4 domains: Heart of AlgebraProblem Solving and Data AnalysisPassport to Advanced MathAdditional Topics The test is designed to measure mathematical fluency, conceptual understanding, and applications in scenarios that are relevant to both the real world and to college and career readiness. Multi-step problems and no calculator sections (about a third of the test) emphasize problem solving and number sense.The relative weighting of these domains varies with more weight on the more difficult topics as the tests go from the PSAT 8/9 to the SAT. The College Board does not delineate a breakdown of specific topics found on each of these tests. The general areas covered in each domain and the number of questions provided on each assessment are shown in the table below.DomainContent DimensionSATPSAT/ PSAT 10PSAT 8/9Heart of AlgebraLinear equations in one variableLinear functionsLinear equations in two variablesSystems of two linear equations in two variablesLinear inequalities in one or two variables191616Problem Solving and Data AnalysisRatios, rates, proportional relationships, and unitsPercentagesOne variable data: distributions and measures of center and spreadTwo variable data: models and scatterplotsProbability and conditional probabilityInference from sample statistics and margin of errorEvaluating statistical claims: observational studies and experiments171616Passport to Advanced MathEquivalent expressions Rational expressions, factoring polynomials, radicals and rational exponentsNonlinear equations in one variable and systems of equations in two variablesNonlinear functions Quadratic, exponential, absolute value, rational, radical, polynomial16146Additional TopicsArea and volumeLines, angles, and triangles Congruence, similarity, proof and theorems:, vertical angle, triangle angle sum, transversals and parallel linesRight triangles and trigonometry Pythagorean theorem, right triangle trig, special right triangles, sine/cosine of complementary anglesCircles Geometry, radian measure, unit circle trig ratios, graphing with (h,k) form, completing the square, radian/degree conversionComplex Numbers Add, subtract, multiply, divide620Part 4. ACT - SAT Concordance TablesLSU Admissions in conjunction with LSU Math Department and English Department representatives have decided to use the following concordance tables for equivalent prerequisites involving the ACT and SAT. This decision will be revisited after more data is available on the New SAT.MATHACTSATRedesigned SAT Math Section*Redesigned SAT Math Test25570-580590-60029.5-30245605802923540-55057028.522520-530550-56027.5-2821500-510530-54026.5-2720480-4905202619460-470500-51025-25.5 *The Math section score is 20 times Math Test score.ACT COMPOSITE, SAT Total, and Redesigned SAT TotalACTSATRedesigned SAT251130-11601200-1230241090-11201160-1190231050-10801130-1150221020-10401100-112021980-10101060-109020940-9701020-105019900-930980-1010The original SAT total was the sum of the Math and Verbal sections. The Redesigned SAT total is the sum of the Reading and Writing section score and the Math section score.May 15, 2017 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download