Decimals: Rational and Irrational Numbers |  |
Chapter DescriptionsSection 6.1Decimals and Rational Numbers: Develops historical background for decimals and uses number lines and grids to model infinite repeating decimals, place value, equality, and inequality of decimals. Subsections: Decimal Terminology and Notation; Models for Decimals; Equality of Decimals; Inequality of Decimals; Rational Numbers; Density of Rational Numbers; Estimation; Problem-Solving Application One-page Math Activity: Decimal Place Value with Base Ten Pieces and Decimal SquaresInteractive Applet: Competing at Place ValueSection 6.2Operations with Decimals: Models algorithms for the four basic operations on decimals and uses properties of rational numbers in examples of mental calculation and estimation techniques. Subsections: Addition; Subtraction; Multiplication; Division; Order of Operations; Repeating Decimals; Properties of Rational Numbers; Mental Computation; Estimation; Problem-Solving Application One-page Math Activity: Decimal Operations with Decimal SquaresSection 6.3Ratio, Percent, and Scientific Notation: Introduces ratio, proportion, and scientific notation through examples and illustrates methods of solving different cases of percents with grids. Subsections: Ratios; Proportions; Percent; Calculations with Percents; Mental Calculations with Percents; Estimation; Scientific Notation; Problem-Solving Application One-page Math Activity: Percents with Decimal SquaresSection 6.4Irrational and Real Numbers: Introduces irrational numbers through the Pythagorean theorem and models these numbers with number lines and grids. Number properties of the real numbers are listed an used in techniques for mental calculation and estimation. Subsections: Pythagorean Theorem; Square Roots and Other Roots; Real Numbers; Properties of Real Numbers; Operations with Irrational Numbers; Problem-Solving Application One-page Math Activity: Irrational Numbers on Geoboards
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