June 6: Presentations
To do:
1. No homework unless you need to finish "Integration by parts" assignment.
To do:
1. No homework unless you need to finish "Integration by parts" assignment.
June 3: Presentations
To do:
1. No homework unless you need to finish "Integration by parts" assignment.
To do:
1. No homework unless you need to finish "Integration by parts" assignment.
June 2: Final Assessment Presentations.
No homework.
No homework.
June 1: Work period - practice integration by parts
No handouts given in class.
To do:
1. Prepare to present you final project.
No handouts given in class.
To do:
1. Prepare to present you final project.
Bring back your textbook please!
May 31: Final Presentation Research in the library
No handout given in class.
To do:
1. Work on your presentation.
No handout given in class.
To do:
1. Work on your presentation.
May 30: Final Presentation Research in the library
No handout given in class.
To do:
1. Work on your presentation.
No handout given in class.
To do:
1. Work on your presentation.
May 27: Integration by Parts
Handout given in class:
c12_integration_by_parts.pdf
To do:
1. Using a separate sheet of paper to show all your work, complete the worksheet. This is mandatory, due for marks on Tuesday, May 31.
Handout given in class:
c12_integration_by_parts.pdf
To do:
1. Using a separate sheet of paper to show all your work, complete the worksheet. This is mandatory, due for marks on Tuesday, May 31.
May 26: Integration by substitution
Handouts given in class:
c12_integration_by_substitution_power_rule.pdf
c12_integration_by_substitution_trig.pdf
c12_integration_by_substitution_logs_and_exp.pdf
To do:
1. complete as many equations as you can, check your answers using the links above. You can turn any of the worksheets in for extra marks.
Handouts given in class:
c12_integration_by_substitution_power_rule.pdf
c12_integration_by_substitution_trig.pdf
c12_integration_by_substitution_logs_and_exp.pdf
To do:
1. complete as many equations as you can, check your answers using the links above. You can turn any of the worksheets in for extra marks.
May 25: Research for the final project - library
No handouts given in class.
To do:
1. Work on your presentation
No handouts given in class.
To do:
1. Work on your presentation
May 24: Integration of Exponential, Logarithmic and Trigonometric Functions
Handouts given in class:
c12_integration_trig_functions_wit_answers.pdf
c12_integration_logs_and_exp_with_answers.pdf
To do:
1. Complete the two handouts and check your answers.
2. Textbook p 333 #27-40 - do as many questions as you can, check your answers using the solution manual in class
Handouts given in class:
c12_integration_trig_functions_wit_answers.pdf
c12_integration_logs_and_exp_with_answers.pdf
To do:
1. Complete the two handouts and check your answers.
2. Textbook p 333 #27-40 - do as many questions as you can, check your answers using the solution manual in class
May 20: Research for Final Assessment
Final assessment project checklist:
c12_final_presentation_checklist.pdf
Final assessment project checklist:
c12_final_presentation_checklist.pdf
May 19: Related Rates Test
No handouts given in class.
To do:
1. Textbook p 290 #1, #3, #19-26
No handouts given in class.
To do:
1. Textbook p 290 #1, #3, #19-26
May 18: MVT, application of derivatives to a graph of f(x) test
No handouts given in class.
To do:
1. Practice for Related rates test = test tomorrow.
2. Complete the Integration power rule worksheet and check your answers using the link from Tuesday (p3 and p4)
No handouts given in class.
To do:
1. Practice for Related rates test = test tomorrow.
2. Complete the Integration power rule worksheet and check your answers using the link from Tuesday (p3 and p4)
May 17: Rules of Integration, Power rule for Integration
Handout given in class:
c12_integration_power_rule.pdf
To do:
1. Practice for the Test = test is tomorrow.
Handout given in class:
c12_integration_power_rule.pdf
To do:
1. Practice for the Test = test is tomorrow.
May 16: Definite Integral - introduction
Handout given in class:
c12_approximating_area_undear_a_curve_.pdf
To do:
1. Complete the worksheet and check your answers using the link above.
2. Textbook p 283 answer 5 questions from #13-28
Handout given in class:
c12_approximating_area_undear_a_curve_.pdf
To do:
1. Complete the worksheet and check your answers using the link above.
2. Textbook p 283 answer 5 questions from #13-28
May 13: Particle Motion #2
Handouts given in class:
c12_particle_motion_2_assignment.pdf
To do:
1. Using a separate sheet of paper complete Particle Motion #2. Check your answers here: c12_partical_motion_2_answers.pdf. Please note that the answers provided are not about positive and negative acceleration, they give intervals for speeding up and slowing down. To determine positive and negative acceleration, carry out the concavity test.
This is due for marks on Tuesday.
2. Start studying for the MVT, maxima, concavity, increasing/decreasing test. This test is on Wednesday, May 18. Related Rates test on Thursday, May 19.
3. Start thinking about your final project (20% of your final grade). If you are not sure that your selected topic fits the criteria as described below, ask in class.
c12_final_presentation_checklist.pdf
Handouts given in class:
c12_particle_motion_2_assignment.pdf
To do:
1. Using a separate sheet of paper complete Particle Motion #2. Check your answers here: c12_partical_motion_2_answers.pdf. Please note that the answers provided are not about positive and negative acceleration, they give intervals for speeding up and slowing down. To determine positive and negative acceleration, carry out the concavity test.
This is due for marks on Tuesday.
2. Start studying for the MVT, maxima, concavity, increasing/decreasing test. This test is on Wednesday, May 18. Related Rates test on Thursday, May 19.
3. Start thinking about your final project (20% of your final grade). If you are not sure that your selected topic fits the criteria as described below, ask in class.
c12_final_presentation_checklist.pdf
May 12: Particle Motion #1
Handout given in class:
c12__particle_motion_1.pdf
To do:
1. Finish Optimization Handout - check your answers and hand in for extra marks.
2. Complete Particle Motion #1 - check your answers. You can hand this in for extra marks.
Handout given in class:
c12__particle_motion_1.pdf
To do:
1. Finish Optimization Handout - check your answers and hand in for extra marks.
2. Complete Particle Motion #1 - check your answers. You can hand this in for extra marks.
May 11: Optimization and Modelling
Handout given in class:
c12_optimization_assignment_with_answers.pdf
To do:
1. Complete question 1 in the handout. Check your answers with the answers on p 4 using the link above.
Handout given in class:
c12_optimization_assignment_with_answers.pdf
To do:
1. Complete question 1 in the handout. Check your answers with the answers on p 4 using the link above.
May 10: Related Rates - work period
No handouts given in class
To do:
1. Answer at least 10 questions on page 252-253, check answers with the full solution manual. (class work)
2. Answer 5 questions from p 252-253
No handouts given in class
To do:
1. Answer at least 10 questions on page 252-253, check answers with the full solution manual. (class work)
2. Answer 5 questions from p 252-253
May 9: Related Rates continued
No handout given in class:
To do:
1. Textbook questions 251-254 Do as many questions as you can (at least 10 from page 251) and check your answers with the solution manual.
No handout given in class:
To do:
1. Textbook questions 251-254 Do as many questions as you can (at least 10 from page 251) and check your answers with the solution manual.
May 6: Related rates:
Handouts given in class:
c12_related_rates_worksheet.pdf
c12_related_rates_notes.pdf
To do:
1. Make sure questions 1-3 in the handout are completed. You can also work on #4. We will finish this worksheet on Monday.
2. No other homework unless you have not turned in the MVT booklet.
Handouts given in class:
c12_related_rates_worksheet.pdf
c12_related_rates_notes.pdf
To do:
1. Make sure questions 1-3 in the handout are completed. You can also work on #4. We will finish this worksheet on Monday.
2. No other homework unless you have not turned in the MVT booklet.
May 5: Work period - applications of derivatives
No handouts given in class.
To do:
1. Continue your work on previous assignments if you have not completed them yet.
No handouts given in class.
To do:
1. Continue your work on previous assignments if you have not completed them yet.
May 4: Curve Sketching using derivative and concavity tests
Handout given in class:
c12_derivative_tests_and_curve_sketching.pdf
To do:
1. Complete the handout by Friday if you want to hand it in for extra marks. This is only for practice.
Handout given in class:
c12_derivative_tests_and_curve_sketching.pdf
To do:
1. Complete the handout by Friday if you want to hand it in for extra marks. This is only for practice.
May 3 - Second Derivative Test and definition of an inflection point
No handout given in class:
To do:
1. Copy the chart from p213 into your note package from last week.
2. Do as many questions as you can on p 215 #1-24
No handout given in class:
To do:
1. Copy the chart from p213 into your note package from last week.
2. Do as many questions as you can on p 215 #1-24
April 29:Concavity continued.
No handouts given in class.
To do:
1. Continue your work on the MVT booklet. This booklet is due for marks on Wednesday, May 4. Mandatory for marks.
No handouts given in class.
To do:
1. Continue your work on the MVT booklet. This booklet is due for marks on Wednesday, May 4. Mandatory for marks.
April 28: First Derivative Test for local extrema. Concavity
Handout given in class:
To do:
1. Page 7 in the MVT handout, #1 and 2.
2. Finish all questions except the Critical Thinking questions on page 1-4
Handout given in class:
To do:
1. Page 7 in the MVT handout, #1 and 2.
2. Finish all questions except the Critical Thinking questions on page 1-4
April 26-27: Intervals of Increase and Decrease
To do:
1. Complete at least 3 questions on p3 and 4 in the booklet.
To do:
1. Complete at least 3 questions on p3 and 4 in the booklet.
April 25: Mean Value Theorem
Handout given in class:
c12_mvt_and_other_applications_of_derivatives_notes.pdf
c12_mvt_and_othe_applications_of_derivatives_booklet.pdf
To do:
1. Ensure that at least 4 questions from p1 and p2 of the booklet are fully answered.
Handout given in class:
c12_mvt_and_other_applications_of_derivatives_notes.pdf
c12_mvt_and_othe_applications_of_derivatives_booklet.pdf
To do:
1. Ensure that at least 4 questions from p1 and p2 of the booklet are fully answered.
April 22: work period
No handouts given in class.
To do:
1. No HW if you are all caught up.
No handouts given in class.
To do:
1. No HW if you are all caught up.
April 21: Work period
No handouts given in class.
To do:
1. Finish the Absolute Extrema worksheet.
No handouts given in class.
To do:
1. Finish the Absolute Extrema worksheet.
April 20: Unit 4: Applications of Derivatives - Extreme Values of Functions
Handouts given in class:
c12_extreme_values_of_functions_notes.pdf
c12_absolute_extrema_worksheet.pdf
To do:
1. Complete the handout. This can be turned in for extra marks by Friday. This assignment is not mandatory.
Handouts given in class:
c12_extreme_values_of_functions_notes.pdf
c12_absolute_extrema_worksheet.pdf
To do:
1. Complete the handout. This can be turned in for extra marks by Friday. This assignment is not mandatory.
April 19: Implicit Differentiation Revisited
Handout given in class:
c12_implicit_differentiation_with_answers.pdf
To do:
1. Complete the handout, check/correct your answers. You can turn this worksheet for extra marks. This is not mandatory.
Handout given in class:
c12_implicit_differentiation_with_answers.pdf
To do:
1. Complete the handout, check/correct your answers. You can turn this worksheet for extra marks. This is not mandatory.
April 13: Work period
No handouts given in class
To do:
1. No homework unless you need to finish your portion of the poster project.
No handouts given in class
To do:
1. No homework unless you need to finish your portion of the poster project.
April 12: Chapter 3 Test
No handouts
To do:
1. No homework unless you still need to work on the poster.
No handouts
To do:
1. No homework unless you still need to work on the poster.
April 11: Pancake day.
Handout given in class:
To do:
1. Complete the handout. Turn it in for marks.
2. Study for the derivative Test - test is tomorrow.
Handout given in class:
To do:
1. Complete the handout. Turn it in for marks.
2. Study for the derivative Test - test is tomorrow.
April 8: Work Period - Ramanujan's Poster
No handout given out in class.
To do:
1. If you have not finished collecting information, pictures and creating text for the poster, do so.
2. Prepare for our Monday Cultural Pancake Exchange. Bring your favourite pancake batter/syrup/etc.
No handout given out in class.
To do:
1. If you have not finished collecting information, pictures and creating text for the poster, do so.
2. Prepare for our Monday Cultural Pancake Exchange. Bring your favourite pancake batter/syrup/etc.
Differentiation test on Tuesday, April 12.
April 7: Implicit Differentiation
Handouts given in class:
c12_differentiation_quiz_1.pdf
c12_implicity_differentiation_notes.pdf
To do:
1. Complete 5 practice questions from the board and check your work here: c12_implicit_differentiation_practice.pdf
2. Complete the take-home quiz. You can use your notes, but I recommend you try to answer all questions without your notes first. This is mandatory for marks, due on Monday.
3. Remember to bring your text/pictures as a pdf document on a key drive to print in school tomorrow. You are to work on the poster in class tomorrow.
Handouts given in class:
c12_differentiation_quiz_1.pdf
c12_implicity_differentiation_notes.pdf
To do:
1. Complete 5 practice questions from the board and check your work here: c12_implicit_differentiation_practice.pdf
2. Complete the take-home quiz. You can use your notes, but I recommend you try to answer all questions without your notes first. This is mandatory for marks, due on Monday.
3. Remember to bring your text/pictures as a pdf document on a key drive to print in school tomorrow. You are to work on the poster in class tomorrow.
April 6: The Man Who Knew infinity - movie, class discussion.
Handout given in class:
c12_the_man_who_knew_infinity_poster_checklist.docx
To do:
1. Divide the items in the poster checklist among the entire class. Gather/create text and pictures for the poster. If you cannot print at home, save your work as a pdf document on a key drive and I will print for you on Friday. You will have a class on Friday to work on the poster in class. You need your materials gathered and organized in order to complete the poster in class. This project is due on Thursday, April 14.
Handout given in class:
c12_the_man_who_knew_infinity_poster_checklist.docx
To do:
1. Divide the items in the poster checklist among the entire class. Gather/create text and pictures for the poster. If you cannot print at home, save your work as a pdf document on a key drive and I will print for you on Friday. You will have a class on Friday to work on the poster in class. You need your materials gathered and organized in order to complete the poster in class. This project is due on Thursday, April 14.
April 5: Work period - Euclid Contest
No handouts given in class.
To do:
1. Rest your brain
No handouts given in class.
To do:
1. Rest your brain
April 4: Work period - Euclid Contest prep.
No handouts given in class.
To do:
1. Practice for the Euclid Contest.
2. If you are not writing the contest, complete differentiation worksheet given out last week to earn extra marks.
No handouts given in class.
To do:
1. Practice for the Euclid Contest.
2. If you are not writing the contest, complete differentiation worksheet given out last week to earn extra marks.
April 1: The Man Who Knew Infinity; movie
Handout given in class:
c12_the_man_who_knew_infinity.pdf
To do;
1. Jot down ideas from the portion of the movie watched in class. Do not limit your ideas and notes to the themes outlined in the handout. These ideas will help you during our class discussion and when creating the poster. The poster will be a class project - one poster created by all of you. More details will be discussed on Monday.
2. Start preparing for Derivatives test - this will be next week on Thursday, April 7.
Handout given in class:
c12_the_man_who_knew_infinity.pdf
To do;
1. Jot down ideas from the portion of the movie watched in class. Do not limit your ideas and notes to the themes outlined in the handout. These ideas will help you during our class discussion and when creating the poster. The poster will be a class project - one poster created by all of you. More details will be discussed on Monday.
2. Start preparing for Derivatives test - this will be next week on Thursday, April 7.
March 31: Higher Order Derivatives, Differentiation with tables
Handout given in class:
c12_differentiation_with_tables.pdf (you were given page 1 and 2)
c12_higher_order_derivatives_assignment.pdf
To do:
1. Complete the handout and check your answers here: c12_higher_order_derivatives_with_answers.pdf
Once you checked your answers, you can turn your work in.
2. Complete the differentiation with tables and check your answers using the link above (page 3 and 4).
Handout given in class:
c12_differentiation_with_tables.pdf (you were given page 1 and 2)
c12_higher_order_derivatives_assignment.pdf
To do:
1. Complete the handout and check your answers here: c12_higher_order_derivatives_with_answers.pdf
Once you checked your answers, you can turn your work in.
2. Complete the differentiation with tables and check your answers using the link above (page 3 and 4).
March 30: Work period - logarithms, Euclid contest preparation
No new handouts given in class.
To do
1. Finish the worksheet from Tuesday.
No new handouts given in class.
To do
1. Finish the worksheet from Tuesday.
March 29: Logarithmic Differentiation
Handout given in class:
c12_logarithmic_differentiation.pdf
To do:
1. Complete the Logarithmic Differentiation, simplify only one of the questions p1 #5-8, this should save time. This is due for marks on Friday, April 1.
Handout given in class:
c12_logarithmic_differentiation.pdf
To do:
1. Complete the Logarithmic Differentiation, simplify only one of the questions p1 #5-8, this should save time. This is due for marks on Friday, April 1.
March 28: Review - Properties of Logarithms and Logarithmic Equations
Handouts given in class:
c12_exponential_and_logaritmic_test.pdf
c12_logarthmic_equations_with_answers.pdf (you were given only the first two pages)
c12_logarithms_test.pdf
c12_rewriting_logs_in_terms_of_others.pdf
To do:
1. Complete logarithmic equations worksheet. Remember to find out whether your solution meets the restriction = is valid. You can check for more details here:c12_logarithmic_equations_answers.pdf
2. Complete at least one of the practice tests and check your work here:
c12_exponential_and_logarithmic_test_answers.pdf
c12_logarithms_test_answers.pdf
3. Practice rewriting logarithms in terms of others.
Handouts given in class:
c12_exponential_and_logaritmic_test.pdf
c12_logarthmic_equations_with_answers.pdf (you were given only the first two pages)
c12_logarithms_test.pdf
c12_rewriting_logs_in_terms_of_others.pdf
To do:
1. Complete logarithmic equations worksheet. Remember to find out whether your solution meets the restriction = is valid. You can check for more details here:c12_logarithmic_equations_answers.pdf
2. Complete at least one of the practice tests and check your work here:
c12_exponential_and_logarithmic_test_answers.pdf
c12_logarithms_test_answers.pdf
3. Practice rewriting logarithms in terms of others.
March 25: Work period - logarithmic and exponential functions.
No new handouts given out in class.
To do:
1. Ensure that all the worksheets and textbook questions assigned this week are completed.
No new handouts given out in class.
To do:
1. Ensure that all the worksheets and textbook questions assigned this week are completed.
March 24: Derivatives of Logarithmic Functions
Handout given in class:
c12_differentiation_natural_logs_and_exp.pdf
c12_differentiation_of_logs_and_exp.pdf
To do:
1. Complete today's handout (20 questions in total), check your answers using the provided answer key. This assignment is mandatory, due for marks on Tuesday, March 29.
Handout given in class:
c12_differentiation_natural_logs_and_exp.pdf
c12_differentiation_of_logs_and_exp.pdf
To do:
1. Complete today's handout (20 questions in total), check your answers using the provided answer key. This assignment is mandatory, due for marks on Tuesday, March 29.
March 23: Derivatives Exponential Functions.
No handouts given in class.
To do:
1. P 178, dark blue questions with exponential functions only. Check your answers using the solution manual.
No handouts given in class.
To do:
1. P 178, dark blue questions with exponential functions only. Check your answers using the solution manual.
March 22: Work period: Practice Chain rule, Derivatives of composite functions using tables.
Handout given in class:
c12_practice_chain_rule_2.pdf
To do:
1. Complete all even questions except #24 and 26, Complete also #27 and 29. Check your answers. This can be turned in for extra marks.
Handout given in class:
c12_practice_chain_rule_2.pdf
To do:
1. Complete all even questions except #24 and 26, Complete also #27 and 29. Check your answers. This can be turned in for extra marks.
March 21: Work Period: Derivatives of composite functions.
Handout given in class:
c12_practice_chain_rule_1.pdf
To do:
1. Complete the worksheet and check your answers with the key provided. You can turn this is for extra marks.
Handout given in class:
c12_practice_chain_rule_1.pdf
To do:
1. Complete the worksheet and check your answers with the key provided. You can turn this is for extra marks.
March 4: Work period - chain rule and trigonometric functions rules
No handout given in class.
To do:
1. Enjoy your break. If you have incomplete assignments, use your time off to finish them. Stay safe.
No handout given in class.
To do:
1. Enjoy your break. If you have incomplete assignments, use your time off to finish them. Stay safe.
March 3: Derivatives of trigonometric functions and Inverse trigonometric functions
Handout given in class:
c12_differentiation_of_trig_functions.pdf
c12_differentiation_of_inverse_trig_functions.pdf
To do:
1. Complete the handout and check your answers. You can turn this in for extra marks.
Handout given in class:
c12_differentiation_of_trig_functions.pdf
c12_differentiation_of_inverse_trig_functions.pdf
To do:
1. Complete the handout and check your answers. You can turn this in for extra marks.
March 2: Chain Rule
Handout given in class:
c12_chain_rule.pdf
To do:
1. Complete the handout and focus on the derivative, rather than simplification. Check your answers with the answer key provided. THis can be turned in for extra marks.
Handout given in class:
c12_chain_rule.pdf
To do:
1. Complete the handout and focus on the derivative, rather than simplification. Check your answers with the answer key provided. THis can be turned in for extra marks.
March 1: Product and Quotient Rule
Handouts given in class:
c12_differentiation_quotient_rule.pdf
c12_differentiation_product_rule.pdf
To do:
1. Complete the two handouts, you can turn them in for extra marks by Thursday.
Handouts given in class:
c12_differentiation_quotient_rule.pdf
c12_differentiation_product_rule.pdf
To do:
1. Complete the two handouts, you can turn them in for extra marks by Thursday.
February 28: Differentiation Rules, horizontal tangent
Handout given in class:
c12_differentiation_power_constant_sum_and_difference.pdf
To do:
1. complete the handout, check your answers, turn in for extra marks if you want
2. Textbook, p 124 #7-12
Handout given in class:
c12_differentiation_power_constant_sum_and_difference.pdf
To do:
1. complete the handout, check your answers, turn in for extra marks if you want
2. Textbook, p 124 #7-12
February 24: Introduction to Derivative
No handouts given in class:
To do:
1. textbook p 105 Darkblue questions. #1,3,5,7,9-12, 13-16, 17, 19.
No handouts given in class:
To do:
1. textbook p 105 Darkblue questions. #1,3,5,7,9-12, 13-16, 17, 19.
February 23: Limits and continuity Test
Handout given in class:
c12_tangents_normals_rates_of_change_test.docx
Tp do:
1. Complete the take-home test. Due tomorrow. You can use your notes, textbook and desmos.
You should, however, be able to sketch the graphs without technology and only use technology to check your work.
Handout given in class:
c12_tangents_normals_rates_of_change_test.docx
Tp do:
1. Complete the take-home test. Due tomorrow. You can use your notes, textbook and desmos.
You should, however, be able to sketch the graphs without technology and only use technology to check your work.
February 21- 22: Limits and continuity: work period
Handout given in class:
c12_limits_and_continuity_assignment_.pdf
To do:
1. Work on the assignment with your group. One write-up per group is due on Wednesday, February 23.
2. Limits and Continuity Test on Wednesday, February 23.
3. Rewrite for Limits and Continuity Quiz - Thursday, February 24.
Handout given in class:
c12_limits_and_continuity_assignment_.pdf
To do:
1. Work on the assignment with your group. One write-up per group is due on Wednesday, February 23.
2. Limits and Continuity Test on Wednesday, February 23.
3. Rewrite for Limits and Continuity Quiz - Thursday, February 24.
February 18: Instantaneous and Average Rates of Change - work period. Limits and Continuity quiz 1
Handouts given in class:
c12_instantaneous_rates_of_change_ii.pdf
c12_instantaneous_rates_of_change_i.pdf
Handouts given in class:
c12_instantaneous_rates_of_change_ii.pdf
c12_instantaneous_rates_of_change_i.pdf
February 17: Tangent and Normal Lines. Evaluating limits practice.
Handouts given in class:
c12_evaluating_limits_iii.pdf
c12_evaluating_limits_ii.pdf
c12_evaluating_limits_i_with_answers.pdf
To do:
1. Complete as many questions as you can in the 3 Evaluating limits handouts. Check your answers using the links above.
2. Limits and continuity quiz tomorrow.
Handouts given in class:
c12_evaluating_limits_iii.pdf
c12_evaluating_limits_ii.pdf
c12_evaluating_limits_i_with_answers.pdf
To do:
1. Complete as many questions as you can in the 3 Evaluating limits handouts. Check your answers using the links above.
2. Limits and continuity quiz tomorrow.
February 16: Average and Instantaneous Rate of Change
No handouts given out in class.
To do:
1. p 92 #1-7
2. p 95 #1-14 (make sure those are done before the quiz).
3. Study for the quiz - limits and continuity, this will be on Friday, rates of change will not be on the quiz.
4. Unit 2 test will be on Wednesday, February 23.
No handouts given out in class.
To do:
1. p 92 #1-7
2. p 95 #1-14 (make sure those are done before the quiz).
3. Study for the quiz - limits and continuity, this will be on Friday, rates of change will not be on the quiz.
4. Unit 2 test will be on Wednesday, February 23.
February 15: Work Period - evaluating limits
Handout given in class:
c12_limits_practice_algebraic_approach.pdf
To do:
1. Using separate sheets of paper, answer all questions in the handout and check your answers here:
c12_evaluating_limits_worksheet
Handout given in class:
c12_limits_practice_algebraic_approach.pdf
To do:
1. Using separate sheets of paper, answer all questions in the handout and check your answers here:
c12_evaluating_limits_worksheet
February 14: Continuous extension of a function. Limits of Rational Functions
Handout given in class:
c12_limits_of_rational_functions.pdf
To do:
1. Textbook p 85 37-50 and p 86 #56-59
Handout given in class:
c12_limits_of_rational_functions.pdf
To do:
1. Textbook p 85 37-50 and p 86 #56-59
February 11: Limits and Infinity, End behaviour model.
No handouts given in class
To do:
1. Textbook p76-77 #1-37 odd questions only.
No handouts given in class
To do:
1. Textbook p76-77 #1-37 odd questions only.
February 10: Continuity at a point, Intermediate Value Theorem. Types of discontinuities.
Handout given in class:
c12_continuity_at_a_point.pdf
To do:
1. Textbook p 84-85 #1-10, 11-12 14, #19-22
Handout given in class:
c12_continuity_at_a_point.pdf
To do:
1. Textbook p 84-85 #1-10, 11-12 14, #19-22
February 9: Work period - graphing exponential and logarithmic functions.
Handouts given in class:
c12_graphing_exponential_functions.pdf
c12_graphing_logs_ii.pdf
c12_graphing_logs_iii.pdf
c12_graphing_logs_i.pdf
To do:
1. Graphing exponential functions and graphing logarithmic functions II are mandatory for marks - due on Thursday. You are expected to include the following in your work: y-int for exp. x-int for logs, equation of the HA and/or VA, mapping notation, and apply mapping notation to three points. Use desmos to check your work.
2. Graphing logs III can be turned in for extra marks by Friday, all information required for the other assignments is also required for logs III if you want extra marks.
Handouts given in class:
c12_graphing_exponential_functions.pdf
c12_graphing_logs_ii.pdf
c12_graphing_logs_iii.pdf
c12_graphing_logs_i.pdf
To do:
1. Graphing exponential functions and graphing logarithmic functions II are mandatory for marks - due on Thursday. You are expected to include the following in your work: y-int for exp. x-int for logs, equation of the HA and/or VA, mapping notation, and apply mapping notation to three points. Use desmos to check your work.
2. Graphing logs III can be turned in for extra marks by Friday, all information required for the other assignments is also required for logs III if you want extra marks.
February 8: Exponential and Logarithmic Functions - Review
Handout given in class:
c12_exponential_and_logarithmic_function.pdf
To do:
1. Sketch graphs of the transformed exponential and logarithmic functions from the handout (we described all transformations in class). make sure that the asymptotes and at least two points are exact in your sketches. Use desmos to check your work.
2. If you want to rewrite the second quiz, complete corrections to your original quiz. Rewrites on Thursday or Friday.
Handout given in class:
c12_exponential_and_logarithmic_function.pdf
To do:
1. Sketch graphs of the transformed exponential and logarithmic functions from the handout (we described all transformations in class). make sure that the asymptotes and at least two points are exact in your sketches. Use desmos to check your work.
2. If you want to rewrite the second quiz, complete corrections to your original quiz. Rewrites on Thursday or Friday.
February 7: Sandwich theorem, Proof of lim sinx/x and lim (cosx-1)/x, piecewise defined functions
Handout given in class:
c12_piecewise_functions_worksheet.pdf
To do:
1. complete the rest of the graphs except #7. Also, state whether a two sided limit exist at any of the "breaking points".
2. Redo the proof of lim sinx/x = 1, the one we did in class.
Handout given in class:
c12_piecewise_functions_worksheet.pdf
To do:
1. complete the rest of the graphs except #7. Also, state whether a two sided limit exist at any of the "breaking points".
2. Redo the proof of lim sinx/x = 1, the one we did in class.
February 4: Floor, ceiling, sinx/s and (cosx-1)/x grahs and limits.
No handouts given in class.
To do:
1. Textbook p 66-68 #12, 24-28, 31-34, #55-58
No handouts given in class.
To do:
1. Textbook p 66-68 #12, 24-28, 31-34, #55-58
February 3: Evaluating limits by substitution or using a graph.
Handouts given in class:
c12_logs_and_exp__review_practice_.pdf
c12_evaluating_limits_2.pdf
c12_evaluating_limits_1.pdf
To do:
1. Completer the two evaluating limits handouts and check your answers using the key provided with the handout.
2. Start on calculating the inverse function of logs.
Handouts given in class:
c12_logs_and_exp__review_practice_.pdf
c12_evaluating_limits_2.pdf
c12_evaluating_limits_1.pdf
To do:
1. Completer the two evaluating limits handouts and check your answers using the key provided with the handout.
2. Start on calculating the inverse function of logs.
February 2: Calculus Prerequisites Quiz 2. Properties of limits.
No handouts given out in class.
To do:
1. Textbook p 65-68 (light blue and dark blue questions). skip #12 and 29-36 for now. When asked to determine the limit graphically, use Desmos, skip algebraic verification for trigonometric functions - for now.
2. Ensure that all six arctrig functions are sketched in your Basic Relations Booklet - include information about domain and range.
No handouts given out in class.
To do:
1. Textbook p 65-68 (light blue and dark blue questions). skip #12 and 29-36 for now. When asked to determine the limit graphically, use Desmos, skip algebraic verification for trigonometric functions - for now.
2. Ensure that all six arctrig functions are sketched in your Basic Relations Booklet - include information about domain and range.
February 1: Limits and continuity.
Handout given in class:
c12_limits_and_their_properties.pdf
To do:
1. Reread your hand-written notes and page one of the printed notes to familiarize yourself with the new language and theorems.
2. Review for the quiz.
Handout given in class:
c12_limits_and_their_properties.pdf
To do:
1. Reread your hand-written notes and page one of the printed notes to familiarize yourself with the new language and theorems.
2. Review for the quiz.
January 31: Odd and Even functions. Logarithmic and Exponential Functions review.
No handouts given in class.
To do:
1.Review questions p 56-57 #15-18, #60, 61, #27, 28, 29 and 31, #1-11
2. Study for the quiz that will be on Wednesday February 2. This quiz will cover - any basic relation in the booklet, absolute value function and its transformations, square root of a function, reciprocal function, absolute value of any function and its transformations, inverse of a relation, all inverse trig functions, all reciprocal trig functions, odd and even functions, increasing and decreasing function on a interval and in the entire domain, parallel and perpendicular lines, all forms of the equation of a line. Domain and range. Composite function.
No handouts given in class.
To do:
1.Review questions p 56-57 #15-18, #60, 61, #27, 28, 29 and 31, #1-11
2. Study for the quiz that will be on Wednesday February 2. This quiz will cover - any basic relation in the booklet, absolute value function and its transformations, square root of a function, reciprocal function, absolute value of any function and its transformations, inverse of a relation, all inverse trig functions, all reciprocal trig functions, odd and even functions, increasing and decreasing function on a interval and in the entire domain, parallel and perpendicular lines, all forms of the equation of a line. Domain and range. Composite function.
January 28: Square Root of a function, Composition of functions continued.
Handout given in class:
c12_functions_-_overview_blank.pdf
To do:
1. Fill in Functions handout. Read the definition of increasing and decreasing functions carefully. You can check suggested answers here: c12_functions_overview_filled.pdf
Handout given in class:
c12_functions_-_overview_blank.pdf
To do:
1. Fill in Functions handout. Read the definition of increasing and decreasing functions carefully. You can check suggested answers here: c12_functions_overview_filled.pdf
January 27: Composite function continued.
No new handouts.
To do:
1. Example 5B in the notes.
2. Textbook p 20 #49 -53
3. Corrections to your quiz #1
No new handouts.
To do:
1. Example 5B in the notes.
2. Textbook p 20 #49 -53
3. Corrections to your quiz #1
January 26: Quiz, work period
No handouts given out in class.
To do:
1. Review and practice anything that you found difficult on today's quiz.
2. Finish textbook questions assigned yesterday. Check your answers using the solution manual (available in class).
No handouts given out in class.
To do:
1. Review and practice anything that you found difficult on today's quiz.
2. Finish textbook questions assigned yesterday. Check your answers using the solution manual (available in class).
January 25: Linear Function Review. Composition of a function. Operations with functions.
Handouts given in class:
c12_linear_function_review_.pdf
c12_composite_function.pdf
To do:
1. Textbook p 9 #5,9, 11, 13, 17, 23,27, 33
p 18 #7 and 8
p 19 35-12 sketch without desmos first.
2. Remember, quiz tomorrow.
Handouts given in class:
c12_linear_function_review_.pdf
c12_composite_function.pdf
To do:
1. Textbook p 9 #5,9, 11, 13, 17, 23,27, 33
p 18 #7 and 8
p 19 35-12 sketch without desmos first.
2. Remember, quiz tomorrow.
January 24: Inverse of a Relation, Inverse Trig function
Handout given in class:
c12_inverse_of_a_relation.pdf
To do:
1.Finish the handout. Check your answers here: c12_inverse_of_a_relation_filled.pdf
2. Using textbook p 51 and 49 draw the 6 inverse trig functions into your Basic Relations booklet.
3. Study for the quiz - quiz on Wednesday
Handout given in class:
c12_inverse_of_a_relation.pdf
To do:
1.Finish the handout. Check your answers here: c12_inverse_of_a_relation_filled.pdf
2. Using textbook p 51 and 49 draw the 6 inverse trig functions into your Basic Relations booklet.
3. Study for the quiz - quiz on Wednesday
January 21: Reciprocal of a function. Completing the Square review.
Handout given in class:
c12_completingthesquare_blank.pdf
c12_reciprocal_of_a_function.pdf
To do:
1. Practice completing the square, you are not required to finish the handout. You can check your answers here: c12_completing_the_square_filled.pdf
2. Practice graphing reciprocal functions: make a sketch and use Desmos to check your answer.
3. There will be a quiz next week: factoring polynomials, graphing basic relations - including trig, graphing reciprocals, domain and range using set notation, completing the square.
Handout given in class:
c12_completingthesquare_blank.pdf
c12_reciprocal_of_a_function.pdf
To do:
1. Practice completing the square, you are not required to finish the handout. You can check your answers here: c12_completing_the_square_filled.pdf
2. Practice graphing reciprocal functions: make a sketch and use Desmos to check your answer.
3. There will be a quiz next week: factoring polynomials, graphing basic relations - including trig, graphing reciprocals, domain and range using set notation, completing the square.
January 20: Trigonometric Functions and Reciprocal of a function
Handout given in class: c12_reciprocal_of_a_function_rules.pdf
c12_trigonometric_function_review.pdf
To do:
1. Make sure you note package is complete and check your work here: c12_trigonometric_function_review_-_filled.pdf
2. Read the steps for graphing a reciprocal of a function here:
3. Graph the following functions:
f(x)=1/(x^2-4), f(x)= 1/(2x+1) and f(x) = 2csc x
Note that the first two functions will have a horizontal asymptote at y=0. If you do not understand why, make sure to ask around or ask me in class tomorrow.
Handout given in class: c12_reciprocal_of_a_function_rules.pdf
c12_trigonometric_function_review.pdf
To do:
1. Make sure you note package is complete and check your work here: c12_trigonometric_function_review_-_filled.pdf
2. Read the steps for graphing a reciprocal of a function here:
3. Graph the following functions:
f(x)=1/(x^2-4), f(x)= 1/(2x+1) and f(x) = 2csc x
Note that the first two functions will have a horizontal asymptote at y=0. If you do not understand why, make sure to ask around or ask me in class tomorrow.
January 19: Factoring polynomials review + difference of cubes, sum of cubes. Absolute value function and transformations, graphing.
No handouts given in class.
To do:
1. Graph and check with Desmos the 4 functions given in class. c12_absolute_value_function.docx
2. Review Completing the square.
3. Finish the green handout from Tuesday.
For those interested, look up more information about the Euclid contest.
Euclid contest link: www.cemc.uwaterloo.ca/contests/euclid.html
2021 Contest: 2021euclidcontest.pdf
2021 Contest Solutions: 2021euclidsolution.pdf
No handouts given in class.
To do:
1. Graph and check with Desmos the 4 functions given in class. c12_absolute_value_function.docx
2. Review Completing the square.
3. Finish the green handout from Tuesday.
For those interested, look up more information about the Euclid contest.
Euclid contest link: www.cemc.uwaterloo.ca/contests/euclid.html
2021 Contest: 2021euclidcontest.pdf
2021 Contest Solutions: 2021euclidsolution.pdf
January 18: Welcome in Physics 12 - course expectations and outline, Basic Relations review 1
Handouts given in class:
Factoring polynomials: c12_factoring__all_techniques__hard_.pdf
Basic Relations:c12_basic_relations.pdf
Handouts given in class:
Factoring polynomials: c12_factoring__all_techniques__hard_.pdf
Basic Relations:c12_basic_relations.pdf
Course outline:c12_course_outline.pdf
To do:
1. Please e-mail me so I can save your preferred e-mail address.
2. Complete page 1 and 2 of Basic relations.
3. Complete as many questions as you can in the factoring worksheet. If you click on the link above, you can find the answer key on page 3 and 4 of the pdf.
4. Signed outline and answer + answered questions are due on Friday - this is mandatory.
To do:
1. Please e-mail me so I can save your preferred e-mail address.
2. Complete page 1 and 2 of Basic relations.
3. Complete as many questions as you can in the factoring worksheet. If you click on the link above, you can find the answer key on page 3 and 4 of the pdf.
4. Signed outline and answer + answered questions are due on Friday - this is mandatory.