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Cube Solids of Revolution

  
This topic 1

Logic

  • Sentences, Statements and Truth Values (2.1)
  • Conjunctions (2.2)
  • Disjunctions (2.3)
  • Conditionals (2.4)
  • Inverses, Converses and Contrapositives (2.5)
  • Biconditionals (2.6)
  • Truth Tables, Tautologies and Logically Equivalent Statements (A1.4)
  • The Laws of Logic (2.7)
  • Law of Modus Tollens (A1.7)
  • Invalid Arguments (A1.8)
  • Chain Rule (A1.9)
  • Drawing Conclusions (2.8)
  • Logic Proofs (A1.13)
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2

Introduction and Definitions of Geometric Terms

  • Undefined Terms (1.1)
  • Points, Lines and Planes (11.1)
  • Perpendicular Lines and Planes (11.2)
  • Parallel Lines and Planes (11.3)
  • The Real Numbers and their Properties (1.2)
  • Definitions, Lines and Line Segments (1.3)
  • Midpoints and Bisectors (1.4)
  • Rays and Angles (1.5)
  • More Angle Definitions (1.6)
  • Triangles (1.7)
  • The Sum of the Measures of the Angles of a Triangle ( 9.4)
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3

Introduction To Proof

  • Inductive Reasoning (3.1)
  • Definitions as Biconditionals (3.2)
  • Deductive Reasoning (3.3)
  • Direct and Indirect Proofs (3.4)
  • Postulates, Theorems and Proof (5.5)
  • The Substitution Postulate (3.6)
  • The Addition and Subtraction Postulates (3.7)
  • The Multiplication and Division Postulates (3.8)
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4

Triangles and Congruence

  • The Sum of the Measures of the Angles of a Triangle ( 9.4)
  • Isosceles and Equilateral Triangles (5.3)
  • Congruent Polygons and Corresponding Parts (4.4)
  • Proving Triangles Congruent Using SAS (4.5)
  • Proving Triangles Congruent Using ASA (4.6)
  • Proving Triangles Using SSS (4.7)
  • Proving Triangle Congruent Using AAS ( 9.5)
  • Proving Right Triangles Congruent by HL (9.7)
  • The Converse of the Isosceles Triangle Theorem (9.6)
  • Using Congruent Triangles to Prove Line Segments Congruent and Angles Congruent (5.2)
  • Using Two Pairs of Congruent Triangles ( 5.4)
  • Proving Overlapping Triangles Congruent (5.5)
  • Line Segments Associated with Triangles (5.1)
  • Perpendicular Bisector of a Line Segment (5.6)
  • Concurrence of the Altitudes of a Triangle (8.6)
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5

Points, Lines and Planes

  • The Slope of a Line (8.1)
  • The Equation of a Line (8.2)
  • Midpoint of a Line Segment (8.3)
  • The Distance Formula (12.10)
  • The Slope of Perpendicular Lines (8.4)
  • Coordinate Proof (8.5)
  • Proving Lines Parallel (9.1)
  • Properties of Parallel Lines (9.2)
  • Parallel Lines in the Coordinate Plane (9.3)
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6

Quadrilaterals

  • Interior and Exterior Angles of Polygons (9.8)
  • The General Quadrilateral (10.1)
  • The Parallelogram (10.2)
  • Proving that a Quadrilateral is a Parallelogram (10.3)
  • The Rectangle (10.4)
  • The Rhombus (10.5)
  • The Square (10.6)
  • The Trapezoid (10.7)
  • Areas of Polgons (10.8)
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7

Inequalities

  • Basic Inequality Postulates (7.1)
  • Inequality Postulates Involving Addition and Subtraction (7.2)
  • Inequality Postulate Involving Multiplication and Division (7.3)
  • An Inequality Involving the Lengths of the Sides of a Triangle (7.4)
  • An Inequality Involving an Exterior Angle of A Triangle (7.5)
  • Inequalities Involving Sides and Angles of a Triangle (7.6)
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8

Similarity

  • Ratio and Proportion (12.1)
  • Proportions Involving Line Segments (12.2)
  • Similar Polygons (12.3)
  • Proving Similar Triangles (12.4)
  • Proportional Reasoning Among Segments Related to Triangles (12.6)
  • Concurrence of the Medians of a Triangle (12.7)
  • Proportions in a Right Triangle (12.8)
  • Pythagorean Theorem (12.9)
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9

Transformations

  • The Coordinates of a point in a Plane (6.1)
  • Line Reflections (6.2)
  • Line Reflections in the Coordinate Plane (6.3)
  • Point Reflections in the Coordinate plane (6.4)
  • Translations in the Coordinate Plane (6.5)
  • Rotations in the Coordinate Plane (6.6)
  • Glide Reflections (6.7)
  • Dilations in the Coordinate Plane (6.8)
  • Dilations (12.5)
  • Transformations as Functions (6.9)
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10

Circles

  • Arcs and Angles (13.1)
  • Arcs and Chords (13.2)
  • Inscribed Angles and Their Measures (13.3)
  • Tangents and Secants (13.4)
  • Arcs Formed by Tangents, Chords and Secants (13.5)
  • Measures of Tangent Segments, Chords and Secant Segments (13.6)
  • Circles in the Coordinate Plane (13.7)
  • Tangents and Secants in the Coordinate Plane (13.8)

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11

Measurements in 3-Dimensions

  • Surface Area of a Prism (11.4)
  • Volume of a Prism (11.5)
  • Pyramids (11.6)
  • Cylinders (11.7)
  • Cones (11.8)
  • Spheres (11.9)
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12

Locus

  • The Meaning of Locus (14.2)
  • Five Fundamental Loci (14.3)
  • Points at a Fixed Distance in Coordinate Geometry (14.4)
  • Equidistant Lines in Coordinate Geometry (14.5)
  • Points Equidistant From a Point and a Line (14.6)
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13

Constructions

  • Basic Constructions (5.7)
  • Constructing Parallel Lines (14.1)
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14

Regents Review

REGENTS REVIEW SCHEDULE

M 6/14: 12pm - 3pm (Cafe Math Lab)


T 6/15: 1pm - 3pm (Cafe Math Lab)


Th 6/17: 8 - 11am (Cafe Math Lab)

MAKE SURE TO BRING THE REVIEW MATERIALS DISTRIBUTED IN CLASS


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