May 2: Implicit differentiation quiz, second derivative test
No handouts given in class
No handouts given in class
May 1: Simplifying rational expressions review, concavity.
A handout given in class.
c12_connecting_f__and_f__with_f_notes.pdf
To do:
1. Prepare for Implicit Differentiation Quiz - it has been moved from Wednesday to Thursday.
2. Derivative test is moved to Tuesday, May 7 - make sure to practice exp, log, inverse trig, trig derivatives.
3. Textbook: p 215 #7-12 and #13-20
A handout given in class.
c12_connecting_f__and_f__with_f_notes.pdf
To do:
1. Prepare for Implicit Differentiation Quiz - it has been moved from Wednesday to Thursday.
2. Derivative test is moved to Tuesday, May 7 - make sure to practice exp, log, inverse trig, trig derivatives.
3. Textbook: p 215 #7-12 and #13-20
April 30: Derivative quiz, Concavity, Inflection Points
Handout given in class:
c12_concavity.pdf
To do:
1. Complete the worksheet and check your answers using the link above (p3-4)
Handout given in class:
c12_concavity.pdf
To do:
1. Complete the worksheet and check your answers using the link above (p3-4)
April 29: First Derivative Test
No handouts given in class.
To do:
1. Complete #9-12 in Absolute extrema worksheet, use the first derivative test.
2. Derivative quiz I tomorrow - only power, constant, product, quotient rules and higher order derivatives. No logs, exp, trig on this quiz. No cue card.
3. Unit 3 test will be on Thursday, May 2nd.
No handouts given in class.
To do:
1. Complete #9-12 in Absolute extrema worksheet, use the first derivative test.
2. Derivative quiz I tomorrow - only power, constant, product, quotient rules and higher order derivatives. No logs, exp, trig on this quiz. No cue card.
3. Unit 3 test will be on Thursday, May 2nd.
April 25: Tangents and Normal Lines
Handout given in class.
To do:
1. Complete the tangent lines worksheet and check your answers using the link above.
2. Continue your work on textbook questions: p 194 #19-30
Handout given in class.
To do:
1. Complete the tangent lines worksheet and check your answers using the link above.
2. Continue your work on textbook questions: p 194 #19-30
April 24: Extreme Values of Functions continued
Handout given in class:
c12_absolute_extrema_worksheet.pdf
To do:
1. Complete questions #1-8 (for now) in the worksheet.
2. Make sure textbook questions from yesterday are completed.
3. Derivative quiz is tomorrow - know your derivative rules, no inverse trig.
Handout given in class:
c12_absolute_extrema_worksheet.pdf
To do:
1. Complete questions #1-8 (for now) in the worksheet.
2. Make sure textbook questions from yesterday are completed.
3. Derivative quiz is tomorrow - know your derivative rules, no inverse trig.
April 23: Extreme Values of Functions
Handout given in class:
c12_extreme_values_of_functions_notes.pdf
To do:
1. Textbook p 193-194 #1-10 - check your answers with the solution manual.
2. Textbook p 194 # 11-18 - check your answers with the solution manual.
Handout given in class:
c12_extreme_values_of_functions_notes.pdf
To do:
1. Textbook p 193-194 #1-10 - check your answers with the solution manual.
2. Textbook p 194 # 11-18 - check your answers with the solution manual.
April 22: Differentiability
Handout give in class:
To do:
1. Complete questions at the back of the handout and check your answers here: c12_answers_for_differentiability_questions.pdf
2 Complete textbook questions p 114 #1-16, check your answers with the solution manual. For Q1-4 you can find a derivative for each branch and evaluate it at the given value and compare the results if they are not the same, derivative does not exist = not differentiable.
Handout give in class:
To do:
1. Complete questions at the back of the handout and check your answers here: c12_answers_for_differentiability_questions.pdf
2 Complete textbook questions p 114 #1-16, check your answers with the solution manual. For Q1-4 you can find a derivative for each branch and evaluate it at the given value and compare the results if they are not the same, derivative does not exist = not differentiable.
April 19: Derivative at a value and higher order derivatives.
Handouts given in class:
c12_derivative_at_a_value_with_answers.pdf
c12_higher_order_derivatives_with_answers.pdf
To do:
1. Finish Implicit Differentiation assignment, due on Monday, April 22.
2. Complete at least 4 questions from each handout given today.
Handouts given in class:
c12_derivative_at_a_value_with_answers.pdf
c12_higher_order_derivatives_with_answers.pdf
To do:
1. Finish Implicit Differentiation assignment, due on Monday, April 22.
2. Complete at least 4 questions from each handout given today.
April 18: Derivatives with tables, Implicit Differentiation practice
No handouts given in class.
To do:
1. Continue your work on assignments from Wednesday and Tuesday. Table #13-15 on Implicit differentiation until tomorrow.
No handouts given in class.
To do:
1. Continue your work on assignments from Wednesday and Tuesday. Table #13-15 on Implicit differentiation until tomorrow.
April 17: Implicit Differentiation
Handouts given in class:
c12_implicit_differentiation_with_answers.pdf
c12_implicity_differentiation_notes.pdf
To do:
1. Complete the Implicit differentiation worksheet, check your answers. Turn it in on Monday, April 22. This is mandatory. Please note that for some questions you will need to show work on a separate sheet of paper. Q15 is for extra L4 marks..
Handouts given in class:
c12_implicit_differentiation_with_answers.pdf
c12_implicity_differentiation_notes.pdf
To do:
1. Complete the Implicit differentiation worksheet, check your answers. Turn it in on Monday, April 22. This is mandatory. Please note that for some questions you will need to show work on a separate sheet of paper. Q15 is for extra L4 marks..
April 16: Logarithmic Differentiation and Differentiation with Tables
Handouts given in class;
c12_logarithmic_differentiation.pdf
c12_derivatives_with_tables_1.pdf
c12_derivatives_with_tables_2.pdf
To do:
1. Complete #1-4 +1more question on page one of logarithmic differentiation. Complete at least 2 more questions on page 2. Use logarithmic differentiation for all questions. Check your answers using the link above.
2. Start working on Derivatives Rules Using Tables: #1, 2, 3 and 4 all, and #5 and 6 only parts 1,2,3, and 4 for now. The entire assignment is due on Friday, April 19. To earn "extending" on this assignment, you have to show your work with all necessary detail.
Handouts given in class;
c12_logarithmic_differentiation.pdf
c12_derivatives_with_tables_1.pdf
c12_derivatives_with_tables_2.pdf
To do:
1. Complete #1-4 +1more question on page one of logarithmic differentiation. Complete at least 2 more questions on page 2. Use logarithmic differentiation for all questions. Check your answers using the link above.
2. Start working on Derivatives Rules Using Tables: #1, 2, 3 and 4 all, and #5 and 6 only parts 1,2,3, and 4 for now. The entire assignment is due on Friday, April 19. To earn "extending" on this assignment, you have to show your work with all necessary detail.
April 15: Work period - derivatives of trig, inverse trig, exponentials and logarithms.
Handout given in class:
To do:
1. Full solution to Log/Exp worksheet from last week is due tomorrow, April 16 (this has changed from April 15 to accommodate those who wrote the literacy assessment). This is mandatory
2. Full solutions to Trig and Inverse Trig worksheet are due on Wednesday, April 17. This is mandatory.
Handout given in class:
To do:
1. Full solution to Log/Exp worksheet from last week is due tomorrow, April 16 (this has changed from April 15 to accommodate those who wrote the literacy assessment). This is mandatory
2. Full solutions to Trig and Inverse Trig worksheet are due on Wednesday, April 17. This is mandatory.
April 12: Derivatives of Inverse Trigonometric Functions
Handout given in class:
c12_derivatives_of_inverse_trig_functions_notes.pdf
To do:
1. Textbook p 170 #1-26 Make sure to consult the solution manual or the online derivative calculator.
Handout given in class:
c12_derivatives_of_inverse_trig_functions_notes.pdf
To do:
1. Textbook p 170 #1-26 Make sure to consult the solution manual or the online derivative calculator.
April 11: Derivatives of Exponential and Logarithmic Functions
Handout given in class.
c12_differentiation_of_logs_and_exp.pdf
c12_differentiation_natural_logs_and_exp.pdf
To do.
1. Complete the worksheet and check your answers using the link above.
Handout given in class.
c12_differentiation_of_logs_and_exp.pdf
c12_differentiation_natural_logs_and_exp.pdf
To do.
1. Complete the worksheet and check your answers using the link above.
April 10: Chain Rule - work period
Handout given in class:c12_chain_rule_assignmnet_i.pdf
To do:
1. Complete the assigment, make sure to show your work. Check answers using online derivative calculator with steps. Turn in on Friday, April 12. There is no grace period on this mandatory assignment as you had an entire class to work on it today.
Handout given in class:c12_chain_rule_assignmnet_i.pdf
To do:
1. Complete the assigment, make sure to show your work. Check answers using online derivative calculator with steps. Turn in on Friday, April 12. There is no grace period on this mandatory assignment as you had an entire class to work on it today.
April 9: Chain Rule - work period
No new handouts given in class.
Make sure you have these handouts from March 25:
c12_chain_rule_worksheet_with_answers.pdf
c12_chain_rule_practice_with_answers.pdf
To do:
1. Make sure all three Chain Rule worksheets are completed and your answers are checked.
No new handouts given in class.
Make sure you have these handouts from March 25:
c12_chain_rule_worksheet_with_answers.pdf
c12_chain_rule_practice_with_answers.pdf
To do:
1. Make sure all three Chain Rule worksheets are completed and your answers are checked.
Marc 26-April 8: Movies, research, posters
We watched: The Man Who Knew Infinity, Fractals, Hidden Figures.
Posters due on April 8 - mandatory
Reflection worksheets - due on April 9.
We watched: The Man Who Knew Infinity, Fractals, Hidden Figures.
Posters due on April 8 - mandatory
Reflection worksheets - due on April 9.
March 25: Derivatives of Trigonometric Functions. Chain Rule
Handout given in class:
c12_chain_rule_1_with_answers.pdf
To do:
1. Complete the worksheet and check your answers using the link above.
Handout given in class:
c12_chain_rule_1_with_answers.pdf
To do:
1. Complete the worksheet and check your answers using the link above.
March 8: Product and Quotient Rule
Handouts given in class:
c12_differentiation_quotient_rule.pdf
c12_differentiation_product_rule.pdf
To do:
1. Complete both worksheets and check your answers using the links above.
2. Enjoy March Break - stay safe.
Handouts given in class:
c12_differentiation_quotient_rule.pdf
c12_differentiation_product_rule.pdf
To do:
1. Complete both worksheets and check your answers using the links above.
2. Enjoy March Break - stay safe.
March 7: Introduction to Derivatives
Handout given in class:
c12_differentiation_-_power_constant_and_sum_rules_with_answers.pdf
To do:
1. Complete the worksheet and check your answers using the link above (p3 and 4).
2. Textbook p 105 -106 #13-16, #17-20
Handout given in class:
c12_differentiation_-_power_constant_and_sum_rules_with_answers.pdf
To do:
1. Complete the worksheet and check your answers using the link above (p3 and 4).
2. Textbook p 105 -106 #13-16, #17-20
March 6: Midterm Test
No handouts given in class
To do:
1. Relax.
No handouts given in class
To do:
1. Relax.
March 5: Review and practice
Handout given in class:
c12_limits_and_continuity_practice_assignment.pdf
To do:
1. Complete the assignment. Use desmos to check your work.
2. Make sure your help page is ready for tomorrow - Big test tomorrow.
Handout given in class:
c12_limits_and_continuity_practice_assignment.pdf
To do:
1. Complete the assignment. Use desmos to check your work.
2. Make sure your help page is ready for tomorrow - Big test tomorrow.
March 4: Review and practice - tangent, normal and secant lines. Limits and continuity
Handouts given in class:
c12_evaluating_limits_v_with_answers.pdf
c12_instantaneous_rate_of_change_ii.pdf
To do:
1. Complete both worksheets and check your answers.
2. Continue your review and practice for the Big test
Handouts given in class:
c12_evaluating_limits_v_with_answers.pdf
c12_instantaneous_rate_of_change_ii.pdf
To do:
1. Complete both worksheets and check your answers.
2. Continue your review and practice for the Big test
March 1: Limits and Continuity Quiz rewrite, Evaluating Limits, continued
No new handouts given in class.
To do:
1. Make sure that the limits assignment due today is completed - grace period ends on Monday.
2. Start redoing all quizzes in preparation for the Big test on Wednesday.
No new handouts given in class.
To do:
1. Make sure that the limits assignment due today is completed - grace period ends on Monday.
2. Start redoing all quizzes in preparation for the Big test on Wednesday.
February 29: Evaluating Limits - work period
No new handouts given in class
To do:
1. Make sure you can answer all questions in Evaluating Limits VI.
2. Finish the Algebraic Approach to limits. - due tomorrow.
3. You can make a one-sided help page (letter size) for the Big test on Wednesday.
4. Remember that the Limits and Continuity Quiz rewrite is tomorrow.
No new handouts given in class
To do:
1. Make sure you can answer all questions in Evaluating Limits VI.
2. Finish the Algebraic Approach to limits. - due tomorrow.
3. You can make a one-sided help page (letter size) for the Big test on Wednesday.
4. Remember that the Limits and Continuity Quiz rewrite is tomorrow.
February 28:Work period, Evaluating Limits and Continuity
No handouts given in class
To do:
1. Complete the limits worksheet given on Tuesday, This is mandatory. Due on Friday, March 1.
2. Limits and Continuity Quiz rewrite/write on Friday, March 1.
3. Start preparing for the "Big test" this will be next week on Wednesday, March 6th.
No handouts given in class
To do:
1. Complete the limits worksheet given on Tuesday, This is mandatory. Due on Friday, March 1.
2. Limits and Continuity Quiz rewrite/write on Friday, March 1.
3. Start preparing for the "Big test" this will be next week on Wednesday, March 6th.
February 27: Limits and Continuity Quiz, Evaluating Limits continued
Handout given in class:
c12_limits_practice_algebraic_approach.pdf
To do:
1. Answer all questions in todays handout, show work on a separate sheet of paper for more complex questions. Write final answers in the original handouts. This is a mandatory assignment, due for marks on Friday, March 1. Note, you can use desmos to check your answers.
Handout given in class:
c12_limits_practice_algebraic_approach.pdf
To do:
1. Answer all questions in todays handout, show work on a separate sheet of paper for more complex questions. Write final answers in the original handouts. This is a mandatory assignment, due for marks on Friday, March 1. Note, you can use desmos to check your answers.
February 26: Tangents, Secants, Rates of Change, Evaluating limits continued
Handout given in class:
c12_evaluating_limits_6.pdf
To do:
1. Evaluating Limits VI, graph each function using desmos and sketch each graph on p2 of the handout.
2. Finish Limits worksheet assignment - due tomorrow.
3. Prepare for Limits and Continuity quiz - quiz tomorrow, details given in class.
Handout given in class:
c12_evaluating_limits_6.pdf
To do:
1. Evaluating Limits VI, graph each function using desmos and sketch each graph on p2 of the handout.
2. Finish Limits worksheet assignment - due tomorrow.
3. Prepare for Limits and Continuity quiz - quiz tomorrow, details given in class.
February 22: Instantaneous Rate of Change, Equations of Secant and Tangent Lines, linear function quiz
Handout given in class:
c12_slopes_of_secants_and_tangent_lines.pdf
To do:
1. Complete Limits Worksheet - due on Tuesday.
2. Complete Continuity worksheet.
3. Start work on Slopes of Secant and Tangent Lines handout.
Handout given in class:
c12_slopes_of_secants_and_tangent_lines.pdf
To do:
1. Complete Limits Worksheet - due on Tuesday.
2. Complete Continuity worksheet.
3. Start work on Slopes of Secant and Tangent Lines handout.
February 21: Continuity at a point, Average Rate of Change formula, Evaluating limits continued
Handouts given in class:
c12_continuity_at_a_point_notes.pdf
c12_continuity_worksheet_with_answers.pdf
To do:
1. Limits Worksheet given out yesterday - this is assignment has a priority.
2. Questions #1-12 in Continuity worksheet - this has not been assigned a due date yet. You will need to show work to earn marks. Check a sample response here:c12_continuity_worksheet_full_answers.pdf
Handouts given in class:
c12_continuity_at_a_point_notes.pdf
c12_continuity_worksheet_with_answers.pdf
To do:
1. Limits Worksheet given out yesterday - this is assignment has a priority.
2. Questions #1-12 in Continuity worksheet - this has not been assigned a due date yet. You will need to show work to earn marks. Check a sample response here:c12_continuity_worksheet_full_answers.pdf
February 20: Prerequisites Review, Evaluating Limits using conjugates
Handout given in class:
c12_worksheet_limits.pdf
To do:
1. Review linear function, all types of equations of lines, parallel and perpendicular lines, slope of a line.
Quiz on Thursday.
2. Limits worksheet, this is a mandatory assignment. Due for marks on February 27. Questions #1 and #2 can be filled in on the first pages. The rest of the questions have to be done on a lined paper. All work must be shown. If you solve a limit by graphing, you have to include a sketch of a graph that was done without technology.
3. Review, practice for Prerequisites Quiz I - rewrite is next week.
Handout given in class:
c12_worksheet_limits.pdf
To do:
1. Review linear function, all types of equations of lines, parallel and perpendicular lines, slope of a line.
Quiz on Thursday.
2. Limits worksheet, this is a mandatory assignment. Due for marks on February 27. Questions #1 and #2 can be filled in on the first pages. The rest of the questions have to be done on a lined paper. All work must be shown. If you solve a limit by graphing, you have to include a sketch of a graph that was done without technology.
3. Review, practice for Prerequisites Quiz I - rewrite is next week.
February 19: Sandwich Theorem, Proving lim of sinx/x
Handouts given in class:
Graphing Logarithms - not mandatory, but recommended:
c12_graphing_logarithms_i_with_answers.pdf
c12_graphing_logarithms_ii_with_answers.pdf
c12_sandwich_theorem_practice.pdf
c12_sandwich_theorem_and_important_graphs.pdf
To do:
1. Complete Sandwich Theorem practice questions and use desmos to check your anwers.
2. Use desmos to fill in page 3 in the sandwich theorem handout - make sure to be very familiar with those graphs.
3. Use your notes to fill in page 2 in the Sandwich theorem handout
4. Textbook: p 68 #59-62
Handouts given in class:
Graphing Logarithms - not mandatory, but recommended:
c12_graphing_logarithms_i_with_answers.pdf
c12_graphing_logarithms_ii_with_answers.pdf
c12_sandwich_theorem_practice.pdf
c12_sandwich_theorem_and_important_graphs.pdf
To do:
1. Complete Sandwich Theorem practice questions and use desmos to check your anwers.
2. Use desmos to fill in page 3 in the sandwich theorem handout - make sure to be very familiar with those graphs.
3. Use your notes to fill in page 2 in the Sandwich theorem handout
4. Textbook: p 68 #59-62
February 16: Evaluating Limits Involving Infinity - continued
Handouts given in class:
c12_evaluating_limits_iii_with_answers.pdf
To do:
1. Complete the worksheet and check your answers using desmos and p3 and 4 of the document linked above.
2. Make sure you answered all textbook questions from this week.
Handouts given in class:
c12_evaluating_limits_iii_with_answers.pdf
To do:
1. Complete the worksheet and check your answers using desmos and p3 and 4 of the document linked above.
2. Make sure you answered all textbook questions from this week.
February 15: Prerequisites Quiz I
To do:
1. Continue your work on textbook questions.
To do:
1. Continue your work on textbook questions.
In preparation of the "big" quiz on Thursday, February 15: make sure you can do the following:
determine odd/even/neither function, increasing/decreasing/monotonic, absolute value, reciprocal, square root of a function, domain, range, one-to-one function, graph any relation that is in the basic relations booklet.
February 14: Limits involving Infinity
Handout given in class:
c12_evaluating_limits_in_infinity_worksheet_with_answers.pdf
TO do:
1. Complete the worksheet and check your answers using the link above. Use desmos to graph many of the functions on p2 of the handout.
2. Textbook: p 76 #55 and 56
3. Textbook p 77 #59 -65 and #1-3 and #4 using desmos answer a, b, c
determine odd/even/neither function, increasing/decreasing/monotonic, absolute value, reciprocal, square root of a function, domain, range, one-to-one function, graph any relation that is in the basic relations booklet.
February 14: Limits involving Infinity
Handout given in class:
c12_evaluating_limits_in_infinity_worksheet_with_answers.pdf
TO do:
1. Complete the worksheet and check your answers using the link above. Use desmos to graph many of the functions on p2 of the handout.
2. Textbook: p 76 #55 and 56
3. Textbook p 77 #59 -65 and #1-3 and #4 using desmos answer a, b, c
February 13: IVT, Continuous Extension of a Function, Limits of Rational Functions, Continuous Functions
Handouts given in class:
c12_limits_of_rational_functions_blank.pdf
c12_continuous_extension_and_ivt.pdf
To do:
1. Make sure your Basic Relation Booklet is up-to date.
2. Complete Limits of Rational Functions, check your answers with Desmos and here:
c12_limits_of_rational_functions_filled.pdf
3. Complete textbook questions assigned in the notes today.
Handouts given in class:
c12_limits_of_rational_functions_blank.pdf
c12_continuous_extension_and_ivt.pdf
To do:
1. Make sure your Basic Relation Booklet is up-to date.
2. Complete Limits of Rational Functions, check your answers with Desmos and here:
c12_limits_of_rational_functions_filled.pdf
3. Complete textbook questions assigned in the notes today.
February 12: Rigorous definition of a Limit, Rules of Limits, Types of Discontinuities
Handout given in class
c12_limits_and_their_properties_notes_blank.pdf
To do:
1. Textbook (dark blue questions) p 84 #1-14
2. Textbook p 84-85 #19-24
Handout given in class
c12_limits_and_their_properties_notes_blank.pdf
To do:
1. Textbook (dark blue questions) p 84 #1-14
2. Textbook p 84-85 #19-24
February 9: Limits - introduction, evaluating limits by substitution, evaluating limits from a graph.
Handouts given in class:
c12_evaluating_limits_2.pdf
c12_evaluating_limits_1.pdf
To do:
1. Complete the worksheets and check your answers for Evaluating Limits II using p3 and 4 of the link above.
2. Textbook: p 66 #7-14 p 67 #39-44
3. In preparation of the "big" quiz on Thursday, February 15: make sure you can do the following:
determine odd/even/neither function, increasing/decreasing/monotonic, absolute value,...
Handouts given in class:
c12_evaluating_limits_2.pdf
c12_evaluating_limits_1.pdf
To do:
1. Complete the worksheets and check your answers for Evaluating Limits II using p3 and 4 of the link above.
2. Textbook: p 66 #7-14 p 67 #39-44
3. In preparation of the "big" quiz on Thursday, February 15: make sure you can do the following:
determine odd/even/neither function, increasing/decreasing/monotonic, absolute value,...
February 8: Piece-Wise Defined Functions, Binomial Theorem
Handouts given in class:
_c12_binomial_theorem_worksheet_with_answers.pdf
c12_binomial_theorem.pdf
c12_piecewise_functions_with_answers.pdf
You can check your answers for the two practice questions on p4 in Binomial theorem here: c12_binomial_theorem_filled.pdf
To do:
1. Answers as many questions in the Binomial Theorem worksheet as you need to feel confident about applying the binomial theorem.
2. Practice graphing: absolute value of a function, reciprocal of a function, inverse of a function, square root of a function, compositions of functions.
Handouts given in class:
_c12_binomial_theorem_worksheet_with_answers.pdf
c12_binomial_theorem.pdf
c12_piecewise_functions_with_answers.pdf
You can check your answers for the two practice questions on p4 in Binomial theorem here: c12_binomial_theorem_filled.pdf
To do:
1. Answers as many questions in the Binomial Theorem worksheet as you need to feel confident about applying the binomial theorem.
2. Practice graphing: absolute value of a function, reciprocal of a function, inverse of a function, square root of a function, compositions of functions.
February 7: Composite Functions, Rational Exponents, Graphing Square Root of a Function
No handouts given in class.
To do:
1. Review rational exponents and radicals.
2. Graph the two functions assigned in class and check your work with desmos.
3. Continue your work/start your work on textbook questions assigned on Monday.
No handouts given in class.
To do:
1. Review rational exponents and radicals.
2. Graph the two functions assigned in class and check your work with desmos.
3. Continue your work/start your work on textbook questions assigned on Monday.
February 6: Trigonometric functions quiz, Opioid presentation
No handouts given in class.
To do:
1. Review all functions in the Basic Relations Booklet and Trigonometric Functions booklet - quiz tomorrow. This quiz may also cover factoring using difference and sum of cubes or substitution, inverse of a relation, including questions assigned today (3 on your to-do list).
2. Textbook: composite function questions: p 56 #41-44 p 20 #51-52
3. Textbook p 44 #13-24, Pay close attention to the relationship of a functions composed with its own inverse. You might find this website helpful: mathquest.carroll.edu/CarrollActiveCalculus/S_0_3_Transformations.html#:~:text=The%20composition%20of%20a%20function,(x))%3Dx..
Read
No handouts given in class.
To do:
1. Review all functions in the Basic Relations Booklet and Trigonometric Functions booklet - quiz tomorrow. This quiz may also cover factoring using difference and sum of cubes or substitution, inverse of a relation, including questions assigned today (3 on your to-do list).
2. Textbook: composite function questions: p 56 #41-44 p 20 #51-52
3. Textbook p 44 #13-24, Pay close attention to the relationship of a functions composed with its own inverse. You might find this website helpful: mathquest.carroll.edu/CarrollActiveCalculus/S_0_3_Transformations.html#:~:text=The%20composition%20of%20a%20function,(x))%3Dx..
Read
February 5: Composite Function, Operations with Functions, Rational Function - review
Handouts given in class:
c12_rational_functions_revisited.pdf
c12_composite_function.pdf
To do:
1. Complete the rational function review and check your answers here: c12_rational_functions_revisited_answers.pdf
2. Make sure you can graph all trigonometric functions from Friday's booklet.
Handouts given in class:
c12_rational_functions_revisited.pdf
c12_composite_function.pdf
To do:
1. Complete the rational function review and check your answers here: c12_rational_functions_revisited_answers.pdf
2. Make sure you can graph all trigonometric functions from Friday's booklet.
February 2: Work period - graphing and analyzing trigonometric functions
Handouts given in class:
c12_graphing_exp_functios_worksheet.pdf
c12_graphing_logs_i.pdf
c12_trigonometric_functions_booklet.pdf
To do:
1. Complete the booklet and check your answers here: c12_trigonometric_functions_booklet_filled.pdf
2. Textbook: p 52 top: #1-10. p 52 (dark blue) #5-8, #11-14
3. Textbook. 53 #31-40 - do as many as you can.
Handouts given in class:
c12_graphing_exp_functios_worksheet.pdf
c12_graphing_logs_i.pdf
c12_trigonometric_functions_booklet.pdf
To do:
1. Complete the booklet and check your answers here: c12_trigonometric_functions_booklet_filled.pdf
2. Textbook: p 52 top: #1-10. p 52 (dark blue) #5-8, #11-14
3. Textbook. 53 #31-40 - do as many as you can.
February 1: Review of Exponential and Logarithmic functions
Handouts given in class:
c12_exp_and_log_functions_review.pdf
c12_log_and_exp_equations_review.pdf
c12_inverse_of_logarithms_with_answers.pdf
To do:
1. Textbook: read p 37-43, make sure you remember all the important laws of logarithms.
2. Complete the Inverse of Logarithms worksheet and check your answers on p 3 and 4 using the link above.
Handouts given in class:
c12_exp_and_log_functions_review.pdf
c12_log_and_exp_equations_review.pdf
c12_inverse_of_logarithms_with_answers.pdf
To do:
1. Textbook: read p 37-43, make sure you remember all the important laws of logarithms.
2. Complete the Inverse of Logarithms worksheet and check your answers on p 3 and 4 using the link above.
January 31: Inverse Trig Functions, Increasing/decreasing/monotonic functions
Handout given in class:
c12_functions_notes.pdf
To do:
1. Classwork: Textbook p 44-45 #1-6, #39-42, #54-57
2. Graph all inverse and reciprocal trig functions in the "Basic Relations" booklet. Try without technology, use desmos to check your work. Work in a pencil.
3. Make sure you understand the difference between a reciprocal of a function and an inverse of a function.
4. Do not neglect questions assigned on Tuesday.
Handout given in class:
c12_functions_notes.pdf
To do:
1. Classwork: Textbook p 44-45 #1-6, #39-42, #54-57
2. Graph all inverse and reciprocal trig functions in the "Basic Relations" booklet. Try without technology, use desmos to check your work. Work in a pencil.
3. Make sure you understand the difference between a reciprocal of a function and an inverse of a function.
4. Do not neglect questions assigned on Tuesday.
January 30:Quiz, Inverse of a relation
Handout given in class:
c12_inverse_of_a_relation_notes.pdf
To do:
1. Make sure you can graph sec(x), csc(x), cot(x) and their transformations. Review reciprocal of a function, odd/even/neither functions, absolute value functions and linear equations.
2. Textbook: p 19 #13-20, Use desmos to graph the functions, but at this point you should be able to sketch #15, 14, 16, and 20 without any technology - try it!
3. p 19 #21-30
Handout given in class:
c12_inverse_of_a_relation_notes.pdf
To do:
1. Make sure you can graph sec(x), csc(x), cot(x) and their transformations. Review reciprocal of a function, odd/even/neither functions, absolute value functions and linear equations.
2. Textbook: p 19 #13-20, Use desmos to graph the functions, but at this point you should be able to sketch #15, 14, 16, and 20 without any technology - try it!
3. p 19 #21-30
January 29: Reciprocal of a function
Handouts given in class:
c12_trigonometric_functions_-_review.pdf
c12_reciprocal_of_a_function_notes.pdf
To do:
1. Review, practice all basic relations on p1-3 in your Basic Relations booklet, all forms of the equation of a line, all transformations from Pre-Calc. 12, absolute value function, odd/even/neither function.
2. Complete Trigonometric Functions - Review and check your answers here: c12_trigonometric_functions_-_review_filled.pdf
Handouts given in class:
c12_trigonometric_functions_-_review.pdf
c12_reciprocal_of_a_function_notes.pdf
To do:
1. Review, practice all basic relations on p1-3 in your Basic Relations booklet, all forms of the equation of a line, all transformations from Pre-Calc. 12, absolute value function, odd/even/neither function.
2. Complete Trigonometric Functions - Review and check your answers here: c12_trigonometric_functions_-_review_filled.pdf
January 26: Completing the Square, Functions - graphs and equations - practice
Handout given in class.
c12_real_number_system.pdf
c12_trig_formulas.pdf
c12_completing_the_square_worksheet.pdf
To do:
1. Practice completing the square, check your answers here: c12_completeing_the_square_answers.pdf
2. Make sure you can graph and transform all graphs in Basic Relations booklet we have discussed so far.
3. Make sure you can answer all previously assigned questions.
Handout given in class.
c12_real_number_system.pdf
c12_trig_formulas.pdf
c12_completing_the_square_worksheet.pdf
To do:
1. Practice completing the square, check your answers here: c12_completeing_the_square_answers.pdf
2. Make sure you can graph and transform all graphs in Basic Relations booklet we have discussed so far.
3. Make sure you can answer all previously assigned questions.
January 25: Quiz, Absolute Value functions continued, factoring polynomials - new techniques: substitution, grouping, difference and sum of cubes. Odd and Even Functions continued.
Handouts given in class:
c12_factoring__all_techniques__hard_.pdf
c12_even_and_odd_functions_worksheet.pdf
To do:
1. Complete as many factoring questions as you can, check your answers here: c12_factoring_review_answers_no_steps.pdf
With steps here; c12factoring_review_answers_with_steps.pdf
2. Complete the Even/Odd Functions handout and use Desmos to make sure your examples are correct. For possible answers check here: c12_even_and_odd_functions_worksheet_answers.pdf
Handouts given in class:
c12_factoring__all_techniques__hard_.pdf
c12_even_and_odd_functions_worksheet.pdf
To do:
1. Complete as many factoring questions as you can, check your answers here: c12_factoring_review_answers_no_steps.pdf
With steps here; c12factoring_review_answers_with_steps.pdf
2. Complete the Even/Odd Functions handout and use Desmos to make sure your examples are correct. For possible answers check here: c12_even_and_odd_functions_worksheet_answers.pdf
January 24: Odd and Even Functions, Absolute Value Function
Handouts given in class:
c12_absolute_value_function_notes.pdf
c12_odd_and_even_functions_notes.pdf
Handouts given in class:
c12_absolute_value_function_notes.pdf
c12_odd_and_even_functions_notes.pdf
January 23: Basic Relations continued, NPVs and restrictions, Equations of a line
No handouts given in class
To do:
1. Textbook: read carefully p 2-5 and p 12-14
2. Answers as many questions as you can: textbook p 9 #9-12. #13-16, #17-10, #21-24, #27-30
3. E-mail me if you find any of the assigned questions challenging.
No handouts given in class
To do:
1. Textbook: read carefully p 2-5 and p 12-14
2. Answers as many questions as you can: textbook p 9 #9-12. #13-16, #17-10, #21-24, #27-30
3. E-mail me if you find any of the assigned questions challenging.
January 22: Welcome in Calculus 12 - course expectations, basic relations review
Handouts given in class:
c12_basic_relations_booklet.pdf
c12_course_outline.pdf
c12_continuous_relations_review.pdf
To do:
1. Think about the cellphone policy options and which one will best suit your needs.
2. Read the course outline, answer all questions, sign it and and have your parent/guardian sign it. This is mandatory, due for marks on Friday, January 26.
3. Complete the Continuous Relation Worksheet and check your answers here: c12_continuous_relations_worksheet_answers.pdf
Handouts given in class:
c12_basic_relations_booklet.pdf
c12_course_outline.pdf
c12_continuous_relations_review.pdf
To do:
1. Think about the cellphone policy options and which one will best suit your needs.
2. Read the course outline, answer all questions, sign it and and have your parent/guardian sign it. This is mandatory, due for marks on Friday, January 26.
3. Complete the Continuous Relation Worksheet and check your answers here: c12_continuous_relations_worksheet_answers.pdf