MHF4U - Planning : Fall 2017 Planning

1 | Month | Week Day | Date | Strand | Overall Expectation | Topic | Inquiry/Lesson | Notes | Practice | Consolidation/PRactice | Extra Resources | Resources (Slide Decks, blog posts, etc) | |||||||||||||
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2 | Sept | Tues | 5 | First Day intro --- | Math Processes | Warm Up - Getting to know you. | Pyramid of Pennies | Students work in random groups to build teams and comfort with VNPS. Consolidate with discussion on taking a problem....using a model (formula, graph, table, etc,) determining an answer. Golden rule of math. Build a cubic together. Assign homework set 1 | homework set 1 | Make notes on function notation and the golden rule of math | Desmos graph to build together | ||||||||||||||

3 | Sept | Wed | 6 | PRoblem Solving | Math Processes | Day 2 problem solving challenges | Clock Problem | Take up homework Vertically. We complete a few more factoring problems. Outlining the area model and decomposition. Students worked on the clock problem. | hw 2 | ||||||||||||||||

4 | Sept | Thurs | 7 | Characteristics | Characteristics of functions | Properties of Functions | Polygraph & Sketch | Polygraph to start and generate characteristic discussion. Give a graph and have them pick out all of the characteristics ... put on recording sheet --- Desmos activity. Have then sketch some basic functions with these properties -- Desmos. Give them one of the graphs from alex's set. (different from rest of class) have them draw on chart paper. List all characteristics. Use as a gallery walk. Show graph, cover the key characteristics...flip up when ready to check | hw 3 | Polygraph: Function Jumble | Characteristics of functions | Graphs | |||||||||||||

5 | Sept | Fri | 8 | Characteristics | Properties of Functions | Sketching graphs with characteristics | Continued the activity from Thursday | hw 4 | |||||||||||||||||

6 | Sept | Mon | 11 | Characteristics | Matching Graphs to Equations (parent Functions) | Basic Functions | Note on even vs. odd functions. - Sketch graphs on whiteboards Each group builds the key properties basic parent functions. Key points, practice graphing, Note on even vs. odd functions (Recognize graphs of even and odd functions). | Basic Functions - Handout | Basic Function Chart | Even & Odd From Smart Notebook | |||||||||||||||

7 | Sept | Tues | 12 | All strands | Transformations | Match My Function on Desmos | Using function notation and the basic parent graphs...have students match equations to graphs. Consolidate by showing mapping notation and moving key points. | Desmos Match My Function | Note on transformations | ||||||||||||||||

8 | Sept | Wed | 13 | All strands | Transformations | Graphing | Focus on graphing by hand tough questions | hw 6 | Use smartboard notes | ||||||||||||||||

9 | Sept | Thurs | 14 | Characteristics | Average Rates of Change | Graphing | Use Smartboard notes for average rates and secants. Practice with Random winner game. | hw 7 | Use smartboard notes | Random Winner Keynote file | Desmos Graph for Run | ||||||||||||||

10 | Sept | Fri | 15 | Characteristics | Instantaneous Rates of Change | Rates of Change | Graphical, then table on Desmos, then equations. Use the demsos activity about estimating the speed of a car at exactly one moment. Move into showing how to use the difference quotient to calculate IROC. | Students completed the second example on using the table to estimate IROC | Handout | Desmos Activity | |||||||||||||||

11 | Sept | Mon | 18 | Characteristics | Instantaneous Rates of Change | Rates of Change | We did not introduce the difference quotient last class. Today we will and do hw set 8 | ||||||||||||||||||

12 | Sept | Tues | 19 | Characteristics | Review | Characteristics | Review for test | ||||||||||||||||||

13 | Sept | Wed | 20 | Characteristics | Test # 1 | Characteristics | Test | ||||||||||||||||||

14 | Sept | Thurs | 21 | Polynomials | Equations of Polynomials | Many Many Volumes | THis is the link between creating equations and graphs. | Handout | |||||||||||||||||

15 | Sept | Fri | 22 | Polynomials | Linking degree with zeros, local max/mins, | Whiteboard questions | Students took notes on linking degree and leading coefficient to shape of polynmials | #1-7, 17 starting on page 24 | |||||||||||||||||

16 | Sept | mon | 25 | Polynomials | Linking degree with zeros, local max/mins, | Whiteboard questions | VNPS work to start class. with 1.2 from smartNotebook. Then graph equations in factored form to look for zeros. | Complete | |||||||||||||||||

17 | Sept | Tues | 26 | Polynomials | Equations of Polynomials | Match my Poly | Complete the Desmos activity to build equations - Focus on finding the a-value | page: 39: Core: 1-3,6, Build: 5, 7 PUSH: 11,12 | |||||||||||||||||

18 | Wed | 27 | Polynomials | More equations | page 74: CORE: 4,5,6,7,9,,10,11. BUILD: 13,page 79 #12,13 | ||||||||||||||||||||

19 | Thurs | 28 | Polynomials | Read ahead: The remainder theorem and dividing polynomials. | page 91 CORE: 1,2,3, 7 | Videos on remainder thm. | |||||||||||||||||||

20 | PD Day | ||||||||||||||||||||||||

21 | Mon | 2 | Poly | Remainder Theorem | Guided Examples | Show students the progression of dividing....show both the algorithm and the area model | page 91 #8,9,10,12,14 | Picture of the Progression | quiz | ||||||||||||||||

22 | Tues | 3 | Poly | Factor Theorem | Guided Examples | Used the smart notebook files to introduce the factor theorem and factoring polynomials. | page 102 CORE #1-3,6aeg. 8,BUILD: 9,11a,c,e PUSH: 15, 18, 19 | Handout Problem Set 1 | |||||||||||||||||

23 | Wed | 4 | Poly | Factoring & Graphing | Two Truths & one lie | Complete Two Truths & One Lie with polynomials. Students create their own equation and two T and one L. | Homework Set 9 | ||||||||||||||||||

24 | Thurs | 5 | Poly | Solving Equations | BOX Problem | Have students think about solving a partially factored equation. Make them recall that just because a polynomial is not factorable it may still have zeros. Next Students solve the box problem with a given value for the volume. Discuss extraneous roots. | page 101 Core: 1,3eol, 6,11,19, BUILD: 8,14, PUSH: 17,18 | ||||||||||||||||||

25 | Fri | 6 | poly | Strength Problems DUE | Solving Factorable polynomial Inequalities | Desmos Activity | As a class we walked through how the difference between equations and inequalities with the desmos activity. After the activity we completed examples on the boards. | page 138 CORE: 4, 7, BUILD: 8,9, PUSH #12 | |||||||||||||||||

26 | Tues | 10 | Poly | Re-take test 1 | Solving Equations and Inequalities | Speed Dating or Appointment Clock | REVIEW: Page 140 #1-7, 9-11, 14, 17,18. Page 142 #1-6, 8-11,13,16,17 | ||||||||||||||||||

27 | Wed | 11 | poly | Review | work on review problems for the period. | REVIEW: Page 140 #1-7, 9-11, 14, 17,18. Page 142 #1-6, 8-11,13,16,17 | |||||||||||||||||||

28 | Thurs | 12 | Poly | Test 2 | |||||||||||||||||||||

29 | Fri | 13 | Rational Functions | PS #1 DUE | Discovering Rational Functions | Sam Shah's packet for building up rational functions. | |||||||||||||||||||

30 | Mon | 16 | Rational Functions | Mr. Orr away | Identifying key properties of rational functions | Complete rational functions 2 sheet | |||||||||||||||||||

31 | Tues | 17 | Rational Functions | End Behaviour of rational functions | Before completing the next booklet. We'll stop and start to piece parts together. We'll write the equations of some functions. Complete rational functions 3 sheet | ||||||||||||||||||||

32 | Wed | 18 | Rational Functions | Putting it all together. | Headbandz | students identified zeros, asymptotes, holes from a variety of equations. They wrote equations based on graphs. We played rational functions headbadz. | Homework Set 10 | ||||||||||||||||||

33 | Thurs | 19 | Rational Functions | Sketching Functions | Desmos Lesson to start | Sketch a variety of functions using a sign analysis chart | Sam Shah's Rational Function 4 | ||||||||||||||||||

34 | Fri | 20 | Mr. Orr away | Sketching Functions | Students worked on Booklet 4 | ||||||||||||||||||||

35 | Mon | 23 | Rational | Sketching Functions | Start class with taking up booklet 4. Assign each pair a question to put up around the room. Gallery walk to check answers. | Handout out problem set 2 | |||||||||||||||||||

36 | Tues | 24 | Rational | Solving Equations | Direct Instruction | Students will solve various equations in a lecture format | CORE: page 184 #2,6,9. BUILD: 17abc. PUSH: 18 | ||||||||||||||||||

37 | Wed | 25 | Solving inequalities | Students worked on 4 Inequalities around the room . | |||||||||||||||||||||

38 | THurs | 26 | STENGTH DUE | Solving Application problems | Rates of change and Application problems | ||||||||||||||||||||

39 | Fri | 27 | PD Day | ||||||||||||||||||||||

40 | Mon | 30 | RE-TEST | Review | Students will work on review questions during this period to prepare for the test | ||||||||||||||||||||

41 | Tues | 31 | TEST 2 | ||||||||||||||||||||||

42 | Wed | 1 | Probem set 3 due | Take your kid to work day | Getting ready section from chapter 4 | Jim will teach the lesson on radian measure. | |||||||||||||||||||

43 | Thurs | 2 | Trigonometry | Unit Circle & Special Angles | Unit Circle and Special Angles | Use special angles to develop exact values. Introduce the unit circle. Use cut outs to move the triangles around the circle. | Unit Circle Diagram | ||||||||||||||||||

44 | Fri | 3 | Trigonometry | Unit Circle & Special Angles | Unit Circle and Special Angles | Use special angles to develop exact values. Introduce the unit circle. Use cut outs to move the triangles around the circle. | Unit Circle Diagram | ||||||||||||||||||

45 | Mon | 6 | Trigonometry | Unit Circle & Special Angles | Unit Circle and Special Angles | Play war for half the class with circle. Play war for half the class without circle | Trig War | ||||||||||||||||||

46 | Tues | 7 | Trigonometry | Practice special angle skills | |||||||||||||||||||||

47 | WEd | 8 | Trigonometry | Compound formulas | page 233 CORE: #1-6, BUILD #8,9. PUSH: | page 233 CORE: #1-6, BUILD #8,9. PUSH: | |||||||||||||||||||

48 | thurs | 9 | Trigonometry | Prove identities - Co Function | |||||||||||||||||||||

49 | fri | 10 | Trigonometry | away | Prove identities | hand out problem set 3 | |||||||||||||||||||

50 | Mon | 13 | Trigonometry | prove identities | |||||||||||||||||||||

51 | Tues | 14 | trigonometry | away | Graphs of Sine, cosine and match my trig function | ||||||||||||||||||||

52 | Wed | 15 | trigonometry | Intro to Trig Function Transformations | Match My Trig Function | Students will work through the Match My Trig Function Activity. | Match My Trig FUnction with partner challenge | page. 276 #3-6/ | |||||||||||||||||

53 | thurs | 16 | trigonometry | Equations | Desmos Functions to create equations for. | Practiced more with finding equations. Need to include one where we read a description....find an equation for it....then determine a value. | page 276. #10,--- | ||||||||||||||||||

54 | Fri | 17 | trigonometry | Re-test for unit 3 | Modelling Real World Applications | VNPS for first | Modelling with Sinusoidal functions. | Used these for questions | |||||||||||||||||

55 | mon | 20 | trigonometry | Solving Equations | Ferris Wheel | Solved equations starting with generating a need with the ferris wheel video | |||||||||||||||||||

56 | tues | 21 | trigonometry | Assignment Due | Solving Equations | Ferris wheel as a means to show solving | Students vertically completed the Sinusoidal modelling questions again but with solving equations | https://www.desmos.com/calculator/2ukozt09pf | |||||||||||||||||

57 | Wed | 22 | trigonometry | Solving Equations | Solving with exact values and quadratic trig equations | ||||||||||||||||||||

58 | thurs | 23 | trigonometry | Rates of Change | Determine the instantaneous rate of change.......on the wall...generate a need to show why the table version only works. Assign practice questions to keep going. | ||||||||||||||||||||

59 | Fri | 24 | trigonometry | PD DAY | |||||||||||||||||||||

60 | mon | 27 | trigonometry | Review | |||||||||||||||||||||

61 | tues | 28 | trigonometry | Review | |||||||||||||||||||||

62 | Wed | 29 | trigonometry | Test | |||||||||||||||||||||

63 | thurs | 30 | Exp & Logs | Intro to exponential & logarithmic functions | Domino Skyscraper | Use the video to generate curiosity. Have them guess at how many. Section off the class into groups, each to create models on the different variables. | Al's Lesson | Al's Blog | |||||||||||||||||

64 | Fri | 1 | Exp & Logs | Exponential & Logarithmic Functions | Domino Skyscraper | Continues the dominoe activity. Stop the class half way through and ask them to find the reverse graph, reverse table, Introduce logarithms from the Smart Notebook file. If time go back and write the equation of the inverse | Al's Lesson | ||||||||||||||||||

65 | Mon | 4 | Exp & Logs | Exponential & Logarithmic Functions | Game of War & Transformations | Introduction to the log function. Solve your inverse problem with your equation. Play Game of War | Log War | Desmos Activity | Homework Set 9 | ||||||||||||||||

66 | Tues | 5 | Exp & Logs | Transformations | Tweet | ||||||||||||||||||||

67 | WEd | 6 | Exp & Logs | Change of base rule, power rule | Guided Examples | Introducing Rules for Logs (power rule and change of base rule). | |||||||||||||||||||

68 | Thurs | 7 | Exp & Logs | Solving Exponential Equations | Guided Examples | Students worked on practice problems with logarithms | page 347 #1-9, #11-14, 16 | ||||||||||||||||||

69 | Fri | 8 | Exp & Logs | away | Give out Problems Set 4 | ||||||||||||||||||||

70 | Mon | 11 | Exp & Logs | Speed Dating | Examples from the Smart Notebook | Speed Dating Problems | |||||||||||||||||||

71 | Tues | 12 | Exp & Logs | Solving Exponential Equations | BUS DAY | ||||||||||||||||||||

72 | Wed | 13 | Exp & Logs | Solving Exponential Equations | Mr. ORR AWAY | ||||||||||||||||||||

73 | Thurs | 14 | Exp & Logs | Solving Exponential Equations | BUS DAY | Spent some time solving exponential equations. | |||||||||||||||||||

74 | Fri | 15 | Exp & Logs | Solving Exponential Equations | |||||||||||||||||||||

75 | Mon | 18 | 7.3 | Examples from the smart notebook file 7.3 | page: 384 #1-7, 10,18 | ||||||||||||||||||||

76 | Tues | 19 | 7.4 Solving log equations | VNPS Problems | Solve Log Equations | ||||||||||||||||||||

77 | Wed | 20 | 7.5 | ||||||||||||||||||||||

78 | Thurs | 21 | Review | ||||||||||||||||||||||

79 | Fri | 22 | NO DAY | ||||||||||||||||||||||

80 | Jan | Mon | 8 | Review | |||||||||||||||||||||

81 | Tues | 9 | Review/ Practice PRoblems | ||||||||||||||||||||||

82 | Wed | 10 | TEST 5 | ||||||||||||||||||||||

83 | Thurs | 11 | Combined Functions | Desmos activity to introduce students to addition and sum of functions | |||||||||||||||||||||

84 | Fri | 12 | Combined Functions | Complete the Mamas & Poppas activity from OAME | |||||||||||||||||||||

85 | Mon | 15 | Combined Functions | Complete the Multiplciation activity from OAME | |||||||||||||||||||||

86 | Tues | 16 | Combined Functions | Complete the Division activity from OAME | |||||||||||||||||||||

87 | Wed | 17 | Combined Functions | Composite Functions | |||||||||||||||||||||

88 | Thurs | 18 | Combined Functions | ||||||||||||||||||||||

89 | Fri | 19 | EXAM REVIEW | Get Organized Day. | |||||||||||||||||||||

90 | Mon | 22 | EXAM REVIEW | Solving Equations Day 1 | |||||||||||||||||||||

91 | Tues | EXAM REVIEW | Solving Equations Day 2 | ||||||||||||||||||||||

92 | wed | EXAM REVIEW | Inequalities Review | ||||||||||||||||||||||

93 | Thurs | EXAM REVIEW | Rates Review | ||||||||||||||||||||||

94 | EXAMS |