Doing the Math - JHU Mathematics - Johns Hopkins University

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$The State of State Math Standards 2005 - JHU Mathematics$

APPENDICES Accuplacer Sample VSC Algebra II Additional Notes Skill Problem Topics Series and sequences Determinants Permutations and combinations Factorials Word problems Functions Polynomial functions Algebraic functions An apartment building contains 12 units consisting of one- and twobedroom apartments that rent for $360 and $450 per month, respectively. When all units are rented, the total monthly rental is $4,950. What is the number of two-bedroom apartments? 62 Doing the Math 1.1 The student will model and interpret realworld situations, using the language of mathematics and appropriate technology. 2.1 The student will be familiar with basic terminology and notation of functions. 2.2 The student will perform a variety of operations and geometrical transformations on functions. 2.4 The student will describe or graph notable features of a function using standard mathematical terminology and appropriate technology. 2.7 The student will use the appropriate skills to assist in the analysis of functions. 2.7.1 The student will add, subtract, multiply, and divide polynomial expressions. 2.2.1 The student will add, subtract, multiply, and divide functions. 2.9.0.1 2.9.0.2 2.9.0.3 2.9.0.4 Not in VSC Missing—may be included in 2.6. The student will solve systems of linear equations and inequalities. Missing—may be prerequisite and/or as part of 2.9.0.1- 2.9.0.4. Missing—may be prerequisite and/or as part of 2.9.0.1-2.9.0.4. Some issues with technology. It is specified that linear models should be able to be done without calculators, but not elsewhere. Well covered 2.1.2 Assessment Limits Essential characteristics of a polynomial function include degree, intercepts, end behavior, and symmetry of even or odd power functions. 2.1.2 Assessment Limits Rational functions should have denominators that are linear quadratic sum and/or difference of two cubes in factored form.
Accuplacer Sample VSC Algebra II Additional Notes Skill Problem Topics Exponential functions Logarithmic functions Trigonometry Trigonometric functions If log(x)=3 then x= If q is an acute angle and sin(q) = 1 /2 then cosq = 1.1.3 The student will determine and interpret an exponential function when given a graph, table of values, essential characteristics of the function, or a verbal description of a real-world situation. 2.7.5 The student will perform operations on radical and exponential forms of numerical andalgebraic expressions. 1.1.4 The student will be able to use logarithms to solve problems that can be modeled using an exponential function. 2.7.6 The student will simplify and evaluate expressions and solve equations using properties of logarithms. A. College-Level Mathematics Proficiency Statements These guidelines come from the Accuplacer Coordinator’s Guide. Missing Total Right Score of About 40 or Less These students should take the Elementary Algebra Test before any placement decisions are finalized. APPENDICES Total Right Score of About 40 These students can: identify common factors, factor binomials and trinomials, and manipulate factors to simplify complex fractions. These students should be considered for placement into intermediate algebra. For further guidance in placement, have these students take the Elementary Algebra Test. Total Right Score of About 63 Students scoring at this level can demonstrate the following additional skills: work with algebraic expressions involving real number exponents, factor polynomial expressions, simplify and perform arithmetic operations with rational expressions, including complex fractions, solve and graph linear equations and inequalities, solve absolute value equations, solve quadratic equations by factoring, graph simple parabolas, understand function notation, such as determining the value of a function for a specific number in the domain, have a limited understanding of the concept of function on a more sophisticated level, such as determining the value of the composition of two functions, and have a rudimentary understanding of coordinate geometry and trigonometry. Doing the Math 63
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Doing the Math: Are Maryland’s Hi
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Executive Summary . . . . . . . . .
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Introduction . . . . . . . . . . .
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Page 15 and 16: The VSC for Algebra I/Data Analysis
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Page 21 and 22: The VSC for Algebra II and the Accu
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Page 26 and 27: students take the test without prep
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Page 41 and 42: Appendices I. ACCUPLACER ELEMENTARY
Page 43 and 44: Accuplacer Sample VSC Algebra I/ HS
Page 45 and 46: Accuplacer Sample VSC Algebra I/ HS
Page 47 and 48: APPENDICES Statement” that accomp
Page 49 and 50: APPENDICES 1.1.3.5 Additional Topic
Page 51 and 52: Skill Statement Given one or more o
Page 53 and 54: Skill Statement Using given data, t
Page 55 and 56: Indicator Problem Problem Descripti
Page 61 and 62: APPENDICES Analysis In general, the
Page 63 and 64: F. Achieve Analysis of Elementary A
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Page 69 and 70: APPENDICES Applications and Other A
Page 71 and 72: a function in equation form, the st
Page 73 and 74: APPENDICES Skill Statement Given on
Page 75 and 76: APPENDICES Rational equations will
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