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To access Regents Worksheets, Practice Worksheets, Videos and other resources, click on the Performance Indicator in the third column below.  The number in the second column indicates how many times the Topic has appeared on an Integrated Algebra, Geometry or Algebra 2/Trigonometry Regents Exam.  To see the text of a Performance Indicator, hover your pointer over the P.I. in the third column.  For Integrated Algebra, Geometry and Algebra 2 & Trigonometry Lesson Plans, click here.
GEOMETRY
(below)
ALGEBRA 2 &
TRIGONOMETRY

(below)
  QUICK TOPICS

INTEGRATED ALGEBRA
   
Topic # Related Performance Indicators

NUMBERS, OPERATIONS AND PROPERTIES
 

 

Evaluating Expressions 10 A.N.6
Identifying Properties 7 A.N.1
Properties of Reals 6
Properties of Integers 1
Binary Operations  
Set Theory 16 A.A.29
9 A.A.30
14 A.A.31
Classifying Numbers   7.N.17
Comparing Reals   6.N.15
Matrices   unassigned

GRAPHS AND STATISTICS
   
Frequency Histograms, Bar Graphs and Tables 6 A.S.5
5 A.S.9
Box-and-Whisker Plots 6 A.S.5
11 A.S.6
  A.S.9
Quartiles and Percentiles 3 A.S.11
Scatter Plots 3 A.S.7
3 A.S.8
10 A.S.12
5 A.S.17
Central Tendency 8 A.S.4
3 A.S.16
Average Known with Missing Data 2
Analysis of Data 12 A.S.1
7 A.S.2
9 A.S.3
3 A.S.13
5 A.S.14
Error 21 A.M.3
Circle Graphs   7.S.6
Relating Graphs to Events   8.A.3   8.A.4

PROBABILITY
   
Sample Space 11 A.S.19
Experimental Probability 7 A.S.21
Theoretical Probability 1 A.S.20
7 A.S.22
10 A.S.23
Geometric Probability 3 A.S.20
2 A.S.22
2 A.S.23
Conditional Probability 3 A.S.18
Multiplication Counting Principle 4 A.N.7
Permutations 10 A.N.8

EXPRESSIONS AND EQUATIONS
   
Expressions 16 A.A.1
4 A.A.2
8 A.A.3
Solving Equations 7 A.A.22
Solving Equations with Fractional Expressions 7 A.A.25
Solving Equations with Decimals 2
Modeling Equations 4 A.A.4
5 A.A.5
2 A.A.6
Venn Diagrams 1
Speed  
Transforming Formulas 15 A.A.23

RATE
   
Using Rate 6 A.M.1
Speed 13
Conversions 13 A.M.2
Fractions   A.N.5
Percents 6
Direct Variation 2
Ratios  

LINEAR EQUATIONS
   
Slope 3 A.A.32
12 A.A.33
6 A.A.37
Graphing Linear Functions 1 A.G.4
  A.G.5
Writing Linear Equations 7 A.A.34
8 A.A.35
Identifying Points on a Line 6 A.A.39
Parallel and Perpendicular Lines 9 A.A.36
7 A.A.38
Linear Equations in Three Dimensions    unassigned

INEQUALITIES
   
Solving Inequalities 6 A.A.24
Interpreting Solutions 8 A.A.21
Modeling Inequalities 3 A.A.4
8 A.A.5
8 A.A.6
Linear Inequalities 9 A.G.6

ABSOLUTE VALUE
   
Graphing Absolute Value Functions 3 A.G.4
7 A.G.5

QUADRATICS
   
Factoring Polynomials 7 A.A.20
Factoring the Difference of Perfect Squares 15 A.A.19
Solving Quadratics by Factoring 2 A.A.27
Roots of Quadratics 12 A.A.28
Graphing Quadratic Functions   A.G.4
8 A.G.5
Solving Quadratics by Graphing 9 A.G.8
Quadratic Functions 2 A.A.8
Writing Quadratics 5
Geometric Applications of Quadratics 3
Identifying the Vertex of a Quadratic Given Graph 10 A.G.10
Identifying the Vertex of a Quadratic Given Equation 10 A.A.41
Vertex Form of a Quadratic   A.G.4

SYSTEMS
   
Solving Linear Systems 13 A.A.10
4 A.G.7
Writing Linear Systems 16 A.A.7
Break Even  
Systems of Linear Inequalities 6 A.A.40
8 A.G.7
Quadratic-Linear Systems 9 A.A.11
13 A.G.9

POWERS
   
Addition and Subtraction of Monomials 1 A.A.13
Addition and Subtraction of Polynomials 13
Multiplication of Polynomials 3
Division of Polynomials 5 A.A.14
Multiplication of Powers 4 A.A.12
Division of Powers 9
Powers of Powers 5
Scientific Notation   7.N.5   7.N.6
Operations with Scientific Notation 9 A.N.4
Exponential Functions 17 A.A.9
Graphing Exponential Functions 3 A.G.4
  A.G.5

RADICALS
   
Square Roots   7.N.15   7.N.18
Simplifying Radicals 10 A.N.2
Operations with Radicals 12 A.N.3

RATIONALS
   
Rational Expressions 12 A.A.16
Undefined Rationals 15 A.A.15
Multiplication and Division of Rationals 9 A.A.18
Addition and Subtraction of Rationals 16 A.A.17
Solving Rationals 15 A.A.26

FUNCTIONS
   
Families of Functions 8 A.G.4
Identifying the Equation of a Graph 2
Defining Functions 15 A.G.3

TRIANGLES
   
Pythagorean Theorem 15 A.A.45

TRIGONOMETRY
   
Trigonometric Ratios 14 A.A.42
Using Trigonometry to Find a Side 12 A.A.44
Using Trigonometry to Find an Angle 13 A.A.43

MEASURING IN THE PLANE AND SPACE
   
Perimeter   5.G.1
Area of Polygons   6.G.3
Circumference   7.G.1
Area of Circles  
Compositions of Polygons and Circles 21 A.G.1
Volume 12 A.G.2
Surface Area 8
INTEGRATED ALGEBRA
(above)
ALGEBRA 2 &
TRIGONOMETRY

(below)
897 QUICK TOPICS

GEOMETRY
   
Topic # Related Performance Indicators

LINEAR EQUATIONS
   
Parallel and Perpendicular Lines 14 G.G.62
17 G.G.63
9 G.G.64
16 G.G.65
Perpendicular Bisector 5 G.G.68

SYSTEMS
   
Quadratic-Linear Systems 18 G.G.70

TOOLS OF GEOMETRY
   
Points, Lines, Segments and Rays   4.G.2
Midpoint 16 G.G.66
Distance 17 G.G.67
Planes 7 G.G.1
3 G.G.2
6 G.G.3
1 G.G.4
2 G.G.5
  G.G.6
2 G.G.7
2 G.G.8
9 G.G.9
Solids 9 G.G.10
2 G.G.13
Constructions 14 G.G.17
10 G.G.18
9 G.G.19
7 G.G.20
Locus 11 G.G.22
16 G.G.23

ANGLES
   
Measuring Angles   7.M.8
Complementary, Supplementary and Vertical Angles   8.G.3
Parallel Lines and Transversals 13 G.G.35

TRIANGLES
   
Pythagorean Theorem 6 G.G.48
Interior and Exterior Angles of Triangles 15 G.G.30
Isosceles Triangle Theorem 13 G.G.31
Exterior Angle Theorem 13 G.G.32
Triangle Inequality Theorem 6 G.G.33
Angle Side Relationship 15 G.G.34
Side Splitter Theorem 10 G.G.46
Midsegments 15 G.G.42
Centroid, Orthocenter, Incenter and Circumcenter 11 G.G.21
11 G.G.43
Triangles in the Coordinate Plane 6 G.G.69

POLYGONS
   
Classifying Polygons   5.G.13
Interior and Exterior Angles of Polygons 5 G.G.36
13 G.G.37
Parallelograms 8 G.G.38
16 G.G.39
Trapezoids 14 G.G.40
Special Quadrilaterals 1 G.G.41
Quadrilaterals in the Coordinate Plane 10 G.G.69

CONICS
   
Chords 11 G.G.49
14 G.G.52
Tangents 13 G.G.50
Arcs Determined by Angles 13 G.G.51
Segments Intercepted by Circle 14 G.G.53
Equations of Circles 16 G.G.71
15 G.G.72
15 G.G.73
Graphing Circles 8 G.G.74
Foci of Conics   unassigned

MEASURING IN THE PLANE AND SPACE
   
Volume, Surface Area and Lateral Area 4 G.G.11
5 G.G.12
3 G.G.13
12 G.G.14
6 G.G.15
10 G.G.16
Similarity 14 G.G.45
15 G.G.47

TRANSFORMATIONS
   
Symmetry   5.G.11
Rotations 5 G.G.54
Reflections 6
Translations 3
Dilations 3 G.G.58
Compositions of Transformations 3 G.G.54
11 G.G.58
Properties of Transformations 17 G.G.55
1 G.G.57
5 G.G.59
Identifying Transformations 11 G.G.56
3 G.G.60
Analytical Representations of Transformations 6   G.G.61

LOGIC
   
Statements and Negations 14 G.G.24
Compound Statements 5 G.G.25
Conditional Statements 10 G.G.26
Triangle Congruency 8 G.G.28
9 G.G.29
Line Proofs 2 G.G.27
Angle Proofs 1
Triangle Proofs 7
Quadrilateral Proofs 8
Circle Proofs 3
Indirect Proofs  
Similarity Proofs 8 G.G.44
Mathematical Induction   unassigned
INTEGRATED ALGEBRA
(above)
GEOMETRY
(above)
760 QUICK TOPICS
ALGEBRA 2 & TRIGONOMETRY    
Topic # Related Performance Indicators

GRAPHS AND STATISTICS
   
Analysis of Data 5 A2.S.1
3 A2.S.2
Central Tendency   A2.S.3
Average Known with Missing Data 2
Dispersion 8 A2.S.4
Regression 1 A2.S.6
7 A2.S.7
Correlation Coefficient 6 A2.S.8
Normal Distributions 9 A2.S.5

PROBABILITY
   
Permutations 10 A2.S.10
Combinations 5 A2.S.11
Differentiating Permutations and Combinations 6 A2.S.9
Sample Space 2 A2.S.12
Theoretical Probability   A2.S.13
Geometric Probability 1
Experimental Probability   A2.S.14
Binomial Probability 11 A2.S.15
  A2.S.16

ABSOLUTE VALUE
Absolute Value Equations 2 A2.A.1
Absolute Value Inequalities 7

QUADRATICS
   
Roots of Quadratics 7 A2.A.20
5 A2.A.21
Factoring Polynomials 3 A2.A.7
Factoring the Difference of Perfect Squares 1
Factoring by Grouping 5
Quadratic Formula 5 A2.A.25
Using the Discriminant 8 A2.A.2
Completing the Square 6 A2.A.24
Quadratic Inequalities 4 A2.A.4

SYSTEMS
   
Quadratic-Linear Systems 5 A2.A.3
Other Nonlinear Systems   unassigned
Linear Systems in Three Dimensions  

POWERS
   
Operations with Polynomials 9 A2.N.3
Negative and Fractional Exponents 2 A2.N.1
4 A2.A.8
8 A2.A.9
Evaluating Exponential Expressions 6 A2.A.12
Evaluating Logarithmic Expressions 2 A2.A.18
Graphing Exponential Functions 3 A2.A.53
Graphing Logarithmic Functions 3 A2.A.54
Properties of Logarithms 8 A2.A.19
Logarithmic Equations 11 A2.A.28
Exponential Equations 4 A2.A.6
8 A2.A.27
Binomial Expansions 7 A2.A.36
Solving Polynomial Equations 5 A2.A.26
3 A2.A.50
Polynomial Functions   unassigned

RADICALS
   
Operations with Irrational Expressions 1 A2.N.4
Simplifying Radicals 2 A2.A.13
Operations with Radicals 4 A2.N.2
3 A2.A.14
Rationalizing Denominators A2.N.5
3 A2.A.15
Solving Radicals 6 A2.A.22
Exponents as Radicals 2 A2.A.10
1 A2.A.11
Square Roots of Negative Numbers 2 A2.N.6
Imaginary Numbers 5 A2.N.7
Conjugates of Complex Numbers 4 A2.N.8
Addition and Subtraction of Complex Numbers   A2.N.9
Multiplication and Division of Complex Numbers 6
Graphing Radicals   unassigned
Graphing Complex Numbers   unassigned

RATIONALS
   
Multiplication and Division of Rationals 4 A2.A.16
Addition and Subtraction of Rationals 1
Solving Rationals 5 A2.A.23
Rational Inequalities 1
Complex Fractions 5 A2.A.17
Inverse Variation 7 A2.A.5
Graphing Rationals   unassigned

FUNCTIONS
   
Functional Notation 1 A2.A.40 
3 A2.A.41
Families of Functions 1 A2.A.52
Graphing Functions and Relations  
Properties of Graphs of Functions and Relations 2
Identifying the Equation of a Graph 4
Defining Functions 1 A2.A.37
6 A2.A.38
7 A2.A.43
Domain and Range 6 A2.A.39
6 A2.A.51
Compositions of Functions 8 A2.A.42
Inverse of Functions 3 A2.A.44
  A2.A.45
Transformations with Functions and Relations 4 A2.A.46

SEQUENCES AND SERIES
   
Sequences 5 A2.A.29
4 A2.A.30
4 A2.A.31
2 A2.A.32
4 A2.A.33
Sigma Notation 7 A2.N.10
5 A2.A.34
Series 4 A2.A.35
Area Under a Curve   unassigned

TRIGONOMETRY
   
Trigonometric Ratios 6 A2.A.55
Radian Measure 2 A2.M.1
11 A2.M.2
Unit Circle 3 A2.A.60
Finding the Terminal Side of an Angle 2
Determining Trigonometric Functions 2 A2.A.56
3 A2.A.62
3 A2.A.66
Using Inverse Trigonometric Functions 5 A2.A.64
Reference Angles 1 A2.A.57
Arc Length 4 A2.A.61
Cofunction & Reciprocal Trigonometric Relationships 7 A2.A.58
1 A2.A.59
Proving Trigonometric Identities 3 A2.A.67
Angle Sum and Difference Identities 7 A2.A.76
Double and Half Angle Identities 6 A2.A.77
Trigonometric Equations 9 A2.A.68
Properties of Graphs of Trigonometric Functions 5 A2.A.69
Identifying the Equation of a Trigonometric Graph 5 A2.A.72
Graphing Trigonometric Functions 2 A2.A.65
1 A2.A.70
3 A2.A.71
Domain and Range 3 A2.A.63
Using Trigonometry to Find Area 11 A2.A.74
Heron's Formula  
Law of Sines 4 A2.A.73
Law of Sines - The Ambiguous Case 8 A2.A.75
Law of Cosines 6 A2.A.73
Vectors 3
Periodic Functions   unassigned
Trigonometric Inequalities   unassigned

CONICS
   
Equations of Circles 2 A2.A.47
1 A2.A.48
6 A2.A.49
GEOMETRY
(above)
ALGEBRA 2 &
TRIGONOMETRY

(above)
507 QUICK TOPICS
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