Unit 3: Quadratic Functions

Essential Questions: 
*What are the advantages of a quadratic function in vertex form? In standard form? 
*How is any quadratic function related to the parent quadratic function y = x2
*How are the real solutions of a quadratic equation related to the graph of the related quadratic function? 
Students will identify the vertex, axis of symmetry, maximum or minimum, domain and range, and translations of a quadratic funtion. Students will graph quadratic functions with and without graphing aids. Students will compare translations to the parent quadratic function. Students will identify the x-intercepts of the graphs of related quadratic functions. 
  1. 3-1: Quadratic Functions and Transformations
    Objective: To identify and graph quadratic functions.
    Skills: [These are the list of skills that will be covered in each days lessons] graphing a function of the form f(x)=x^2; exploring vertex form; graphing translations of f(x) = x^2; interpreting Vertex Form https://drive.google.com/a/es-impact.org/folderview?id=0B-waw_otYSTNWkI0Vi1LTUpCX2s&usp=sharing Homework: None
    1
    Dec
  2. 3-1: Quadratic Functions and Transformations
    Objective: To graph quadratic functions. To justify claims using mathematical evidence in written form.
    Skills: using Vertex form y=a(x-h)^2 + k; writing a quadratic function in vertex form; math justification paragraphs with evidence. LESSON CHECK: [Lesson checks are used for the students to self-assess their understanding of the lesson. These are not grading for correctness but are used for an "informal" assessment by myself.] Homework: Finish Example 5: Writing Quadratic Functions. You will need the claim/evidence paragraph for class Monday. Also, there are iXL skills to be completed. The skills have been highlighted on iXL. Please complete 10 problems from each skill by Monday.
    2/3
    Dec
  3. 3-2: Standard Form of a Quadratic Function
    Objective: To graph quadratic functions written in standard form.
    Skills: graphing a function of the form y=ax^2 + bx + c; converting standard form to vertex form (and vertex form to standard form) Homework: Finish Example 5 problem. Be sure to have your claim/evidence paragraph done for Monday's class. There are iXL skills highlighted on the website. Please complete 10 problems from each skill.
    7
    Dec
  4. 3-2: Standard Form of a Quadratic Function
    Objective: To interpret a quadratic equation in a real world context.
    Skills: interpreting a quadratic graph; annotating and solving word problems LESSON CHECK Homework:
    8
    Dec
  5. 3-3: Modeling with Quadratic Functions
    Objective: to model data with quadratic functions.
    Skills: comparing quadratic models LESSON CHECK Skills: factoring [students will be given a pre-assessment to evaluate their prior knowledge of factoring] Homework
    9/10
    Dec
  6. 3-4: Factoring Quadratic Expressions
    Objective: To find common and binomial factors; to factor special quadratic expressions
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    14
    Dec
  7. 3-4: Factoring Quadratic Expressions
    Objective: To find common and binomial factors; to factor special quadratic expressions
    Skills: factoring a perfect square trinomial; factoring a difference of two squares LESSON CHECK Homework: ***Study for Quiz***
    15
    Dec
  8. Group Quiz - Unit 3 Quiz #1
    Lesson - 3-1; 3-2; 3-3; 3-4
    Students will be placed into groups of 3-4 where they will review their knowledge of the skills learned in the current Unit. Angry Birds Work Time Homework: Angry Birds ***Happy Holidays***
    16/17
    Dec
  9. Quiz/Unit Review
    Objective: to identify and correct any misconceptions from the beginning of the Unit.
    Students will complete Quiz Corrections. Homework: complete Quiz Corrections.
    5
    Jan
  10. 3-5: Quadratic Equations
    Objective: to solve quadratic equations by factoring; by graphing
    Skills: simplify radicals; solving a quadratic equation by factoring; solving a quadratic equation with tables; solving a quadratic equation by graphing; using a quadratic equation. LESSON CHECK Homework
    6/7
    Jan
  11. 3-A: Intercept Form
    Objective: to write a quadratic equation, given its zeros/roots.
    Activity: Students will write quadratic functions, given its zeros in factored and standard form; find the sum and product of the roots of a quadratic equation in standard form. LESSON CHECK Homework
    11
    Jan
  12. 3-6: Completing the Square
    Objective: to solve equations by completing the square.
    Skills: solving by finding square roots; solving a perfect square trinomial equation; completing the square Homework
    12
    Jan
  13. 3-6: Completing the Square
    Objective: to rewrite functions by completing the square.
    Skills: solving by completing the square; writing in vertex form LESSON CHECK ((Angry Birds Work Time)) Homework
    13/14
    Jan
  14. 3-7: Quadratic Formula
    Objective: to derive the quadratic formula; to solve equations using the quadratic formula
    Skills: using the quadratic formula; applying the quadratic formula. Homework
    19
    Jan
  15. 3-B: Quadratic Inequalities
    Objective: to investigate and use different methods to solve quadratic inequalities.
    Skills: solve by factoring; solve by graphing related functions; solve by solving the related function. Homework
    1
    Feb
  16. 3-7: Quadratic Formula
    Objective: to determine the number of solutions by using the discriminant.
    Skills: using the discriminant; using the discriminant to solve a problem LESSON CHECK ((Angry Birds Work Time)) Homework: Study for Quiz
    20/21
    Jan
  17. Unit 3 Quiz #2
    3-5, 3-6, 3-7
    25
    Jan
  18. 3-8: Complex Numbers
    Objective: to identify, graph, and perform operations with complex numbers.
    Skills: simplifying a number using i; identify complex numbers (real & imaginary parts); graphing in the complex number plane; adding and subtracting complex numbers; multiplying complex numbers Homework
    26
    Jan
  19. 3-8: Complex Numbers
    Objective: to perform complex number operations; to find complex number solutions of quadratic equations
    Skills: multiplying complex numbers; dividing complex numbers; factoring using complex conjugates; finding imaginary solutions LESSON CHECK
    27/28
    Jan
  20. 3-9: Quadratic Systems
    Objective: to solve and graph systems of linear and quadratic equations/inequalities
    Skills: solve a linear-quadratic system by graphing; solving a linear-quadratic system using substitution; solving a linear-quadratic system of inequalities. LESSON CHECK Homework
    2
    Feb
  21. Unit Test Review (Quadratics)
    Objective: to clarify any misconceptions with Unit 3 Quadratic skills/concepts
    Rotation Stations based on Traffic Lighting (students will have self-assessed their knowledge of the skills to review the necessary skills during this review session) Homework: ***Study for Unit Test ***
    3/4
    Feb
  22. Unit 3 Test
    Objective: students will apply their knowledge of Quadratics to Unit test.
    Good Luck!
    5
    Feb
  23. Project Work Time
    Students will be given until Feb 18, of in-class time to complete their Angry Birds projects. Students will have the opportunity to get peer feedback from other students. PROJECTS DUE FEBRUARY 22 - IN-CLASS!
    8-19
    Feb
  24. ANGRY BIRDS PROJECTS DUE!
    Students will submit their Angry Birds Projects. Any late projects will have points deducted. End of Day = -5% Each additional day = - 10% Cannot submit projects past March 7th
    22
    Feb