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To access Regents, Practice and Journal Worksheets, Lesson Plans and other resources, click on the State Standard in the last column.  To see the text of a State Standard, hover your pointer over the Standard. The number in the second column indicates how many times the subtopic has appeared on the current High School Regents Exams.
 
GRADES 6-8
   
TOPIC
Subtopic
  State Standard

NUMBERS, OPERATIONS AND PROPERTIES
   
Order of Operations   6.EE.A.2
Evaluating Expressions
Comparing Reals   8.NS.A.2
Classifying Numbers   8.NS.A.1

RATE
   
Percents   7.RP.A.3
Error  

POWERS
   
Scientific Notation   8.EE.A.3
Operations with Scientific Notation   8.EE.A.4

RADICALS
   
Square Roots   8.NS.A.2

GRAPHS AND STATISTICS
   
Average Known with Missing Data   6.SP.B.5
Central Tendency and Dispersion  

PROBABILITY
   
Sample Space   7.SP.C.8
Theoretical Probability   6.SP.C.8
Geometric Probability  
Experimental Probability   6.SP.C.7

 

ALGEBRA I
   
TOPIC
Subtopic
# State Standard

EXPRESSIONS AND EQUATIONS
   
Dependent and Independent Variables

1

A.SSE.A.1
Modeling Expressions

18

Identifying Properties

8

A.REI.A.1
Solving Linear Equations

16

A.REI.B.3
Direct Variation   A.CED.A.1
Modeling Linear Equations

9

4

A.CED.A.2
Transforming Formulas

26

A.CED.A.4

RATE
   
Conversions 17 N.Q.A.1
Using Rate 2
Speed 4 A.CED.A.2
Rate of Change 24 F.IF.B.6

LINEAR EQUATIONS
   
Modeling Linear Functions 8 F.BF.A.1
3 F.LE.A.2
13 F.LE.B.5
Graphing Linear Functions

4

A.CED.A.2

5

F.IF.B.4
Writing Linear Equations

5

A.REI.D.10

INEQUALITIES
   
Solving Linear Inequalities 15 A.REI.B.3
Interpreting Solutions 7
Modeling Linear Inequalities 9 A.CED.A.1
5 A.CED.A.3
Graphing Linear Inequalities 7 A.REI.D.12

QUADRATICS
   
Solving Quadratics 57 A.REI.B.4
Using the Discriminant 3
Modeling Quadratics 2 A.CED.A.1
Geometric Applications of Quadratics 12
Vertex Form of a Quadratic 10 F.IF.C.8
Graphing Quadratic Functions 18 F.IF.B.4
6 F.IF.C.7
Modeling Quadratic Functions   F.BF.A.1
Comparing Quadratic Functions 11 F.IF.C.9

POWERS
   
Multiplication of Powers   A.APR.A.1
Division of Powers  
Powers of Powers 3
Modeling Exponential Functions 12 A.SSE.B.3
5 A.CED.A.1
8 F.BF.A.1
5 F.LE.A.2
13 F.LE.B.5
Graphing Exponential Functions 1 F.IF.C.7

POLYNOMIALS
   
Identifying Solutions 13 A.REI.D.10
Operations with Polynomials 34 A.APR.A.1
Factoring Polynomials 14 A.SSE.A.2
Factoring the Difference of Perfect Squares 18
Zeros of Polynomials 17 A.APR.B.3
Graphing Polynomial Functions 18
F.BF.B.3

RADICALS
   
Simplifying Radicals   N.RN.B.3
Operations with Radicals 25
Graphing Root Functions 6 F.IF.C.7

SYSTEMS
   
Solving Linear Systems 15 A.REI.C.6
Modeling Linear Systems 22 A.CED.A.3
Graphing Linear Systems 8 A.REI.C.6
Modeling Systems of Linear Inequalities 9 A.CED.A.3
Graphing Systems of Linear Inequalities 21 A.REI.D.12
Quadratic-Linear Systems 2 A.REI.C.7
9 A.REI.D.11
Other Systems 13

FUNCTIONS
   
Defining Functions 20 F.IF.A.1
Functional Notation 20 F.IF.A.2
Evaluating Functions 1
Domain and Range 14
20 F.IF.B.5
Operations with Functions 2 F.BF.A.1
Families of Functions 32 F.LE.A.1
3 F.LE.A.2
8 F.LE.A.3
Transformations with Functions 1 F.BF.B.3
Comparing Functions 12 F.IF.C.9
Relating Graphs to Events 13 F.IF.B.4
Graphing Absolute Value Functions 4 F.IF.C.7
4 F.BF.B.3
Graphing Piecewise-Defined Functions 9 F.IF.C.7
Graphing Step Functions 2

SEQUENCES AND SERIES
   
Sequences 6 F.IF.A.3
11 F.BF.A.1

GRAPHS AND STATISTICS
   
Central Tendency and Dispersion 10 S.ID.A.2
3 S.ID.A.3
Frequency Tables 15 S.ID.B.5
Frequency Histograms 1 S.ID.A.1
Box Plots 8
Dot Plots 3
Stem-and-Leaf Plots  
Circle Graphs  
Scatter Plots 1 S.ID.B.6
Analysis of Data 5 S.ID.C.9
Regression 16 S.ID.B.6
Correlation Coefficient 9 S.ID.C.8
 

GEOMETRY
   
TOPIC
Subtopic
# State Standard

TOOLS OF GEOMETRY

 
 
Planes   G.CO.A.1
Solids   G.MG.A.1
Rotations of Two-Dimensional Objects 17 G.GMD.B.4
Cross-Sections of Three-Dimensional Objects 13
Constructions 19 G.CO.D.12
7 G.CO.D.13

LINES AND ANGLES

 
 
Midpoint   G.CO.A.1
Distance  
Directed Line Segments 22 G.GPE.B.6
Lines and Angles 12 G.CO.C.9
Parallel and Perpendicular Lines 19 G.GPE.B.5

TRIANGLES

 
 
Pythagorean Theorem   G.SRT.C.8
30-60-90 Triangles 2
Isosceles Triangle Theorem 2 G.SRT.B.5
Side Splitter Theorem 24
Interior and Exterior Angles of Triangles 4 G.CO.C.10
Exterior Angle Theorem 6
Triangle Inequality Theorem  
Angle Side Relationship 2
Midsegments 6
Medians, Altitudes and Bisectors 4
Centroid, Orthocenter, Incenter and Circumcenter 4
Triangles in the Coordinate Plane 9 G.GPE.B.4

POLYGONS

 
 
Interior and Exterior Angles of Polygons 15 G.CO.C.11
Parallelograms 12
Trapezoids 2
Special Quadrilaterals 18
Quadrilaterals in the Coordinate Plane 20 G.GPE.B.4
Polygons in the Coordinate Plane 14 G.GPE.B.7

CONICS

 
 
Chords, Secants and Tangents 34 G.C.A.2
Inscribed Quadrilaterals 5 G.C.A.3
Equations of Circles 22 G.GPE.A.1
Circles in the Coordinate Plane 3 G.GPE.B.4

MEASURING IN THE PLANE AND SPACE


 
 
Perimeter   G.MG.A.3
Area of Polygons 3
Heron's Formula  
Surface Area and Lateral Area 1
Circumference 2 G.GMD.A.1
Area of Circles  
Compositions of Polygons and Circles 4 G.MG.A.3
Arc Length 4 G.C.B.5
Sectors 21
Volume 3 G.GMD.A.1
54 G.GMD.A.3
Density 27 G.MG.A.2

TRANSFORMATIONS

 
 
Line Dilations 31 G.SRT.A.1
Symmetry   G.CO.A.5
Rotations 2
Reflections 2
Translations  
Dilations 16 G.SRT.A.2
Mapping a Polygon onto Itself 22 G.CO.A.3
Compositions of Transformations 26 G.CO.A.5
8 G.SRT.A.2
Properties of Transformations 15 G.CO.B.6
Identifying Transformations 14 G.CO.A.2
Analytical Representations of Transformations 3
Similarity 47 G.SRT.B.5

TRIGONOMETRY

 
 
Trigonometric Ratios 6 G.SRT.C.6
Cofunctions

23

G.SRT.C.7
Using Trigonometry to Find a Side

38

G.SRT.C.8
Using Trigonometry to Find an Angle

19


LOGIC

 
 
Line and Angle Proofs   G.CO.C.9
Triangle Congruency 13 G.CO.B.7
1 G.CO.B.8
4 G.SRT.B.5
Triangle Proofs 4 G.CO.C.10
12 G.SRT.B.5
Quadrilateral Proofs 3 G.CO.C.11
13 G.SRT.B.5
Circle Proofs 3
Similarity Proofs 7 G.SRT.A.3
1 G.C.A.1

 

ALGEBRA II
   
TOPIC
Subtopic
# State Standard

RATE
   
Rate of Change

19

F.IF.B.6

QUADRATICS
   
Solving Quadratics 14 A.REI.B.4
Using the Discriminant 5
Complex Conjugate Root Theorem 2
Graphing Quadratic Functions 17 G.GPE.A.2

POLYNOMIALS
   
Factoring Polynomials 22 A.SSE.A.2
Solving Polynomial Equations 10 A.APR.B.3
Graphing Polynomial Functions 7
1 F.BF.B.3
11 F.IF.B.4
13 F.IF.C.7
Remainder and Factor Theorems 19 A.APR.B.2
Polynomial Identities 13 A.APR.C.4

RADICALS
   
Simplifying Radicals   N.RN.A.2
Operations with Radicals 5
Solving Radicals 19 A.REI.A.2
Radicals and Rational Exponents 4 N.RN.A.1
22 N.RN.A.2
Graphing Root Functions   F.IF.C.7
Square Roots of Negative Numbers   N.CN.A.2
Imaginary Numbers   N.CN.A.1
Operations with Complex Numbers 19 N.CN.A.2

POWERS
   
Modeling Exponential Functions 15 A.SSE.B.3
8 F.BF.A.1
5 F.LE.A.2
7 F.LE.B.5
Evaluating Exponential Expressions 7 F.IF.B.4
Evaluating Logarithmic Expressions 1
Graphing Exponential Functions 10 F.IF.C.7
Graphing Logarithmic Functions 11
Express Exponentials as Logarithms 1 F.LE.A.4
Exponential Equations, Exponential Growth, Exponential Decay 19
8 A.CED.A.1

RATIONALS
   
Undefined Rationals 1 A.APR.D.6
Expressions with Negative Exponents 2
Rational Expressions 26
Division of Polynomials  
Multiplication and Division of Rationals   A.APR.D.7
Addition and Subtraction of Rationals 4
Modeling Rationals 5 A.CED.A.1
Solving Rationals 20 A.REI.A.2

SYSTEMS
   
Solving Linear Systems 11 A.REI.C.6
Quadratic-Linear Systems 16 A.REI.C.7
1 A.REI.D.11
Other Systems 26

FUNCTIONS
   
Operations with Functions 11 F.BF.A.1
Families of Functions 3 F.LE.A.2
Comparing Functions 8 F.IF.C.9
Transformations with Functions 2 F.BF.B.3
Even and Odd Functions 7
Inverse of Functions 16 F.BF.B.4

SEQUENCES AND SERIES
   
Sequences 10 F.BF.A.1
3 F.IF.A.3
17 F.BF.A.2
Sigma Notation 2 F.BF.B.6
Series 14 A.SSE.B.4
  F.BF.B.6

TRIGONOMETRY
   
Radian Measure   F.TF.A.1
Unit Circle 2
3 F.TF.A.2
Reciprocal Trigonometric Relationships 1
Finding the Terminal Side of an Angle 1
Reference Angles 1
Determining Trigonometric Functions 4
9 F.TF.C.8
Proving Trigonometric Identities 1
Modeling Trigonometric Functions 5 F.TF.B.5
Graphing Trigonometric Functions 15 F.IF.B.4
22 F.IF.C.7

CONICS
   
Equations of Circles

1

G.GPE.A.1

GRAPHS AND STATISTICS
   
Analysis of Data 13 S.IC.A.2
21 S.IC.B.3
7 S.IC.B.4
11 S.IC.B.5
3 S.IC.B.6
Regression 8 S.ID.B.6
Normal Distributions 19 S.ID.A.4

PROBABILITY
   
Theoretical Probability 3 S.CP.B.7
Probability of Compound Events 4 S.CP.A.2
Set Theory   S.CP.A.1
Venn Diagrams 2
Conditional Probability 7 S.CP.A.3
12 S.CP.A.4
3 S.CP.B.6

 

PRECALCULUS
   
TOPIC
Subtopic
  State Standard

NUMBERS, OPERATIONS AND PROPERTIES
   
Matrices   N.VM.C.6   N.VM.C.7   N.VM.C.8   N.VM.C.11   N.VM.C.12   A.REI.C.9

ABSOLUTE VALUE
   
Absolute Value Equations   A.REI.D.11
Absolute Value Inequalities

INEQUALITIES
   
Compound Inequalities   A.CED.A.1

QUADRATICS
   
Roots of Quadratics   A.REI.B.4
Quadratic Inequalities   A.REI.D.11

POWERS
   
Properties of Logarithms   F.BF.B.5
Logarithmic Equations F.BF.B.5   F.LE.A.4
Binomial Expansions   A.APR.C.5

RADICALS
   
Conjugates of Complex Numbers   N.CN.A.3
Division of Complex Numbers
Moduli of Complex Numbers
Graphing Complex Numbers   N.CN.B.4   N.CN.B.5

RATIONALS
   
Graphing Rationals   F.IF.C.7
Complex Fractions   A.APR.D.7
Rationalizing Denominators
Inverse Variation
Rational Inequalities

SYSTEMS
   
Other Systems   G.GPE.A.3

FUNCTIONS
   
Defining Functions   F.BF.B.3
Domain and Range   F.IF.A.2
Inverse of Functions   F.BF.B.4
Compositions of Functions   F.BF.A.1

SEQUENCES AND SERIES
   
Series   A.SSE.B.4

TRIGONOMETRY
   
Graphing Trigonometric Functions   F.TF.B.6
Domain and Range
Angle Sum and Difference Identities   F.TF.C.9
Double and Half Angle Identities
Using Inverse Trigonometric Functions   F.TF.B.7
Trigonometric Equations  
Using Trigonometry to Find Area   G.SRT.D.9
Law of Sines   G.SRT.D.11
Law of Sines - The Ambiguous Case   G.SRT.D.10
Law of Cosines   G.SRT.D.11
Vectors   N.VM.A.3   G.SRT.D.11

CONICS
   
Equations of Conics   G.GPE.A.3
Other Systems

GRAPHS AND STATISTICS
   
Residuals   S.ID.B.6

PROBABILITY
   
Multiplication Counting Principle   S.CP.B.9
Permutations
Combinations
Differentiating Permutations and Combinations
Binomial Probability
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