Algebra 2 Curriculum Map 2011-2012 Week # Dates 1 8/22-26, Standard(s) 1.0 Students solve equations and inequalities involving absolute value. 2.0 Students solve systems of linear equations and inequalities (in two or three variables) by substitution, with graphs, or with matrices. 2 8/29 – 9/ 2 5.0 Students demonstrate knowledge of how real and Topic Textbook Connections 1.7 Solving Absolute Value Equations and Inequalities 2.8 Absolute Value Functions 3.1 Solving Linear Systems by Graphing 3.2 Solving Linear Systems Algebraically 3.3 Graphing and Solving Systems of Linear Inequalities 3.4 Linear Programming 3.5 Graphing Linear Equations in Three Variables 3.6 Solving Systems of Linear Equations in Three Variables (Extension) Solving Systems Using Augmented Matrices. 5.4 Complex Number of Questions on CST Algebra 2 Curriculum Map 2011-2012 complex numbers are related both arithmetically and graphically. In particular, they can plot complex numbers as points in the plane. 6.0 Students add, subtract, multiply, and divide complex numbers. 3 9/6-9 8.0 Students solve and graph quadratic equations by factoring, completing the square, or using the quadratic formula. Students apply these techniques in solving word problems. They also solve quadratic equations in the complex number system. 9.0 Students demonstrate and explain the effect that changing a coefficient has on the graph of quadratic functions; that is, students can determine how the graph of a parabola changes as a, b, and c vary in the equation y = a(x-b)2 + c. Numbers (include 1.1 Real Numbers and Number Operations) 5.4 Complex Numbers (include 1.1 Real Numbers and Number Operations) 5.1 Graphing Quadratic Functions 5.2 Solving Quadratic Equations by Factoring 5.3 Solving Quadratic Equations by Finding Square Roots 5.4 Complex Numbers Completing the Square 5.6 The Quadratic Formula and the Discriminant 5.8 Modeling with Quadratic Functions 5.1 Graphing Quadratic Functions 4 9/12-16 Algebra 2 Curriculum Map 2011-2012 12.0a Students know and understand the laws of fractional exponents 18.0 Students use fundamental counting principles to compute combinations and permutations. 5 9/19-23 19.0 Students use combinations and permutations to compute probabilities 20.0 Students know the binomial theorem and use it to expand binomial expressions that are raised to positive integer powers. 6.1 Using Properties of Exponents 7.1 nth Roots and Rational Exponents 7.2 Properties of Rational Exponents The Fundamental Counting Principals and Permutations 12.2 Combinations and the Binomial Theorem The Fundamental Counting Principals and Permutations 12.2 Combinations and the Binomial Theorem 12.3 An Introduction to Probability 12.2 Combinations and the Binomial Theorem 12.6 Binomial Distributions 6 9/26-30 Algebra 2 Curriculum Map 2011-2012 21.0 Students apply the method of mathematical induction to prove general statements about the positive integers. 22.0 Students find the general term and the sums of arithmetic series and of both finite and infinite geometric series. 7 10/3-7 23.0 Students derive the summation formulas for arithmetic series and for both finite and infinite geometric series. 25.0 Students use properties from number systems to justify steps in combining and simplifying functions. 8 10/10-14 Benchmark 1 11.6(Extension) Mathematical Induction 11.1 Sequences and Series 11.2 Arithmetic Sequences and Series 11.3 Geometric Sequences and Series 11.4 Infinite Geometric Series 11.1 Sequences and Series 11.2 Arithmetic Sequences and Series 11.3 Geometric Sequences and Series 11.4 Infinite Geometric Series 11.5 Recursive Rules for Sequences Supplemental Material Thru out book Algebra 2 Curriculum Map 2011-2012 Week # Dates Standard(s) 9 10/17-21 3.0 Students are adept at operations on polynomials, including long division. 10 10/24-28 4.0 Students factor polynomials representing the difference of squares, perfect square trinomials, and Topic Textbook Connections 6.1 Using Properties of Exponents 6.2 Evaluating and Graphing Polynomial Functions 6.3 Adding, Subtracting and Multiplying Polynomials 6.5 The Remainder and Factor Theorems 6.6 Finding Rational Zeros 6.7 Using the Fundamental Theorem of Algebra 6.8 Analyzing Graphs of Polynomial Functions 6.9 Modeling with Polynomial Functions 5.2 Solving Quadratic Number of Questions on CST Algebra 2 Curriculum Map 2011-2012 the sum and difference of two cubes. 11 12 13 10/31 – 11/4 10.0 Students graph quadratic functions and determine the maxima, minima, and zeros of the function. 11/7-10 11/14-18 24.0 Students solve problems involving functional concepts, such as composition, defining the inverse function and performing arithmetic operations on functions. 25.0 Students use properties from number systems to justify steps in combining and simplifying functions. Equations by Factoring 6.4 Factoring and Solving Polynomial Equations 5.1 Graphing Quadratic Functions 7.3 Power Functions and Function Operations 7.4 Inverse Functions 7.5 Graphing Square Root and Cube Functions 7.6 Solving Radical Equations Supplemental Material Thru out book 14 15 16 17 11/21-22 11/28–12/2 12/5-9 12/12-16 Benchmark 2 Algebra 2 Curriculum Map 2011-2012 Week # Dates Standard(s) 18 12/19-1/2 1/3-6 Winter Recess Students add, subtract, multiply, divide, reduce, and evaluate rational expressions with monomial and polynomial denominators and simplify complicated rational expressions, including those with negative exponents in the denominator. 19 1/9-12 Students understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents. Topic Textbook Connections 9.1 Inverse and Joint Variation 9.2 Graphing Simple Rational Functions 9.3 Graphing General Rational Functions 9.4 Multiplying and Dividing Rational Expressions 9.5 Addition, Subtraction and Complex Fractions 9.6 Solving Rational Equations 8.4 Logarithmic Functions 8.5 Properties of Logarithms 8.6 Solving Exponential and Logarithmic Equations 8.7 Modeling with Number of Questions on CST Algebra 2 Curriculum Map 2011-2012 Students judge the validity of an argument according to whether the properties of real numbers, exponents, and logarithms have been applied correctly at each step. Students know and understand exponential functions, and use these functions in problems involving exponential growth and decay. Exponential and Power Functions 8.8 Logistics Growth Functions Supplemental Material Needed. 20 1/17-20 21 1/23-27 22 1/30–2/3 Students use the definition of logarithms to translate between logarithms in any base 23 2/6-10 Students understand and use the properties of logarithms to simplify logarithmic numeric expressions and to identify their approximate values. 8.4 Logarithmic Functions 8.5 Properties of Logarithms 24 2/14-17 Students determine whether a specific algebraic statement involving rational expressions, radical expressions, or logarithmic or exponential functions is sometimes true, always true, or never true. Supplemental Material Needed. Textbook has a few exercises that pertain to this standard. See Teacher textbook 6.1 Using Properties of Exponents 8.1 Exponential Growth 8.2 Exponential Decay8.3 The Number e 8.5 Properties of Logarithms 25 2/21-24 Algebra 2 Curriculum Map 2011-2012 Students use properties from number systems to justify steps in combining and simplifying functions. Supplemental Material Thru out book 26 2/27–3/2 Benchmark 3 Algebra 2 Curriculum Map 2011-2012 Week # Dates Standard(s) 27 3/5-9 Students demonstrate and explain how the geometry of the graph of a conic section (e.g., asymptotes, foci, eccentricity) depends on the coefficients of the quadratic equation representing it. 28 3/12-16 Given a quadratic equation of the form ax2 + by2 + cx + dy + e = 0, students can use the method for completing the square to put the equation into standard form and can recognize whether the graph of the equation is a circle, ellipse, parabola, or hyperbola. Students can then graph the equation. 29 3/19-23 Students use properties from number systems to justify steps in combining and simplifying functions. Topic Textbook Connections 10.1 The distance and Midpoint Formula 10.2 Parabola 10.3 Circles 10.4 Ellipses Hyperbolas 10.8(Extension) Eccentricity of Conic Sections 10.6 Graphing and Classifying Conics 10.7 Solving Quadratic Systems Supplemental Material Thru out book 30 31 32 33 34 35 36 3/26-30 4/2-6 4/9-13 4/16-20 4//23-27 4/30 – 5/4 5/7-11 5/14-18 Spring Break STAR testing Benchmark 4 Number of Questions on CST Algebra 2 Curriculum Map 2011-2012 37 38 39 5/21-25 5/29-6/1
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