Homework For Mr Santowski's HL Math Class
The MAIN point to HW in this class is to practice HOW to do Math, so it has a SKILLS focus!! The MAIN point to the LESSONS is to see WHY we do the Math & WHAT we can do with it, so Lessons have an APPLICATION and PROBLEM SOLVING focus
ASSIGNED HOMEWORK |
To PRACTICE skills & concepts from Lesson 99 Assigned on Sunday, Mar 20 Due: Tuesday, Mar 22 Here are some video links re-emphasizing the idea of cumulative distribution functions: (1) VIDEO LINK #1 from David Waldo (2) VIDEO LINK #2 from MrNichollTV And here are some video links for introducing the normal distribution (3) VIDEO LINK #3 from jbstatistics (4) VIDEO LINK #4 from how2stats |
To PRACTICE skills & concepts from Lesson 99 Assigned on Tuesday, Mar 15 Due: Sunday, Mar 20 From the OXFORD textbook, Exercise 10L on p525, work through Q1-3 and from Exercise 10J on p527, work through Q1-5 To LEARN how to find the mean, median and variance of CRV distributions, watch the following video: |
To PRACTICE skills & concepts from Lesson 98 Assigned on Sunday, Mar 13 Due: Tuesday, Mar 15 From Cirrito, Exercise 16.5 on 553-5, work through some of Q1-10 To REVIEW the idea of the Poisson distribution, watch the following video: For further viewing/understanding, here are some other stat videos by jbstatistics: Connecting the Poisson and Binomial Distributions And a summary of different Discrete Random Variable distributions: |
To PRACTICE skills & concepts from Lesson 97 Assigned on Sunday, Mar 6 Due: Tuesday, Mar 8 From Cirrito, Exercise 16.3 on 534-36, work through some of Q1-14 To REVIEW the idea of the binomial distribution, watch the following video: |
To PRACTICE skills & concepts from Lesson 96 Assigned on Wednesday, Mar 2 Due: Sunday, Mar 6 From Cirrito, Exercise 16.2 on 526-28, try some/all from Q1-10 To REVIEW the idea of Discrete Random Variables, watch the following video: |
To PRACTICE skills & concepts from Lesson 95 Assigned on Monday, Feb 29 Due: Wednesday, Mar 2 From Cirrito, Exercise 16.1 on 519-20, Q5,6,7,8,9,11,12 To practice a bit with Expected Value, work through some of these questions To REVIEW the idea of Discrete Random Variables, watch the following video: |
To REVIEW and CONSOLIDATE skills & concepts from Lesson 94 on Probability as well as our REVIEW of Standard Deviation & Variance Assigned on Thursday, Feb 25 Due: Monday, Feb 29 Probability Review: From Oxford text, Chapter 6 Review starting on page 334, do some/all ..... For Standard Deviation & Variance, from Oxford text, Exercise 6D, p297, Q1-6
For Standard Deviation & Variance, from Cirrito, Exercise 13.4 on p467, do some/any from Q1-3 and be able to do any from Exercise 13.6 on p473-6, Q1-13 |
To PRACTICE with skills & concepts from Lesson 93 on Bayes' Theorem: Assigned on Tuesday, Feb 23 Due: Thursday, Feb 25 From Cirrito, Exercise 15.4 on p508-9, do some/any from Q1-10 To REVIEW our work with Bayes' Theorem, watch these videos: |
To CONTINUE WITH PRACTICING with skills & concepts from our REVIEW lesson on Basics of Probability in Lesson 92: Assigned on Sunday, Feb 21 Due: Tuesday, Feb 23 SAME HW POSTING AS LAST TIME: do different problems from the same Exercises & watch the Bayes Theorem Videos embedded below. To see to what extent you understand and can apply Bayes theorem, answer me these questions three. From Cirrito, 3rd ed, you should be able to rework (recall you were asked to look at these over the summer) these questions from: (1) Exercise 15.2 on pages 496-8 (2) Exercise 15.3 on pages 503-5 (conditional probability) (3) Exercise 15.5 on pages 511-3 (probability with permutations & conbinations) If you want some NEW exercises, use the Oxford textbook: (1) Exercise 6J on p 315 as well as Exercise 6K on p320 as well as Exercise 6L on p325 To PREVIEW our work with Bayes' Theorem, watch these videos: |
To PRACTICE with skills & concepts from our REVIEW lesson on Basics of Probability: Assigned on Thursday, Feb 11 Due: Sunday, Feb 21 From Cirrito, 3rd ed, you should be able to rework (recall you were asked to look at these over the summer) these questions from: (1) Exercise 15.2 on pages 496-8 (2) Exercise 15.3 on pages 503-5 (conditional probability) (3) Exercise 15.5 on pages 511-3 (probability with permutations & conbinations) If you want some NEW exercises, use the Oxford textbook: (1) Exercise 6J on p 315 as well as Exercise 6K on p320 as well as Exercise 6L on p325 To PREVIEW our work with Bayes' Theorem, watch these videos: |
To PRACTICE with skills & concepts from our second lesson on Equations of Planes: Assigned on Wednesday, Feb 3 Due: Sunday, Feb 7 From Cirrito, 3rd ed, work through Exercise 27.3.2 on page 984, any from Q1,2,3,4 & from Exercise 27.3.3 on page 986, Q1,2,3 To see a development of the formula used to determine the distance between a point and a plane, watch this video from Mathispower4u |
To PRACTICE with skills & concepts from our lesson on Equations of Planes: Assigned on Monday, Feb 1 Due: Wednesday, Feb 3 From Cirrito, 3rd ed, work through Exercise 27.2.1 on page 974, any from Q1,3 & from Exercise 27.2.2 on page 978, Q1,3,6,8,9 To REVIEW Lesson 88 on Equations of Planes, watch the following video: |
To PRACTICE with skills & concepts from our lesson on Vectors Cross Product: Assigned on Tuesday, Jan 26 Due: Monday, Feb 1 From Cirrito, 3rd ed, work through Exercise 27.1.1 on page 963, any from Q1,3,4 & from Exercise 27.1.2 on page 967, Q1,5,6,8,11 & from Exercise 27.1.3 on page 970, Q1,2,3,7,9 To PREVIEW Lesson 88 on Equations of Planes, watch the following video: |
To PRACTICE with skills & concepts from our lesson on Vectors Equations of Lines from Lesson 84 & 85: Assigned on Thursday, Jan 21 Due: Tuesday, Jan 26 From Cirrito, 3rd ed, work through Exercise 26.7.2 on page 958-61, any from Q5,12,13ac,14b,15-19,21,22 From Oxford, Exercise 11S, page 616, Q1,2,3 |
To PRACTICE with skills & concepts from our lesson on Algebraic Vectors from Lesson 83: Assigned on Wednesday, Jan 13 Due: Sunday, Jan 15 From Cirrito, 3rd ed, work through Exercise 26.6 on page 940-2, any from Q9,10,12,13,19,20,22,23,25 |
To PRACTICE with skills & concepts from our lesson on Algebraic Vectors from Lesson 83: Assigned on Wednesday, Jan 13 Due: Sunday, Jan 15 From Cirrito, 3rd ed, work through Exercise 26.4 on page 927-928, any from Q1,3,7,9,10 From Cirrito, 3rd ed, work through Exercise 26.5 on page 931, any from Q2,4,6 From the Oxford Textbook, work through Exercise 11F on page 573 and do Q7 |
To PRACTICE with skills & concepts from our lesson on Geometric Vectors from Lesson 82: Assigned on Monday, Jan 11 Due: Wednesday, Jan 13 From Cirrito, 3rd ed, work through Exercise 26.3 on page 921-923, any from Q3,4,5,7,8,13,14,15,16 |
To PRACTICE with skills & concepts from our lesson on Mathematical Induction: Assigned on Tuesday, Dec 1 Due: Thursday, Dec 3 From Cirrito, 3rd ed, work through Exercise 12.3 on page 435, any from Q1 Alternatively, from this lesson worksheet, work through some questions from each "type" (divisibility (pg 4), identities (pg3), inequalities (pg4)) If necessary, please watch these Proof by Induction videos to understand the technique and the thinking processes: EXAMPLE #1 from GVSUmath EXAMPLE #2 from leavingcert EXAMPLE #3 from John Kinny-Lewis EXAMPLE #4 also from John Kinny-Lewis |
To REVIEW concepts from our lessons on Complex Numbers: Assigned on Tuesday, Nov 24 Due: Sunday, Nov 29 From Cirrito, 3rd ed, work through Exercise 12.1 on page 430, any from Q1 as well as from Exercise 12.2. likewise, any from Q1 If necessary, please watch these Proof by Induction videos to understand the technique and the thinking processes: EXAMPLE #1 from Patrickjmt EXAMPLE #2 from Patrickjmt EXAMPLE #3 for divisibility from MasterWuMathematics |
To REVIEW concepts from our lessons on Complex Numbers: Assigned on Tuesday, Nov 24 Due: Sunday, Nov 29 From Cirrito, 3rd ed, work through any previously assigned Cirrito questions from Chapters 11.1 - 11.4.3. If you get stuck and want to see a solution, post a message on our facebook page. I have posted some review Qs on our facebook page as well Please PREVIEW the idea of Proof by Induction by watching one of the following videos: |
To REVIEW concepts from Lesson 78 on Polar Form of Complex Numbers: Assigned on Sunday, Nov 22 Due: Tuesday, Nov 24 From Cirrito, 3rd ed, Chap 11.1 on p389-91, do some from Q23,26,28 From Cirrito, 3rd ed, Chap 11.3 on p410-12, do some from Q4,5,6,8,9,11-14 |
To REVIEW concepts from Lesson 77 on Geometric Representation of Complex Numbers: Assigned on Wednesday, Nov 18 Due: Sunday, Nov 22 From Cirrito, 3rd ed, Chap 11.1 on p389-91, do some from Q22,26. For extensions, try/look at Q23 & 28 (which we will discuss/derive in class) From Cirrito, 3rd ed, Chap 11.2 on p400-2, do some from Q4-7,12-16. For extensions, try/look at Q17-20 (which we will discuss in class) |
To REVIEW concepts from Lesson 76 on Introduction to Complex Numbers: Assigned on Monday, Nov 16 Due: Wednesday, Nov 18 From Cirrito, 3rd ed, Chap 11.1 on p389-91, do some from Q5,6,7,10,12,13,14,17,19,20 on working with Complex Numbers From Cirrito, 3rd ed, Chap 11.4.2 on p417-18, do some from Q3,4,5,7,10,13,15 on Polynomial Equations |
To REVIEW concepts from Lesson 75 on More Work with Taylor and Maclaurin Series: Assigned on Thursday, Nov 12 Due: Monday, Nov 16 Work through questions from Oxford, Chap 5H on Binomial Series and Chap 5G on Lagrange Error Bounds (from Class Handout). Answers posted soon Read the following CHILDREN's book/story about Betty & John!!!! Here are a couple of videos to preview the idea of the Complex Numbers: |
To PREVIEW concepts for Lesson 75 on More Work with Taylor and Maclaurin Series: Assigned on Tuesday, Nov 10 Due: Thursday, Nov 12 Here are a couple of videos to introduce the idea of the LaGrange Error Bound on Taylor Polynomials: AND one more: AND HERE IS ONE FOR THE BINOMIAL SERIES, which we will aslo discuss next lesson |
To PRACTICE concepts from Lesson 74 on Taylor and Maclaurin Series: Assigned on Wednesday, Nov 4 Due: Sunday, Nov 8 You should also practice Taylor Series: From the Cirrito Calculus Options textbook, Exercise 4.1 on page 131, try some from Q4,5,7 Here area couple of videos from mathispower4u to review our intro to Taylor Series: |
To PRACTICE concepts from Lesson 73 on Representing Power Series as Functions: Assigned on Monday, Nov 2 Due: Wednesday, Nov 4 From the Cirrito Calculus Options textbook, Exercise 3.4 on page 110, try some from Q4-8,10,12 You should also practice Taylor Series: From the Cirrito Calculus Options textbook, Exercise 4.1 on page 131, try one or two from Q1,2,3 Here area couple of videos from mathispower4u to review our intro to Taylor Series: |
To PRACTICE concepts from Lesson 73 on Representing Power Series as Functions: Assigned on Thursday, Oct 29 Due: Monday, Nov 2 To REVIEW (or RELEARN) with some videos:
And here are two links to online practice problems: (1) Link #1 (on pages 1,2,3) (2)Link #2 (on page 4, do Q2,3,4 |
To PRACTICE concepts from Lesson 72 on Power Series: Assigned on Tuesday, Oct 27 Due: Thursday, Oct 29 From the Cirrito Calculus Options textbook, Exercise 3.3 on page 100, try some from Q3,4,6,11,13,14 |
To PRACTICE concepts from Lesson 71 on Truncation Errors & Testing Series: Assigned on Sunday, Oct 25 Due: Tuesday, Oct 27 From the Cirrito Calculus Options textbook, Exercise 3.1 on page 86, try Q1b,2b,3,4b From the Stewart Calculus book, from Chapter 12.7 on page 758, work through some/any from Q1-20 |
To PRACTICE concepts from Lesson 70 on Alternating Series & Absolute Convergences: Assigned on Tuesday, Oct 20 Due: Sunday, Oct 25 From the Cirrito Calculus Options textbook, Exercise 3.1 on page 86, try Q1a,2a,4a,5,6 and from Exercise 3.2 on page 87-88, Q1-5,10,11 |
To PRACTICE concepts from Lesson 68 & 69 on Testing Convergences of Infinite Series: Assigned on Sunday, Oct 18 Due: Tuesday, Oct 20 From the Cirrito Calculus Options textbook, Exercise 2.1 on page 69-70, try some from Q6-9 & then try most of 10-16 From the Oxford Calculus Options textbook, Exercise 4D, 4F, 4G, 4H on pages 114 - 120, try some from each section for specific methods |
To PRACTICE concepts from Lesson 66 on Improper Integrals and from Lesson 67 on Infinite Series: Assigned on Sunday, Oct 11 Due: Tuesday, Oct 13 For Lesson 66: From the Cirrito Calculus Options textbook, Exercise 1.4 on page 47-8, try some from Q17-24 For Lesson 67: from the Oxford Calculus Options textbook, Exercise 4A on page 103, try some from Q1,2,3 |
To PRACTICE concepts from Lesson 66 on Improper Integrals: Assigned on Wednesday, Sept 30 Due: Sunday, Oct 11 From the Cirrito Calculus Options textbook, Exercise 1.4 on page 47-8, try some from Q2,3,4c,7,11,17bc,18,19,20 |
To PRACTICE concepts from Lesson 66 on Improper Integrals: Assigned on Monday, Sept 28 Due: Wednesday, Sep 30 From the Cirrito Calculus Options textbook, Exercise 1.4 on page 47-8, try some from Q1def,2c,4ab,8b,9b,10,18,19,20 |
To CONTINUE PRACTICING concepts from Lesson 65 on Infinite Sequences: Assigned on Tuesday, Sept 15 Due: Thursday, Sep 17 From the Cirrito Calculus Options textbook, Exercise 1.2.1 on page 10, try some from Q1,2,3,4 & 8 From the Cirrito Calculus Options textbook, Exercise 1.2.2 on page 17, try some from Q2 From the Cirrito Calculus Options textbook, Exercise 1.2.3 on page 21, try some from Q1,2,3 To PREVIEW concepts related to Infinite Sequences, watch the following three videos from Patrick JMT: VIDEO #1 on What is a Sequence, VIDEO #2 on Convergence & Divergence and VIDEO #3 on Finding Limits |
To PRACTICE concepts from Lesson 65 on Infinite Sequences: Assigned on Sunday, Sept 13 Due: Tuesday, Sep 15 To practice with Infinite Sequences, from the Cirrito Calculus Options textbook, Exercise 1.1.1 on pages 5 & 6, try some from Q1,2,5,6,7,10,11 and then graph sequences from Exercise 1.1.2 on p7, Q1. The Cirrito textbook Chapter 1 is now in our google drive folder To practice with L'Hopital's Rule: Questions from Oxford Chapter 2, page 45, Q1,2,3 To PREVIEW concepts related to Infinite Sequences, watch the following three videos from Patrick JMT: VIDEO #1 on What is a Sequence, VIDEO #2 on Convergence & Divergence and VIDEO #3 on Finding Limits |
To PRACTICE concepts from our last two lessons, work through: Assigned on Wednesday, Sept 9 Due: Sunday, Sep 13 To practice with IVT & RT & MVT, from the Oxford Calculus Options textbook, Exercise 2C on page 40 try Q1-6. Oxford Chapter 2 is now in our google drive folder To practice with L'Hopital's Rule, here is a work sheet. Questions from Oxford Chapter 2, page 45, Q1,2,3 If you need to Review L'Hopital's Rule, watch the following three videos from Patrick JMT: VIDEO #1 on Indeterminate Quotients, VIDEO #2 on Indeterminate Products and VIDEO #3 on Indeterminate Powers |
To PRACTICE and PREVIEW: Assigned on Monday, Sept 7 Due: Wednesday, Sep 9 We will work a bit more in class with IVT & RT & MVT, so to start, from the Oxford Calculus Options textbook, Exercise 2C on page 40 try Q1,2.Q3 is linked here To PREVIEW our lesson on L'Hopital's Rule, watch the following three videos from Patrick JMT: VIDEO #1 on Indeterminate Quotients, VIDEO #2 on Indeterminate Products and VIDEO #3 on Indeterminate Powers |
To PRACTICE from our lesson on Euler's Method: Assigned on Tuesday, Sept 1 Due: Thursday, Sep 3 Work from the Oxford Calculus Options textbook on Exercise 3H on page 90 on Q1,2,4,5,8 (HINT: do one or two calculations by hand, but use EXCEL - or an online program - to do further iterations with Euler's method LINK #1 for Spreadsheet instructions VIDEO LINK #2 for Spreadsheet instructions |
To PRACTICE from our lesson on Linear DEs: Assigned on Sunday, Aug 30 Due: Tuesday, Sep 1 Work from the Oxford Calculus Options textbook on Exercise 3E on page 75 on Q1,2,4 & 5 if you wish YOU MUST WATCH THE FOLLOWING VIDEO to PREVIEW Euler's Method from MathLeagueofAmerica |
To PRACTICE from our lesson on Homogeneous DEs: Assigned on Wednesday, Aug 26 Due: Sunday, Aug 30 Work from the Oxford Calculus Options textbook on Exercise 3G on page 82 on Q5,6,8 Work in the Cirrito Calculus Options textbook on Exercise 5.4.1 on page 158 on Q5-8 To PREVIEW LINEAR Diff Eqns, watch the following videos & take notes/record examples (if you wish): Video #1 on Solving a Linear First Order Differential Equation from Mathispower4u Video #2 on First Order Linear Differential Equation from PatrickJMT |
To PREPARE for our next lesson on Homogeneous DEs: Assigned on Monday, Aug 24 Due: Wednesday, Aug 26 Watch the following videos & take notes/record examples (if you wish): Video #1 on Solving a First-Order Homogeneous Differential Equation - Part 1 from Mathispower4u Video #2 on Solving a First-Order Homogeneous Differential Equation - Part 2 from Mathispower4u Video #3 on Change of Variables / Homogeneous Differential Equation - Example 1 from PatrickJMT |
To REVIEW concepts & skills from Diff Eqns and from the Summer Work Assigned on Thursday, Aug 20 Due: Monday, Aug 24 For Diff Dqns, from the Cirrito text, Exercise 24.2 on page 863, Q5-11 are fairly easy and Q12-15 are a bit more challenging For Combinations/Permutations , Counting Principal & Probability, from the Cirrito text, Exercise 15.5 on page 511-12, Q1-16. Do either odds or evens I have also posted a few IB style stats & prob questions on our Facebook page |
To PRACTICE ideas and concepts from Lesson 56 Assigned on Sunday, May 31 Due: Tuesday, June 1 From the Cirrito text, Exercise 24.2 on page 863, Q5-11 are fairly easy and Q12-15 are a bit more challenging From the Cirrito text, Exercise 24.3 on page 870, Q1-5 are fairly easy and Q11,12 are a bit more challenging |
To PRACTICE ideas and concepts from Lesson 55 Assigned on Monday, May 25 Due: Wednesday, May 27 From the Cirrito text, Exercise 24.1 on page 855, Q1,2 are fairly easy and Q3-9 are a bit more challenging From the Cirrito text, Exercise 24.2 on page 863, Q1,2 From the Cirrito text, Exercise 24.3 on page 870, Q1-5 are fairly easy and Q11,12 are a bit more challenging |
To PRACTICE and/or REVIEW for Lesson 54 Assigned on Thursday, May 21 Due: Monday, May 25 FOR PRACTICE: Here is a worksheet with some simple questions and some applications dealings with FTC Part 2 FOR REVIEW: Here are three videos that will help you make sense of the Fundamental Theorem of Calculus, PART 2. VIDEO #1 from PatrickJMT shows you HOW to work with FTC, Part 2 VIDEO #2 and VIDEO #3 from Derek Owens show you the WHY behind the HOW! |
To PREPARE for Lesson 54 Assigned on Wednesday, May 20 Due: Thursday, May 21 Here are three videos that will help you make sense of the Fundamental Theorem of Calculus, PART 2. VIDEO #1 from PatrickJMT shows you HOW to work with FTC, Part 2 VIDEO #2 and VIDEO #3 from Derek Owens show you the WHY behind the HOW! |
To CONTINUE PRACTICING with Lesson 52 - Integration by Substitution: Assigned on Monday, May 11 Due: Wednesday, May 13 From Cirrito 3rd ed, Exercise 23.1.2 on page 846-848, try some from Q3,4,5 for Definite Integrals (try Q3h,4hi,5f for challenge) then move to trying some from Q6,7 (see worked examples in text), then Q8,9,10,12 for challenge. |
To PRACTICING with Lesson 52 - Integration by Substitution: Assigned on Thursday, May 7 Due: Monday, May 11 From Cirrito 3rd ed, Exercise 23.1.1 on page 838-840, try some from Q1,2,3 for Indefinite Integrals and antiderivatives and then try some from 6 for Definite Integrals. |
To CONTINUE PRACTICING with Lesson 51 - Volumes of Revolution: Assigned on Sunday, May 3 Due: Tuesday, May 5 From Cirrito 3rd ed, Exercise 22.8 on page 830, try some from Q2-8 and you could try some "enclosed" areas from Q13-17 and you could try Q18,20 for a challenge. |
To CONTINUE PRACTICING with Definite Integrals and Area from Lesson 49: Assigned on Wednesday, Apr 29 Due: Sunday, May 3 Investigate the concept of Volumes of Revolution using these geogebra animations Link #1 ==> https://tube.geogebra.org/student/b74401#material/18475 Link #1a ==> http://tube.geogebra.org/student/m18290 |
To CONTINUE PRACTICING with Definite Integrals and Area from Lesson 49: Assigned on Monday, Apr 27 Due: Wednesday, Apr 29 From Cirrito 3rd ed, Exercise 22.5 on page 808-10, Q10-16 and you could try some "enclosed" areas from Q18,19,20. Here are two links to other styles & types of exercises that relate to the Definite Integrals: Worksheet #1 and here is Worksheet #2 (some AP Calculus MC style questions) |
To PRACTICE with Definite Integrals and Area from Lesson 48: Assigned on Thursday, Apr 23 Due: Monday, Apr 27 From Cirrito 3rd ed, Exercise 22.5 on page 808-10, Q1-5 cover definite integrals with basic functions & Q7,10,12,13,16 are a bit more challenging. Here are two links to other styles & types of exercises that relate to the Definite Integrals: Worksheet #1 and here is Worksheet #2 (some AP Calculus MC style questions) |
To PRACTICE with Approximating Areas under Curves using Sums & Limits from Lesson 47: Assigned on Tuesday, Apr 21 Due: Thursday, Apr 23 From the Stewart Calculus textbook, Chapter 10.4, work through some questions from Q3 & Q4 |
To PRACTICE with Riemann Sums and Approximating Areas under Curves from Lesson 46: Assigned on Sunday, Apr 19 Due: Tuesday, Apr 21 From the following worksheet, practice with the three types of questions (bases upon an equation, a graph or a data set) Watch the following video to PREVIEW Tuesday's lesson: |
To PRACTICE with Indefinite Integrals from Lesson 45: Assigned on Wednesday, Apr 15 Due: Sunday, Apr 19 If you need work on the BASICS from today's lesson, try: (a) From Cirrito, 3rd ed, Exercise 22.1, p777 has BASIC, SIMPLE integrals, so, try a few from Q3-6 (b) From Cirrito, 3rd ed, Exercise 22.2, p779 has SIMPLE Applications, so, try a few from Q1,2 and then a few from Q3-15 If you feel you understand integrals & simple integration, spend most of your HW time in Exercise 22.3 on p 786 and work through exercises from Q1-7 and then a few word problems from Q8-16 TO PREVIEW Lesson 46, you MUST play with the following animation/applet and you must be able to explain what is going on!! |
To FINALIZE YOUR PRACTICE with Optimization Questions from Lesson 44: Assigned on Sunday, Mar 29 Due: Tuesday, Mar 31 Continue with questions from Cirrito, 3rd ed, Exercise 21.5 has over 50 questions!!!! So, try Q7,11,13,25,26,27,28,29,31,38,40 As posted before, here are links to problems BUT they also show solutions/explanations => here is a worksheet with practice questions on page 1 & 2. Solutions are also presented on the following pages. Additional problems with excellent explanations are offered through Paul Dawkins website - Example Set #1 (easier problems) and Example Set #2 (harder problems) |
To PRACTICE with Optimization Questions from Lesson 44: Assigned on Wednesday, Mar 25 Due: Sunday, Mar 29 If you need to, rewatch any videos from last HW assignment From Cirrito, 3rd ed, Exercise 21.5 has over 50 questions!!!! Try some wherein the equation is already provided (Q1-6,8,12,18,23,26,27 for example) As posted before, here are links to problems BUT they also show solutions/explanations => here is a worksheet with practice questions on page 1 & 2. Solutions are also presented on the following pages. Additional problems with excellent explanations are offered through Paul Dawkins website - Example Set #1 (easier problems) and Example Set #2 (harder problems) |
You have two components to your HW for Lesson 43: Assigned on Monday, Mar 23 Due: Wednesday, Mar 25 PART 1: To PRACTICE with Lesson 43 on Applications of Derivatives - Motion From Cirrito 3rd ed, Exercise 21.3 on page 724, work through polynomial-based questions like Q7,10 for a BASIC understanding and then work through some questions working with the same concept, but using non-polynomial based equations, like Q8,9,12 PART 2: To PREPARE for Lesson 44 on Optimization: As you watch some of these videos, record the solution that is presented in these examples. Make sure you understand the process OR write down questions/problems/concerns that you may have about the process & the concepts: VIDEO #1 from Scott Anderson; VIDEO #2 from Coachreudog; VIDEO #3 from Randy Thomas Here is a worksheet with practice questions on page 1 & 2. Solutions are also presented on the following pages. Additional problems with excellent explanations are offered through Paul Dawkins website - Example Set #1 (easier problems) and Example Set #2 (harder problems) |
To PREPARE for Lesson 43 on Applications of Derivatives - Motion Assigned on Tuesday, Mar 17 Due: Monday, Mar 23 As you watch some/all of these videos, record the solution that is presented in these examples. Make sure you understand the process OR write down questions/problems/concerns that you may have about the process & the concepts (1)This excellent BASIC INTRO video is from integralCALC: Video #1 - All about a particle's position function; (2) Another BASIC INTRO video from MySecretMathTutor: Video #2 - Calculus - Working with position, velocity, and acceleration (3) Another intro video from Scott Kennedy: Video #3 - AP Calculus: Rectilinear Motions with Derivatives This video shows a GRAPHICAL investigation of motion from MySecretMathTutor: (1) Video #1 - Calculus - Reading velocity and position from the graph Here is a worksheet with practice questions on page 1. Solutions are also presented on the following pages. |
To PRACTICE Lesson 42 on Related Rates Assigned on Sunday, Mar 15 Due: Tuesday, Mar 17 Submit your Exploration Topic - either hand in a topic that you are interested in researching OR hand in a brainstorming map showing ideas that you may wish to consider researching for your Exploration Topic From Stewart, Chapter 3.8 on Related Rates. Examples are on page 183-186. Do questions 2b-6,11,13,14,19,20,22,28-38 are all basically 2D problems. Post solutions on facebook please. One solution per contributor please!! Here is a worksheet with practice questions on pages 1 & 2. Solutions are also presented on the following pages. |
To PREPARE for Lesson 42 on Related Rates Assigned on Tuesday, Mar 10 Due: Sunday, Mar 15 Submit your Exploration Topic - either hand in a topic that you are interested in researching OR hand in a brainstorming map showing ideas that you may wish to consider researching for your Exploration Topic As you watch some/all of these videos, record the solution that is presented in these examples. Make sure you understand the process OR write down questions/problems/concerns that you may have about the process & the concepts These videos are from Mathispower4u: (1) Video #1 - Volume of a Melting Snowball; (2) Video #2 - Right Circular Cone; (3) Video #3 - Area of Triangle These videos are from Patrickjmt: (1) Video #1 - Ladder Sliding Down Wall, Finding Rate of Change of Area Under Ladder (2) Video #2 - Rate at Which the Circumference of a Circle is Changing Here is a worksheet with practice questions on pages 1 & 2. Solutions are also presented on the following pages. |
To PREPARE for Lesson 41 on Graphical Differentiation Assigned on Sunday, Mar 8 Due: Tuesday, Mar 10 Watch VIDEO #1 from PatrickJMT on Sketching the Derivative of a Function Watch VIDEO #2 also from PatrickJMT on Sketching the Function from its Derivative Watch VIDEO #3 also from PatrickJMT on Sketching the Function from its Derivative To practice with curve sketching: Try the BIG Derivative Puzzle from Maths OnLine Try sketching a derivative, given a function from this link to the GeoGebra Calculus Applets project Try sketching a function, given a sketch of its derivative from this link to the GeoGebra Calculus Applets project |
After Lesson 40 on Further Derivatives of Trig Functions Assigned on Wednesday, Mar 4 Due: Sunday, Mar 8 To practice with Trig Differentiation of Inverse Trig Fcns: From the Stewart text, Chap 7.6: p339, Q1 deals with taking derivatives, Q2-6 deal with tangent lines & deal with curve analysis. Do some of each I have posted 2 Explorations on our Facebook page. Print, read & grade these two Explorations using the IB rubric for Sunday's class & be prepared to participate in a discussion about these 2 Explorations & their grades for Sunday's class Here is a link to an online derivative calculator. Try it out to verify your work or help you get unstuck and let me know what you think about it |
After Lesson 39 on Derivatives of Trig Functions Assigned on Monday, Mar 2 Due: Wednesday, Mar 4 To practice with Trig Differentiation: From the Stewart text, Chap 7.2 (sin & cos derivatives): p313-5, Q1 deals with taking derivatives, Q2 deals with implicit differentiation, Q3 deals with tangent lines & Q4,5 deal with curve analysis. Do some of each From the Stewart text, Chap 7.3 (other trig derivatives): p319-20, Q1 deals with taking derivatives, Q2 deals with implicit differentiation, Q3 deals with tangent lines & Q6,7 deal with curve analysis. Do some of each Here is a link to an online derivative calculator. Try it out to verify your work or help you get unstuck and let me know what you think about it |
After Lesson 38 on Implicit Differentiation Assigned on Tuesday, Feb 17 Due: Tuesday, Mar 2 To practice with Implicit Differentiation: From the Stewart text, Chap 2.7: p107-8, Q1,2,3 are basic practice & Q9,10,11 are extending your knowledge From Cirrito, you can practice with Implicit Differentiation from: p656, Exercise 19.7.1, Q1 (basic), 3,5,6,7,10 |
After Lesson 37 on Second Derivatives, Concavities & Inflection Points Assigned on Thursday, Feb 12 Due: Tuesday, Feb 17 From Cirrito, you can practice with Extrema & First & Second Derivatives from: p690, Exercise 20.2, Q1,2,4,9,10,11,15,16,21,23,28 p700, Exercise 20.3, Q1,2,6,8 (base e),9 (natural logs), 14,15 To practice with Second Derivative Test & Concavities and Extrema: From the Stewart text, Chap 5.4: p232, Q1 is basic practice & Q2,3 are extending your knowledge |
After Lesson 36 on Chain Rule Assigned on Tuesday, Feb 10 Due: Thursday, Feb 12 To practice with Chain Rule: From the Stewart text, Chap 2.6: p102-3, Q1,6 are basic practice & Q7-10 are extending your knowledge |
After Lesson 35 on Product Rule Assigned on Sunday, Feb 8 Due: Tuesday, Feb 10 To practice with Product Rule: From the Stewart text, Chap 2.4: p92, Q1-4 are basic practice & Q7-10 are extending your knowledge To practice with Quotient Rule: From the Stewart text, Chap 2.5: p94/5, Q1-3 are basic practice & Q4-9 are extending your knowledge And from Ms A, some AP Practice Questions |
After Lesson 34 on Polynomial Function Analysis using Derivatives - Extremas & Intervals of Increase & Decrease Assigned on Wednesday, Feb 4 Due: Sunday, Feb 8 To practice with Extrema & Intervals of Increase & Decrease: From the Stewart text, Chap 4.1: p170, Q2ace,3bc,4bcd From the Stewart text, Chap 4.2: p176, Q1,3abcde,4adef,7 From the Stewart text, Chap 4.3: p182, Q2bcde,5,6 for Video Help with Relative Extrema: |
After Lesson 34 on Polynomial Function Analysis using Derivatives - Tangent Lines & Normals Assigned on Monday, Feb 2 Due: Wednesday, Feb 4 To practice with Tangents and Normals: From the Cirrito text, Section 20.1 on page 669, Q1abg,2,5,6,9,12,15 for Video Help: And the first 5-6 minutes of this one |
After Lesson 33 on Power Rule: Assigned on Thursday, Jan 29 Due: Monday, Feb 2 To practice with Rates of Change & and Instantaneous Rates of Change from Lesson 31: From the Cirrito text, Section 19.1 on page 612, any from Q1,3 & Q4 Practice with some of these simple questions on page 1 and try some more application oriented questions from this worksheet. You should use Wolframalpha to check your answers. |
After Lesson 31 on Rates of Changes and Limits & Lesson 32 on Continuities: Assigned on Tuesday, Jan 27 Due: Thursday, Jan 29 To practice with Rates of Change & and Instantaneous Rates of Change from Lesson 31: From the Cirrito text, Section 18.4 on page 604, Q1acf,4acef,5,6 To practice with the ideas of Limits & Continuities: your Oxford textbook, Exercise 4A, p170, Q1-6; Exercise 4B, p173, Q2-5; Exercise 4C, p178, any from Q1,2,3 To practice with the ideas of Limits & Continuities, practice some of the AP questions from this package (starting on page 8) or practice some questions from this second package |
After Lesson 31 on Limits: Assigned on Thursday, Jan 22 Due: Tuesday, Jan 27 Here are some links to worksheets & answers for exercises related to algebraically calculating limits Worksheet #1 ==> do Q3 (any of the lower case letters (a) through (p)) Worksheet #2 ==> any from Q1 - 12. For Q13 - 28, try to work through it without graphing Here is some reading & worked examples & explanations from this link to Paul Dawkin's class notes at Lamar U for Calculus 1 To help or review, here are some videos that you might find helpful, all from Patrickjmt |
After Lesson 30 on Rates of Change: Assigned on Sunday, Jan 18 Due: Tuesday, Jan 20 Here is a link to the page showing a diagram for the Pulley Questions from L29 HW For PRACTICE with calculating Average Rates of Change, do some problems from Q1-7 on p 590 from Exercise 18.1 in Cirrito & then Instantaneous Rates of Change, do some of Ex 18.3, p599-600, Q1,3,5,6. Here is a video reviewing the ideas of Instantaneous RoC |
After Lesson 29 on Sine Law: Ambiguous Case & Lesson 29 on Circle Geometry: Assigned on Wednesday, Jan 14 Due: Sunday, Jan 18 For PRACTICE with the Ambiguous Case of the Sine Law, work through Nelson 11, Chap 6.1 on Page 313, do some problems from Q5,6,8 For PRACTICE with arcs & sectors, from the Cirrito text, do some of Ex 9.7, p312-3, Q2-10 (Apps) & then do some of Ex 9.7, p314, Q12-16 (pulleys). |
After Lesson 28 on Triangle Trig: Assigned on Monday, Jan 12 Due: Wednesday, Jan 14 Your HW is to REVIEW your knowledge of working with Triangle Trig Applications (from the Christmas Break Assignment), so from the Cirrito text, be able to do: (a) Ex 9.5.6; p305-306, any from Q1-18 – Apps (b) Ex 9.6; p308, Q1-7 – 3D probs |
During Christmas Break: Assigned on Tuesday, Dec 16 Due: Sunday, Jan 11 You will need to REVIEW Triangle Trig over the Christmas Break. You have already seen/studied: (i) Right Triangle Trig (but some of the 3D applications may be new), (ii) Sine Law (although the work with the Ambiguous Case may be new), (iii) Cosine Law, (iv) Word/Geometry problems involving all three methods (again, the 3D applications may be new). You probably have not done much work with arcs and sectors. Please practice/do HW questions in accordance with your perceived need to practice/review/revise. Feel free to chat over our Facebook page (or email me), but be prepared for two lessons of review/practice, setting the stage for our FIRS TEST in SEM 2 in our second week back!! |
After Lesson 26 on Solving Quadratic Trigonometric Equations: Assigned on Sunday, Dec 7 Due: Monday, Dec 9 Your HW is to REVIEW your knowledge of graphing Transformed Trig Functions: From the Cirrito text, in Exercise 10.3 on p355-7, be able to do some/all/any from Q1-8 (could do Qa, Qc, Qe in each - do NOT use a calculator). From your Oxford Textbook, we will revisit Exercise 8F on p405-6, Q1,2cd,3d,4,5ab VIDEO HELP: VIDEO #1 from PatrickJMT - Parent Functions VIDEO #2 also from PatrickJMT - Period Change VIDEO #3 also from PatrickJMT - Period & Amplitude Change VIDEO #4 also from PatrickJMT - Phase Shifts VIDEO #5 also from PatrickJMT |
After Lesson 25 on Solving Trigonometric Equations (DAY 2): Assigned on Wednesday, Dec 3 Due: Sunday, Dec 7 From the Cirrito text, continue in Exercise 10.5 on p374-376, be able to do some/all/any from Q1def,2def,3def,4efgh,5ghimno,8,12. We are going to look at "Quadratic" trig equations next lesson. Have a look at Nelson 11 textbook, Chapter 6.6. Look at examples 3 & 4 & 5 on pages 542-544. You could try Q7,8,10ce,12,14 From your Oxford Textbook, we will revisit Exercise 8I on p414, Q1-9 together as a class on Sunday as well as the harder Cirrito text questions (Q16bc,17,18,19,20.) |
After Lesson 25 on Solving Trigonometric Equations: Assigned on Monday, Dec 1 Due: Wednesday, Dec 3 From the Cirrito text, try Exercise 10.5 on p374-376, be able to do some/all/any from Q1abc,2abc,3abc,5a-f,6a-f,7,9,13,14,and then the harder questions include Q16bc,17,18,19,20. From your Oxford Textbook, try Exercise 8I on p414, Q1-9 which are pretty difficult as well |
After Lesson 24 on Double Angle Trig Identities: Assigned on Wednesday, Nov 26 Due: Monday, Dec 1 From the Cirrito text, try Exercise 10.2.2 on p342-343, be able to do some/all/any from Q2,5,6,8,9,11ab,13,14,18.Same PROOFS RULE as before: try 2 or 3 proofs from Q9 and when you have a solution or attempted solution, post it on the facebook page. RULE: You should do only do proofs that no one else has yet attempted From your Oxford Textbook, try Exercise 8D on p400, Q1,2,3,4,5 |
After Lesson 23 on Compound Trig Identities: Assigned on Monday, Nov 24 Due: Wednesday, Nov 26 From the Cirrito text, try Exercise 10.2.2 on p342-343, do Q1,2,3,7,18 From your Oxford Textbook, try Exercise 8D on p400, Q1,2,3,4,5 |
After Lesson 22 on Trig Identities: Assigned on Thursday, Nov 20 Due: Monday, Nov 24 Just so you know ==> Answer #1 and Answer #2 From the Cirrito text, try Exercise 10.2.1 on p331-332, we should be able to do ALL these questions!! So try 2 or 3 proofs from Q1,2 and when you have a solution or attempted solution, post it on the facebook page. RULE: You should do only do proofs that no one else has yet attempted Then do Q4 & then any from Q7-18, again posting your solutions (or attempts) To PREPARE for Monday's class, watch the following video on the sine addition identity/formula |
After Lesson 21 on Intro to Trig: Assigned on Tuesday, Nov 18 Due: Thursday, Nov 20 Just so you know ==> Answer #1 and Answer #2 From your Oxford Text, READ through pages 389 - 397 & look at their examples. Do they make sense? Write down what you don't understand and would like to discuss in class. Try Exercise 8B on page 392, Q1,2,3,4 (pretty tough question) and Exercise 8C on page 397, Q1,2 & 4 From the Cirrito text, start READING and looking at examples on pages 315 - 325 & look at their examples. Do they make sense? Write down what you don't understand and would like to discuss in class. Try Exercise 10.1 on p325, Q3-6 (do a few of each - but WITHOUT calculator) To help you out, if the examples & explanations form the text don't make sense, watch these videos (Record examples if that helps you): VIDEO #1 from PatrickJMT VIDEO #2 also from PatrickJMT VIDEO #3 from Colerain Math |
After UNIT 2 TEST: Assigned on Sunday, Nov 16 Due: Tuesday, Nov 18 Here is a blank copy of your UNIT TEST. Complete it again, using any LEGIT resources!! (i.e. no tutors, no calculators in the calc inactive parts, no DESMOS in the calc active part. This is your chance to look over the test in a non-pressure situation. Make it work for you!!! Review some/all/none of the following videos, take whatever notes you need to, but the basic ideas & facts presented in these videos are FOUNDATIONAL and actually, are also assumed prior knowledge!! (1) Angles in Standard Position: Video #1 from Mathispower4U Video #2 from HCCMathHelp The Unit Circle: PLEASE NOTE: I NEVER teach Unit Circle as I feel you only need to know 2 triangles & how to correctly work with them. However, to remind you about the angles, their locations & their ratios Video #1 from PatrickJMT Video #2 from Mathbff Connecting Angles in Std Position & Trig Fcns: Video #1 from MathisPower4u |
After Lesson 19 on Solving Exponential Equations Using Logarithms Assigned on Wednesday, Nov 12 Due: Tuesday, Nov 18 Like, obviously study for our TEST, but for after (or instead ...) HAHAHAH Preview the following videos, take whatever notes you need to, but the basic ideas & facts presented in these videos are FOUNDATIONAL and actually, are also assumed prior knowledge!! (1) Angles in Standard Position: Video #1 from Mathispower4U Video #2 from HCCMathHelp The Unit Circle: PLEASE NOTE: I NEVER teach Unit Circle as I feel you only need to know 2 triangles & how to correctly work with them. However, to remind you about the angles, their locations & their ratios Video #1 from PatrickJMT Video #2 from Mathbff Connecting Angles in Std Position & Trig Fcns: Video #1 from MathisPower4u |
After Lesson 19 on Solving Exponential Equations Using Logarithms Assigned on Monday, Nov 10 Due: Wednesday, Nov 12 From the Cirrito, 3rd ed. Textbook, Exercise 7.4 on p227-9, Working with the LAws (Q1,2,3,4,6) and then Solving Equations (anything from Q5,7,8,10,13) From the Cirrito 3rd ed. Textbook, Exercise 7.5 on p231, try some word problems like Q2,3,4 |
After Lesson 19 on Solving Exponential Equations Using Logarithms Assigned on Thursday, Nov 6 Due: Monday, Nov 10 From the Cirrito, 3rd ed. Textbook, Exercise 7.4 on p228-9, anything from Q9,11,14,15 & Q16a-f Go back to the Lesson 19 Notes ppt/pdf and work through these questions on Slide 14 ==> h, 55,57,59 Likewise, from the same Lesson Notes, try some of the word problems on any of the slides 15-27 If you wish to PREVIEW our next lesson on Laws of Logarithms, here are a couple of good videos: VIDEO #1 from Al Richards and then VIDEO #2 also from Al Richards FYI: Here's a History of Math video on Logarithms |
After Lesson 18 on Introduction to Logarithmic Functions Assigned on Tuesday, Nov 4 Due: Thursday, Nov 6 From the Cirrito, 3rd ed. Textbook, Exercise 7.3 on p220, anything from Q1,2,3,4,5 Follow this link to access a Practice Sheet from last year’s PreCal class. Work through Q1aef,2,3,6-10,11a,12a,14a If you wish to PREVIEW our next lesson on Solving Exponential Equations Using Logs, here are a couple of good videos: VIDEO #1 from PatrickJMT and then VIDEO #2 from DrPhilClark FYI: Here's a History of Math video on Logarithms |
After Lesson 17 on Applications of Exponential Functions - Working with Base e, Assigned on Sunday, Nov 2 Due: Tuesday, Nov 4 From the Cirrito, 3rd ed. Textbook, Exercise 7.2 on p212, Q5,7,9,13,15,16,17,18 The Oxford textbook has a few word problems in Exercise 5C on p242, Q1-4 You could also preview some videos on logarithms, our next topic |
After Lesson 16 on Algebra of Exponential Functions - Exponential Equations, Assigned on Wednesday, Oct 29 Due: Sunday, Nov 2 From the Cirrito, 3rd ed. Textbook, Exercise 7.1.2, pg 201, anything from Q1,2 as well as Exercise 7.1.3, p204, anything from Q1,2,3 as well as 7.1.4 on p206 anything from Q1,2 To look at some word problems, Cirrito Exercise 7.2 on p212, Q1,2,3,12 The Oxford textbook has a few word problems in Exercise 5C on p242, Q1-4 |
After Lesson 15 on Algebra of Exponential Functions, Assigned on Monday, Oct 27 Due: Wednesday, Oct 29 From the Cirrito, 3rd ed. Textbook, Exercise 7.1.1, pg 200-1, anything from Q1-8. Make sure you try Q3b-h,Q7ag,8bcde & Q5cd,6abcf To continue moving toward mastery of Using Exponent Laws, from the following document, PREVIEW the videos reviewing exponential algebra (exponent laws, rational & negative exponents as well as several different ways of looking at Euler's Number. Monday's lesson STARTS with the assumption of MASTERY of all exponent laws, rational & negative exponents!!!!! You can start practicing by working through questions on page 6 of the following worksheet |
After Lesson 14 on Rational Functions, Assigned on Thursday, Oct 23 Due: Monday, Oct 27 To work with rational functions, from the textbook PRECALCULUS; A Graphing Approach by Holt, Sec 4.4; p290, Q3,5,43,44,45,46 and some from Q51-66. You SHOULD present algebraically developed solutions to these questions!!!. To prepare for Exponential Functions, from the following document, PREVIEW the videos reviewing exponential algebra (exponent laws, rational & negative exponents as well as several different ways of looking at Euler's Number. Monday's lesson STARTS with the assumption of MASTERY of all exponent laws, rational & negative exponents!!!!! You can start practicing by working through questions on pages 4 & 5 of the following worksheet |
After Lesson 13 on Complex Roots of Polynomial Equations, Assigned on Tuesday, Oct 21 Due: Thursday, Oct 23 (1) Here is a blank copy of the Functions Unit Test. For those of you who scored IB scores of 5 & lower, I strongly recommend you work through ALL questions on this test, initially on your own. As you work through it, complete the following REFLECTION FORM. As you re-answer all questions, use your notes, your HW, your review. Once you've worked on it independently, work with a small group and discuss all questions & your proposed answers. (2) From the Cirrito Text, Exercise 11.4.1, p414, do a couple of each of Q1,2 and then Exercise 11.4.2 on p418, Q2bc,3abd,4-7 |
After Lesson 12 on Polynomial Equations & Inequalities, Assigned on Monday, Oct 13 Due: Wednesday, Oct 15 Read the following story of John & Betty in preparation for our next lesson. You may stop at page 21 (or continue if you wish) From the OXFORD Mathematics, Higher Level Textbook, work through Exercise 3L on page 133, Q1a,2b,3b,4ab & then Exercise 3O, p144, Q1acd and then Exercise 3P, p146, Q2,3 and then Exercise 3Q, p153, Q1ab,2 |
After Functions QUIZ & for your EID Break: Assigned on Thursday, Oct 2 Due: Monday, Oct 13 To REVIEW Quadratic Algebra and Polynomials, look at the following document/worksheet. You are required to move toward MASTERING an understanding of the concepts related to Quadratics & Polynomials and you are required to REVIEW ALL topics and move toward MASTERY of the algebraic skills required in Quadratics & Polynomials. To that end, I SUGGEST you do as many problems/questions as you feel are required to move toward the MASTERY level for each topic. To support this independent review work, each topic has several videos linked which you could watch to remind you about the CONCEPT & the SKILLS. View them if you need them. The TOPIC TEST we are writing after the break (Oct 15) requires you to know & understand these concepts/skills as well as knowing all our Functions concepts/skills! |
After Lesson 11 on Transformations of Functions Assigned on Thursday, Sep 25 Due: Tuesday, Sep 30 (1) From our Class Handout, go to the second page & do Question #2 and then go to page 5 & do Q1,3,5,7,9. Then on pages 6-9, work through Q1,3,5,7,9,11,13,15 (2) From the OXFORD Mathematics, Higher Level Textbook, work through Exercise 2J on page 81, Q4,5 & then Exercise 2K, p83, Q3,5,6 and then Exercise 2L, p88-9, Q1,3,5 |
After Lesson 10 on Inverses of Functions Assigned on Tuesday, Sep 23 Due: Thursday, Sep 25 (1) If you haven't tried these questions last time, you could work from the textbook PRECALCULUS WITH LIMITS – A Graphing Approach (4th ed) by Larson, Hostetler, Edwards, Sec 1.6, page 69, do SOME of the following: Q1-13 Answers to odd numbered questions posted here (2) From the OXFORD Mathematics, Higher Level Textbook, work through Exercise 2I on page 78, Q1-8 (3) from the Cirrito, 3rd ed. Textbook, Exercise 5.4.2, pg 164, Q1efgh,3,5efgh,9,10bc,12,13 and for more of a challenge, you could try Q14,15,18,21b,20 |
After Lesson 9 on Composing with Functions Assigned on Sunday, Sep 21 Due: Tuesday, Sep 23 To practice with Composition (1) Here are some suggestions from the Cirrito text => Exercises 5.4.1, p154, Q3 (ii),(v),6,9,10,15,16,18,21,22 (3) From the textbook PRECALCULUS WITH LIMITS – A Graphing Approach (4th ed) by Larson, Hostetler, Edwards, Sec 1.5, page 58, do SOME of the following: Q39,43,47,49,55,57,61,63,65,70,77,79,86. Answers to odd numbered questions posted here To PREPARE for Lesson 10 on Inverse Functions, you could work from the textbook PRECALCULUS WITH LIMITS – A Graphing Approach (4th ed) by Larson, Hostetler, Edwards, Sec 1.6, page 69, do SOME of the following: Q1-13 Answers to odd numbered questions posted here |
After Lesson 8 on Operations with Functions Assigned on Wednesday, Sep 17 Due: Sunday, Sep 21 To PRACTICE with the skills & concepts from today's lesson on Operations with Functions: (1) From the Oxford text, Exercise 2H, p74, Q1-4 (5 & 6 ask for decomposition!!) (2) Here are some suggestions from the Cirrito text => Exercises 5.4.1, p154, Q3 (ii),(v),6,9,10,15,16,18,21,22 (3) From the textbook PRECALCULUS WITH LIMITS – A Graphing Approach (4th ed) by Larson, Hostetler, Edwards, Sec 1.5, page 58, do SOME of the following: Q31,33,34,39,43,47,49,55,57,61,63,65,70,77,79,86. Answers to odd numbered questions posted here |
After Lesson 7 Assigned on Monday, Sep 15 Due: Wednesday, Sep 17 ITEM #1 - REFLECTION Here is the ANSWER KEY for our last quiz and I have also linked a blank copy of the Quiz, should you want it. Once you collect your quizzes in class,you are now required to complete the following Quiz Reflection form ITEM #2 - PRACTICE To practice with Domain & Range, you could revisit any questions in the Oxford text (2A - 2F) and do questions you've not done before To practice with Symmetries, work through the Oxford text (Exercise 2G, p69, Q1-9) To practice with Simultaneous Linear Equations, from the Cirrito text, Exercise 2.3.2 on p41 (do some from Q1-4) & to practice with Quadratic Inequalities, from the Cirrito text, Exercise 2.4.3 on p61 (do some from Q1,2) To continue practicing with Functions, here are some suggestions from the Cirrito text (Exercise 5.1 on p113 - do some from Q2,5 and from Exercise 5.2 on p120 - do some from Q4,5,8,13) |
After Lesson 6 Assigned on Thursday, Sep 11 Due: Monday, Sep 15 If you've not completed ALL questions from the Lesson 5 work, please do so by the weekend. However, answers are now posted, so you should check through your own solutions To CONTINUE YOUR development of your understanding of the Analysis of Parent Functions, please work through the following questions from the OXFORD textbook: (1) Exercise 2E, p63, Q1,2,3,4,5 (2) Exercise 2F, p65, Q2,4 (3) Exercise 2G, p69, Q1,2,3,4,6,7 IDEALLY, the hope is that all questions SHOULD BE answered WITHOUT the use of graphing technology (TI-84 or DESMOS). However, if you are unsure of an algebraic approach, do use a graphic approach, but try to move toward an understanding of HOW the algebra could get you those answers that now appear obvious from the graphs SPECIAL NOTE: I will be collecting all the HW you have done from the suggested exercises from Oxford Chap 2 (from 2A - 2G) |
AFTER our QUIZ on Sequences & Series Assigned on Tuesday, Sep 9 Due: Thursday, Sep 11 If you've not completed ALL questions from the Lesson 5 work, please do so by the weekend. To PREPARE for Lesson 6, please work through the following questions from the OXFORD textbook: (1) Exercise 2A, p53, Q1,2 (2) Exercise 2B, p56, Q1,2 (3) Exercise 2C, p58, Q1,2,5,6,7 (4) Exercise 2D, p62, Q1,4,6 IDEALLY, the hope is that all questions SHOULD BE answered WITHOUT the use of graphing technology (TI-84 or DESMOS). However, if you are unsure of an algebraic approach, do use a graphic approach, but try to move toward an understanding of HOW the algebra could get you those answers that now appear obvious from the graphs |
To prepare for our QUIZ on Sequences & Series Assigned on Wednesday, Sep 3 Due: Tuesday, Sep 9 For REVIEW of Arithmetic Sequences & Series, from the 3rd ed of Cirrito => Ex 8.1.3 on page 251, Q3,5,6,7,8,12bc,13b For further practice & REVIEW with Geometric Series, I am re-linking questions from the new edition of the Cirrito textbook ==> You could work through Exercise 8.2.2 on p262-3, Q3ab,4cd,5,10-14. You could also work through Exercise 8.2.3 on p264, Q2,4. Questions dealing with infinite geometric series are in Exercise 8.2.4 on p266-7, Q1ac,8,9,10 I've also posted practice IB questions from past SL exams on our Facebook page. Additionally, from the HL Mathematics book by Tim McGarry from Pearson, here are the Chapter 4 Review Exercises. The following questions are pretty good: Q11,13 (geometry pattern based),14,19,21,25,27,29,33,39,42,48. |
After our start to LESSON 5 - Review of Function Concepts Assigned on Wednesday, Sep 3 Due: Monday, Sep 7 To reinforce some of the Functions concepts you studied in class, the following HW suggestions come from the Cirrito text (the 3rd edition pdfs you received from me in June) => Exercise 5.2 on page 120. Practice with some of Q1,2,3,4,5,6,7,8,9,10. Don't worry about the new notations ==> they basically all mean f(x). For REVIEW of Arithmetic Sequences & Series, from the 3rd ed of Cirrito => Ex 8.1.3 on page 251, Q3,5,6,7,8,12bc,13b For further practice & REVIEW with Geometric Series, I am re-linking questions from the new edition of the Cirrito textbook ==> You could work through Exercise 8.2.2 on p262-3, Q3ab,4cd,5,10-14. You could also work through Exercise 8.2.3 on p264, Q2,4. Questions dealing with infinite geometric series are in Exercise 8.2.4 on p266-7, Q1ac,8,9,10 |
AFTER LESSON 4 - Infinite Geometric Series Assigned on Monday, Sep 1 Due: Wednesday, Sep 3 From the Mathematics Higher Level, Oxford textbook, Exercise 1E, p21, Q8,9 as well as Exercise 1F, p23, Q1 For further practice, I have linked questions from the new edition of the Cirrito textbook ==> You could work through Exercise 8.2.2 on p262-3, Q3ab,4cd,5,10-14. You could also work through Exercise 8.2.3 on p264, Q2,4. Questions dealing with infinite geometric series are in Exercise 8.2.4 on p266-7, Q1ac,8,9,10 |
FOR LESSON 3 (Day 2) - Geometric Series Assigned on Thursday, Aug 28 Due: Monday, Sep 1 From the Mathematics Higher Level, Oxford textbook, Exercise 1E, p21, Q1-5,7 as well as Exercise 1F, p23, Q2,4 (you may have to review compound interest calculations (video link here) to do Q4) For further practice, I have linked another textbook ==> Work through Larson's textbook ==> the second page of the pdf is p583 & do some of Q45-58. Use your graphing calculator (summation command) to check your algebraic work. A final HW option is to try some IB style questions. I have posted some on our HL Facebook page |
FOR LESSON 3 - Arithmetic Series Assigned on Tuesday, Aug 26 Due: Thursday, Aug 28 From the Mathematics Higher Level, Oxford textbook, Exercise 1C, page 14, Q1,3,4,5 For further practice, I have linked another textbook ==> Work through Arithmetic Series from Nelson Text, S2.1. On pages 114-116 work through some of the following questions: Q2ac,5bd,6cd,8cd,10,11,14,15 & 21 for a challenge. If you experience difficulties, look at the EXAMPLES in the first 4 pages of this Nelson text. Here is a link to the ANSWERS You are also starting to grade your summer portfolios ==> grade the PRESENTATION component of your work using the IB mark scheme For review ==> here is a video from PatrickJMT on arithmetic sequences |
FOR LESSON 2 - Working with Sequences Assigned on Sunday, Aug 24 Due: Thursday, Aug 28 From the Cirrito Textbook, 3rd ed. (you should have received from me a pdf of the textbook last year!!!): Exercises 8.1.1 on page 244, Q2,3,4,5,6,8,9,11,12,13 have been suggested, but now after Lesson 2, maybe try some other questions Exercises 8.2.1 on page 255, Q1,3,4,5,7,8,10 have been suggested, but now after Lesson 2, maybe try some other questions Here are the solutions to the requested HW problems from Lesson 2 on Arithmetic & Geometric Sequences from Sec 8.1.1 & 8.1.2 from the Cirrito text You are also starting to grade your summer portfolios ==> grade the PRESENTATION component of your work using the IB mark scheme To help review your skills with sequences, go to this link of collected videos and watch (as well as record the examples). You may also PREVIEW the concept of Arithmetic & Geometric Series |
FOR LESSON 1 - Introduction to Sequences Assigned on Monday, Aug 18 Due: Sunday, Aug 24 From the Cirrito Textbook, 3rd ed. (you should have received from me a pdf of the textbook last year!!!): Exercises 8.1.1 on page 244, Q2,3,4,5,6,8,9,11,12,13 are suggested (but you may do more ... or less - your choice) Exercises 8.2.1 on page 255, Q1,3,4,5,7,8,10 are suggested (but you may do more ... or less - your choice) |