Decimals: Rational and Irrational Numbers Section 6.1 Decimals 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 Section 6.2 Operations 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 Base Ten Pieces and Decimal Squares Section 6.3 Ratio, 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 Squares Section 6.4 Irrational 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 Click Here to Launch the AppletIn This Chapter | ||||||
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