NUMBER AND OPERATION CONCEPTS

The student produces evidence that demonstrates understanding of number and operation concepts as follows (follow the links to Interactivate lessons):

• The student consistently and accurately adds, subtracts, multiplies, and divides rational numbers using appropriate methods, and raises rational numbers to whole number powers.

  Fraction Facts
  Multiplying Decimals and Mixed Numbers
  Clock Arithmetic and Cryptography
  

• The student uses and understands the inverse relationships between addition and subtraction, multiplication and division, and whole number exponentiation and root extraction (squares and square roots, cubes and cube roots), and uses the inverse operations to determine unknown quantities in equations.

  Fraction Facts
  Multiplying Decimals and MixedNumbers
  Clock Arithmetic and Cryptography
  

• The student consistently and accurately applies and converts different kinds and forms of rational numbers. (See Notes below)

  Fraction Facts
  Multiplying Decimals and MixedNumbers
  

• The student is familiar with the characteristics of numbers (e.g., divisibility and prime factorization) and with properties of operations (e.g., commutativity and associativity), short of formal statements.

  Patterns In Pascal's Triangle
  Sets and Venn Diagrams
  Clock Arithmetic and Cryptography
  

• The student interprets percent as part of 100 and as a means of comparing quantities of different sizes or of changing sizes.

• The student uses ratios and rates to express "part-to-part" and "whole-to-whole" relationships, reasons proportionally to solve problems involving equivalent fractions, equal ratios, or constant rates, recognizing the multiplicative nature of these problems in the constant factor of change.

  Fraction Facts
  Multiplying Decimals and MixedNumbers
  

• The student orders numbers with the < and > relationships and by location on a number line, and estimates and compares rational numbers using sense of the magnitudes and relative magnitudes of numbers and of base-ten place values.

NOTES

Students should have facility with the different kinds and forms of rational numbers -- integers, whole numbers, negative integers, and negative and positive rational numbers written as decimals, percents, proper fractions, improper fractions or mixed fractions.

Irrational numbers are not required content, but are suitable for introduction, especially since the student should be familiar with the irrational number Pi.

Please direct questions and comments about this project to Addison-Wesley math@aw.com
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