correlated to the Idaho Content Standards Algebra II

Transcription

1 correlated to the Idaho Content Standards Algebra II

2 McDougal Littell Algebra and Trigonometry: Structure and Method, Book correlated to the Idaho Content Standards Algebra 2 STANDARD 1: NUMBER AND OPERATION Goal 1.1: Understand numbers, ways of representing numbers, relationships among numbers and number systems. AII Compare and contrast the properties of numbers and number systems within the complex number system to include rational, irrational and imaginary numbers. PE/TE: Opportunities to address this standard can be found on the following pages: 14-19, 23, 24, 27-31, 34, 35, 36, 59-63, 81-87, 92, 94, , , , , 301 AII Demonstrate meaning of complex numbers as solutions to polynomial equations that do not have real solutions. PE/TE: 296, 307, 308, 310, 312, 313, 314, 316, 317, 346, 347, 348, 349 AII Represent powers using logarithms. PE/TE: 469, 470, 477, 490, 491, 497 AII Recognize matrices as a method of arranging data. PE/TE: , , , , , 805, 807, 808, 855 AII Know that matrices have some of the properties of the real number system. PE/TE: , , 784, , 793, 805, 806, 807, 808, 809 AII Develop an understanding of the properties of logarithmic expressions and expressions with rational exponents. PE/TE: , 467, , 481, 482, 496, 497 1

3 Goal 1.2: Understand meanings of operations and how they relate to one another. AII Develop an understanding of the properties of, and representations for, the addition, subtraction and multiplication of matrices. PE/TE: , , 780, 784, 791, 792, 793, 805, 807, 808 Goal 1.3: Compute fluently and make reasonable estimates. AII Use the properties of real numbers to simplify expressions. PE/TE: 8, 9, 10, 11, 12, 13, 16, 17, 22, 23, 24, 28, 29, 30, 31, 33, 34, 35, 36, 42, 54, 55, 56, 57, 63 AII Perform computations with matrices. PE/TE: , , 780, 784, 791, 792, 793, 805, 807, 808 AII Add, subtract, multiply and divide radical expressions. PE/TE: 264, 265, 267, 268, 269, , , , 288, 289, 290, 291, 295, 297, 302, 303, 305, 310, 321, 325, 349, 357, 385 AII Perform computations with complex numbers. PE/TE: 293, 294, 295, 297, 303, 310, 467 AII Perform computations with logarithmic expressions and expressions with rational exponents. PE/TE: 456, 458, 467, 474, 475, 476, 488, 491, 645 2

4 STANDARD 2: CONCEPTS AND PRINCIPLES OF MEASUREMENT Goal 2.1: Understand measurable attributes of objects and the units, systems and processes of measurement. AII Recognize the relationship between radian and degree measures. PE/TE: , 609, 610, 611, 634, 654, 655, 657 Goal 2.2: Apply appropriate techniques, tools and formulas to determine measurements. 3

5 STANDARD 3: CONCEPTS AND LANGUAGE OF ALGEBRA AND FUNCTIONS Goal 3.1: Understand patterns, relations and functions. AII Represent patterns and functional relationships in a table and as a graph. PE/TE: 108, 111, 114, 116, 117, 123, 124, 129, 139, 142, 143, 146, 149, 150, 152, , 155, 156, 157, 158, 162, 164, 165, , 333, 336, 462, 471, 491, 623, , , 634, 657 AII Describe the graph of a quadratic equation and discuss its attributes in terms of the basic concepts of maximum, minimum, intercepts and roots. PE/TE: , , 340, 345, 347, 348, 349, 838 AII Graph and analyze the graph of an absolute value equation and its characteristics. PE/TE: 143, 154, 157, 158, 332 AII Understand and represent transformations by using sketches, coordinates and function notation. PE/TE: Opportunities to address this standard can be found on the following pages: Goal 3.2: Represent and analyze mathematical situations and structures using algebraic symbols. AII Write equations and inequalities in multiple forms. PE/TE: 45, 47, 48, 49-54, 56, 57, 69-72, 94, , 120, 121, 122, 123, , 140, , 149, 150, 151, 158, 163, 164, 165 AII Solve equations and inequalities and systems of equations and inequalities. PE/TE: 37-42, 49-54, 56, 57, 59-63, 65-68, 69-72, 73-75, 76-79, 91, 93, 94, 98, 99, 101, , 123, , , , 140, 148, 150, 151, 158, 163, 164, 165 AII Perform operations on simple rational expressions. PE/TE: 219, 226, , , 255, 256, 257, 349 Goal 3.3: Use mathematical models to represent and understand quantitative relationships. Goal 3.4: Analyze change in various contexts. AII Interpret how changes to an equation affect the parent graph of the equation. PE/TE: 114, , , 345, 347, 348, , , 634, 655, 656, 657, 838 4

6 STANDARD 4: CONCEPTS AND PRINCIPLES OF GEOMETRY Goal 4.1: Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships. AII Use trigonometric relationships to determine lengths and angle measures. PE/TE: 558, 559, 560, 573, , , , , 600, 603, 604, 605, 612, 707 Goal 4.2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems. AII Analyze the graphs of circles and parabolas. PE/TE: , 331, 336, 347, 348, 349, 407, 409, 412, 416, 417, 452, 840 Goal 4.3: Apply transformations and use symmetry to analyze mathematical situations. Goal 4.4: Use visualization, spatial reasoning and geometric models to solve problems. STANDARD 5: DATA ANALYSIS, PROBABILITY AND STATISTICS Goal 5.1: Collect, organize and display data using a variety of formats. 5

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