Day 1 (1-1) I can apply transformations to points and sets of points. I can interpret transformations of real-world data. E.2.b Use transformations to draw the graph of a relation and determine a relation that fits a graph. F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology F.IF.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes Day 2 (1-2) I can identify parent functions from graphs and equations. I can use parent functions to model real-world data and make estimates for unknown values. E.2.b F.BF.3 A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. Also A.CED.3 F.IF.5 Day 3 (2-1) I can transform quadratic functions. I can describe the effects of changes in the coefficients of y = a(x h) 2 +k. E.3.b Graph parabolas and their translations from given equations or characteristics with and without technology. F.BF.3 A.CED.2 Day 4 (2-2) I can define, identify, and graph quadratic functions. I can identify and use maximums and minimums of quadratic functions to solve problems. E.3.b A.CED.2 F.IF.7a F.IF.5 Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. Day 5 * Review Distributive Property and FOIL method. CCSS STANDARDS: A.1.b. Multiply monomials and binomials Formative over Days 1-4 Review distributive property and FOIL method with notes and practice Exit Slip
Day 6 * coefficient = 1. (Review from Alg.1) Factor trinomials in the form ax 2 + bx + c Day 7 * coefficient not = 1. Day 8 * coefficient not = 1 (include problems that have a GCF). Day 9 * equations with special factoring rules (perfect square trinomials and difference of two squares) : Formative over Factoring Day 10 (2-3) equations by graphing or factoring. I can determine a quadratic function from its roots. techniques E.3.c Determine characteristics of parabolas from their equations and graphs Also A.REI.11
Day 11 (2-3) Continue Day 10 (if necessary, if not skip to Day 12) techniques E.3.c Determine characteristics of parabolas from their equations and graphs Also.A.REI.11 Day 12 * I can simplify square root expressions (Review from Alg.1) : Review simplifying radical expressions, numbers only Day 13 (2-4) equations by using the square root property. equations by completing the square. techniques, including completing the square completing the square to show zeros, extreme values, and Day 14 (2-4) I can write quadratic equations in vertex form. E.1.d Identify and write equations for parabolas from given characteristics and graphs. F.IF.8a Day 15 (2-5) I can define and use imaginary and complex numbers. C.1.a Identify complex numbers and write their conjugates N.CN.1 Know that there is a complex number i such that i 2 = -1, and every number has the form a + bi with a and b real numbers. N.CN.2 Use the relation i 2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers
Day 16 (2-5) equations with complex roots. E.1.c Solve quadratic equations with complex number solutions N.CN.7 Solve quadratic equations with real coefficients that have complex solutions. Day 17 (2-6) equations by using the quadratic formula. using various techniques, including using the quadratic formula E.1.c N.NC.7 Day 18 (2-6) I can use the discriminant to determine the number and types of solutions to quadratic equations. E.1.a E.1.b Use the discriminant to determine the number and type of roots for a given quadratic equation E.1.c N.NC.7 Day 19 Formative over Lessons 2-1 through 2-6 Multi-Step Test Prep Formative Day 20 (2-7) inequalities by using tables and graphs. I can solve a system of quadratic inequalities by using graphs.* E.2.c Graph a system of quadratic inequalities with and to find the solution set to the system.
Day 21 (2-7) I can solve quadratic inequalities by using algebra. Day 26 Students will demonstrate their mastery of the unit s content on a unit exam consisting of both multiple choice and constructed response items. Day 22 (2-8) I can use quadratic functions to model data. D.1.c Solve algebraically a system containing 3 variables A.CED.2 Create equations in two or more variables to represent relationships between quantities Day 23 (2-9) I can perform operations with complex numbers. C.1.b Add, subtract, and multiply complex numbers C.1.c Simplify quotients of complex numbers N.CN.2 Use the relation i 2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers Day 24 Added day for needed adjustment Day 25 Students will participate in a Formal Cumulative Review of the unit *Additional Materials Needed