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McDougal Littell Algebra 2 Utah State Core Mapping Chaptr Core Ref Items highlighted in red were not directly found in the text 1.1 review 1.2 review 1.3 review 1.4 review 1.5 review 1.6 review 1.7 IV.2.a Compute and compare different measures of spread, including the range, standard deviation, and interquartile range. 1.8 IV.2.d Use histograms to obtain percentiles. 2.1 II.1.c/d 2.2 II.1.b II.2.a Determine when a relation is a function. Determine the domain and range of relations. Describe a pattern using function notation. Find the value of a function at a given point. 2.3 review 2.4 review 2.5 ? Writing linear equations? 2.6 ? Direct variation? 2.7 ? Is regression anywhere in the new core? 3.1-3.3 I.2.a Solve systems of linear, absolute value, and quadratic equations algebraically and graphically. 3.4 ? Graphing systems of three variables? 3.5 ? Solving systems of three variables? 4.1 I.1.c Solve absolute value and compound inequalities of a single variable. 4.2-4.3 I.2.b Graph the solutions of systems of linear, absolute value, and quadratic inequalities on the coordinate plane. 4.4 I.1.a Solve and graph first-degree absolute value equations of a single variable. 4.5 I.1.c Solve absolute value and compound inequalities of a single variable. 4.6 5.1-5.2 III.1.a/b 5.3-5.6 5.8-5.9 IV Identify the domain and range of the absolute value, quadratic, radical, sine, and cosine functions. Graph the absolute value, quadratic, radical, sine and cosine functions. Graph functions using transformations of parent functions. (missing horizontal and vertical shifts) a. Model real-world situations using quadratic equations. b. Solve quadratic equations of a single variable over the set of complex numbers by graphing, factoring, completing the square, and using the quadratic formula. c. Solve quadratic inequalities of a single variable. d. Write a quadratic equation when given the solutions of the equation. 5.7 I.3.b Simplify expressions involving complex numbers and express them in standard form, a + bi. 5.8 III.1.d Write an equation of a parabola in the form y = a(x-h)2 + k when given an equation. Ext pg 282 III.1.d Write an equation of a parabola in the form y = a(x-h)2 + k when given a graph. 6.1 7.1-7.2 I.1.e I.3.a 6.2-6.7 II.2.c 7.3 I.1.b 7.4 II.2 Add, subtract, multiply, and divide functions. 7.5 II.2.d 7.6 III.1 Simplify algebraic expressions involving negative and rational exponents. Simplify numerical expressions, including those with rational exponents Compose functions when possible. Add, subtract, multiply, and divide functions. Identify the domain and range of a function resulting from the combination or composition of functions. Determine whether or not a function has an inverse, and find the inverse when it exists. Identify the domain and range of the radical functions. Graph radical functions. Graph functions using transformations of parent functions. (missing horizontal and vertical shifts) 7.7 IV.2.a Compute and compare different measures of spread, including the range, standard deviation, and interquartile range. 8.1-8.3 II.3 a. Define exponential functions as functions of the form y = abx ,b > 0,b ≠1 b. Model problems of growth and decay using exponential functions. c. Graph exponential functions. 8.4-8.6 II.4 9.3-9.6 I.1.d Relate logarithmic and exponential functions. Simplify logarithmic expressions. Convert logarithms between bases. Solve exponential and logarithmic equations. Graph logarithmic functions. Solve problems involving growth and decay Add, subtract, multiply, and divide rational expressions and solve rational equations. 10.4-10.5 IV.1.a Distinguish between permutations and combinations and identify situations in which each is appropriate. 10.6 IV.1.b Calculate probabilities using permutations and combinations to count events 10.7-10.8 ?IV.1.c 12.1-12.2 ?Compute conditional and unconditional probabilities in various ways, including by definitions, the general multiplication rule, and probability trees, and Bayes Theorem. Define simple discrete random variables. (I found no mention of radian degrees, special angles, or the unit circle in this book! Extreme alteration of this chapter will be needed) Objective 2 Determine radian and degree measures for angles. a. Convert angle measurements between radians and degrees. b. Find angle measures in degrees and radians using inverse trigonometric functions, including exact values for special triangles. Objective 3 Determine trigonometric measurements using appropriate techniques, tools, and formulas. a. Define the sine, cosine, and tangent functions using the unit circle. b. Determine the exact values of the sine, cosine, and tangent functions for the special angles of the unit circle using reference angles. c. Find the length of an arc using radian measure. d. Find the area of a sector in a circle using radian measure. 12.3 III.1 . Identify the domain and range of the absolute value, quadratic, radical, sine, and cosine functions. Graph the absolute value, quadratic, radical, sine and cosine functions. Graph functions using transformations of parent functions. (missing horizontal and vertical shifts)