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What students learn

In this lesson, students learn about irrational numbers and to approximate them using rational numbers.

  • Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

  • Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions.

Course curriculum

    1. Defining Square Roots and Cube Roots

    2. Quiz

    3. Review of Rational Numbers

    4. Decimal Expansion of Rational Numbers

    5. Quiz

    6. Converting decimals into the form a/b

    7. Quiz

    1. Introduction to Irrational Numbers

    2. Quiz

    3. Approximation and Decimal Expansion

    4. Quiz

    5. Comparison of Irrational Numbers

    6. Estimating Expressions

About this course

  • 13 lessons