10 - Pythagorean Theorem | Tutor Extraordinaire

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Saxon Algebra 2 (2nd/3rd edition)

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Recorded classes (1855:11)

Lesson A

A.AB - Geometry Review and Angles (22:30)
A.CD - Review of Absolute Value and Properties and Definitions (8:35)

Lesson B

B.AB - Perimeter and Area (16:59)
B.C - Volume (11:49)
B.D. - Surface Area (16:26)
B.E - Sectors of Circles (7:16)

Lesson 1

1.AB - Polygons and Triangles (16:51)
1.C - Transversals (5:22)
1.D - Proportional Segments (4:48)

Lesson 2

2.A - Negative Exponents (6:53)
2.BC - Product and Power Theorems for Exponents (9:41)
2.D - Circle Relationships (3:32)

Lesson 3

3.A - Evaluation of Expressions (4:33)
3.B - Adding Like Terms (5:53)

Lesson 4

4.A - Distributive Property (5:27)
4.B - Solutions of Equations (9:50)
4.C - Change sides--Change Signs (2:56)

Lesson 5

5.A - Word Problems (11:39)
5.B - Fractional Parts of a Number (5:37)

Lesson 6

6.A - Equations with Decimal Numbers (8:42)
6.B - Consecutive Integer Word Problems (6:43)

Lesson 7

7.A - Percent (11:01)
7.B - Equations from Geometry (9:13)

Lesson 8

8.A - Polynomials (5:22)
8.BC - Graphing Linear Equations and Intercept-Slope Method (14:06)

Lesson 9

9 - Percent Word Problems (10:54)

Lesson 10

10 - Pythagorean Theorem (6:28)

Lesson 11

11.A - Addition of Fractions (10:17)
11.B - Inscribed Angles (6:15)

Lesson 12

12 - Equation of a Line (13:51)

Lesson 13

13.A - Substitution (12:11)
13.B - Area of an Isosceles Triangle (3:46)

Lesson 14

14.AB - Equation of a Line Through Two Points and Equation of a Line with a Given Slope (7:43)

Lesson 15

15 - Elimination (5:40)

Lesson 16

16.A - Multiplication of Polynomials (5:16)
16.B - Division of Polynomials (10:06)

Lesson 17

17.A - Subscripted Variables (8:23)
17.B - Angle Relationships (3:29)

Lesson 18

18.A - Ratio Word Problems (7:17)
18.B - Similar Triangles (6:42)

Lesson 19

19.A - Value Word Problems (9:57)
19.B - AA Means AAA (6:45)

Lesson 20

20.A - Simplification of Radicals (9:41)
20.B - Line Parallel to a Given Line (3:25)

Lesson 21

21.A - Scientific Notation (9:19)
21.B - Two Statements of Equality (4:29)

Lesson 22

22.A - Uniform Motion Problems: Equal Distances (11:50)
22.B - Similar Triangles and Proportions (5:10)

Lesson 23

23 - Graphical Solutions (8:00)

Lesson 24

24.A - Fractional Equations (6:23)
24.B - Overlapping Triangles (6:23)

Lesson 25

25.A - Monomial Factoring (6:21)
25.B - Cancellation (6:00)
25.C - Parallel Lines (6:11)

Lesson 26

26.A - Trinomial Factoring (12:55)
26.B - Overlapping Right Triangles (12:20)

Lesson 27

27 - Rational Expressions (10:24)

Lesson 28

28.A - Complex Fractions (5:57)
28.B - Rationalizing the Denominator (4:35)

Lesson 29

29 - Uniform Motion Problems: D1 + D2 = k (15:38)

Lesson 30

30.A - Deductive Reasoning (14:12)
30.B - Euclid (7:32)
30.CDE - Vertical Angles are Equal; Corresponding, Interior, and Exterior Angles; 180 Degrees in a Triangle (9:59)

Lesson 31

31.AB - Negative Reciprocals and Perpendicular Lines (7:23)
31.C - Remote Interior Angles (5:10)

Lesson 32

32.A - Quotient Theorem for Square Roots (9:11)
32.BC - Congruency and Congruent Triangles (14:25)

Lesson 33

33.AB - Major Rules of Algebra and Complex Fractions (14:42)

Lesson 34

34 - Uniform Motion Problems: D1 + k = D2 (14:30)

Lesson 35

35.A - Angles in Polygons (11:40)
35.B - Inscribed Quadrilaterals (7:58)
35.C - Fractional Exponents (10:10)

Lesson 36

36.ABC - Contrived Problems, Multiplication of Rational Expressions, and Division of Rational Expressions (12:20)

Lesson 37

37.A - Chemical Compounds (13:56)
37.B - Parallelograms (12:53)

Lesson 38

38.A - Powers of Sums (7:19)
38.B - Solving by Factoring (11:53)
38.C - Only Zero Equals Zero (2:57)

Lesson 39

39.A - Difference of Two Squares (10:19)
39.B - Parallelogram Proof (4:08)
39.C - Rhombus (10:16)

Lesson 40

40 - Abstract Fractional Equations (8:39)

Lesson 41

41.AB - Units and Unit Multipliers (13:58)

Lesson 42

42 - Estimating with Scientific Notation (11:03)

Lesson 43

43.A - Sine, Cosine, and Tangent (18:39)
43.B - Inverse Functions (9:58)

Lesson 44

44 - Solving Right Triangles (12:14)

Lesson 45

45 - Difference-of-Two-Squares Theorem (9:43)

Lesson 46

46.A - More on Radical Expressions (7:19)
46.B - Radicals to Fractional Exponents (6:49)

Lesson 47

47.A - Rate Unit Conversions (5:31)
47.B - More on Fractional Exponents (4:23)

Lesson 48

48 - Radical Equations (11:43)

Lesson 49

49.A - Linear Intercepts (3:26)
49.B - Transversals (5:15)

Lesson 50

50.A - Quadratic Equations (3:51)
50.B - Completing the Square (11:35)

Lesson 51

51.AB - Imaginary Numbers and Product-of-Square-Roots Theorem (7:04)
51.CD - Euler's Notation and Complex Numbers (12:18)

Lesson 52

52 - Chemical Mixture Problems (15:25)

Lesson 53

53.A - Metric Unit Conversions (6:42)
53.B - English Units to Metric Units (6:23)
53.C - Weight Combination by Percent (4:41)

Lesson 54

54.A - Polar Coordinates (16:05)
54.B - Similar Triangles (3:15)

Lesson 55

55.A - Advanced Abstract Equations (12:04)
55.B - Word Problems and Quadratic Equations (3:35)

Lesson 56

56.A - Angles in Circles (9:20)
56.B - Proofs (7:22)

Lesson 57

57 - Ideal Gas Laws (9:04)

Lesson 58

58.AB - Lead Coefficients and More on Completing the Square (7:36)

Lesson 59

59.A - Experimental Data (10:37)
59.B - Simultaneous Equations with Fractions and Decimals (3:42)
59.C - Rectangular Form to Polar Form (3:28)

Lesson 60

60 - Direct and Inverse Variation (10:38)

Lesson 61

61 - Chemical Mixture Problems, Part B (16:26)

Lesson 62

62 - Complex Roots of Quadratic Equations (6:04)

Lesson 63

63 - Addition of Vectors (15:22)

Lesson 64

64.A - Complex Fractions (5:35)
64.B - Complex Numbers (7:44)

Lesson 65

65 - Advanced Substitution (8:14)

Lesson 66

66.A - Signs of Fractions (4:29)
66.B - 30-60-90 Triangles (9:17)

Lesson 67

67 - Radical Denominators (7:59)

Lesson 68

68.AB - Scientific Calculator & Scientific Notation (14:24)
68.C - Powers and Roots (10:43)

Lesson 69

69 - Gas Law Problems (9:14)

Lesson 70

70 - Advanced Abstract Equations (13:43)

Lesson 71

71 - Quadratic Formula (15:28)

Lesson 72

72.A - Lines from Experimental Data (7:20)
72.B - Negative Angles (5:06)

Lesson 73

73 - More on Radical Denominators (9:23)

Lesson 74

74 - Uniform Motion with Both Distances Given (11:41)

Lesson 75

75 - Factorable Denominators and Sign Changes (9:45)

Lesson 76

76.A - Using Both Substitution and Elimination (7:23)
76.B - Negative Vectors (6:27)

Lesson 77

77.A - Advanced Radical Equations (4:41)
77.B - Multiple Radicals (5:03)

Lesson 78

78 - Force Vectors at a Point (8:52)

Lesson 79

79.A - Metric Volume (8:18)
79.B - 45-45-90 Triangles (3:44)

Lesson 80

80.A - Direct Variation as a Ratio (9:33)
80.B - Inverse Variation as a Ratio (6:48)

Lesson 81

81 - Complex Numbers (14:25)

Lesson 82

82 - Algebraic Simplifications (6:17)

Lesson 83

83.A - Product Rule with Variables (5:41)
83.B - Power Rule with Variables (3:11)

Lesson 84

84 - Solutions of Equations (19:03)

Lesson 85

85 - Systems of Nonlinear Equations (17:15)

Lesson 86

86.A - Greater Than (4:05)
86.B - Trichotomy and Transitive Axioms (8:48)
86.C - Irrational Roots (7:24)

Lesson 87

87 - Slope Formula (14:34)

Lesson 88

88.A - The Distance Formula (10:54)
88.B - The Relationship PV=nRT (6:30)

Lesson 89

89.AB - Conjunctions and Disjunctions (10:25)
89.C - Products of Chords and Secants (16:49)

Lesson 90

90 - Systems of Three Equations (10:32)

Lesson 91

91.ABC - Linear Inequalities; Greater Than or Equal To and Less Than or Equal To; Systems of Linear Inequalities (19:11)

Lesson 92

92 - Boat-in-the-River Problems (17:20)

Lesson 93

93 - The Discriminant (12:06)

Lesson 94

94.ABC - Dependent and Independent Variables; Functions; Functional Notation (20:05)

Lesson 95

95 - More Nonlinear Systems (11:59)

Lesson 96

96.A - Joint and Combined Variation (10:53)
96.B - More on Irrational Roots (8:01)

Lesson 97

97 - Advanced Substitution (6:10)

Lesson 98

98 - Relationships of Numbers (10:49)

Lesson 99

99.ABCD - Absolute Value Inequalites: Conjunctions, Disjunctions, and Negative Numbers with Absolute Value (16:44)

Lesson 100

100 - Graphs of Parabolas (28:55)

Lesson 101

101 - Percent Markups (12:43)

Lesson 102

102.A - Sum of Functions (8:24)
102.B - Products of Functions (7:21)

Lesson 103

103 - Advanced Polynomial Division (5:59)

Lesson 104

104.AB - Complex Numbers and Subsets of the Set of Real Numbers (12:54)
104.C -Repeating Digits (11:13)

Lesson 105

105 - Advanced Factoring (21:22)

Lesson 106

106 - More on Systems of Three Equations (14:38)

Lesson 107

107.AB - Numbers, Numerals, and Value; Number Word Problems (13:47)

Lesson 108

108 - Sum and Difference of Two Cubes (16:02)

Lesson 109

109 - Fractional Exponents (10:21)

Lesson 110

110 - Quadratic Inequalities (Greater than) (10:33)

Lesson 111

111 - Three Statements of Equality (10:50)

Lesson 112

112 - Quadratic Inequalities (Less than) (8:12)

Lesson 113

113.AB - Logarithms and Antilogarithms (22:56)

Lesson 114

114 - Nonlinear Inequalities (12:09)

Lesson 115

115.A - Exponential Equations (4:03)
115.B - Exponential Functions (16:22)
115.C - Compound Interest (6:51)

Lesson 116

116.A - Fundamental Counting Principle and Permutations (10:27)
116.B - Probability (6:55)
116.C - Independent Events (5:21)

Lesson 117

117.AB - Letter Symbols for Sets and Set-Builder Notation (10:09)

Lesson 118

118 - Logarithmic Equations (19:09)

Lesson 119

119 - Absolute Value Inequalities (9:59)

Lesson 120

120 - Age Word Problems (14:15)

Lesson 121

121 - Rational Inequalities (14:51)

Lesson 122

122.A - Laws of Logarithms (7:26)
122.BCD - Intersection of Sets, Union of Sets, and Venn Diagrams (11:04)

Lesson 123

123.A - Locus (4:26)

Lesson 124

124.A - Conditions of Congruence (15:48)
124.B - Proofs of Congruence (9:59)
124.C - Isosceles Triangles (8:47)

Lesson 125

125.ABC - Distance Defined, Equidistant from Two Points, and Equidistant from Sides of an Angle (12:33)
125.D - Circle Proofs (12:44)

Lesson 126

126.ABC - Rectangles, Squares, and Isosceles Trapezoids (18:54)
126.D - Chords and Arcs (6:37)

Lesson 127

127 - Lines and Planes in Space (19:55)

Lesson 128

128.AB - Circumscribed and Inscribed; Inscribed Triangles (8:13)
128.C - Inscribed Circles (4:30)
128.D - Proof of the Pythagorean Theorem (4:41)
128.E - Inscribed Angles (9:29)

Lesson 129

129.A - Stem and Leaf Plots (10:19)
129.B - Measures of Central Tendency (6:04)
129.CD - The Normal Curve and Standard Deviation (10:39)

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10 - Pythagorean Theorem

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