June 1: Differential Equations
Handout given in class:
c12_differential_equations_notes.pdf
To do:
1. Complete the assignment from yesterday - due tomorrow, June 2. This assignment is mandatory.
2. Review for an integration quiz. Quiz tomorrow- June 2.
3. Work on your final assessment presentation - be ready to present on Monday (preferable), or Tuesday.
Handout given in class:
c12_differential_equations_notes.pdf
To do:
1. Complete the assignment from yesterday - due tomorrow, June 2. This assignment is mandatory.
2. Review for an integration quiz. Quiz tomorrow- June 2.
3. Work on your final assessment presentation - be ready to present on Monday (preferable), or Tuesday.
May 31: The fundamental Theorem of Calculus
Handouts given in class:
c12_definite_integrals_assignment.pdf
c2_the_fundamental_theorem_of_calculus_notes.pdf
c12_ftc_practice_assignment_with_answers.pdf
To do:
1. FTC practice assignment - this can be turned in for extra marks after you check/correct your answers.
2. Definite Integrals Assignment - due on Friday, June 2. This is mandatory. If this assignment is turned in on time, you can be exempted from writing the unit test on integration. Do all work on.a separate sheet of paper, put only your final answer on the printed sheet.
Handouts given in class:
c12_definite_integrals_assignment.pdf
c2_the_fundamental_theorem_of_calculus_notes.pdf
c12_ftc_practice_assignment_with_answers.pdf
To do:
1. FTC practice assignment - this can be turned in for extra marks after you check/correct your answers.
2. Definite Integrals Assignment - due on Friday, June 2. This is mandatory. If this assignment is turned in on time, you can be exempted from writing the unit test on integration. Do all work on.a separate sheet of paper, put only your final answer on the printed sheet.
May 30: Integration by Parts
Handout given in class:
c12_integration_by_parts_.pdf
To do:
1. Complete the worksheet, check your answers. You can turn this in for extra marks by Friday, June 2.
2. Start working on your Final Assessment Presentation. Presentations are on Monday, June 5. If you miss school on Monday June 5, you will have to present during the exam period on Monday, June 12 at 9:00 AM in room 145. Please note that the preferred date to present is June 5.
Handout given in class:
c12_integration_by_parts_.pdf
To do:
1. Complete the worksheet, check your answers. You can turn this in for extra marks by Friday, June 2.
2. Start working on your Final Assessment Presentation. Presentations are on Monday, June 5. If you miss school on Monday June 5, you will have to present during the exam period on Monday, June 12 at 9:00 AM in room 145. Please note that the preferred date to present is June 5.
May 29: Integration with Inverse Trigonometric Functions
Handout given in class:
c12_integration_by_substitution_with_inverse_trig_2.pdf
c12_integration_by_substitution_with_inverse_trig_1.pdf
Final assessment checklist:
To do:c12_final_presentation_checklist.pdf
1. Complete the worksheet and check your answers. This can be turned in for extra marks by June 2.
Handout given in class:
c12_integration_by_substitution_with_inverse_trig_2.pdf
c12_integration_by_substitution_with_inverse_trig_1.pdf
Final assessment checklist:
To do:c12_final_presentation_checklist.pdf
1. Complete the worksheet and check your answers. This can be turned in for extra marks by June 2.
May 26: Integration quiz, Integration by substitution continued
Handout given in class:
Page 1: c12_integration_by_substitution_3.pdf
Page 2: c12_integration_by_substitution_1.pdf
To do:
1. Complete the worksheet and check your answers. This can be turned in for extra marks by May 31.
Handout given in class:
Page 1: c12_integration_by_substitution_3.pdf
Page 2: c12_integration_by_substitution_1.pdf
To do:
1. Complete the worksheet and check your answers. This can be turned in for extra marks by May 31.
May 25: Integration of logarithmic functions and Integration by substitution
Handout given in class:
c12_integration_by_substitution_1.pdf
To do:
1. Complete the handout from today and check your answers.
2. Finish the Power Rule for Integration worksheet from last week.
Handout given in class:
c12_integration_by_substitution_1.pdf
To do:
1. Complete the handout from today and check your answers.
2. Finish the Power Rule for Integration worksheet from last week.
May 24: Rules of integration (constant multiple, sum and difference, some trig functions and exponential functions).
Handout given in class:
c12_integration_logs_and_exp_with_answers.pdf
c12_integration_trig_functions_wit_answers.pdf
To do:
1. Complete both pages except #7 and #8 in trig portion. Check your answers.
2. Read textbook p 331. and p 332: All rules except the last 2.
3. p 337 (dark blue questions) #1-12
4. Practice for integration quiz: quiz on Friday.
Handout given in class:
c12_integration_logs_and_exp_with_answers.pdf
c12_integration_trig_functions_wit_answers.pdf
To do:
1. Complete both pages except #7 and #8 in trig portion. Check your answers.
2. Read textbook p 331. and p 332: All rules except the last 2.
3. p 337 (dark blue questions) #1-12
4. Practice for integration quiz: quiz on Friday.
May 23: Integral as an area below a curve
Handout given in class:
c12_approximating_area_below_a_curve_worksheet.pdf
To do:
1. Complete the worksheet, ski #5 and #6 for now. Check your answers.
Handout given in class:
c12_approximating_area_below_a_curve_worksheet.pdf
To do:
1. Complete the worksheet, ski #5 and #6 for now. Check your answers.
May 19: Movie
No handouts given in class.
To do:
1. No HW if you completed all previously assigned questions.
No handouts given in class.
To do:
1. No HW if you completed all previously assigned questions.
May 18: Related Rates Test
No handouts given in class.
To do:
1. No homework if you are all caught up.
No handouts given in class.
To do:
1. No homework if you are all caught up.
May 17: Application of Derivative quiz, Power Rule for Integration
Handout given in class:
c12_integration_power_rule_with_answers.pdf
To do:
1. Complete #1-6 in the handout, check your answers.
2. Practice related rates questions for the related rates test - test is tomorow.
Handout given in class:
c12_integration_power_rule_with_answers.pdf
To do:
1. Complete #1-6 in the handout, check your answers.
2. Practice related rates questions for the related rates test - test is tomorow.
May 16: Application of Derivatives Test - Part 1
No handouts given in class
To do:
1. Practice Optimization Problems, and review particle motion - a quiz on those two topics is tomorrow.
Textbook: p226" #2-10.
No handouts given in class
To do:
1. Practice Optimization Problems, and review particle motion - a quiz on those two topics is tomorrow.
Textbook: p226" #2-10.
May 15: Optimization and Modelling
Handout given in class:
c12_optimization_worksheet_with_answers.pdf
To do:
1. complete the 3 optimization questions and check your answers.
2. Study for the Unit 4 test - part 1: Test is tomorrow. (optimization, related rates and particle motion are NOT on this part of the test).
3. Make sure that the 32 related questions are completed.
Handout given in class:
c12_optimization_worksheet_with_answers.pdf
To do:
1. complete the 3 optimization questions and check your answers.
2. Study for the Unit 4 test - part 1: Test is tomorrow. (optimization, related rates and particle motion are NOT on this part of the test).
3. Make sure that the 32 related questions are completed.
May 12: Related Rates - work period
No handouts given in class
To do:
1. p 252-253 #20-32
Make sure you understand all questions that have been assigned. If unsure, consult the solution manual/ask in class on Monday.
No handouts given in class
To do:
1. p 252-253 #20-32
Make sure you understand all questions that have been assigned. If unsure, consult the solution manual/ask in class on Monday.
May 11: Related rates continued. rewriting formulas in terms of a single variable.
No handout given in class
To do:
1. Textbook p 251-252 #11 and 19
No handout given in class
To do:
1. Textbook p 251-252 #11 and 19
May 10: Relative Extrema and MVT quiz
No handouts given in class.
To do:
1. Complete all textbook questions assigned earlier this week.
No handouts given in class.
To do:
1. Complete all textbook questions assigned earlier this week.
May 9: Related Rates
Handouts given in class:
c12_related_rates_worksheet.pdf
c12_related_rates_notes.pdf
To do:
1. Complete the worksheet and check your answers here:
c12_related_rates_worksheet_1_with_answers.pdf
2. Textbook: p 251 #1-10. Make sure to check answers using the solution manual in class.
Handouts given in class:
c12_related_rates_worksheet.pdf
c12_related_rates_notes.pdf
To do:
1. Complete the worksheet and check your answers here:
c12_related_rates_worksheet_1_with_answers.pdf
2. Textbook: p 251 #1-10. Make sure to check answers using the solution manual in class.
May 8: Work period
No handouts given in class:
To doL
1. Textbook p 215 #2,4,6, 8 10. 11. 12, 14, 16, 19, and 20
2. Textbook: revisit implicit differentiation, p 162, #27-30 and #31-42, do as many as you can.
No handouts given in class:
To doL
1. Textbook p 215 #2,4,6, 8 10. 11. 12, 14, 16, 19, and 20
2. Textbook: revisit implicit differentiation, p 162, #27-30 and #31-42, do as many as you can.
May 5: Particle Motion #2
Handout given in class:
c12_particle_motion_2_no_answers.pdf
To do:
1. Make corrections to the quiz and do textbook questions on the quiz topics. Complete more questions than just those that were originally assigned.
2. Complete Particle Motion #2 and check your answers here:
c12_particle_motion_2_answers.pdf
Handout given in class:
c12_particle_motion_2_no_answers.pdf
To do:
1. Make corrections to the quiz and do textbook questions on the quiz topics. Complete more questions than just those that were originally assigned.
2. Complete Particle Motion #2 and check your answers here:
c12_particle_motion_2_answers.pdf
May 4: Particle Motion #1
Handouts given in class:
c12_particle_motion_1_with_answers.pdf
c12_connecting_f__and_f__with_f_notes.pdf
To do:
1. Complete particle motion #1, check your answers.
2. Review first derivative test, concavity test, intervals of increase and decrease, critical points, inflection points and the second derivative test. Review the MVT and its applications. You may find it helpful to fill in the "connecting f' and f" with the graph of f" and use the blank pages in the handout for your own example you can create and check with desmos. Notice the assigned textbook questions. There will be another quiz next week on all of those topics.
you can check your work here: c12_connecting_f_and_f_22_to_the_graph_of_f_filled.pdf
Handouts given in class:
c12_particle_motion_1_with_answers.pdf
c12_connecting_f__and_f__with_f_notes.pdf
To do:
1. Complete particle motion #1, check your answers.
2. Review first derivative test, concavity test, intervals of increase and decrease, critical points, inflection points and the second derivative test. Review the MVT and its applications. You may find it helpful to fill in the "connecting f' and f" with the graph of f" and use the blank pages in the handout for your own example you can create and check with desmos. Notice the assigned textbook questions. There will be another quiz next week on all of those topics.
you can check your work here: c12_connecting_f_and_f_22_to_the_graph_of_f_filled.pdf
May 3: Second Derivative Test, Quiz
Handouts given in class:
c12_derivative_and_concavity_tests_assignment.pdf
To do:
1. Complete the assignment and make to show your work and check your answers. You can turn this in for extra marks.
Handouts given in class:
c12_derivative_and_concavity_tests_assignment.pdf
To do:
1. Complete the assignment and make to show your work and check your answers. You can turn this in for extra marks.
May 2: Concavity Test, Inflection point definition
Handout given in class:
c12_concavity.pdf
To do:
1. Complete the handout and check your answers.
2. Textbook: p 215 #13-20, #21-24
3. Read your notes and study for the quiz: quiz is tomorrow: first derivative test. MVT, increasing/decreasing, critical points.
Handout given in class:
c12_concavity.pdf
To do:
1. Complete the handout and check your answers.
2. Textbook: p 215 #13-20, #21-24
3. Read your notes and study for the quiz: quiz is tomorrow: first derivative test. MVT, increasing/decreasing, critical points.
April 28: Work period,
Handout given in class:
c12_application_of_derivatives_assignment_1.pdf
To do:
1. Complete the Assignment, check your answers. Full solutions to each questions a due for marks on Wednesday, May 3. This is mandatory
Handout given in class:
c12_application_of_derivatives_assignment_1.pdf
To do:
1. Complete the Assignment, check your answers. Full solutions to each questions a due for marks on Wednesday, May 3. This is mandatory
April 27: Mean Value Theorem
Handout given in class:
c12_mvt_with_answers.pdf
c12_mvt_and_other_applications_of_derivatives_notes.pdf
To do:
1. Complete the MVT handout and check your answers.
2 Complete questions assigned in the handout.
Handout given in class:
c12_mvt_with_answers.pdf
c12_mvt_and_other_applications_of_derivatives_notes.pdf
To do:
1. Complete the MVT handout and check your answers.
2 Complete questions assigned in the handout.
April 26: Intervals of Increase and Decrease, first derivative test summary
Handout given in class;
c12_intervals_of_increase_and_decrease.pdf
To do:
1. Complete the handout and check your asnwers.
Handout given in class;
c12_intervals_of_increase_and_decrease.pdf
To do:
1. Complete the handout and check your asnwers.
April 25: Curve sketching and the first derivative test practice
No handouts given in class:
To do:
1. Find extreme values and where they occur, intercepts and sketch the function.
a) x^3/(x^2-5)
b) (x+5)^(1/3)
c) x^5+5x^2
2. Make sure to complete the previously assigned textbook questions.
No handouts given in class:
To do:
1. Find extreme values and where they occur, intercepts and sketch the function.
a) x^3/(x^2-5)
b) (x+5)^(1/3)
c) x^5+5x^2
2. Make sure to complete the previously assigned textbook questions.
April 24: Normal/Tangent/Secant lines quiz, First Derivative Test continued
No handouts given in class
To do:
1. Finish homework assigned on Thrusday.
No handouts given in class
To do:
1. Finish homework assigned on Thrusday.
April 20: Absolute and Local Extrema, first derivative test.
Handout given in class:
c12_absolute_extrema_worksheet.pdf
To do:
1. Complete the Absolute Extrema worksheet and check your answers.
2. Textbook: p 194 #19-22, #28
Handout given in class:
c12_absolute_extrema_worksheet.pdf
To do:
1. Complete the Absolute Extrema worksheet and check your answers.
2. Textbook: p 194 #19-22, #28
April 19: Connecting Graphs. Absolute Extrema.
c12_extreme_values_of_functions_notes.pdf
c12_comparing_a_function_with_its_derivatives.pdf
To do:
1. Textbook p 193 (Dark Blue Questions): #1, -4. p 194#5-10
2. Textbook p 215 #23 and 24, read the question carefully, a graph of the derivative is given, you are to estimate the graph of f(x), this is the reverse process of what we did in class today.
c12_extreme_values_of_functions_notes.pdf
c12_comparing_a_function_with_its_derivatives.pdf
To do:
1. Textbook p 193 (Dark Blue Questions): #1, -4. p 194#5-10
2. Textbook p 215 #23 and 24, read the question carefully, a graph of the derivative is given, you are to estimate the graph of f(x), this is the reverse process of what we did in class today.
April 18: Unit 4: Application of Derivatives, Tangent and Normal Lines review
Handout given in class:
c12_tangent_lines_worksheet.pdf
To do:
1. Use a separate sheet of paper to show all work to determine the equation of a tangent line in slope-intercept form. Check your answers. In addition, determine the equation of a normal line at the same point of tangency, show work on the same sheet of paper and write your final answer in slope intercept form on the back page of the handout.
2. For #3, find the equation of a secant line that passes through P(1,1) and p (5,77), and #6 that passes through x=-1 and x=8.
Handout given in class:
c12_tangent_lines_worksheet.pdf
To do:
1. Use a separate sheet of paper to show all work to determine the equation of a tangent line in slope-intercept form. Check your answers. In addition, determine the equation of a normal line at the same point of tangency, show work on the same sheet of paper and write your final answer in slope intercept form on the back page of the handout.
2. For #3, find the equation of a secant line that passes through P(1,1) and p (5,77), and #6 that passes through x=-1 and x=8.
April 17: Derivative Test
No handouts given in class.
To do:
1. No homework
No handouts given in class.
To do:
1. No homework
April 13: Implicit differentiation quiz and Trig/Log/Exp derivatives Quiz
No handouts given in class.
To do:
1. Practice derivative rules and tangent lines for the Unit 3 test - test is tomorrow.
No handouts given in class.
To do:
1. Practice derivative rules and tangent lines for the Unit 3 test - test is tomorrow.
April 11 and 12: Practice and review
No handouts given in class.
To do:
1. Review trigonometric identities, special triangles, and the unit circle.
2. Prepare for the implicit differentiation quiz, and trig/log/exp quiz, both quizzes are tomorrow - Thursday, April 13.
Derivatives of Inverse trig functions worksheet with answers:
c12_derivatives_of_invere_trig_functions_.pdf
No handouts given in class.
To do:
1. Review trigonometric identities, special triangles, and the unit circle.
2. Prepare for the implicit differentiation quiz, and trig/log/exp quiz, both quizzes are tomorrow - Thursday, April 13.
Derivatives of Inverse trig functions worksheet with answers:
c12_derivatives_of_invere_trig_functions_.pdf
April 6: Derivatives with Tables. Derivatives of Inverse Trig Functions
Handouts given in class:
c12_derivatives_of_inverse_trig_functions_notes.pdf
c12_derivatives_with_tables_1.pdf
c12_derivatives_with_tables_2.pdf
To do:
1. Complete p 170 #1-26 (even and odd). Make sure to simplify your answers as much as possible, check all answers with the solution manual in class. This is a the last topic in the derivatives unit and it will be on the unit test on Friday.
2. Start studying for the unit test - Derivative test (everything except implicit differentiation) will be on the test. Test is on Friday, April 14.
Handouts given in class:
c12_derivatives_of_inverse_trig_functions_notes.pdf
c12_derivatives_with_tables_1.pdf
c12_derivatives_with_tables_2.pdf
To do:
1. Complete p 170 #1-26 (even and odd). Make sure to simplify your answers as much as possible, check all answers with the solution manual in class. This is a the last topic in the derivatives unit and it will be on the unit test on Friday.
2. Start studying for the unit test - Derivative test (everything except implicit differentiation) will be on the test. Test is on Friday, April 14.
April 5: Implicit Differentiation
Handouts given in class:
c12_implicit_differentiation_with_answers.pdf
c12_implicity_differentiation_notes.pdf
To do:
1. Using a separate sheet of paper, show full solution and simplification to questions #3, 7, 8, 12, and 14.
You can also turn in a full solution to #15 for L4 marks.
Make sure to check your answers using the link above before turning in your solutions. This is due on Wednesday, April 12.
2. Quiz is postponed from Thursday April 6 to Wednesday, April 12.
Handouts given in class:
c12_implicit_differentiation_with_answers.pdf
c12_implicity_differentiation_notes.pdf
To do:
1. Using a separate sheet of paper, show full solution and simplification to questions #3, 7, 8, 12, and 14.
You can also turn in a full solution to #15 for L4 marks.
Make sure to check your answers using the link above before turning in your solutions. This is due on Wednesday, April 12.
2. Quiz is postponed from Thursday April 6 to Wednesday, April 12.
April 4: Quiz, Higher Order Derivatives
Handout given in class:
c12_higher_order_derivatives.pdf
To do:
1. Complete the Higher Order Derivatives worksheet, check your answers.
2. Textbook p 178-179, do as many questions as you can.
3. Practice for derivative quiz: trig, chain, exp, logs, lns. rules on Thursday, April 6.
Handout given in class:
c12_higher_order_derivatives.pdf
To do:
1. Complete the Higher Order Derivatives worksheet, check your answers.
2. Textbook p 178-179, do as many questions as you can.
3. Practice for derivative quiz: trig, chain, exp, logs, lns. rules on Thursday, April 6.
April 3: Logarithmic differentiation, derivative at a value
Handouts given in class:
c12_derivative_at_a_value.pdf
c12_logarithmic_differentiation.pdf
To do:
1. Complete the derivative at a value, check your answers, this can be turned in for extra marks by Thursday, April 6.
2. Complete the logarithmic differentiation, Full and simplified solutions to questions #3, #4, #8 (it should be faster than using a product rule) #14 (this should be faster than a quotient rule. Also, do not simplify #14. This is due on Wednesday, April 5.
3. Study for derivative quiz - quiz is tomorrow, all rules of differentiation.
March 30: Derivatives of Logarithmic functions
No handouts given in class.
To do:
1. Complete the handout from Wednesday.
2 . Complete the Chain Rule assignment
Handouts given in class:
c12_derivative_at_a_value.pdf
c12_logarithmic_differentiation.pdf
To do:
1. Complete the derivative at a value, check your answers, this can be turned in for extra marks by Thursday, April 6.
2. Complete the logarithmic differentiation, Full and simplified solutions to questions #3, #4, #8 (it should be faster than using a product rule) #14 (this should be faster than a quotient rule. Also, do not simplify #14. This is due on Wednesday, April 5.
3. Study for derivative quiz - quiz is tomorrow, all rules of differentiation.
March 30: Derivatives of Logarithmic functions
No handouts given in class.
To do:
1. Complete the handout from Wednesday.
2 . Complete the Chain Rule assignment
March 29: Derivatives of Exponential functions
Handouts given in class:
Logarithms and Exponential practice: c12_differentiation_natural_logs_and_exp.pdf and c12_differentiation_of_logs_and_exp.pdf
Assignment: c12_chain_rule_3.pdf
To do:
1. Complete questions p1 2,6,7,10 and p2 1,2, 7,8,9 Check answers using the links above.
2. Complete Chain Rule Worksheet: use a separate sheet of paper to show your work and write down the answers. This is mandatory, due on Monday, April 3.
Handouts given in class:
Logarithms and Exponential practice: c12_differentiation_natural_logs_and_exp.pdf and c12_differentiation_of_logs_and_exp.pdf
Assignment: c12_chain_rule_3.pdf
To do:
1. Complete questions p1 2,6,7,10 and p2 1,2, 7,8,9 Check answers using the links above.
2. Complete Chain Rule Worksheet: use a separate sheet of paper to show your work and write down the answers. This is mandatory, due on Monday, April 3.
March 28: Work Period - more chain rule
Handout given in class:
c12_chain_rule_2.pdf
To do:
1. Complete the Chain Rule Practice worksheet and check your answers using the link above. This can be turned in for extra marks.
2. Textbook p153-155 do as many as you can. If You complete at least 12 questions from the textbook p 153-155 you can have one more work period to practice the chain rule on Wednesday,
Handout given in class:
c12_chain_rule_2.pdf
To do:
1. Complete the Chain Rule Practice worksheet and check your answers using the link above. This can be turned in for extra marks.
2. Textbook p153-155 do as many as you can. If You complete at least 12 questions from the textbook p 153-155 you can have one more work period to practice the chain rule on Wednesday,
March 27: Work period - practice the chain, product and quotient rule. Practice derivatives of trig functions
No handouts given in class.
To do:
1.Complete handouts from before the spring break if you have not done so.
2. Textbook p 146-147 do at least the odd questions.
No handouts given in class.
To do:
1.Complete handouts from before the spring break if you have not done so.
2. Textbook p 146-147 do at least the odd questions.
Enjoy your spring break. Stay safe and have fun.
March 10 - Work period - practicing differentiation rules
Handouts given in class:
c12_differentiation_quotient_rule.pdf
c12_differentiation_of_trig_functions.pdf
To do:
1. Complete the handouts, check your answers. These can be turned in for extra marks.
Handouts given in class:
c12_differentiation_quotient_rule.pdf
c12_differentiation_of_trig_functions.pdf
To do:
1. Complete the handouts, check your answers. These can be turned in for extra marks.
March 9: Chain Rule and Derivatives of Trigonometric functions
Handout given in class:
c12_chain_rule_1.pdf
To do:
1. Complete at least all the odd questions in the Chain Rule handout.
Handout given in class:
c12_chain_rule_1.pdf
To do:
1. Complete at least all the odd questions in the Chain Rule handout.
March 8: Product Rule, Quotient Rule
Handout given in class:
c12_differentiation_product_rule.pdf
To do:
1. Complete the handout and check your answers using the link above.
Handout given in class:
c12_differentiation_product_rule.pdf
To do:
1. Complete the handout and check your answers using the link above.
March 7: Rules of Differentiation
Handout given in class:
c12_ratinal_functions_revisited.pdf
c12_differentiation_power_constant_sum_and_difference.pdf
To:
1. Complete the handout and check your answers. c12_rational_functions_revisited_answers.pdf
2. Textbook p124: #1-12 all. Check your answers.
Handout given in class:
c12_ratinal_functions_revisited.pdf
c12_differentiation_power_constant_sum_and_difference.pdf
To:
1. Complete the handout and check your answers. c12_rational_functions_revisited_answers.pdf
2. Textbook p124: #1-12 all. Check your answers.
March 6: Derivative - introduction, definition, notation
No handout given in class
To do:
1. Textbook p 105 #9-17
2. Textbook p 108 #36 -41
No handout given in class
To do:
1. Textbook p 105 #9-17
2. Textbook p 108 #36 -41
March 3: Chapter 2 Review - work period
No handouts given in class.
To do:
1. If you have not done so, complete the following: p 92-95: #1,3, 5 and #9,11, 13, (#10,12, 14), #19-22, #23-28, Horizontal tangent questions #29 and 30. #31, 35-40
2. textbook questions p 95 All questions, p 96-97 at least the odd questions.
3. Make sure to consult your peers or your teacher or at least the solution manual.
No handouts given in class.
To do:
1. If you have not done so, complete the following: p 92-95: #1,3, 5 and #9,11, 13, (#10,12, 14), #19-22, #23-28, Horizontal tangent questions #29 and 30. #31, 35-40
2. textbook questions p 95 All questions, p 96-97 at least the odd questions.
3. Make sure to consult your peers or your teacher or at least the solution manual.
March 2: Limits and Continuity Test
No handouts given in class.
To do:
1. If you completed all homework and corrections from earlier, you have no new homework.
No handouts given in class.
To do:
1. If you completed all homework and corrections from earlier, you have no new homework.
March 1: Tangent Lines, Normal Lines, Instantaneous Rate of Change, Limits continued
No handout given in class.
To do:
1. Complete Questions 4-7 in Limits worksheet from Monday.
2. Study for the Limits and Continuity Test - Test tomorrow
No handout given in class.
To do:
1. Complete Questions 4-7 in Limits worksheet from Monday.
2. Study for the Limits and Continuity Test - Test tomorrow
February 28: Instantaneous Rate of Change, tangent lines - practice.
Handout is available only as a hard copy - sorry.
To do:
1. Work on questions from the handout given out today.
Handout is available only as a hard copy - sorry.
To do:
1. Work on questions from the handout given out today.
February 27: Work period - limits and instantaneous rate of change
Handout given in class:
c12_worksheet_limits.pdf
To do:
1. Worksheet - Limits #1, 2, 3. For #3 skip (F). Check your answers at the back of the handout.
2. Textbook p 92-92 #15-22
3. Textbook p 93 23-32 - recall that speed is the slope of a tangent to a displacement curve.
4. Start preparing for the Limits and Continuity Test - Test is on Thursday, March 2.
Handout given in class:
c12_worksheet_limits.pdf
To do:
1. Worksheet - Limits #1, 2, 3. For #3 skip (F). Check your answers at the back of the handout.
2. Textbook p 92-92 #15-22
3. Textbook p 93 23-32 - recall that speed is the slope of a tangent to a displacement curve.
4. Start preparing for the Limits and Continuity Test - Test is on Thursday, March 2.
February 23: work period - poster project completion
No handouts given.
To do:
1. Complete textbook questions if you have not done so yet.
2. If the 41-question assignment has not been turned in yet, make sure it is done for Monday.
No handouts given.
To do:
1. Complete textbook questions if you have not done so yet.
2. If the 41-question assignment has not been turned in yet, make sure it is done for Monday.
February 22: Instantaneous Rate of Change and Average Rate of Change
To do:
1. Textbook questions p 92 #1.3. 5. 9 11. 13
To do:
1. Textbook questions p 92 #1.3. 5. 9 11. 13
February 21: Work period - evaluating limits
Handout given in class.
c12_limits_practice_algebraic_approach.pdf
To do:
1. Complete all 41 question in the handout, Use lined paper to show work for all questions. This is mandatory, due for marks on Wednesday, February 22. You can work in a group.
Handout given in class.
c12_limits_practice_algebraic_approach.pdf
To do:
1. Complete all 41 question in the handout, Use lined paper to show work for all questions. This is mandatory, due for marks on Wednesday, February 22. You can work in a group.
February 20: Continuity at a point, average and instantaneous rate of change, Intermediate value theorem, Continuity Extension of a function revisited.
Handouts given in class:
c12_continuous_extension_to_f_x__notes_.pdf
c12_continuity_at_a_point_notes.pdf
To do:
1. Complete textbook questions assigned in the handout.
Handouts given in class:
c12_continuous_extension_to_f_x__notes_.pdf
c12_continuity_at_a_point_notes.pdf
To do:
1. Complete textbook questions assigned in the handout.
February 17: work period
Handout given in class:
c12_evaluating_limits_5_no_answers.pdf
To do:
1. Make sure questions assigned on Thursday are completed.
2. Questions 3-6 from today's handout can be turned in for open-book quiz marks. Due on Monday.
Handout given in class:
c12_evaluating_limits_5_no_answers.pdf
To do:
1. Make sure questions assigned on Thursday are completed.
2. Questions 3-6 from today's handout can be turned in for open-book quiz marks. Due on Monday.
February 16: Limits and Infinity
No handouts given in class
To do:
1. Textbook questions p 76: #1-56 do all odd questions.
No handouts given in class
To do:
1. Textbook questions p 76: #1-56 do all odd questions.
February 15: Evaluating Limits using Conjugates. Poster work
No handouts given in class
To do:
1. Make sure you can answer questions on pages 66-68
2. Make corrections to quizzes written in class since the beginning of the semester.
3. Answer question #8 and #13 in the Evaluating Limits booklet (20 questions with a blank cover page).
No handouts given in class
To do:
1. Make sure you can answer questions on pages 66-68
2. Make corrections to quizzes written in class since the beginning of the semester.
3. Answer question #8 and #13 in the Evaluating Limits booklet (20 questions with a blank cover page).
February 14: Proving lim(sinx/x), application of the sandwich theorem
Handout given in class:
c12_sandwich_theorem_practice.pdf
To do:
1. Make corrections to the Prerequisites Quiz.
2. Complete the Sandwich Theorem practice
Handout given in class:
c12_sandwich_theorem_practice.pdf
To do:
1. Make corrections to the Prerequisites Quiz.
2. Complete the Sandwich Theorem practice
February 13: Floor, ceiling function, Sandwich theorem, limits continued
Handouts given in class":
c12_evaluating_limits_extra.pdf
Handouts given in class":
c12_evaluating_limits_extra.pdf
February 10: quiz, evaluating limits
Handouts given in class:
c12_evaluating_limits_4.pdf
c12_evaluating_limits_3.pdf
To do:
1. Complete Evaluating Limits worksheets and check your answers. If you need explanations for certain questions, make sure to take note and bring them up on Monday.
2. Make sure that textbook questions assigned on Thursday are completed.
Handouts given in class:
c12_evaluating_limits_4.pdf
c12_evaluating_limits_3.pdf
To do:
1. Complete Evaluating Limits worksheets and check your answers. If you need explanations for certain questions, make sure to take note and bring them up on Monday.
2. Make sure that textbook questions assigned on Thursday are completed.
February 9: Determining limits
Handout given in class:
c12_evaluating_limits_1.pdf
c12_evaluating_limits_2.pdf
To do:
1. Textbook questions p 66-68. Do as many as you can, skip #1- 4 and questions that ask you to use the Sandwich theorem for now.
Handout given in class:
c12_evaluating_limits_1.pdf
c12_evaluating_limits_2.pdf
To do:
1. Textbook questions p 66-68. Do as many as you can, skip #1- 4 and questions that ask you to use the Sandwich theorem for now.
February 8: Properties of Limits, One-sided limits, Two-sided limits
No handout given in class.
To do:
1. Read your notes and make cue cards for the rules.
No handout given in class.
To do:
1. Read your notes and make cue cards for the rules.
February 7: Continuity and Limits - introduction
No handout given in class.
To do:
1. Read textbook p58-60. p80-81
2. Graph (try without technology first) functions p84 Navy Blue questions #1-10 and identify if they have discontinuities. If a discontinuity exists, classify is as removable or non-removable and determine its type (point, infinite, oscillating, jump).
3. Make sure you can graph all basic relations that are in your up-dated booklet.
No handout given in class.
To do:
1. Read textbook p58-60. p80-81
2. Graph (try without technology first) functions p84 Navy Blue questions #1-10 and identify if they have discontinuities. If a discontinuity exists, classify is as removable or non-removable and determine its type (point, infinite, oscillating, jump).
3. Make sure you can graph all basic relations that are in your up-dated booklet.
February 6: Binomial Theorem, Review summary.
Handouts given in class:
c12_even_and_odd_functions_blank.pdf
c12_binomial_theorem.pdf
To do:
1. Check your answers for Even and Odd Functions here:
c12_even_and_odd_functions_.pdf
2. Unless you took Stats 12 answer the two questions at the back of Binomial Theorem handout. This can be turned in for extra marks. You can check your work using an online binomial expansion calculator. Show your work please.
3. Work on textbook questions assigned last week.
Handouts given in class:
c12_even_and_odd_functions_blank.pdf
c12_binomial_theorem.pdf
To do:
1. Check your answers for Even and Odd Functions here:
c12_even_and_odd_functions_.pdf
2. Unless you took Stats 12 answer the two questions at the back of Binomial Theorem handout. This can be turned in for extra marks. You can check your work using an online binomial expansion calculator. Show your work please.
3. Work on textbook questions assigned last week.
February 3: Review Quiz 5, The Man Who Knew Infinity
Handouts given in class:
c12_properties_of_logarithms.pdf
To do:
1. Determine with your group what portions of the poster you are responsible for. Keep track of your resources when doing your research. Poster Project is due on February 22. This is a mandatory group project.
2. Work diligently on textbook questions assigned earlier, review all your notes.
3. Redraw all graphs of trig functions, circle, square root of a function and some reciprocals and inverses for practice. Check your work with desmos.
Handouts given in class:
c12_properties_of_logarithms.pdf
To do:
1. Determine with your group what portions of the poster you are responsible for. Keep track of your resources when doing your research. Poster Project is due on February 22. This is a mandatory group project.
2. Work diligently on textbook questions assigned earlier, review all your notes.
3. Redraw all graphs of trig functions, circle, square root of a function and some reciprocals and inverses for practice. Check your work with desmos.
February 2: Composite Functions and operations with functions review, Increasing and decreasing functions
Handout given in class:
c12_functions_-_overview_blank.pdf
To do:
1. Make sure all your handouts are filled in and homework assigned in the handouts is completed.
2. Review the definition of increasing and decreasing function on an interval.
3. Talk to your classmates about the distribution of work and roles for the Poster Project.
Handout given in class:
c12_functions_-_overview_blank.pdf
To do:
1. Make sure all your handouts are filled in and homework assigned in the handouts is completed.
2. Review the definition of increasing and decreasing function on an interval.
3. Talk to your classmates about the distribution of work and roles for the Poster Project.
February 1: The Man Who Knew Infinity - movie
Handout given in class:
c12_the_man_who_knew_infinity.pdf
c12_the_man_who_knew_infinity_poster_checklist.pdf
To do:
1. Make sure to jot down ideas while or shortly after you view the movie. This will help you during our class discussion and when you are working on the poster.
2. Continue your work on textbook questions.
Handout given in class:
c12_the_man_who_knew_infinity.pdf
c12_the_man_who_knew_infinity_poster_checklist.pdf
To do:
1. Make sure to jot down ideas while or shortly after you view the movie. This will help you during our class discussion and when you are working on the poster.
2. Continue your work on textbook questions.
January 31: Square root of a function,
Handout given in class:
c12_composite_function.pdf
To do:
1. Recall what you learned in Pre-Calculus 12 about composition of functions and operations with functions. Fill in the handout as much as you can, you can use this link to help you out: c12_composite_function_and_operations_with_functions_filled.pdf
If there are things that are not clear, make sure you ask in class on Thursday.
2. Continue with textbook questions assigned on Monday.
Handout given in class:
c12_composite_function.pdf
To do:
1. Recall what you learned in Pre-Calculus 12 about composition of functions and operations with functions. Fill in the handout as much as you can, you can use this link to help you out: c12_composite_function_and_operations_with_functions_filled.pdf
If there are things that are not clear, make sure you ask in class on Thursday.
2. Continue with textbook questions assigned on Monday.
January 30: Logarithmic Function review - graphs and transformations. Piecewise Functions.
Handouts given in class:
c12_picewise_functions_with_answers.pdf
c12_graphing_logs_ii.pdf
To do:
1 .Graph Log functions II, include the exact coordinates of the x-intercept and the question of the vertical asymptote. You can turn this in for extra marks by February 1 (Wednesday). You can check your answers here: c12_graphing_logarithmes_ii_with_answers.pdf
2. Textbook p26 #1-18 and p 28 #41-47 p 44-45 #1-30 odd only
3. Basic relations booklet: make sure you have a graph of logx, logx with base 0.1, e^x, and lnx.
Handouts given in class:
c12_picewise_functions_with_answers.pdf
c12_graphing_logs_ii.pdf
To do:
1 .Graph Log functions II, include the exact coordinates of the x-intercept and the question of the vertical asymptote. You can turn this in for extra marks by February 1 (Wednesday). You can check your answers here: c12_graphing_logarithmes_ii_with_answers.pdf
2. Textbook p26 #1-18 and p 28 #41-47 p 44-45 #1-30 odd only
3. Basic relations booklet: make sure you have a graph of logx, logx with base 0.1, e^x, and lnx.
January 27: Odd and Even Functions, Exponential Functions, Definition of a logarithm
Handouts given in class:
c12_graphing_exponential_functions.pdf
c12_odd_and_even_functions_notes.pdf
c12_inverse_of_logarithms_review_assignment_with_answers.pdf
To do:
1. Complete graphing Exp. Functions, write the exact equation of the horizontal asymptote and the exact coordinates of the y-intercept for each function. Check your graphs here (p3 and 4) c12_graphing_exp_functions_with_answers.pdf . You can turn this is for extra marks by January 31.
2. Complete Inverse of Logarithms, check your answers using the link above (p3-4). Show your work. You can turn this in for extra marks by Tuesday, January 31.
Handouts given in class:
c12_graphing_exponential_functions.pdf
c12_odd_and_even_functions_notes.pdf
c12_inverse_of_logarithms_review_assignment_with_answers.pdf
To do:
1. Complete graphing Exp. Functions, write the exact equation of the horizontal asymptote and the exact coordinates of the y-intercept for each function. Check your graphs here (p3 and 4) c12_graphing_exp_functions_with_answers.pdf . You can turn this is for extra marks by January 31.
2. Complete Inverse of Logarithms, check your answers using the link above (p3-4). Show your work. You can turn this in for extra marks by Tuesday, January 31.
January 26: Inverse of Trigonometric Functions.
No handouts given in class
To do:
1. Complete the Trigonometric Functions booklet - all pages except the last one. Use desmos for functions we have not covered in class (4. Other trig functions).
2. Make sure all basic, reciprocal and inverse trig functions are also in your Basic Relations Booklet.
No handouts given in class
To do:
1. Complete the Trigonometric Functions booklet - all pages except the last one. Use desmos for functions we have not covered in class (4. Other trig functions).
2. Make sure all basic, reciprocal and inverse trig functions are also in your Basic Relations Booklet.
January 25: Inverse of a Relation, Arcsine and Arccosine
Handouts given in class:
c12_completing_the_square.pdf
c12_inverse_of_a_relation.pdf
To do:
1. If you are having a hard time remembering how to complete the square, practice and check your answers here: c12_completing_the_square_answers.pdf
2. Draw a graph of arsin(x) and arccos(x) in the Basic Relations booklet.
3. Review properties of logarithms from PC12.
Handouts given in class:
c12_completing_the_square.pdf
c12_inverse_of_a_relation.pdf
To do:
1. If you are having a hard time remembering how to complete the square, practice and check your answers here: c12_completing_the_square_answers.pdf
2. Draw a graph of arsin(x) and arccos(x) in the Basic Relations booklet.
3. Review properties of logarithms from PC12.
January 24: Trigonometric Functions
Handout given in class:
c12_factoring__all_techniques__hard_.pdf
c12_trigonometric_functions.pdf
To do:
1. In trigonometric functions booklet, fill in information about f(x)=cot(x) . Check your answers here:
c12_cot_x__filled.pdf
2. Complete the factoring worksheet. You can check your answers here:
c12_factoring_review_answers_no_steps.pdf and if you need more details look here: c12factoring_review_answers_with_steps.pdf
Handout given in class:
c12_factoring__all_techniques__hard_.pdf
c12_trigonometric_functions.pdf
To do:
1. In trigonometric functions booklet, fill in information about f(x)=cot(x) . Check your answers here:
c12_cot_x__filled.pdf
2. Complete the factoring worksheet. You can check your answers here:
c12_factoring_review_answers_no_steps.pdf and if you need more details look here: c12factoring_review_answers_with_steps.pdf
January 23: Reciprocal of a Function.
Handout given in class;
c12_reciprocal_of_a_function.pdf
To do:
1. Graph the following: 1. f(x)=1/(x^2+3); 2. g(x)= 1/(-x^2+3) ; 3. h(x) = 1/abs(x). Determine the domain and range of each function.
2. Continue with textbook questions assigned last week.
Handout given in class;
c12_reciprocal_of_a_function.pdf
To do:
1. Graph the following: 1. f(x)=1/(x^2+3); 2. g(x)= 1/(-x^2+3) ; 3. h(x) = 1/abs(x). Determine the domain and range of each function.
2. Continue with textbook questions assigned last week.
January 20: Absolute Value function continued. Piece-wise definition of a function. Basic Relations.
No handout given in class.
To do:
1. Continue with textbook questions assigned earlier.
No handout given in class.
To do:
1. Continue with textbook questions assigned earlier.
January 19: Absolute value function continued, linear function - review.
No handout given in class
To do:
1. Continue your work on textbook questions assigned on Tuesday.
No handout given in class
To do:
1. Continue your work on textbook questions assigned on Tuesday.
January 18: Absolute Value Function. Piece-wise definition of a function
Handouts given in class:
To do:
1. Continue with questions assigned on Tuesday. Answer as many as you can.
Handouts given in class:
To do:
1. Continue with questions assigned on Tuesday. Answer as many as you can.
January 17: Welcome in Calculus 12 - course expectations, basic relations review
Handouts given in class:
c12_basic_relations.pdf
greek-alphabet.pdf
pc11_real_number_system.pdf
calculus_12_course_outline_2022_2023.pdf
To do:
1. Complete course outline, sign it, have it signed by a parent/guardian if you are not 18 yet. Turn this in by Friday, January 20. This is mandatory.
2. Review equations of a line, read textbook p4-3.
3. Do as many questions as you can on p9-11.
Handouts given in class:
c12_basic_relations.pdf
greek-alphabet.pdf
pc11_real_number_system.pdf
calculus_12_course_outline_2022_2023.pdf
To do:
1. Complete course outline, sign it, have it signed by a parent/guardian if you are not 18 yet. Turn this in by Friday, January 20. This is mandatory.
2. Review equations of a line, read textbook p4-3.
3. Do as many questions as you can on p9-11.