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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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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
Practice
Common mistakes
Common mistakes
Thinking the square root of a non-perfect square is rational, for example writing √10 = 3.
Believing a repeating decimal is irrational because its digits repeat. In fact, it is rational.
Confusing an irrational number with a negative number. The number −5 is rational because it equals −5/1.
Treating an approximation such as √2 = 1.41 as an exact value. It is only an approximation.
Real Numbers · 6 / 7
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