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To access Regents, Practice and Journal Worksheets, Lesson Plans, Videos and other resources, click on the State Standard in the third column below.  To see the text of a State Standard, hover your pointer over the Standard.  Resources related to the Common Core State Standards are highlighted.  The number in the second column indicates how many times the Topic has appeared on a High School CCSS Regents Exam.
GEO
(below)
AII
(below)
PRECALCULUS
(below)
  QUICK TOPICS

ALGEBRA I
  CCSS ALGEBRA I LESSON PLANS
(zipped)
PDF   DOC
Topic # State Standard

NUMBERS, OPERATIONS AND PROPERTIES
 

 

Modeling Expressions   6.EE.A.2
Order of Operations
Evaluating Expressions
Comparing Reals   8.NS.A.2
Classifying Numbers   8.NS.A.1
Identifying Properties 1 A.REI.A.1
Set Theory   S.CP.A.1

GRAPHS AND STATISTICS
   
Central Tendency and Dispersion   6.SP.B.5
5 S.ID.A.2
2 S.ID.A.3
Frequency Tables 5 S.ID.B.5
Frequency Histograms   S.ID.A.1
Box Plots 2
Dot Plots 1
Scatter Plots   S.ID.B.6
Analysis of Data 2 S.ID.C.9
Regression 7 S.ID.B.6
Correlation Coefficient and Residuals 5 S.ID.B.6
6 S.ID.C.8

EXPRESSIONS AND EQUATIONS
   
Dependent and Independent Variables 1 A.SSE.A.1
Modeling Expressions 4
Solving Linear Equations 3 A.REI.B.3
Direct Variation   A.CED.A.1
Modeling Linear Equations 5
1 A.CED.A.2
2 A.CED.A.3
Transforming Formulas 10 A.CED.A.4

RATE
   
Percents   7.RP.A.3
Error  
Using Rate 1 N.Q.A.2
Speed 1 A.CED.A.2
Rate of Change 13 F.IF.B.6
Conversions 5 N.Q.A.1

LINEAR EQUATIONS
   
Modeling Linear Functions 4 F.BF.A.1
3 F.LE.A.2
6 F.LE.B.5
2 S.ID.C.7
Graphing Linear Functions 3 A.CED.A.2
1 F.BF.B.3
2 F.IF.B.4
Writing Linear Equations 1 A.REI.D.10
Identifying Solutions 4

INEQUALITIES
   
Solving Linear Inequalities 5 A.REI.B.3
Interpreting Solutions 5
Modeling Linear Inequalities 4 A.CED.A.1
1 A.CED.A.3
Graphing Linear Inequalities 6 A.REI.D.12

ABSOLUTE VALUE
   
Graphing Absolute Value Functions 2 F.IF.C.7
3 F.BF.B.3

QUADRATICS
   
Solving Quadratics 9 A.SSE.B.3
25 A.REI.B.4
Using the Discriminant 1
Graphing Quadratic Functions 10 F.IF.B.4
  F.IF.C.7
Modeling Quadratics 1 A.CED.A.1
Geometric Applications of Quadratics 8
Vertex Form of a Quadratic 5 F.IF.C.8

SYSTEMS
   
Solving Linear Systems 4 A.REI.C.5
4 A.REI.C.6
Modeling Linear Systems 9 A.CED.A.3
Graphing Linear Systems 5 A.REI.C.6
Modeling Systems of Linear Inequalities 5 A.CED.A.3
Graphing Systems of Linear Inequalities 8 A.REI.D.12
Quadratic-Linear Systems   A.REI.C.7
6 A.REI.D.11
Other Systems 6

POWERS
   
Multiplication of Powers   8.EE.A.1
Division of Powers  
Powers of Powers  
Scientific Notation   8.EE.A.3
Operations with Scientific Notation   8.EE.A.4
Modeling Exponential Functions 4 A.SSE.B.3
1 A.CED.A.1
4 F.BF.A.1
3 F.LE.A.2
8 F.LE.B.5
Graphing Exponential Functions   F.IF.C.7

POLYNOMIALS
   
Operations with Polynomials 11 A.APR.A.1
Factoring Polynomials 4 A.SSE.A.2
Factoring the Difference of Perfect Squares 6
Zeros of Polynomials 11 A.APR.B.3
Graphing Polynomial Functions 6 F.BF.B.3

RADICALS
   
Simplifying Radicals   N.RN.B.3
Operations with Radicals 10
Graphing Root Functions 4 F.IF.C.7

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

SEQUENCES AND SERIES
   
Sequences 4 F.IF.A.3
8 F.LE.A.2
AI
(above)
AII
(below)
PRECALCULUS
(below)
393 QUICK TOPICS

GEOMETRY
   
Topic # State Standard

TOOLS OF GEOMETRY
   
Planes   G.CO.A.1
Solids   G.MG.A.1
Rotations of Two-Dimensional Objects 5 G.GMD.B.4
Cross-Sections of Three-Dimensional Objects 4
Constructions 7 G.CO.D.12
4 G.CO.D.13

LINES AND ANGLES
   
Midpoint   G.CO.A.1
Distance  
Directed Line Segments 8 G.GPE.B.6
Lines and Angles 6 G.CO.C.9
Parallel and Perpendicular Lines 7 G.GPE.B.5

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

POLYGONS
   
Interior and Exterior Angles of Polygons   G.CO.C.11
Parallelograms 7
Trapezoids  
Special Quadrilaterals 5
Quadrilaterals in the Coordinate Plane 7 G.GPE.B.4
Polygons in the Coordinate Plane 4 G.GPE.B.7

CONICS
   
Chords, Secants and Tangents 12 G.C.A.2
Inscribed Quadrilaterals 1 G.C.A.3
Equations of Circles 8 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 1
Heron's Formula  
Surface Area and Lateral Area 1
Circumference 2 G.GMD.A.1
Area of Circles  
Compositions of Polygons and Circles   G.MG.A.3
Arc Length 2 G.C.B.5
Sectors 8
Volume 2 G.GMD.A.1
15 G.GMD.A.3
Density 14 G.MG.A.2
Similarity 17 G.SRT.B.5

TRANSFORMATIONS
   
Line Dilations 12 G.SRT.A.1
Symmetry   G.CO.A.5
Rotations 2
Reflections 1
Translations  
Dilations 5 G.SRT.A.2
Mapping a Polygon onto Itself 6 G.CO.A.3
Compositions of Transformations 9 G.CO.A.5
6 G.SRT.A.2
Properties of Transformations 3 G.CO.B.6
Identifying Transformations 8 G.CO.A.2
Analytical Representations of Transformations 1

TRIGONOMETRY
   
Trigonometric Ratios 2 G.SRT.C.6
Cofunctions 9 G.SRT.C.7
Using Trigonometry to Find a Side 12 G.SRT.C.8
Using Trigonometry to Find an Angle 6

LOGIC
   
Line and Angle Proofs   G.CO.C.9
Triangle Congruency 8 G.CO.B.7
1 G.CO.B.8
1 G.SRT.B.5
Triangle Proofs 4 G.CO.C.10
4 G.SRT.B.5
Quadrilateral Proofs 2 G.CO.C.11
4 G.SRT.B.5
Circle Proofs 2
Similarity Proofs 3 G.SRT.A.3
1 G.C.A.1
AI
(above)
GEO
(above)
PRECALCULUS
(below)
  QUICK TOPICS

ALGEBRA II
   
Topic # State Standard

GRAPHS AND STATISTICS
   
Analysis of Data 3 S.IC.A.2
4 S.IC.B.3
2 S.IC.B.4
5 S.IC.B.5
1 S.IC.B.6
Regression 1 S.ID.B.6
Normal Distributions 5 S.ID.A.4

PROBABILITY
   
Venn Diagrams   S.CP.A.1
Sample Space   7.SP.C.8
Probability Models   7.SP.C.7
Theoretical Probability 2 7.SP.C.5   S.CP.A.2
2 S.CP.B.7
Geometric Probability   7.SP.C.5
Experimental Probability   7.SP.C.6
Probability of Compound Events   7.SP.C.8
Conditional Probability 1 S.CP.A.3
4 S.CP.A.4
1 S.CP.B.6

RATE
   
Rate of Change 5 F.IF.B.6

QUADRATICS
   
Solving Quadratics 4 A.REI.B.4
Complex Conjugate Root Theorem 1
Using the Discriminant  
Roots of Quadratics  
Graphing Quadratic Functions 4 G.GPE.A.2

SYSTEMS
   
Solving Linear Systems 3 A.REI.C.6
Quadratic-Linear Systems 3 A.REI.C.7
1 A.REI.D.11
Other Systems 7

POWERS
   
Modeling Exponential Functions 2 A.SSE.B.3
2 F.IF.C.8
3 F.BF.A.1
2 F.LE.A.2
2 F.LE.B.5
Evaluating Exponential Expressions   F.IF.B.4
Evaluating Logarithmic Expressions 1
Graphing Exponential Functions   F.BF.B.3
1 F.IF.C.7
Graphing Logarithmic Functions 2
Exponential Equations 2 A.CED.A.1
5 F.LE.A.4

POLYNOMIALS
   
Factoring Polynomials 6 A.SSE.A.2
Solving Polynomial Equations   A.APR.B.3
Zeros of Polynomials 5
Graphing Polynomial Functions 1 F.IF.B.4
1 F.IF.C.7
Remainder Theorem 7 A.APR.B.2
Polynomial Identities 4 A.APR.C.4

RADICALS
   
Simplifying Radicals   N.RN.A.2
Operations with Radicals 1
Solving Radicals 5 A.REI.A.2
Radicals and Rational Exponents 1 N.RN.A.1
5 N.RN.A.2
Square Roots of Negative Numbers   N.CN.A.2
Imaginary Numbers   N.CN.A.1
Operations with Complex Numbers 5 N.CN.A.2

RATIONALS
   
Expressions with Negative Exponents 1 A.APR.D.6
Rational Expressions 4
Division of Polynomials  
Modeling Rationals 2 A.CED.A.1
Solving Rationals 5 A.REI.A.2

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

SEQUENCES AND SERIES
   
Sequences 7 F.LE.A.2
1 F.IF.A.3
1 F.BF.A.2
Sigma Notation 1 F.BF.B.6
Series 4 A.SSE.B.4
  F.BF.B.6

TRIGONOMETRY
   
Radian Measure   F.TF.A.1
Unit Circle 1
1 F.TF.A.2
Reciprocal Trigonometric Relationships  
Finding the Terminal Side of an Angle  
Reference Angles  
Determining Trigonometric Functions 2
2 F.TF.C.8
Using Inverse Trigonometric Functions   F.TF.A.2
Proving Trigonometric Identities 1 F.TF.C.8   A2.A.67
Modeling Trigonometric Functions 1 F.TF.B.5
Graphing Trigonometric Functions 5 F.IF.B.4
7 F.IF.C.7

CONICS
   
Equations of Circles 1 G.GPE.A.1
AI
(above)
GEO
(above)
AII
(above)
  QUICK TOPICS

PRECALCULUS
   
Topic   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+

PROBABILITY
   
Multiplication Counting Principle   S.CP.B.9+
Permutations
Combinations
Differentiating Permutations and Combinations
Binomial Probability   A2.S.15

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

QUADRATICS
   
Quadratic Inequalities   A2.A.4

POWERS
   
Properties of Logarithms   F.BF.B.5+
Logarithmic Equations
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
   
Undefined Rationals   A.APR.D.7+
Multiplication and Division of Rationals
Addition and Subtraction of Rationals
Complex Fractions
Rationalizing Denominators
Graphing Rationals   F.IF.C.7+
Inverse Variation   A2.A.5
Rational Inequalities   A2.A.23

FUNCTIONS
   
Defining Functions   F.BF.B.3+
Inverse of Functions   F.BF.B.4+
Compositions of Functions   F.BF.A.1+

TRIGONOMETRY
   
Domain and Range   F.TF.B.6+
Graphing Trigonometric Functions
Trigonometric Equations   F.TF.B.7+
Angle Sum and Difference Identities   F.TF.C.9+
Double and Half Angle Identities  
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+
Foci of Conics
AI
(above)
GEO
(above)
AII
(above)
   
 
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