Introduction
Discover the fractions of integers
Construct and order the rational numbers set
Add and subtract rational numbers
The rational numbers additive group
Multiply and divide rational numbers
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Multiply Fractions and Integers (13:00)
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Multiply two Rational Numbers (6:47)
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The Signs Rules for the Multiplication of Rationals (4:50)
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Divide Fractions and Integers (16:53)
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Divide two Rational Numbers (8:23)
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The Signs Rules for the Division of Rationals (5:25)
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Fractions and Rational Numbers Multiplication and Division (pdf)
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Test Section 6
The non-zero Rational Numbers Multiplicative Group
Master Computation in Q
Exponentiation by an Integer of any Sign
Draw Straight Lines and Curves in Python
The Rational Numbers Ordered Field (Q,+,x,≤)
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Order with Addition and Subtraction (11:02)
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Order with Multiplication and Division (23:05)
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Solve Linear and Affine Inequations (14:38)
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The Density of the Rational Numbers Set (1:37)
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Direction of Variation of Affine Functions and Hyperbolas (10:30)
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Comparison between two Positive Powers of a Positive Rational Number (7:17)
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Direction of Variation and Convexity of a Parabola (7:51)
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The Rational Numbers Ordered Field (Q,+,x,≤) (pdf)
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Test Section 11
The Real Numbers
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About the Real Numbers (4:19)
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The Square Roots of Non Negative Real Numbers (5:04)
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The Quadratic Equations (15:17)
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Discover the Trigonometric Functions (3:21)
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The Sine and Cosine in the Unit Circle (11:20)
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Properties of the Cosine and Sine Functions (16:34)
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Draw the Sine and Cosine Functions (9:23)
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Quadratic Equations and Trigonometry in R (pdf)
Final Assessment: The Decimal Expansion of Rational Numbers
Conclusion
