MPM2D1 - Grade 10 Academic Math

Unit 4 – Quadratic Functions

Link to course units:  Unit 1       Unit 2     Unit 3     Unit 4     Unit 5

Upcoming Evaluations:

 Evaluation Topics Suggested Date Quiz Quadratics Nov 21 Quiz Vertex Form of Quadratic Nov 29 In-class Assignment Quadratics Assignment Dec 4 Unit Test #4 All of unit 4 Dec 10

Unit 4:  Quadratic Functions

 Date Topic/Learning goals Daily Work/Assignments Fri Nov 16 Quadratic Functions – Part 1 We will learn how to graph a quadratic function using the step pattern, and determine how p, and q effect the graph.   For graphing you can use Desmos app or Desmos online graphing calculator. CP p. 102 – 109 Mon Nov 19 Quadratic Functions – Part 2 We will be graphing a quadratic function using the step pattern, and determine how a effects the graph. CP p. 110 – 115 Text p. 364/5 #2, 4, 7 Tue Nov 20 Vertex form for the equation of a quadratic function To consolidate and learn how to use the vertex form to write the equation and graph a quadratic function. Perfect Square Trinomials - Review CP p. 116 - 118 Text p. 365-7 #5, 6, 8, 9, 11 – 13 Wed Nov 21 Quiz – Quadratics (Online) Completing the square – Part 1 To learn to convert the equation of a simple trinomial from standard form to vertex form. CP p. 118-119 Text p. 390 #1, 2, 4, 5, 6 Thu Nov 22 Completing the square – Part 2 + Practice To learn to convert the equation of a complex trinomial from standard form to vertex form. CP p. 120 Text p. 391 #7 – 9   HW pages can be downloaded here Fri Nov 23 PD Day – No Classes Mon Nov 26 Converting quadratic forms To learn to convert the equation of a quadratic function from one form to any other form (i.e. standard, vertex, factored) CP p. 121 Text p. 351 #1, 2, 5 – 12 Tue Nov 27 Graphing Quadratics We will graph quadratics in standard form by converting to vertex form first. CP p. 122–125 (odd numbers only) Check your answers here Wed Nov 28 Solving Quadratic Equations by Factoring and/or Completing the Square To remind ourselves how to use factoring to solve a quadratic and to learn how to use completing the square to solve a quadratic equation CP p. 126-127 (odd numbers only)   HW pages can be downloaded here and here Thu Nov 29 Quiz - Vertex Form of Quadratic   Quadratic Formula We will develop the quadratic formula and use it to solve quadratic equations. CP p. 128 – 131 Text p. 403 #4, 6, 12   HW pages can be downloaded here Fri Nov 30 Quadratic Formula – Discriminant To determine how many roots a quadratic equation has using the discriminant.  We will practice our skills with solving quadratic equations. Text p. 403 #3, 5, 8, 9, 11, 14, 17, 20, 24 CP p. 134   HW pages can be downloaded here Mon Dec 3 Quadratic Assignment Practice methods of solving quadratics Start Unit Review on CP P. 139 Tue Dec 4 Quadratic Assignment – Work Period Practice methods of solving quadratics Solving Quadratic Problems To use our skills with solving equations to solve quadratic word problems. Text p. 404 #13, 15, 16, 18, 19, 21, 22, 25 Wed Dec 5 Optimization Problems – Day 1 We will develop a strategy for solving max/min problems involving quadratics. CP p. 135-136 CP p. 137 #1 – 7 Text p. 355 #21         p. 391 #11 – 14   HW pages can be downloaded here Thu Dec 6 Review We will discuss test topics and practice our skills with quadratics. CP p. 137 – 138 CP p. 139 – 140 Text p. 404 #12, 23, 26 Text p. 429 (Practice Test) Optional Review:  Text p. 418 – 428 Fri Dec 7 Optimization Problems – Day 2 To practice our skills with solving max/min problems involving quadratics. CP p. 138 Text p. 355 #22        p. 391 #15 – 18, 20, 23 Mon Dec 10 UNIT TEST #4 UNIT TEST #4