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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 5 A.N.1
Properties of Reals 6
Properties of Integers  
Binary Operations  
Set Theory 14 A.A.29
9 A.A.30
11 A.A.31
Classifying Numbers   7.N.17
Comparing Reals   6.N.15
Matrices   unassigned

GRAPHS AND STATISTICS
   
Frequency Histograms, Bar Graphs and Tables 4 A.S.5
5 A.S.9
Box-and-Whisker Plots 5 A.S.5
10 A.S.6
  A.S.9
Quartiles and Percentiles 2 A.S.11
Scatter Plots 3 A.S.7
3 A.S.8
8 A.S.12
5 A.S.17
Central Tendency 6 A.S.4
3 A.S.16
Average Known with Missing Data 1
Analysis of Data 10 A.S.1
5 A.S.2
9 A.S.3
2 A.S.13
5 A.S.14
Error 19 A.M.3
Circle Graphs   7.S.6
Relating Graphs to Events   8.A.3   8.A.4

PROBABILITY
   
Sample Space 10 A.S.19
Experimental Probability 5 A.S.21
Theoretical Probability 1 A.S.20
7 A.S.22
8 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 9 A.N.8

EXPRESSIONS AND EQUATIONS
   
Expressions 14 A.A.1
4 A.A.2
7 A.A.3
Solving Equations 7 A.A.22
Solving Equations with Fractional Expressions 7 A.A.25
Solving Equations with Decimals 1
Modeling Equations 3 A.A.4
4 A.A.5
2 A.A.6
Venn Diagrams 1
Speed  
Transforming Formulas 13 A.A.23

RATE
   
Using Rate 5 A.M.1
Speed 12
Conversions 10 A.M.2
Fractions   A.N.5
Percents 5
Direct Variation 2
Ratios  

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

INEQUALITIES
   
Solving Inequalities 6 A.A.24
Interpreting Solutions 7 A.A.21
Modeling Inequalities 2 A.A.4
7 A.A.5
7 A.A.6
Linear Inequalities 8 A.G.6

ABSOLUTE VALUE
   
Graphing Absolute Value Functions 2 A.G.4
6 A.G.5

QUADRATICS
   
Factoring Polynomials 7 A.A.20
Factoring the Difference of Perfect Squares 14 A.A.19
Solving Quadratics by Factoring 2 A.A.27
Roots of Quadratics 10 A.A.28
Graphing Quadratic Functions   A.G.4
6 A.G.5
Solving Quadratics by Graphing 7 A.G.8
Quadratic Functions 1 A.A.8
Writing Quadratics 4
Geometric Applications of Quadratics 3
Identifying the Vertex of a Quadratic Given Graph 9 A.G.10
Identifying the Vertex of a Quadratic Given Equation 8 A.A.41
Vertex Form of a Quadratic   A.G.4

SYSTEMS
   
Solving Linear Systems 11 A.A.10
4 A.G.7
Writing Linear Systems 14 A.A.7
Break Even  
Systems of Linear Inequalities 6 A.A.40
6 A.G.7
Quadratic-Linear Systems 7 A.A.11
13 A.G.9

POWERS
   
Addition and Subtraction of Monomials 1 A.A.13
Addition and Subtraction of Polynomials 12
Multiplication of Polynomials 2
Division of Polynomials 5 A.A.14
Multiplication of Powers 4 A.A.12
Division of Powers 8
Powers of Powers 5
Scientific Notation   7.N.5   7.N.6
Operations with Scientific Notation 8 A.N.4
Exponential Functions 16 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 9 A.N.3

RATIONALS
   
Rational Expressions 12 A.A.16
Undefined Rationals 12 A.A.15
Multiplication and Division of Rationals 8 A.A.18
Addition and Subtraction of Rationals 14 A.A.17
Solving Rationals 12 A.A.26

FUNCTIONS
   
Families of Functions 8 A.G.4
Identifying the Equation of a Graph 2
Defining Functions 14 A.G.3

TRIANGLES
   
Pythagorean Theorem 14 A.A.45

TRIGONOMETRY
   
Trigonometric Ratios 12 A.A.42
Using Trigonometry to Find a Side 9 A.A.44
Using Trigonometry to Find an Angle 11 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 18 A.G.1
Volume 9 A.G.2
Surface Area 7
INTEGRATED ALGEBRA
(above)
ALGEBRA 2 &
TRIGONOMETRY

(below)
741 QUICK TOPICS

GEOMETRY
   
Topic # Related Performance Indicators

LINEAR EQUATIONS
   
Parallel and Perpendicular Lines 12 G.G.62
14 G.G.63
7 G.G.64
13 G.G.65
Perpendicular Bisector 5 G.G.68

SYSTEMS
   
Quadratic-Linear Systems 15 G.G.70

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

ANGLES
   
Measuring Angles   7.M.8
Complementary, Supplementary and Vertical Angles   8.G.3
Parallel Lines and Transversals 11 G.G.35

TRIANGLES
   
Pythagorean Theorem 5 G.G.48
Interior and Exterior Angles of Triangles 13 G.G.30
Isosceles Triangle Theorem 11 G.G.31
Exterior Angle Theorem 11 G.G.32
Triangle Inequality Theorem 4 G.G.33
Angle Side Relationship 12 G.G.34
Side Splitter Theorem 8 G.G.46
Midsegments 13 G.G.42
Centroid, Orthocenter, Incenter and Circumcenter 9 G.G.21
9 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
9 G.G.37
Parallelograms 5 G.G.38
13 G.G.39
Trapezoids 13 G.G.40
Special Quadrilaterals 1 G.G.41
Quadrilaterals in the Coordinate Plane 9 G.G.69

CONICS
   
Chords 10 G.G.49
11 G.G.52
Tangents 12 G.G.50
Arcs Determined by Angles 11 G.G.51
Segments Intercepted by Circle 13 G.G.53
Equations of Circles 14 G.G.71
12 G.G.72
13 G.G.73
Graphing Circles 6 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
2 G.G.13
12 G.G.14
3 G.G.15
9 G.G.16
Similarity 13 G.G.45
12 G.G.47

TRANSFORMATIONS
   
Symmetry   5.G.11
Rotations 5 G.G.54
Reflections 5
Translations 3
Dilations 1 G.G.58
Compositions of Transformations 3 G.G.54
10 G.G.58
Properties of Transformations 14 G.G.55
1 G.G.57
5 G.G.59
Identifying Transformations 10 G.G.56
3 G.G.60
Analytical Representations of Transformations 2   G.G.61

LOGIC
   
Statements and Negations 12 G.G.24
Compound Statements 4 G.G.25
Conditional Statements 8 G.G.26
Triangle Congruency 8 G.G.28
9 G.G.29
Line Proofs 2 G.G.27
Angle Proofs 1
Triangle Proofs 5
Quadrilateral Proofs 7
Circle Proofs 3
Indirect Proofs  
Similarity Proofs 7 G.G.44
Mathematical Induction   unassigned
INTEGRATED ALGEBRA
(above)
GEOMETRY
(above)
608 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 6 A2.S.4
Regression 1 A2.S.6
6 A2.S.7
Correlation Coefficient 5 A2.S.8
Normal Distributions 8 A2.S.5

PROBABILITY
   
Permutations 8 A2.S.10
Combinations 4 A2.S.11
Differentiating Permutations and Combinations 5 A2.S.9
Sample Space 2 A2.S.12
Theoretical Probability   A2.S.13
Geometric Probability 1
Experimental Probability   A2.S.14
Binomial Probability 9 A2.S.15
  A2.S.16

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

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

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

POWERS
   
Operations with Polynomials 7 A2.N.3
Negative and Fractional Exponents 2 A2.N.1
4 A2.A.8
6 A2.A.9
Evaluating Exponential Expressions 5 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 7 A2.A.19
Logarithmic Equations 9 A2.A.28
Exponential Equations 4 A2.A.6
6 A2.A.27
Binomial Expansions 6 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 3 A2.N.2
2 A2.A.14
Rationalizing Denominators 4 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 4 A2.N.7
Conjugates of Complex Numbers 5 A2.N.8
Addition and Subtraction of Complex Numbers   A2.N.9
Multiplication and Division of Complex Numbers 3
Graphing Radicals   unassigned
Graphing Complex Numbers  

RATIONALS
   
Multiplication and Division of Rationals 3 A2.A.16
Addition and Subtraction of Rationals 1
Solving Rationals 4 A2.A.23
Rational Inequalities 1
Complex Fractions 5 A2.A.17
Inverse Variation 5 A2.A.5
Graphing Rationals   unassigned

FUNCTIONS
   
Functional Notation 1 A2.A.40 
2 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 2
Defining Functions   A2.A.37
6 A2.A.38
6 A2.A.43
Domain and Range 5 A2.A.39
5 A2.A.51
Compositions of Functions 7 A2.A.42
Inverse of Functions 2 A2.A.44
  A2.A.45
Transformations with Functions and Relations 3 A2.A.46

SEQUENCES AND SERIES
   
Sequences 4 A2.A.29
4 A2.A.30
3 A2.A.31
2 A2.A.32
2 A2.A.33
Sigma Notation 6 A2.N.10
4 A2.A.34
Series 4 A2.A.35
Area Under a Curve   unassigned

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

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

(above)
429 QUICK TOPICS
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