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Doing the Math - JHU Mathematics - Johns Hopkins University

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APPENDICES<br />

Accuplacer Sample VSC Algebra II Additional Notes<br />

Skill Problem Topics<br />

Series and<br />

sequences<br />

Determinants<br />

Permutations<br />

and<br />

combinations<br />

Factorials<br />

Word<br />

problems<br />

Functions<br />

Polynomial<br />

functions<br />

Algebraic<br />

functions<br />

An apartment<br />

building contains 12<br />

units consisting of<br />

one- and twobedroom<br />

apartments<br />

that rent for $360<br />

and $450 per month,<br />

respectively. When<br />

all units are rented,<br />

<strong>the</strong> total monthly<br />

rental is $4,950.<br />

What is <strong>the</strong> number<br />

of two-bedroom<br />

apartments?<br />

62 <strong>Doing</strong> <strong>the</strong> <strong>Math</strong><br />

1.1 The student will model and interpret realworld<br />

situations, using <strong>the</strong> language of<br />

ma<strong>the</strong>matics and appropriate technology.<br />

2.1 The student will be familiar with basic<br />

terminology and notation of functions.<br />

2.2 The student will perform a variety of<br />

operations and geometrical transformations on<br />

functions.<br />

2.4 The student will describe or graph notable<br />

features of a function using standard<br />

ma<strong>the</strong>matical terminology and appropriate<br />

technology.<br />

2.7 The student will use <strong>the</strong> appropriate skills to<br />

assist in <strong>the</strong> analysis of functions.<br />

2.7.1 The student will add, subtract, multiply,<br />

and divide polynomial expressions.<br />

2.2.1 The student will add, subtract, multiply,<br />

and divide functions.<br />

2.9.0.1<br />

2.9.0.2<br />

2.9.0.3<br />

2.9.0.4<br />

Not in VSC<br />

Missing—may be included in<br />

2.6. The student will solve<br />

systems of linear equations and<br />

inequalities.<br />

Missing—may be prerequisite<br />

and/or as part of 2.9.0.1-<br />

2.9.0.4.<br />

Missing—may be prerequisite<br />

and/or as part of 2.9.0.1-2.9.0.4.<br />

Some issues with technology.<br />

It is specified that linear models<br />

should be able to be done<br />

without calculators, but not<br />

elsewhere.<br />

Well covered<br />

2.1.2 Assessment Limits<br />

Essential characteristics of a<br />

polynomial function include<br />

degree, intercepts, end<br />

behavior, and symmetry of even<br />

or odd power functions.<br />

2.1.2 Assessment Limits<br />

Rational functions should have<br />

denominators that are linear<br />

quadratic<br />

sum and/or difference of two<br />

cubes in factored form.

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