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To access Regents, Practice and Journal Worksheets, Lesson Plans, Videos and other resources, click on the State Standard in the last column below.  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 Topic has appeared on a High School CCSS Regents Exam.
GEO
(below)
AII
(below)
PRECALCULUS
(below)
  QUICK TOPICS

ALGEBRA I
  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 2 A.REI.A.1
Set Theory   S.CP.A.1

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

EXPRESSIONS AND EQUATIONS
   
Dependent and Independent Variables 1 A.SSE.A.1
Modeling Expressions 5
Solving Linear Equations 4 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 11 A.CED.A.4

RATE
   
Percents   7.RP.A.3
Error  
Conversions 5 N.Q.A.1
Using Rate 2 N.Q.A.2
Speed 2 A.CED.A.2
Rate of Change 14 F.IF.B.6

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

INEQUALITIES
   
Solving Linear Inequalities 6 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
Modeling Quadratics 2 A.CED.A.1
Geometric Applications of Quadratics 8
Vertex Form of a Quadratic 6 F.IF.C.8
Graphing Quadratic Functions 12 F.IF.B.4
  F.IF.C.7

SYSTEMS
   
Solving Linear Systems 5 A.REI.C.5
4 A.REI.C.6
Modeling Linear Systems 10 A.CED.A.3
Graphing Linear Systems 6 A.REI.C.6
Modeling Systems of Linear Inequalities 5 A.CED.A.3
Graphing Systems of Linear Inequalities 9 A.REI.D.12
Quadratic-Linear Systems   A.REI.C.7
6 A.REI.D.11
Other Systems 7

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 5 A.SSE.B.3
1 A.CED.A.1
4 F.BF.A.1
4 F.LE.A.2
8 F.LE.B.5
Graphing Exponential Functions   F.IF.C.7

POLYNOMIALS
   
Operations with Polynomials 12 A.APR.A.1
Factoring Polynomials 3 A.SSE.A.2
Factoring the Difference of Perfect Squares 8
Zeros of Polynomials 13 A.APR.B.3
Graphing Polynomial Functions 6 F.BF.B.3

RADICALS
   
Square Roots   8.NS.A.2
Simplifying Radicals   N.RN.B.3
Operations with Radicals 11
Graphing Root Functions 4 F.IF.C.7

FUNCTIONS
   
Defining Functions 7 F.IF.A.1
Functional Notation 8 F.IF.A.2
Evaluating Functions 1
Domain and Range 6
7 F.IF.B.5
Operations with Functions 1 F.BF.A.1
Families of Functions 14 F.LE.A.1
5 F.LE.A.2
6 F.LE.A.3
Transformations with Functions 2 F.BF.B.3
Comparing Functions 8 F.IF.C.9
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 5 F.IF.A.3
8 F.LE.A.2
AI
(above)
AII
(below)
PRECALCULUS
(below)
430 QUICK TOPICS

GEOMETRY
   
Topic # State Standard

TOOLS OF GEOMETRY
   
Planes   G.CO.A.1
Solids   G.MG.A.1
Rotations of Two-Dimensional Objects 6 G.GMD.B.4
Cross-Sections of Three-Dimensional Objects 5
Constructions 7 G.CO.D.12
5 G.CO.D.13

LINES AND ANGLES
   
Midpoint   G.CO.A.1
Distance  
Directed Line Segments 9 G.GPE.B.6
Lines and Angles 6 G.CO.C.9
Parallel and Perpendicular Lines 8 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 6
Interior and Exterior Angles of Triangles 3 G.CO.C.10
Exterior Angle Theorem 1
Triangle Inequality Theorem  
Angle Side Relationship  
Medians, Altitudes and Bisectors  
Midsegments 2
Centroid, Orthocenter, Incenter and Circumcenter  
Triangles in the Coordinate Plane 3 G.GPE.B.4

POLYGONS
   
Interior and Exterior Angles of Polygons 5 G.CO.C.11
Parallelograms 3
Trapezoids  
Special Quadrilaterals 7
Quadrilaterals in the Coordinate Plane 7 G.GPE.B.4
Polygons in the Coordinate Plane 5 G.GPE.B.7

CONICS
   
Chords, Secants and Tangents 14 G.C.A.2
Inscribed Quadrilaterals 1 G.C.A.3
Equations of Circles 9 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 2
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 9
Volume 3 G.GMD.A.1
16 G.GMD.A.3
Density 15 G.MG.A.2
Similarity 19 G.SRT.B.5

TRANSFORMATIONS
   
Line Dilations 13 G.SRT.A.1
Symmetry   G.CO.A.5
Rotations 2
Reflections 1
Translations  
Dilations 6 G.SRT.A.2
Mapping a Polygon onto Itself 8 G.CO.A.3
Compositions of Transformations 10 G.CO.A.5
6 G.SRT.A.2
Properties of Transformations 3 G.CO.B.6
Identifying Transformations 9 G.CO.A.2
Analytical Representations of Transformations 1

TRIGONOMETRY
   
Trigonometric Ratios 2 G.SRT.C.6
Cofunctions 10 G.SRT.C.7
Using Trigonometry to Find a Side 13 G.SRT.C.8
Using Trigonometry to Find an Angle 7

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

ALGEBRA II
   
Topic # State Standard

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

PROBABILITY
   
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
Venn Diagrams   S.CP.A.1
Conditional Probability 1 S.CP.A.3
4 S.CP.A.4
2 S.CP.B.6

RATE
   
Rate of Change 6 F.IF.B.6

QUADRATICS
   
Solving Quadratics 5 A.REI.B.4
Using the Discriminant  
Roots of Quadratics  
Complex Conjugate Root Theorem 1
Graphing Quadratic Functions 5 G.GPE.A.2

SYSTEMS
   
Solving Linear Systems 3 A.REI.C.6
Quadratic-Linear Systems 4 A.REI.C.7
1 A.REI.D.11
Other Systems 8

POWERS
   
Modeling Exponential Functions 3 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, Exponential Growth, Exponential Decay 2 A.CED.A.1
6 F.LE.A.4
Logarithmic Equations  

POLYNOMIALS
   
Factoring Polynomials 7 A.SSE.A.2
Factoring the Difference of Perfect Squares  
Zeros of Polynomials 7 A.APR.B.3
Solving Polynomial Equations  
Graphing Polynomial Functions 2 F.IF.B.4
1 F.IF.C.7
Remainder Theorem 8 A.APR.B.2
Polynomial Identities 5 A.APR.C.4

RADICALS
   
Simplifying Radicals   N.RN.A.2
Operations with Radicals 1
Solving Radicals 6 A.REI.A.2
Radicals and Rational Exponents 2 N.RN.A.1
6 N.RN.A.2
Square Roots of Negative Numbers   N.CN.A.2
Imaginary Numbers   N.CN.A.1
Operations with Complex Numbers 6 N.CN.A.2

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

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

SEQUENCES AND SERIES
   
Sequences 5 F.LE.A.2
1 F.IF.A.3
6 F.BF.A.2
Sigma Notation 1 F.BF.B.6
Series 5 A.SSE.B.4
  F.BF.B.6

TRIGONOMETRY
   
Radian Measure   F.TF.A.1
Unit Circle 1
  F.TF.A.2
Reciprocal Trigonometric Relationships 1
Finding the Terminal Side of an Angle  
Reference Angles 1
Determining Trigonometric Functions 2
2 F.TF.C.8
Using Inverse Trigonometric Functions   F.TF.A.2
Simplifying Trigonometric Expressions 1 F.TF.C.8
Proving Trigonometric Identities  
Modeling Trigonometric Functions 1 F.TF.B.5
Graphing Trigonometric Functions 6 F.IF.B.4
9 F.IF.C.7

CONICS
   
Equations of Circles 1 G.GPE.A.1
AI
(above)
GEO
(above)
AII
(above)
216 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

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

QUADRATICS
   
Quadratic Inequalities   A.REI.D.11

SYSTEMS
   
Other Systems   G.GPE.A.3

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
   
Graphing Rationals   F.IF.C.7
Multiplication and Division of Rationals   A.APR.D.7
Addition and Subtraction of Rationals
Complex Fractions
Rationalizing Denominators
Inverse Variation
Rational Inequalities

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

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
Trigonometric Equations   F.TF.B.7
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
AI
(above)
GEO
(above)
AII
(above)
   
 
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