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 Vertex Form of Quadratic May 2 Quiz Completing the Square May 8 Quiz Quadratic so far May 17 In-class Assignment Quadratics Assignment May 22 Unit Test #4 All of unit 4 May 25

Unit 4:  Quadratic Functions

 Date Topic/Learning goals Daily Work/Assignments Tue Apr 24 Relations and Finite Differences We will learn how to identify if a relation is quadratic based on finite differences. Handout p. 102 – 104 Wed Apr 25 Intro to Quadratic relations Part 1 We will use a computer based activity to become familiar with the characteristics of quadratic relations. Thu Apr 26 Intro to Quadratic relations Part 2 We will learn how to graph parabolas based on “Step Pattern”. Handout p. 105 – 108 Fri Apr 27 Exploring Quadratic Relations How do the values of a, h and k affect the parabola – Translation. Find equation of parabola based on vertex/zeros and a point. Handout p. 109 – 111 Mon Apr 30 Vertex Form and Graphing We will be graphing a quadratic function using the step pattern, and determine how a effects the graph. Handout p. 112 Tue May 1 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 Wed May 2 Quiz - Vertex Form of Quadratic   Completing the square – Part 1 To learn to convert the equation of a simple trinomial from standard form to vertex form. Handout p. 113 Thu May 3 Completing the square – Part 2 + Practice To learn to convert the equation of a complex trinomial from standard form to vertex form. Fri May 4 PD Day – No Classes Mon May 7 Solving by completing the square To learn how to solve quadratic equations using completing the square. Handout p. 115 Tue May 8 Quiz – Completing the Square Factored Form We will use our knowledge of factoring to represent quadratic formulas in factored form Handout p. 116-118 Wed May 9 Graphing using Factored Form We will use our knowledge of factoring to represent quadratic formulas in factored form and then graph using 5 points method Handout p. 119-123 Thu-Fri May 10-11 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)   Click here for summary Handout Mon May 14 Optimization Problems – Day 1 We will develop a strategy for solving max/min problems involving quadratics.   Class Notes Handout p. 128 129 (Odd #s) Tue May 15 Optimization Problems – Day 2 To practice our skills with solving max/min problems involving quadratics. Handout p. 129 (Even #s) Wed May 16 Quadratic Formula We will develop the quadratic formula and use it to solve quadratic equations. Thu May 17 Quiz – Quadratics So far   Quadratic Formula – Discriminant To determine how many roots a quadratic equation has using the discriminant.  We will practice our skills with solving quadratic equations. Fri May 18 Quadratic Assignment Practice methods of solving quadratics Mon May 21 Victoria Day Tue May 22 Quadratic Assignment – Work Period Practice methods of solving quadratics Wed May 23 Solving Quadratic Problems To use our skills with solving equations to solve quadratic word problems. Non-negativity of Perfect Squares Handout p. 126 Thu May 24 Review We will discuss test topics and practice our skills with quadratics. More practice here Fri May 25 UNIT TEST #4 UNIT TEST #4