MHF4U - Planning : 2016 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 | 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. Assign homework set 1 | Homework Set | Make notes on function notation and the golden rule of math | ||||||||||||||||

3 | Sept | Wed | PRoblem Solving | Math Processes | Day 2 problem solving challenges | Stacking Cups | Take up homework Vertically. Hand in. Students start with WODB activity from David Griswald. Continue into Noah's Arc problem. | Homework set 2 | WODB Activity | ||||||||||||||||

4 | Sept | Thurs | Characteristics | Grade 9 Orientation day. Some students were away. Did not start first lesson. | |||||||||||||||||||||

5 | Sept | Fri | 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 | Homework Set 3 | Polygraph: Function Jumble | Characteristics of functions | |||||||||||||||

6 | Sept | Mon | Characteristics | Properties of Functions | Continued the activity from friday. | Homework set 4 | |||||||||||||||||||

7 | Sept | Tues | characteristics | Matching Graphs to Equations (parent Functions) | Basic Functions | 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). | Homework Set 5 | Basic Functions - Handout | |||||||||||||||||

8 | Sept | Wed | 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. | Homework Set 6 | Desmos Match My Function | |||||||||||||||||

9 | Sept | Thurs | All strands | Transformations | Open Questions on whiteboards | Focus on graphing by hand tough questions | Homework Set 7 | Use smartboard notes | |||||||||||||||||

10 | Sept | Fri | Exponential & Logarithmic Functions | 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 Blog | ||||||||||||||||||

11 | Sept | Mon | Exponential & Logarithmic Functions | Intro to 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, and solve a reverse question | Homework Set 8 | ||||||||||||||||||

12 | Sept | Tues | I was away sick | Quiz!!! | |||||||||||||||||||||

13 | Sept | Wed | Exponential & Logarithmic Functions | Log function | Game of War | Introduction to the log function. Solve your inverse problem with your equation. Play Game of War | Homework Set 9 | ||||||||||||||||||

14 | Sept | Thurs | Exponential & Logarithmic Functions | Log function | Desmos Activity | As a graph. Create a basic graph for log functions.Use the desmos activity on transformations. Have students draw some for homework. | Homework Set 10 | Transormations of Log functions | |||||||||||||||||

15 | Sept | Fri | Polynomials | Equations of Polynomials | Many Many Volumes | THis is the link between creating equations and graphs. Assign 1.2 Characteristics of polynomials from the website for homework. | 1.2 from website | ||||||||||||||||||

16 | Sept | Mon | Polynomials | Linking degree with zeros, local max/mins, | Whiteboard questions | Complete 1.2 From Smartnotebook on linking degree with zeros, local max mins, and end behaviour. | Textbook: Page 26 #2,7,11 | ||||||||||||||||||

17 | Sept | Tues | Polynomials | Characteristics of Polynomials | Desmos Activity Match That Polynomial | Goal: determine zeros and the order of those zeros. Graph polynomials in factored form. | |||||||||||||||||||

18 | S | Wed | Polynomials | Families of Polynomials | Contiue the work from last class. | Writing Equations and sketching polynomials. Use slides from Smart Notebook | Homework Set 12 | ||||||||||||||||||

19 | S | Thurs | Review | Cycle 1 Review | Random Winner Game | Review Problems: Random Winner Game | Complete any unfinished problems | ||||||||||||||||||

20 | S | Fri | PD DAY | ||||||||||||||||||||||

21 | O | Mon | 3 | Review | Cycle 1 Review | Review Problems | From Textbook | ||||||||||||||||||

22 | O | Tues | 4 | Rational Functions | Discovering Rational Functions | Sam Shah's packet for building up rational functions. | |||||||||||||||||||

23 | O | Wed | 5 | Cycle 1 Test | |||||||||||||||||||||

24 | O | THurs | 6 | Cycle 1 Test | Finish test:Complete going to Camp | ||||||||||||||||||||

25 | O | Fri | 7 | Rational Functions & Combinations of functions | Graphing | Take up booklet from Tues. Create a note on discontinuities and their equations. Have students write equations of possible graphs. | Homework Set 13. | ||||||||||||||||||

26 | O | Tues | 11 | Rational Functions | Identifying key properties of rational functions | Complete rational functions 2 sheet | |||||||||||||||||||

27 | O | Wed | 12 | Rational Functions | End Behaviour of rational functions | Complete rational functions 3 sheet | |||||||||||||||||||

28 | O | Thurs | 13 | 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 14 | |||||||||||||||||

29 | Fri | 14 | Rational Functions | Putting it all together. | VNPS problems | Practice creating equations from textbook on rational functions | |||||||||||||||||||

30 | Mon | 17 | Logs | Change of base rule, power rule | Guided Examples | Introducing Rules for Logs (power rule and change of base rule). | Homework Set 15 | ||||||||||||||||||

31 | Tues | 18 | Logs | Solving Exponential Equations | Speed Dating | Completed some examples on solving exponential equations. Played speed dating to practice | page. 368 #1-7 | Speed Dating Problems | |||||||||||||||||

32 | Wed | 19 | Exponential & Logarithmic Functions | MR.ORR AWAY | Practice solving exponential equations | Page 375 # 1-5, 8,9,15,17. | |||||||||||||||||||

33 | Thurs | 20 | Polynomials | Remainder Theorem | Mr. Orr Away | Students started 2.1 Remainder Theorem from the website. They would have practiced dividing polynomials | 2.1 From Website | ||||||||||||||||||

34 | Fri | 21 | Polynomials | 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 | |||||||||||||||||

35 | Mon | 24 | Polynomials | Factor Theorem | Guided Examples | Used the smart notebook files to introduce the factor theorem and factoring polynomials. | page 102 #1-3,6aeg. 8,9,11c | ||||||||||||||||||

36 | Tues | 25 | Polynomials | Factoring & Graphing | Two Truths & one lie | Complete Two Truths & One Lie with polynomials, rationals and logarithms. Students create their own equation and two T and one L. | Quiz | Problem For TTOL | |||||||||||||||||

37 | Wed | 26 | Radians | Introduction to Radians | Geogebra SKetch | Show a degree...arbitrary measure. Show Geogebra sketch. Ask for how many will go around. take guesses. Then show that half a radian is half the arc length divded by the radius. therefore the angle is calculated by the arc length by the radius. Show the conversions | pg. 208 #5-9 Homework set 16 | Geogebra App - Radian Measure | |||||||||||||||||

38 | Thurs | 27 | Radians | Applications of Radian Measure | Trig Whips & Elmo | Start class with Dan Meyer's Bike Dots Estimation. Have student investigate the idea of angular velocity vs. Linear velocity. Use Trig Whips activity....then solve Elmo's problem. | pg. 208 #10,16,19,21 | Dan Meyer's Bike Dots | Bob Lochel's Trig Whips | Crazy Dive Video -- How fast does the top guy hit the water? | |||||||||||||||

39 | Fri | 28 | PD DAY | ||||||||||||||||||||||

40 | Mon | 31 | Rates of change | Mr. Orr is away | Students investigated average rates of change in the textbook | All functions | |||||||||||||||||||

41 | Tues | 1 | Rates of change | Average Rates of change | Dan's Graphing Story with Elevation vs. TIme. | Students sketched their prediction of Dan's Run. Revealed the graph on desmos. Played Grudge match to practice finding average rates of change. | Grudge Match | ||||||||||||||||||

42 | Wed | 2 | Rates of change | Problem set | Assignment | Students worked on the Cycle 2 problem set | Cycle 2 Problem Set | ||||||||||||||||||

43 | Thurs | 3 | Rates of change | Instantaneous rates of change. | How Fast at exactly 3:02pm? | Students worked on calculting instantaneous rates of change. | Desmos Activity | Handout | |||||||||||||||||

44 | Fri | 4 | All | All | Practice | Random Winner Game | Students practiced various problems from this cycle in pairs. | Questions | |||||||||||||||||

45 | Mon | 7 | All | Mr. Orr was away | Review from the textbook | ||||||||||||||||||||

46 | Tues | 8 | All | Mr. Orr was away | Complete old exam | ||||||||||||||||||||

47 | Wed | 9 | All | Review | Review questions since mr. Orr was away for 2 days. | ||||||||||||||||||||

48 | Thurs | 10 | Cycle 2 Test | ||||||||||||||||||||||

49 | Fri | 11 | 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. | Homework Set 17 | Unit Circle Diagram | |||||||||||||||||

50 | Mon | 14 | Trigonometry | Determining exact values | Played the game of War with special angles. Used the unit circle | Trig War blog post | |||||||||||||||||||

51 | Tues | 15 | Trigonometry | Exact values | Played the game of war without the use of the unit circle. Pay carful attention to tan | Homework Set 18 | |||||||||||||||||||

52 | Wed | 16 | Trigonometry | Comound formula & Identities | Guided Examples | Use the Smart Notebook file to show the 4 formulas. | Pg. 233 #3,8,9,14 | ||||||||||||||||||

53 | Thurs | 17 | Trigonometry | Identities | . Prove identities | page 240 #3-10. | |||||||||||||||||||

54 | Fri | 18 | Trigonometry | Identities | Proving Identities | From Sheet | |||||||||||||||||||

55 | Mon | 21 | Trigonometry | Identities | VNPS Problems | Proving Identities & Continue with finding exact values for non-special angles | Homework Set 19 | ||||||||||||||||||

56 | Tues | 22 | Rational | Sketching Functions | Desmos Lesson to start | Sketch a variety of functions using a sign analysis chart | Sam Shah's Rational Function 4 | ||||||||||||||||||

57 | Wed | 23 | Rational | Sketching Functions | Continue the booklet from last class in sketching rational functions | ||||||||||||||||||||

58 | Thurs | 24 | Rational | Sketching Functions | Problem Set Handout | ||||||||||||||||||||

59 | Fri | 25 | PD DAY | ||||||||||||||||||||||

60 | Mon | 28 | Logarithms Rules | Product & Quotient Laws | Guided Examples | Product & Quotient law notes from the smartboard file. | Page 384 #1,3,4,6,9,10. | ||||||||||||||||||

61 | Tues | 29 | Solving Equations | Solving log equations | VNPS Problems | Solve Log Equations | Homework Set 20 | ||||||||||||||||||

62 | Wed | 30 | Solving Equations | Solving Polynomial & rational equations | VNPS Problems | Recall the box problem and solve an equation vertically on the walls. Continue to solve problems on the walls for the remainder of class. | Homework Set 21 | ||||||||||||||||||

63 | Thurs | 1 | Solving Equations | Two Truths & One Lie | Solve a variety | Problems | Problem Set Due | ||||||||||||||||||

64 | Fri | 2 | Review | Review | Completed a Cycle 3 Review set | ||||||||||||||||||||

65 | Mon | 5 | Review | Complete problems from the textbook | |||||||||||||||||||||

66 | Tues | 6 | Cycle 3 Test | ||||||||||||||||||||||

67 | Wed | 7 | Trigonometry | Intro to Trig Function Transformations | Match My Trig Function | We'll take a note on the key properties of the graphs of sine and cosine using the two desmos sketches. Students will work through the Match My Trig Function Activity. End class by sketching some by hand | Homework Set 22 | Desmos File to show y=sinx in terms of the unit circle. | Desmos File to show y=cosx in terms of the unit circle | ||||||||||||||||

68 | Thurs | 8 | Trigonometry | Graphing trig functions | Desmos Functions to create equations for. | Took up homework. Interchanged with graphing by hand and creating equations to match graphs from the desmos sketch of 6 functions. We got through the first 3 functions. | Page. 275 #3,4,8,9. | ||||||||||||||||||

69 | Fri | 9 | 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,--- | ||||||||||||||||||

70 | Mon | 12 | Trigonometry | Solving problems | Bus Day | Practiced with finding equations of trig functions Two truths and a lie | Used these for questions | ||||||||||||||||||

71 | Tues | 13 | Trigonometry | Solve Equations | Ferris Wheel | Solved equations starting with generating a need with the ferris wheel video | Homework Set 23 | Graphs to verify answers | |||||||||||||||||

72 | Wed | 14 | Trigonometry | Solve Equations | Guided Examples | with exact values | |||||||||||||||||||

73 | Thurs | 15 | Trigonometry | Rates of change | Burning Daylight | Took up homework...Ss worked at their own pace through the modified Burning Daylight activity. They struggled through solving the equations and no one made it to the average and instantaneous rates of change problems. Still assigned some for homework | page 297 #3,4,6,7 | ||||||||||||||||||

74 | Fri | 16 | Trigonometry | Solving problems in trigonometry | Take up an instantaneous rate question from the homework | Solving problems: Random Winner Game | Problems for Random Winner | ||||||||||||||||||

75 | Mon | 19 | Solving Equations | Solving Equations of all functions | Group solving one type | In groups students are given one equation type to solve and create a How To poster. For the remainder of the period they are to practice solving equations of that type. | Solving Equations resource | ||||||||||||||||||

76 | Tues | 20 | Solving Equations | Solving Equations of all functions | Break out and solve many types | Students trade slips from last class. They solve equations for other function types all period. | Solving Equations resource | ||||||||||||||||||

77 | Wed | 21 | Solving Equations | Solving Equations of all functions | Show how | Solving quadratic sinusoidal and exponential equations. | Homework Set 25 | ||||||||||||||||||

78 | Thurs | 22 | Solving Equations | Solving Equations of all functions | Guided Examples | Solving quadratic sinusoidal and exponential equations - Gave out old exam | |||||||||||||||||||

79 | Fri | 23 | Last day before Holidays | Assembly | |||||||||||||||||||||

80 | January | Mon | 9 | All | Review | Review Questions from the textbook | |||||||||||||||||||

81 | Tues | 10 | All | Review | Pass out a copy of an old test | ||||||||||||||||||||

82 | Wed | 11 | Cycle 4 Test | ||||||||||||||||||||||

83 | Thurs | 12 | Polynomial | 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 #2-4, 6 | ||||||||||||||||||

84 | Fri | 13 | Rational | Solving rational inequalities too | Guided Examples | We walked through examples from the Smart Notebook on solving rational inequalites with the focus on graphing the inequality and a sign analysis diagram. | textbook | ||||||||||||||||||

85 | Mon | 16 | Polynomial & Rational | Solving Both type of inequalites. | Appointment Clock | Students used the appointment clock structure to practice solving inequalities. | textbook | Inequalities | |||||||||||||||||

86 | Tues | 17 | Bus Cancelled | ||||||||||||||||||||||

87 | Wed | 18 | All | Even & Odd Functions | Slide Show | Use the slide show from Meg Craig to show the differences. Walk through how to verify algebraically if a polynomial is even or odd. | Slide Show | ||||||||||||||||||

88 | Thurs | 19 | All | Combining Functions: Adding, Subtracting, Multiplying | Desmos Activity | Started with Desmos Activity and finished with practicing problems from the book. | page 425 #6,8,9. Page 436 #17 | ||||||||||||||||||

89 | Fri | 20 | All | Combining Functions: Dividing Functions | Graph tanx, secx, cscx plus a few more. | page 435 #4,8,9 | |||||||||||||||||||

90 | Mon | 23 | Review | Exam Review | Review rates of change | In stations studens will complete 3 or 4 rates of change problems. Each station is a different function type. Give the sum of the 4 answers. Let them determine which of their problems need fixing if any. | Sum It Up | Review Package | |||||||||||||||||

91 | Tues | 24 | Review | bus Day | Exam Review | Course Review from the textbook | |||||||||||||||||||

92 | Wed | 25 | Reivew | Exam Review | Exam Review | ||||||||||||||||||||

93 | Thurs | 26 | Review | Exam Review | Exam Review | ||||||||||||||||||||

94 | Fri | 27 | EXAMS |