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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
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The set of real numbers
Repeating decimals
Square roots and irrational numbers
Real numbers on the number line and their order
Worked examples
Common mistakes
Lesson summary
Real Numbers — Lesson quiz
5 questions
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Intervals and Operations on Them
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Intervals and Operations on Them — Lesson quiz
5 questions
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Operations on Real Numbers
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Operations on Real Numbers — Lesson quiz
5 questions
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Square and Cube Root Laws
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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
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The Pythagorean Theorem — Lesson quiz
5 questions
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Applications of Parallelism
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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
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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
Real Numbers
Mathematics — Second Preparatory
Real Numbers
Explanation
Lesson summary
Lesson summary
The real numbers R = rational numbers Q ∪ irrational numbers.
A rational number can be written as a fraction. Its decimal form either terminates or repeats.
An irrational number has a decimal form that neither ends nor repeats. The square roots of non-perfect squares are irrational.
√(perfect square) is rational. √(non-perfect square) is irrational.
Every real number has a point on the number line. We locate it by comparing its square with the squares of integers.
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