Back to course 'GKT101: General Knowledge for Teachers – Math'

Topic outline

  • Unit 1: Review of Numbers and Operational Expressions

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    This unit reviews different basic mathematical concepts and skills necessary before achieving mastery in Algebra, Geometry, and Statistics. Before starting any of the other units in this course, you should already be able to identify real numbers and their locations on the number line, solve problems using four operations with rational numbers, and interpret expressions involving the order of operations. To test your grasp of these concepts, do the practice activities in this unit and complete the unit assessment. These are ungraded opportunities to check your understanding.

    Completing this unit should take you approximately 3 hours.

    • Upon successful completion of this unit, you will be able to:

      • identify real numbers and their location on a number line;
      • interpret expressions involving order of operations;
      • solve problems using four operations with rational numbers; and
      • identify factors of whole numbers using divisibility rules.

      • 1.1 Whole Numbers, Integers and Absolute Value

        In this section, you will review the basic operations with whole numbers and integers.

        • book icon
          Practice with Whole Numbers Book
          Students must
          Mark as done

          Complete these exercises and check your answers.

        • book icon
          Practice with Integers Book
          Students must
          Mark as done

          Complete these exercises and check your answers.

      • 1.2: Factors and Multiples, Prime and Composite Numbers, and Divisibility Rules

        In this section, you will review the definition of factors, multiples, and prime and composite numbers.

      • 1.3: Fractions, Decimals, and Percentages

        In this section, you will review fractions, decimals, and percentages.

      • 1.4. Real Numbers: Rational and Irrational

        In this section, you will review the two groups of real numbers: rational and irrational.

      • 1.5: Exponents and Scientific Notation

        In this section, you will review scientific notation, which takes an exponent and uses it to write numbers compactly.

      • 1.6: Operations with Rational Numbers

        In this section, you will review the order of operations.

        • book icon
          Practice with Operations Book
          Students must
          Mark as done

          Complete these exercises and check your answers.

      • 1.7: Word Problems

        In this section, you will review real-world applications of operations with rational numbers, including word problems with fractions and decimals and various applications of percentages.

      • Unit 1 Assessment

        • quiz icon
          Unit 1 Assessment Quiz
          Students must
          Receive a grade

          Take this assessment to see how well you understood this unit.

          • This assessment does not count towards your grade. It is just for practice!
          • You will see the correct answers when you submit your answers. Use this to help you study for the final exam!
          • You can take this assessment as many times as you want, whenever you want.