Correlation Between the New York Regents Math A Test and the
eTAP Lessons
Mathematical Reasoning | Numbers & Numeration | Operations | Modeling/Multiple Representation | Measurement | Uncertainty (Probability) | Patterns & Functions
Topics marked by yellow are accessible from the
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Mathematical Reasoning (5-10% of Regents Exam)
Logic - Constructing Valid Arguments |
| Venn Diagrams |
Showing the Overlap with Venn Diagrams |
| http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=venn |
| Truth Values: and, or, implies, if and only if |
|
| http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=tables |
| Related Conditionals: converse, inverse, contrapositive |
Law of Contra-positive |
| http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=relcond |
| Truth Value of Compound Sentences |
|
| http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=compsent |
| Truth Value of Open Sentences |
|
| http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=opensent |
| Numbers & Numeration (5-10% of Regents Exam) |
| Rational & Irrational Numbers |
Rational & Irrational Numbers |
| http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=rational |
| Approximations of Irrational Numbers |
Rational & Irrational Numbers |
| http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=irrational |
| Properties of Real Numbers |
Rational & Irrational Numbers |
| http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=realnum |
| Rounding Numbers |
Round off Whole Numbers
Round off Decimals |
| http://regentsprep.org/Regents/math/rounding/rounding.htm |
Operations (15-20% of Regents Exam)
Algebraic Skills |
| Signed Numbers |
Basic Operations |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=signed |
| Order of Operations & Evaluating Expressions |
Order of Operations & Combining Terms |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=orderop |
| Addition & Subtraction of Polynomials |
Adding and Subtracting Polynomials |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=polyadd |
| Multiplication of Polynomials |
Polynomials |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=polymult |
| Division of Polynomials by Monomials |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=divpoly |
| Operations with Radicals |
Radical Functions |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=radicals |
| Scientific Notation |
Scientific Notation |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=scinot |
| Algebraic Fractions |
Multiplying and Dividing Fractions |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=fractions |
| Factoring |
Factoring |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=factor |
| Exponents |
Behavior of Exponents |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=exp |
| Transformations |
| Line Reflection |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=reflect |
| Translation |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=trans |
| Rotation |
Tessellations and Rotations |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=rotate |
| Dilation |
Properties of Isometrics |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=dilate |
| Line & Point Symmetry |
Symmetry |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=symmetry |
| Applications of Mathematics |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=apps |
Modeling/Multiple Representation (15-25% of Regents Exam)
Problem Solving with Algebra & Geometry |
| Algebraic Representations |
The Language of Mathematics |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=algrep |
| Triangle Inequalities |
Triangle Inequalities |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=triineq |
| Formulas & Literal Equations |
Geometric Formulas
Solving Basic Equations
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=formulas |
| Types of Angles (including Angles with Parallel Lines) |
Lines and Angles |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=angles |
| Sum of Interior & Exterior Angles of Polygons |
Exterior, Interior, and Corresponding Angles |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=poly |
| Study of Triangles |
Triangles |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=quad |
| Study of Quadrilaterals |
Quadrilaterals |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=quad |
| Geometric Constructions |
| Basic Constructions |
Construction |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=construc |
| Congruence |
Congruencies |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=congruen |
| Similarity |
Similarity |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=similar |
| Transformations in Coordinate Geometry |
| Reflection in a Line |
Transformations |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=coreflec |
| Reflection in a Point |
Transformations |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=copt |
| Translations |
Transformations |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=cotran |
| Using the Graphing Calculator to Examine Transformations |
|
| http://mathbits.com/MathBits/TISection/Algebra1/Transformations.htm |
| Locus |
| At a Fixed Distance from a Point |
Circles |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=locuspt |
| At a Fixed Distance from a Line |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=locuslin |
| Equidistant from Two Points |
Constructing Perpendicular Bisectors |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=locusTpt |
| Equidistant from Two Parallel Lines |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=locusPar |
| Equidistant from Two Intersecting Lines |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=locusInt |
| Compound Locus |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=locusCom |
Measurement (15-25% of Regents Exam)
Application of Formulas |
| Perimeter of Polygons & Circumference of Circles |
Perimeter Formulas |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=fperim |
| Area of Polygons & Circles |
Area Formulas |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=farea |
| Volume of Solids |
Volume Formulas |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=fsolid |
| Pythagorean Theorem |
Pythagorean Theorem |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=fpyth |
| Apply Appropriate Units & Tools |
| Metric/English Conversions |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=meteng |
| Use of Tools |
Duplicating Segments and Angles Measuring Angles |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=tools |
| Analyzing in 3-D |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=3-d |
| Statistics |
| Collecting & Organizing Data |
Collecting, Representing, and Displaying Data |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=data |
| Measures of Central Tendency: Mean-Mode-Median |
Measures of Central Tendencies |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=mean |
| Quartiles & Percentiles |
Quartiles, Deciles, and Percentiles |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=stats |
Right Triangle Trigonometry
Proportions |
| Ratio |
Ratios and Proportions |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=ratio |
| Proportions |
Ratios and Proportions |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=proport |
| Scale Drawing |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=scale |
| Percent |
Percent, Decimals & Fractions |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=percent |
| Similar Figures |
Similarity |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=sim-figs |
| Similar Polygons: Ratio of Perimeters & Areas |
Similarity |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=sim-poly |
| Comparison of Volumes of Similar Solids |
Proportions with Area and Volume |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=volumes |
| Direct Variation |
Direct Variation |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=variation |
| Applications in Coordinate Geometry |
| Absolute Value |
Absolute Value |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=absvalue |
| Length of a Line Segment - Distance |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=distance |
| Midpoint of a Segment |
Midpoint and Slope |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=midpoint |
| Equation of a Line |
Graphing Linear Equations - Part I Graphing Linear Equations - Part II |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=line-eq |
| Parallel & Perpendicular Lines |
Slope of Parallel and Perpendicular Lines |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=parallel |
| Error in Measurement |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=error |
Uncertainty (Probability) (5-10% of Regents Exam)
Theoretical versus Empirical Probability
Problems Involving Probability |
| Single & Compound Events |
Possible Outcomes of Compound Events |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=events |
| Problems Involving AND & OR |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=andor |
| Computing Probabilities |
| Mutually Exclusive & Independent Events |
Independent and Dependent Events |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=mutual |
| Counting Principle |
Possible Outcomes of Compound Events |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=counting |
| Sample Space |
Possible Outcomes of Compound Events |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=sampsp |
| Tree Diagrams |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=tree |
| Permutations & Combinations |
| Factorial Notation |
Factoring |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=factnot |
| Permutations: nPn & nPr |
Permutation and Combination |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=permut |
| Combinations: nCn & nCr |
Permutation and Combination |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=combin |
Patterns & Functions (15-25% of Regents Exam)
Represent & Analyze Functions |
| Solve Linear Equations with Integral, Fraction, or Decimal Coefficients * |
Equations |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=solveq |
| Solve Linear Inequalities |
Inequalities |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=solvin |
| Solve Factorable Quadratic Equations |
Quadratic Functions |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=FacEq |
| Graphs of Linear Equations: Slope & Intercept |
Graphing Linear Equations - Part I |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=glines |
| Graph Inequalitites |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=ginequal |
| Solve Systems of Linear Equations |
Systems of Equations |
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=syslin |
| Solve Systems of Inequalities |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=sysineq |
| Graphs of Conics: Circles & Parabolas |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=conics |
| Solve Quadratic-Linear Pair |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=linquad |
| Modeling Real World Situations with Functions |
|
| http://www.regentsprep.org/Regents/math/math-topic.cfm?TopicCode=modeling |