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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 A.SSE.A.1
Modeling Expressions 2
Identifying Properties 1 A.REI.A.1
Solving Linear Equations 2 A.REI.B.3
Direct Variation A.CED.A.1
Modeling Linear Equations 1
A.CED.A.2
Transforming Formulas 2 A.CED.A.4

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

LINEAR EQUATIONS
   
Modeling Linear Functions F.BF.A.1
F.LE.A.2
2 F.LE.B.5
Graphing Linear Functions A.CED.A.2
1 F.IF.B.4
Writing Linear Equations 2 A.REI.D.10

INEQUALITIES
   
Solving Linear Inequalities 2 A.REI.B.3
Interpreting Solutions
Modeling Linear Inequalities A.CED.A.1
A.CED.A.3
Graphing Linear Inequalities A.REI.D.12

QUADRATICS
   
Solving Quadratics 5 A.REI.B.4
Using the Discriminant
Modeling Quadratics A.CED.A.1
Geometric Applications of Quadratics
Vertex Form of a Quadratic F.IF.C.8
Graphing Quadratic Functions 2 F.IF.B.4
1 F.IF.C.7
Modeling Quadratic Functions F.BF.A.1
Comparing Quadratic Functions 1 F.IF.C.9

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

POLYNOMIALS
   
Identifying Solutions A.REI.D.10
Operations with Polynomials 4 A.APR.A.1
Factoring Polynomials 1 A.SSE.A.2
Factoring the Difference of Perfect Squares 2
Zeros of Polynomials 2 A.APR.B.3

RADICALS
   
Simplifying Radicals N.RN.B.3
Operations with Radicals 5
Graphing Root Functions F.IF.C.7

SYSTEMS
   
Modeling Linear Systems 2 A.CED.A.3
Solving Linear Systems A.REI.C.6
Graphing Linear Systems
Modeling Systems of Linear Inequalities 1 A.CED.A.3
Graphing Systems of Linear Inequalities 2 A.REI.D.12
Quadratic-Linear Systems 3 A.REI.C.7
2 A.REI.D.11
Other Systems

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

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

GRAPHS AND STATISTICS
   
Central Tendency and Dispersion S.ID.A.2
S.ID.A.3
Frequency Tables 2 S.ID.B.5
Frequency Histograms S.ID.A.1
Box Plots 1
Dot Plots 2
Stem-and-Leaf Plots
Circle Graphs
Scatter Plots S.ID.B.6
Analysis of Data S.ID.C.9
Regression 2 S.ID.B.6
Correlation Coefficient S.ID.C.8
75
 

GEOMETRY
   
TOPIC
Subtopic
# State Standard

TOOLS OF GEOMETRY

 
 
Planes G.CO.A.1
Solids G.MG.A.1
Rotations of Two-Dimensional Objects 18 G.GMD.B.4
Cross-Sections of Three-Dimensional Objects 15
Constructions 20 G.CO.D.12
8 G.CO.D.13

LINES AND ANGLES

 
 
Midpoint G.CO.A.1
Distance
Directed Line Segments 24 G.GPE.B.6
Lines and Angles 13 G.CO.C.9
Parallel and Perpendicular Lines 21 G.GPE.B.5

TRIANGLES

 
 
Pythagorean Theorem G.SRT.C.8
30-60-90 Triangles 3
Isosceles Triangle Theorem 2 G.SRT.B.5
Side Splitter Theorem 26
Interior and Exterior Angles of Triangles 6 G.CO.C.10
Exterior Angle Theorem 5
Triangle Inequality Theorem 1
Angle Side Relationship 2
Midsegments 6
Medians, Altitudes and Bisectors 4
Centroid, Orthocenter, Incenter and Circumcenter 5
Triangles in the Coordinate Plane 10 G.GPE.B.4

POLYGONS

 
 
Interior and Exterior Angles of Polygons 15 G.CO.C.11
Parallelograms 13
Trapezoids 2
Special Quadrilaterals 21
Quadrilaterals in the Coordinate Plane 21 G.GPE.B.4
Polygons in the Coordinate Plane 15 G.GPE.B.7

CONICS

 
 
Chords, Secants and Tangents 37 G.C.A.2
Equations of Circles 24 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 3 G.C.B.5
Sectors 21
Volume 3 G.GMD.A.1
60 G.GMD.A.3
Density 28 G.MG.A.2

TRANSFORMATIONS

 
 
Line Dilations 34 G.SRT.A.1
Symmetry G.CO.A.5
Rotations 2
Reflections 2
Translations
Dilations 18 G.SRT.A.2
Mapping a Polygon onto Itself 24 G.CO.A.3
Compositions of Transformations 28 G.CO.A.5
7 G.SRT.A.2
Properties of Transformations 18 G.CO.B.6
Identifying Transformations 15 G.CO.A.2
Analytical Representations of Transformations 4
Similarity 52 G.SRT.B.5

TRIGONOMETRY

 
 
Trigonometric Ratios 6 G.SRT.C.6
Cofunctions

25

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

41

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

21

Using Trigonometry to Find Area 1 G.SRT.D.9

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 5 G.CO.C.10
13 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

21

F.IF.B.6

QUADRATICS
   
Square Roots of Negative Numbers N.CN.A.2
Imaginary Numbers N.CN.A.1
Operations with Complex Numbers 21 N.CN.A.2
Solving Quadratics 16 A.REI.B.4
Using the Discriminant 6
Complex Conjugate Root Theorem 2
Graphing Quadratic Functions 19 G.GPE.A.2

POLYNOMIALS
   
Factoring Polynomials 26 A.SSE.A.2
Solving Polynomial Equations 11 A.APR.B.3
Graphing Polynomial Functions 7
11 F.IF.B.4
14 F.IF.C.7
Remainder and Factor Theorems 22 A.APR.B.2
Polynomial Identities 15 A.APR.C.4

RADICALS
   
Simplifying Radicals N.RN.A.2
Operations with Radicals 5
Solving Radicals 21 A.REI.A.2
Radicals and Rational Exponents 4 N.RN.A.1
25 N.RN.A.2
Graphing Root Functions F.IF.C.7

POWERS
   
Modeling Exponential Functions 17 A.SSE.B.3
10 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 12 F.IF.C.7
Graphing Logarithmic Functions 14
Express Exponentials as Logarithms 1 F.LE.A.4
Exponential Equations, Exponential Growth, Exponential Decay 21
10 A.CED.A.1

RATIONALS
   
Undefined Rationals 1 A.APR.D.6
Expressions with Negative Exponents 2
Rational Expressions 27
Division of Polynomials
Multiplication and Division of Rationals A.APR.D.7
Addition and Subtraction of Rationals 4
Modeling Rationals 6 A.CED.A.1
Solving Rationals 22 A.REI.A.2

SYSTEMS
   
Solving Linear Systems 13 A.REI.C.6
Quadratic-Linear Systems 18 A.REI.C.7
1 A.REI.D.11
Other Systems 28

FUNCTIONS
   
Operations with Functions 13 F.BF.A.1
Families of Functions 3 F.LE.A.2
Transformations with Functions 3 F.BF.B.3
Even and Odd Functions 8
Inverse of Functions 18 F.BF.B.4
Comparing Functions 8 F.IF.C.9

SEQUENCES AND SERIES
   
Sequences 8 F.IF.A.3
23 F.BF.A.2
Sigma Notation 2 F.BF.B.6
Series 16 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 5
10 F.TF.C.8
Proving Trigonometric Identities 1
Modeling Trigonometric Functions 7 F.TF.B.5
Graphing Trigonometric Functions 15 F.IF.B.4
24 F.IF.C.7

CONICS
   
Equations of Circles

1

G.GPE.A.1

PROBABILITY
   
Set Theory S.CP.A.1
Venn Diagrams
Probability of Compound Events 3 S.CP.A.2
Addition Rule 8 S.CP.B.7
Conditional Probability 10 S.CP.A.3
14 S.CP.A.4

GRAPHS AND STATISTICS
   
Analysis of Data 15 S.IC.A.2
13 S.IC.B.3
4 S.IC.B.4
11 S.IC.B.5
16 S.IC.B.6
Regression 10 S.ID.B.6
Normal Distributions 21 S.ID.A.4

 

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

INEQUALITIES
   
Compound Inequalities A.CED.A.1

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

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
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
Inscribed Quadrilaterals G.C.A.3

GRAPHS AND STATISTICS
   
Residuals S.ID.B.6

PROBABILITY
   
Multiplication Counting Principle   S.CP.B.9
Permutations
Combinations
Differentiating Permutations and Combinations
Binomial Probability
AI
(above)
GEO
(above)
AII
(above)
   
 
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