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Mathematics — Second Preparatory
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Curriculum
Mathematics — Second Preparatory
Unit 1: Real Numbers
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Real Numbers
Text lesson
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Real Numbers — Lesson quiz
5 questions
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Intervals and Operations on Them
Text lesson
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Intervals and Operations on Them — Lesson quiz
5 questions
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Operations on Real Numbers
Text lesson
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Operations on Real Numbers — Lesson quiz
5 questions
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Square and Cube Root Laws
Text lesson
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Square and Cube Root Laws — Lesson quiz
5 questions
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Laws of Exponents
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Laws of Exponents — Lesson quiz
5 questions
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Unit 2: Algebra
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Factoring by the Greatest Common Factor
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Factoring by the Greatest Common Factor — Lesson quiz
5 questions
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Factoring Trinomials
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Factoring Trinomials — Lesson quiz
5 questions
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Factoring Special Cases
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Factoring Special Cases — Lesson quiz
5 questions
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Factoring by Grouping
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Factoring by Grouping — Lesson quiz
5 questions
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Unit 3: Geometry
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Congruence
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Congruence — Lesson quiz
5 questions
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The Pythagorean Theorem
Text lesson
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Statement of the theorem
The converse of the theorem
Applications of the theorem
Worked examples
Common mistakes
Lesson summary
The Pythagorean Theorem — Lesson quiz
5 questions
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Applications of Parallelism
Text lesson
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Applications of Parallelism — Lesson quiz
5 questions
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Medians of a Triangle
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Medians of a Triangle — Lesson quiz
5 questions
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The Isosceles Triangle
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The Isosceles Triangle — Lesson quiz
5 questions
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Interior and Exterior Angles of a Polygon
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Interior and Exterior Angles of a Polygon — Lesson quiz
5 questions
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Unit 4: Statistics
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Ascending Cumulative Frequency Table
Text lesson
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Ascending Cumulative Frequency Table — Lesson quiz
5 questions
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Measures of Central Tendency
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Measures of Central Tendency — Lesson quiz
5 questions
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Text lesson
The Pythagorean Theorem
Mathematics — Second Preparatory
The Pythagorean Theorem
Explanation
Practice
Applications of the theorem
Applications of the theorem
The theorem is used to find unknown lengths in many situations
such as:
Finding the diagonal of a rectangle or a square.
Finding the height reached by a ladder leaning on a wall, when we know the distance of its foot from the wall and its length.
Checking whether a corner of a building or a frame is a right angle, using measured sides.
The Pythagorean Theorem · 3 / 6
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