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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 |
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|
TOPIC
Subtopic |
|
State Standard |
NUMBERS, OPERATIONS AND PROPERTIES |
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|
Order of Operations |
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6.EE.A.2 |
Evaluating Expressions |
Comparing Reals |
|
8.NS.A.2 |
Classifying Numbers |
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8.NS.A.1 |
RATE |
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Percents |
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7.RP.A.3 |
Error |
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POWERS |
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Scientific Notation |
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8.EE.A.3 |
Operations with Scientific Notation |
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8.EE.A.4 |
RADICALS |
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Square
Roots |
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8.NS.A.2 |
GRAPHS AND STATISTICS |
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Average Known with Missing
Data |
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6.SP.B.5 |
Central Tendency
and Dispersion |
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PROBABILITY |
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Sample Space |
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7.SP.C.8 |
Theoretical
Probability |
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6.SP.C.8 |
Geometric Probability |
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Experimental Probability |
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6.SP.C.7 |
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ALGEBRA I |
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TOPIC
Subtopic |
# |
State Standard |
EXPRESSIONS AND EQUATIONS |
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Dependent and Independent Variables |
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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 |
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Speed |
|
A.CED.A.2 |
Rate of Change |
2 |
F.IF.B.6 |
LINEAR EQUATIONS |
|
|
Modeling
Linear Functions |
|
F.BF.A.1 |
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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 |
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A.CED.A.1 |
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A.CED.A.3 |
Graphing Linear Inequalities |
|
A.REI.D.12 |
QUADRATICS |
|
|
Solving Quadratics |
5 |
A.REI.B.4 |
Using the
Discriminant |
|
Modeling Quadratics |
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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 |
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A.CED.A.1 |
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F.BF.A.1 |
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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) |
|
|