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Math B |
Mathematics B |
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Chapter 1-Introducing Geometry and Coordinates |
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Undefined Terms |
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The Real Numbers and Number Lines |
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Definition Lines, line Segments |
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Rays and Angles |
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Triangles |
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Distance in the Coordinate Plane |
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Slope of a Line |
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Parallel and Perpendicular Lines |
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Chapter 2-Logic |
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Sentences, Statements and Truth Values |
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Negation and Connectives in Logic |
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Tautologies and Logically Equivalent Statements |
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The law of Detachment |
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The Law of the Contrapositive and Proof in Logic |
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The Law of Modus Tollens |
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Invalid Arguments |
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The Chain Rule |
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The Law of Disjunctive Inference |
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Negations and De Morgan's Laws |
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The laws of simplification, Conjunction, and
Disjunctive Addition |
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Unit Test |
Mathematics B Test 1 - Chapters 1 & 2 |
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Chapter 3-Proving Statements In Geometry |
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Inductive Reasoning |
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Definitions as Biconditionals |
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Deductive Reasoning |
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Direct and Indirect Proofs |
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Understanding the Nature of a Postulational System |
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The First Postulates Concerning Addition and
Subtraction |
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Postulates Concerning Multiplication and Division |
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Postulates involving Lines, Line Segments, and
Angles |
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Using Postulates and Definitions |
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Chapter 4-Triangle Congruence |
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Congruent Polygons |
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Proving Triangles Congruent Using Side, Angle, Side |
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Proving Triangles Congruent Using Angle, Side, Angle |
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Proving Triangles Congruent Using side, side, side |
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Line Segments Associated with Triangles |
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Practice in Proving Triangles Congruent |
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Using Congruent Triangles to Prove Line Segments
Congruent and Angles Congruent |
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Unit Test |
Mathematics B Test 2 - Chapters 3 & 4 |
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Chapter 5- Geometric Inequalities |
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Basic Inequality Postulates |
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Inequality postulates Involving Addition and
Subtraction |
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Inequality postulates Involving Multiplication and
Division |
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An Inequality Involving the Lengths of the Sides of
a Triangle |
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An Inequality Involving the Exterior Angle of a
Triangle |
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Inequalities involving Sides and Angles in a
Triangle |
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Chapter 6- Perpendicular and Parallel Lines |
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Proving Lines Perpendicular |
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Proving Lines Parallel |
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Properties of Parallel Lines |
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The Sum of the Measures of the Angles of a Triangle |
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Proving Triangles Congruent by Hypotenuse and leg |
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Exterior Angles of a Triangle |
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Interior Angles and Exterior Angles of a Polygon |
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Unit Test |
Mathematics B Test 3 - Chapters 5 & 6 |
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Chapter 7-Quadrilaterals |
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The General Quadrilateral |
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The Parallelogram |
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Proving That a Quadrilateral is a Parallelogram |
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The Rectangle |
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The Rhombus |
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The Square |
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The Trapezoid |
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Areas |
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Mathematics B Final - Chapters 1 - 7 |
