Algebra+and+Number+2

2. Demonstrate an understanding of irrational numbers by: • representing, identifying and simplifying irrational numbers • ordering irrational numbers. [CN, ME, R, V] [ICT: C6–2.3]

Achievement Indicators

2.1 Sort a set of numbers into rational and irrational numbers. 2.2 Determine an approximate value of a given irrational number. 2.3 Approximate the locations of irrational numbers on a number line, using a variety of strategies, and explain the reasoning. 2.4 Order a set of irrational numbers on a number line. 2.5 Express a radical as a mixed radical in simplest form (limited to numerical radicands). 2.6 Express a mixed radical as an entire radical (limited to numerical radicands). 2.7 Explain, using examples, the meaning of the index of a radical. 2.8 Represent, using a graphic organizer, the relationship among the subsets of the real numbers (natural, whole, integer, rational, irrational).