STANDARD COMPETENCIES:

 

 I.      Calculate using whole and decimal numbers without a calculator.

 II.     Demonstrate knowledge and usage of whole numbers.

 III.    Demonstrate knowledge and usage of fractions and mixed numbers.

 IV.     Demonstrate knowledge and usage of decimals.

 TOPICAL OUTLINE:

 

 I.      Demonstrate competency in the usage of whole numbers.

         A.      Describe the structure of our number system.

         B.      Read and write whole numbers through trillions.

         C.      Compute the sum, difference, product, and quotient of whole numbers.

         D.      Round whole numbers to the indicated place.

         E.      Estimate answers to whole number calculations.

         F.      Evaluate numbers written in exponential form and identify base, exponent, and factors of such numbers.

         G.      Determine square and cube roots.

         H.      Apply the correct order of operations to evaluate arithmetic expressions.

         I.      Solve word problems involving whole numbers.

         J.      Identify numbers as prime or composite.

         K.      Determine the prime factorization of a number using divisibility rules.

 II.     Demonstrate knowledge and usage of fractions and mixed numbers.

         A.      Interpret a fraction as parts of a whole, or as an indicated division.

         B.      Identify and understand the meaning of numerator and denominator.

         C.      Determine the least common multiple/lowest common denominator of a set of numbers.

         D.      Use the identity property to rename fractions.

         E.      Arrange fractions in order, smallest to largest.

         F.      State the reciprocal of any given number.

         G.      Change improper fractions to mixed numbers and vice versa.

         H.      Compute the sum, difference, product and quotient of commonly used fractions and mixed numbers writing the answer in simplest form.

         I.      Use fractions in applications.

 III.    Demonstrate knowledge and usage of decimals.

         A.      Read and write decimal numerals to millionths place.

         B.      Write common fractions as equivalent decimals and vice versa.

         C.      Arrange decimal numerals in order, smallest to largest.

         D.      Round decimal numerals to indicated place.

         E.      Compute the sum, difference, product and quotient of decimals.

         F.      Apply the shortcut method of moving the decimal point when multiplying or dividing by powers of ten.

         G.      Rewrite standard decimal numerals in scientific notation and vice versa.

         H.      Solve word problems involving decimals.