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Algebra II: Assignment Sheet Unit 2: Quadratic Functions and Equations Chapter 2: Quadratic Functions Date Monday 10-31 & Tuesday 11-01 Lesson Lesson 2-7 Solving Quadratic Inequalities Classwork Homework Pgs. 114 – SmartBoard 115: Notes TI-NSpire steps # 2 – 10 & 12 – 32 (Even) Practice Problems Lesson 2-8 Curve Fitting with Quadratic Models Pgs. 121 – SmartBoard 122: Notes # 2 – 18 TI-NSpire steps (Even) Practice Problems Lesson 2-9 Operations with Complex Numbers Pgs. 130-131: SmartBoard #2 – 74 Notes (Even) TI-NSpire steps Practice Problems Thursday 11-10 Test Review: Lesson 2-7 to 2-9 TI-NSpire steps Pgs. 138-139: #64 – 95 Practice (All) Problems Friday 11-11 Assessment of Transformations, Properties and Methods of Solving Quadratics Wednesday 11-02 & Thursday 11-03 & Friday 11-04 Monday 11-07 & Wednesday 11-09 Score Free Response Test on Lesson 2-7 to 2-9 Enjoy your weekend Algebra II: Assignment Sheet Unit 2: Quadratic Functions and Equations Chapter 2: Quadratic Functions Standards: A2.ACE.1* Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. Interpret the solutions and determine whether they are reasonable. A2.ACE.2* Create equations in two or more variables to represent relationships between quantities. Graph the equations on coordinate axes using appropriate labels, units, and scales. A2.AREI.4* Solve mathematical and real-world problems involving quadratic equations in one variable. b. Solve quadratic equations by inspection, taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as for real numbers a and b. (Note: A2.AREI.4b is not a Graduation Standard.) A2.AREI.7 Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. Understand that such systems may have zero, one, two, or infinitely many solutions. (Limit to linear equations and quadratic functions.) A2.AREI.11* Solve an equation of the form graphically by identifying the xcoordinate(s) of the point(s) of intersection of the graphs of and A2.ASE.3* Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. (Note: A2.ASE.3b and 3c are not Graduation Standards.) b. Determine the maximum or minimum value of a quadratic function by completing the square. c. Use the properties of exponents to transform expressions for exponential functions. A2.FBF.3* Describe the effect of the transformations , and combinations of such transformations on the graph of for any real number k. Find the value of k given the graphs and write the equation of a transformed parent function given its graph. A2.FIF.4* Interpret key features of a function that models the relationship between two quantities when given in graphical or tabular form. Sketch the graph of a function from a verbal description showing key features. Key features include intercepts; intervals where the function is increasing, decreasing, constant, positive, or negative; relative maximums and minimums; symmetries; end behavior and periodicity. A2.FIF.5* Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes. A2.FIF.8* Translate between different but equivalent forms of a function equation to reveal and explain different properties of the function. (Note: A2.FIF.8b is not a Graduation Standard.) b. Interpret expressions for exponential functions by using the properties of exponents. A2.FIF.9* Compare properties of two functions given in different representations such as algebraic, graphical, tabular, or verbal. A2.NCNS.1* Know there is a complex number such that , and every complex number has the form with a and b real. A2.NCNS.7* Solve quadratic equations in one variable that have complex solutions. Objectives: 1. The equation of a quadratic function is determined by the key features of the function. 2. Quadratic functions and their graphs describe and model the relationship between two quantities. 3. Quadratic functions model the trajectory of objects in flight. Essential Questions: 1. How do quadratic functions describe a relationship between two quantities? 2. How does the equation of a quadratic function affect the shape of the graph? Vocabulary: Complex conjugate Discriminant Vertex Maximum Minimum Axes of symmetry Zeros/x-intercepts Roots/solutions Imaginary numbers Complex numbers Rational Irrational Quadratic formula Completing the square Rationalize Parabola Difference of Squares Perfect Square Trinomial