Mr.Timmerman

Homework – Winter 2020

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RHHS Math Dept      RHHS School Page

Extra Practice Sheets

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Work description is in blue.

Handouts given out in class are in green.

If they are underlined, then click to view the file.

Test and quiz announcements are in red.

Handouts posted on this website are in Adobe Reader  ".pdf" format.

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Current Office Hours: 1pm – 2pm                                 Mr.Timmerman’s email: Mihail.timmerman@yrdsb.ca

CLASSES:

Period 1

Grade 10 Enriched/Gifted:

MMP2D2/G - 03

Period 3

Calculus and Vectors:  MCV4U1 – 06

Link to Corrections to Textbook  & Errors                            

Period 4

Calculus and Vectors:  MCV4U1 – 03

Link to Corrections to Textbook  & Errors                                                                                                                

UPCOMING TESTS:

Current:  Assignment is Coming Soon

Please see office hours above!

Please see office hours above!      

Current:  Assignment is Coming Soon

Please see office hours above!      

Current:  Assignment is Coming Soon

Fri. May 29

·    Please see this video on how to draw a parabola well.

·    Here is a summary (with lesson!) for graphing y = x^2.

·    Here is a summary (with lesson!) for graphing y = (1/2)x^2.

·    HW: please see the task assigned here.

·    Here is a solution to number 17 on p.378.

·    Here are more problems with solutions – please review carefully: Problem 1 (please excuse poor copy), Problem 2 and Problem 3.

·    Please see this common mistake discussion (all can benefit). Here is a good exercise to consolidate the concept of a dot product. See this note as well.

·    Please reread Section 7.4 – p.379

·    HW: p.385 #6, 7, 10, 11, 13, 14, 16, 17

·    Time permitting, it’s a good idea to work on p.388 – 389 (do a bit at a time)

·    Here is a solution to number 17 on p.378.

·    Here are more problems with solutions – please review carefully: Problem 1 (please excuse poor copy), Problem 2 and Problem 3.

·    Please see this common mistake discussion (all can benefit). Here is a good exercise to consolidate the concept of a dot product. See this note as well.

·    Please reread Section 7.4 – p.379

·    HW: p.385 #6, 7, 10, 11, 13, 14, 16, 17

·    Time permitting, it’s a good idea to work on p.388 – 389 (do a bit at a time)

Thur. May 28

·    Here is a video summary of previous work – please watch carefully and the paper copy is here (sorry for faint grid).

·    Today we graph y =…Please see the video instruction here.

·    Here are solutions to p.348 – number 2 and number 3 (please realize that number 3 can be done a bit differently as well).

·    Here is a review video and the paper copy.

·    Please see this and that.

·    Today, please read Section 7.4 – p.379

·    HW: p.385 #1 - 4

·    Here are solutions to p.348 – number 2 and number 3 (please realize that number 3 can be done a bit differently as well)

·    Here is a review video and the paper copy.

·    Please see this and that.

·    Today, please read Section 7.4 – p.379

·    HW: p.385 #1 - 4

Wed. May 27

·    I have tried to make a review video which I would like to share with you here (suggestions welcome!) Please view it carefully.

·    Here is a video summary of the graph of the basic parabola with key features.

·    Please see this video on Tables of Values and Finite Differences as well as that video.

·    HW: practice with those (10 – 15 minutes) and sketch the graph of y = -x^2.

·    Today we study Section 7.3 (p.371). I have recorded a video (feedback welcome!) that you can see here as an introduction.

 

·    Here is an example.

 

·    Please read the section and work on the following questions: p.377 #6abef, 7abdf, 8, 9, 12, 13, 17.

·    Time permitting, number 15 an16 are good to try as well (optional).

·    Today we study Section 7.3 (p.371). I have recorded a video (feedback welcome!) that you can see here as an introduction.

 

·    Here is an example.

 

·    Please read the section and work on the following questions: p.377 #6abef, 7abdf, 8, 9, 12, 13, 17.

·    Time permitting, number 15 an16 are good to try as well (optional).

Tue.May 26

·    Please see the first sketch to check your work (without additional points) here and with more detail here.(We define vertex. Show vertex in TOV.Calculate first differences in y-values – from top to bottom, next minus previous)

·    Then we show a STEP PATTERN (or “jumps”) as we move from the vertex, consistently away from vertex, from one lattice point (with only integer coordinates) on the parabola to another – here. And we have all of that here.

·    Please watch this video and make notes of key terminology.

·    A key word: equidistant = same distance from.

·    Please review what we have done in last few days and see if you have any questions.

·    Please see instructions on converting a jpeg to pdf here – please remember to submit work in pdf format.

·    Please take the time and reread Section 7.2 – p.365 – 368

·    Continue working on the problems.

Please make sure you have submitted the assignment:                                             The assignment is p.348 #2, 3.

·    I wonder if people have questions and would like to hear from you on any vector stuff we have covered.

·    We are about to study how to form a product of two vectors. There is no such thing as the product. In fact there are different products that can be formed. This will be section 7.3 for us.

·    Something to look forward to.

·    Please review what we have done in last few days and see if you have any questions.

·    Please see instructions on converting a jpeg to pdf here – please remember to submit work in pdf format.

·    Please take the time and reread Section 7.2 – p.365 – 368

·    Continue working on the problems.

Please make sure you have submitted the assignment:                                             The assignment is p.348 #2, 3.

·    I wonder if people have questions and would like to hear from you on any vector stuff we have covered.

·    We are about to study how to form a product of two vectors. There is no such thing as the product. In fact there are different products that can be formed. This will be section 7.3 for us.

·    Something to look forward to.

·    Please review what we have done in last few days and see if you have any questions.

Mon. May 25

·    Here is a solution to number 9 (p.312)

·    We have finished a Unit on Algebra and Quadratic Equations.Today we start a new Unit on Quadratic Relations (Graphing Parabolas)

·    Today we study Degree of a Term and a Polynomial and Types of Relations  – see here. See answers here.

·    Please study the note on Introduction to Quadratic Relations here.

·    We are going to graph a basic quadratic relation y = x^2, whose graph is a basic parabola.

·    Please see the instructions here.

·    HW: study notes above and plot with the table of values (TOV) the graph of y = x^2. (that means x squared) – due tomorrow by 10:00 am

·    Please get ready some graph paper – we will be graphing more parabolas soon!

·    Please study the solutions to number 3 and number 4 on p.362 here and number 6.

·    New Assignment: due tomorrow by 5 pm. Please note that your first/last name needs to be on the top of the page as well as period 3 or period 4. Please write legibly and show work. Please send in pdf format.

The assignment is p.348 #2, 3.

·    Here is a nice video review (first 3 minutes) of resolving a force into its vector components (representing a vector as a sum of two perpendicular vectors – only difference is that we use trigonometry and not ruler and compass to get at the answer)

·    Today we study Section 7.2 (p.365) – please read p.365 – 368 and watch this video (helps with example 3); here is another good video which discusses relative motion. (see a summary here.)

·    Then we work on p.369 #1 – 12.

·    Please study the solutions to number 3 and number 4 on p.362 here and number 6.

·    New Assignment: due tomorrow by 5 pm. Please note that your first/last name needs to be on the top of the page as well as period 3 or period 4. Please write legibly and show work. Please send in pdf format.

The assignment is p.348 #2, 3.

·    Here is a nice video review (first 3 minutes) of resolving a force into its vector components (representing a vector as a sum of two perpendicular vectors – only difference is that we use trigonometry and not ruler and compass to get at the answer)

·    Today we study Section 7.2 (p.365) – please read p.365 – 368 and watch this video (helps with example 3); here is another good video which discusses relative motion. (see a summary here.)

·    Then we work on p.369 #1 – 12.

Fri. May 22

·    Today we study the Quadratic Formula.

·    We will need to start with quadratic equation in standard form and complete the square (you can use this video we saw before to review completing the square). If you are comfortable with completing the square, see this derivation of the Quadratic Formula and definitely see this nice video.(this video is also a good perspective)

·    Please see examples of using the formula here.

·    Please study the table on p.293 and study Example 2, 3, 4 on p.296

·    HW:   p.300#1, 9; p.312 #9

·    We begin today by studying the Triangle Inequality                                                 (an Important Geometric Fact about All Triangles) – see video here.

·    Please read a summary here. Then we look at Forces Triangles (Equilibrant Forces) here.

·    Please study notes here – Part 1.

·    Please study notes here – Part 2.

·    HW: exercises as mention in the notes above.

·    When it comes to number 10 on page 363 the following video can be helpful ( we only need until 6:12); this is also a good introduction (we need until 2:25)

·    Stay tuned for solutions to HW questions.

·    We begin today by studying the Triangle Inequality (an Important Geometric Fact about All Triangles) – see video here.

·    Please read a summary here. Then we look at Forces Triangles (Equilibrant Forces) here.

·    Please study notes here – Part 1.

·    Please study notes here – Part 2.

·    HW: exercises as mention in the notes above.

·    When it comes to number 10 on page 363 the following video can be helpful ( we only need until 6:12); this is also a good introduction (we need until 2:25)

·    Stay tuned for solutions to HW questions.

Thur. May 21

·    Please see solution to Quadratic Equation Word Problem is here.

·    Please work on PSTs Review here (fill in the blanks); here are the answers.

·    Please stay current with the material – an assignment is coming.

·    For number 2 on p.340: It’s not possible to use zero vector in the spanning set.To span R2, any pair (need two, 2D vectors) of non-zero, noncollinear vectors will do. To span R3 any triple (need 3, 3D vectors) of non-zero, non-coplanar vectors will do. (They of course will be pairwise coplanar, but will not all 3 lie in the same plane – need a way to “get off the plane” to generate more vectors.)

Therefore, the two remaining non-zero vectors will only span R2 (a plane).

·    Please see solutions to p.341 – number 16 and number 17 here.

·    Please study carefully solution to the number 9 on p.341 (explanation, not just the answer is what is important!)

·    Please read Section 7.1 Vectors as Forces: p.355 – 362. Work on p.362 #2, 3, 4,6,8,9

·    Please stay current with the material – an assignment is coming.

·    For number 2 on p.340: It’s not possible to use zero vector in the spanning set.To span R2, any pair (need two, 2D vectors) of non-zero, noncollinear vectors will do. To span R3 any triple (need 3, 3D vectors) of non-zero, non-coplanar vectors will do. (They of course will be pairwise coplanar, but will not all 3 lie in the same plane – need a way to “get off the plane” to generate more vectors.)

Therefore, the two remaining non-zero vectors will only span R2 (a plane).

·    Please see solutions to p.341 – number 16 and number 17 here.

·    Please study carefully solution to the number 9 on p.341 (explanation, not just the answer is what is important!)

·    Please read Section 7.1 Vectors as Forces: p.355 – 362. Work on p.362 #2, 3, 4,6,8,9

Wed. May 20

·    Review – please study this carefully – there is a detailed explanation.

·    Please watch this video and try number 4, number 6 from this (yesterday’s handout)

·    Please try this word problem as well.

·    An important idea is that of span. For two vectors to span R2 means that any vector in R2 can be generated/constructed/written as a linear combination (sum of scalar multiples) of the spanning vectors.

·    Please study the review example here carefully (reference: section 6.8 – p.334).

·    Please read Section 7.1 Vectors as Forces: p.352 – 355 to start with

·    An important idea is that of span. For two vectors to span R2 means that any vector in R2 can be generated/constructed/written as a linear combination (sum of scalar multiples) of the spanning vectors.

·    Please study the review example here carefully (reference: section 6.8 – p.334).

·    Please read Section 7.1 Vectors as Forces: p.352 – 355 to start with

Tue. May 19

·    We start today with the review of Algebraic Structure of Perfect Square Trinomials(PSTs). Study Review here.

·    We now apply our knowledge of PST to Simple Quadratic Trinomials (a = 1) – please study the note here.

·    In general (for all simple PSTs) we have a pattern that we show here.

·    Please see example here. Then try the practice sheet here (only see answers once you tried on your own)

·    We now learn to solve quadratic equations by completing the square (operation of arranging for a PST)

·    Please see this video and try number 3, on this worksheet.

·    Please be sure to check Gizmos every other day.

·    Please be sure to check Gizmos every other day. (Please sign up if you haven’t already!)

·    Please work through “Vectors” and “Adding Vectors” gizmos and do the assessments.

·    Today we study Section 6.8 (p.334). Please read p.334 – 335 including Examples 1, 2 and 3. The watch the video here.

·    Then go back and read the rest of the section. As always it is important to work through the problems.

·    Please work on p.341 #2, 7, 9 – 13, 16

·    This is a nice video on linear combinations.

·    Please be sure to check Gizmos every other day. (Please sign up if you haven’t already!)

·    Please work through “Vectors” and “Adding Vectors” gizmos and do the assessments.

·    Today we study Section 6.8 (p.334). Please read p.334 – 335 including Examples 1, 2 and 3. The watch the video here.

·    Then go back and read the rest of the section. As always it is important to work through the problems.

·    Please work on p.341 #2, 7, 9 – 13, 16

·    This is a nice video on linear combinations.

Mon. May 18

·    Victoria Day – no classes

·    Victoria Day – no classes

·    Victoria Day – no classes

Fri. May 15

·    Please see solutions to number 1, number 2, and number 4 (note that uniform width means the same width all around) from the Word Problem Practice.

·    Please carefully view this video.

·    Please work on p.313 of the textbook – number 18 and 22.

·    Please check later today for more material.

·    Review – Right-Handed System is here.

·    For Section 6.6 please review this summary and try #10 on p.326 (detailed solution to that question is here.)

·    We study Section 6.7 today.

·    Please carefully view this video.(please don’t worry about last example - example 6 for now – we haven’t covered dot product yet – unless you have read ahead)

·     Please read p.327 – 331 of the textbook.

·    Work through p.332 #3, 4, 6, 7, 10, 12, 14;

·    Our goal is to also get to p.333 #8, 13, 15

·    Please see this very short video.

·    Review – Right-Handed System is here.

·    For Section 6.6 please review this summary and try #10 on p.326 (detailed solution to that question is here.)

·    We study Section 6.7 today.

·    Please carefully view this video.(please don’t worry about last example - example 6 for now – we haven’t covered dot product yet – unless you have read ahead)

·     Please read p.327 – 331 of the textbook.

·    Work through p.332 #3, 4, 6, 7, 10, 12, 14;

·    Our goal is to also get to p.333 #8, 13, 15

·    Please see this very short video.

Thur.May 14

·    Review: Solving by Factoring  - please go through this note  and that carefully.

·    Study Word Problem Examples here.

·    Here is more Word Problem Practice (do not do number 6)

·    Be sure to reach out if experiencing difficulties/ when questions arise.

·    HW: a reasonable sample of the Word Problem Practice work.

·    We are studying Cartesian (Algebraic) Vectors now (ordered pairs/triples).

·    Review: p.319 – 322 of the textbook.

·    Please watch this video until 12:12 mark and then more at 19:11 mark (i-hat, j-hat)

·    Here is a Summary for Vectors in R2.

·    Please review Section 6.6 and work on p.325 #2, 4, 6, 7, 8.

·    Once attempted carefully review solution to number 4 here.

·    We are studying Cartesian (Algebraic) Vectors now (ordered pairs/triples).

·    Review: p.319 – 322 of the textbook.

·    Please watch this video until 12:12 mark and then more at 19:11 mark (i-hat, j-hat)

·    Here is a Summary for Vectors in R2.

·    Please review Section 6.6 and work on p.325 #2, 4, 6, 7, 8.

·    Once attempted carefully review solution to number 4 here.

Wed. May 13

·    Today we use our skills of Solving Quadratic Equations by Factoring to Solve Word Problems.

·    Those Word Problems will lead to Factorable Quadratic Equations.

·    Please read p.308 Examples 3, 4.

·    Please work through p.312 # 6, 10,13

·    Once attempted see solution to the  number 6, number 10.

·    Please watch this 7 minute review video.

·    Please study the review notes below.

·    Review/Summary – Part 1 is here.

·    Review/Summary – Part 2 is here.

·    Review/Summary – Part 3 is here.

·    Today we start studying Section 6.6 – Operations with Algebraic Vectors in R2

·    Read p.319 – 322 of the textbook.

·    Please watch this video until 12:12 mark.

·    Please watch this 7 minute review video.

·    Please study the review notes below.

·    Review/Summary – Part 1 is here.

·    Review/Summary – Part 2 is here.

·    Review/Summary – Part 3 is here.

·    Today we start studying Section 6.6 – Operations with Algebraic Vectors in R2

·    Read p.319 – 322 of the textbook.

·    Please watch this video until 12:12 mark.

Tue. May 12

·    Review: please see solutions to p.255 – number 23, number 24, number 26

·    Please see answers to yesterday’s sheet.

·    We turn our attention to Section 6.2 – Solving Quadratic Equations

·    Please read p.275 – Example 1, Example 2, Example 3 (Method 1)

·    Work on p.279 #1 – 6 (every other question); #8 –9 (roots = solutions; if m, n are roots then (x – m)(x – n ) = 0 is a possible equation), 10, 11, 14 (draw a diagram; let x represent the shorter leg of the triangle; record Pythagorean Theorem), 15

·    Review: Please see a nice (and short) video summary here. (Contrary to the name of the source certain amount of memorization is necessary and helpful for learning)

·    Please work on review questions on p.308-309 (suggestion: #3, 6, 7, 13, 15 but more is better)

·    Today we study section 6.5 – Vectors in R2 and R3.

·    Please read p.310 – 313 (please see this short video on R2 and R3; also this video explaines scalar components – entries in the ordered pair of a vector; note the difference in right hand rule; we will follow the book’s version; note that our rule still works in the video ), please read further p.313 – 316

·    Exercises: p.316 #1, 5, 9, 10ade,16

·    Review: Please see a nice (and short) video summary here. (Contrary to the name of the source certain amount of memorization is necessary and helpful for learning)

·    Please work on review questions on p.308-309 (suggestion: #3, 6, 7, 13, 15 but more is better)

·    Today we study section 6.5 – Vectors in R2 and R3.

·    Please read p.310 – 313 (please see this short video on R2 and R3; also this video explaines scalar components – entries in the ordered pair of a vector; note the difference in right hand rule; we will follow the book’s version; note that our rule still works in the video ), please read further p.313 – 316

·    Exercises: p.316 #1, 5, 9, 10ade,16

Mon. May 11

·    Today we learn how to Solve Quadratic Equations by Factoring (Best Method).

·    Please study this note that defines a quadratic equation (in standard form) and outlines the process. Then study those examples carefully.

·    Please watch this short video (note that at the end the instructor skipped Zero Product Principle step).

·    Next we fill in this handout.

·    What happens if a quadratic equation is not in standard form? Convert to standard form (all terms to one side with zero on the other, then solve)

·    Please find practice to do here.

·    Please continue calculus review work!

·    Please be sure to sign up for Gizmos.

·    Today we learn Properties of Vectors (section 6.4) – Please read p.302 – 306

·    Please review/study the summary here.

·    Then work through examples here.

·    Then we need to work through p.306 – 307 #1, 5 – 12.

·    Please do a little bit of work every day so the work does not pile up. Also please be sure to check the site every day and ask questions when you need to.

·    Please continue calculus review work!

·    Please be sure to sign up for Gizmos.

·    Today we learn Properties of Vectors (section 6.4) – Please read p.302 – 306

·    Please review/study the summary here.

·    Then work through examples here.

·    Then we need to work through p.306 – 307 #1, 5 – 12.

·    Please do a little bit of work every day so the work does not pile up. Also please be sure to check the site every day and ask questions when you need to.

Fri. May 8

·    Enrichment: Factoring Difference of Cubes – please study notes here carefully ans see if you can complete the derivation and see this video.

·    Work  on these practice questions and p.255 (textbook) #23 – 26

·    HW: a reasonable sample of difference of cubes practice questions.

·     Please review section 6.3

·     See solution to number 1 here.

·     Then work on p.299 #5,6,7,8.

·     Once attempted see solution to number 7 here.

·     Please also work on p.300 # 13,14,15,17,21

·     Once attempted, see solution to number 17 and number 21.

·     Please review section 6.3

·     See solution to number 1 here.

·     Then work on p.299 #5,6,7,8.

·     Once attempted see solution to number 7 here.

·     Please also work on p.300 # 13,14,15,17,21

·       Once attempted, see solution to number 17 and number 21.

Thur.May 7

·    Please work on a sample from p.246 – 247

·    Please work on a sample from p.253 #1-7

·    Today we get more practice with PSTs and Difference of Perfect Squares.

·    Please work on p.254 #8 (remember that the middle term in a PST is twice the product of square root of first term and the square root of last term)

·    Please work on p.254 #9, 10, 11 (factor first)

·    Please work on p.255 #15, 17, 20, 21.

·         Overall Plan (Sense of Perspective): we study geometric vectors in sections 6.1 to section 6.4 (Midchapter Review including – plan to do as much as you can);

·         Then we learn Algebraic Vectors (algebraic approach). The two approaches complement each other and are always present (not necessarily used) together.

·         Please study the solution to p.292 #17

·         Please listen to this good review.

·         Today we study Section 6.3 – Please read p.293 – 294 to begin with. Then we look at collinear vectors. Those are either lying on the same line or can be made to be on the same line (i.e. the lines that support/carry the vectors are parallel to each other). Read p.295.

·         Please read the examples next: note the angle between two vectors is the smallest angle they form when placed tail-to-tail (0 < theta < 180 degrees)

·         HW:p.298 #1 – 4; please review this.

·       Overall Plan (Sense of Perspective): we study geometric vectors in sections 6.1 to section 6.4 (Midchapter Review including – plan to do as much as you can);

·       Then we learn Algebraic Vectors (algebraic approach). The two approaches complement each other and are always present (not necessarily used) together.

·       Please study the solution to p.292 #17

·       Please listen to this good review.

·       Today we study Section 6.3 – Please read p.293 – 294 to begin with. Then we look at collinear vectors. Those are either lying on the same line or can be made to be on the same line (i.e. the lines that support/carry the vectors are parallel to each other). Read p.295.

·       Please read the examples next: note the angle between two vectors is the smallest angle they form when placed tail-to-tail (0 < theta < 180 degrees)

·       HW:p.298 #1 – 4; please review this.

Wed.May 6

·    Please be sure to sign up for Gizmos.

·    We continue our practice with factoring.

·    Please see this note and study it carefully.

·    Please work on a sample from p.246 – 247

·    Please work on a sample from p.253 #1-7

·         We continue our practice with basics of vectors using vector proofs.

·         Try the question here. If stuck, see below for hints. Once attempted, see a solution here.

·          Hints: draw a diagram, rewrite vectors OA and OC each as a sum of two vectors. Remember opposite vectors add up to a zero vector (zero magnitude, arbitrary/any direction).

·         Please be sure to sign up for Gizmos.

·         Here is the solution to number 14 on p.292 (section 6.2). Study it carefully!

·         Here is solution to number 16. Please review the note on geometric vector subtraction to understand it well!

·         There are also enrichment notes on trigonometric limits posted on extra practice page.

·       We continue our practice with basics of vectors using vector proofs.

·       Try the question here. If stuck, see below for hints. Once attempted, see a solution here.

·       Hints: draw a diagram, rewrite vectors OA and OC each as a sum of two vectors. Remember opposite vectors add up to a zero vector (zero magnitude, arbitrary/any direction).

·       Please be sure to sign up for Gizmos.

·       Here is the solution to number 14 on p.292 (section 6.2). Study it carefully!

·       Here is solution to number 16. Please review the note on geometric vector subtraction to understand it well!

·       There are also enrichment notes on trigonometric limits posted on extra practice page.

Tue. May 5

·    Please see answers to previous exercises here.

·    Please use Decomposition of Middle Term (with Factoring by Grouping) Method for Factoring Non-Simple (a is not 1 or – 1) Trinomials. While “Australian Method” is interesting I advocate the first method explained.

·    Please carefully study this as well.

·    HW: continues with practice questions; if all done, you could work a bit on some of p.246 – 247 (text); I also recommend you read Ex 1 – 3 (p.243)

·    A great question has been asked – everybody please read the response – Chain Rule for Vectors addressed there as well - Please continue asking questions!

·    Here is a nother great video on Adding Vectors – Velocity – link here.

·    A Great Application is Proving with Vectors – please study the video and this.

·    Please watch the video on proving geometric facts using vectors – link here.

·    Please continue calculus review work!

·    A great question has been asked – everybody please read the response – Chain Rule for Vectors addressed there as well - Please continue asking questions!

·    Here is a nother great video on Adding Vectors – Velocity – link here.

·    A Great Application is Proving with Vectors – please study the video and this.

·    Please watch the video on proving geometric facts using vectors – link here.

·    Please continue calculus review work!

Mon. May 4

·   Review of PSTs here and answers.

·   Please watch this lesson carefully. Stopt the video and try on your own before continuing (once you get the idea).

·   Here are questions for practice.

·   Those are simple trinomial practice questions that are great for strengthening the skills.

·    Please continue calculus review work!

·    Please see solutions to side 2 of handout; those need to be carefully studied as well as notes below. Let me know what needs clarification.

·    Here is a nice solution to example 5.

·    Here is a note for Vector Subtraction.

·    Please read p.282-289 of text carefully.

·    We also need to work through p.290        #3 – 7, 12, 15; once attempted , see this.

·    Please continue calculus review work!

·    Please see solutions to side 2 of handout; those need to be carefully studied as well as notes below. Let me know what needs clarification.

·    Here is a nice solution to example 5.

·    Here is a note for Vector Subtraction.

·    Please read p.282-289 of text carefully.

·    We also need to work through p.290        #3 – 7, 12, 15; once attempted , see this.

Fri. May 1

·    Please work on this PST handout here.

·    We now learn how to factor Simple Trinomials – exploration exercise here.

·    Answers to exploration exercise here.

·    HW: read examples 1 and 2 on p.238 – 240 of textbook and work on p.240 #1 – 5;

·    This video is helpful (note #1 is a PST; also note that we look at the product first).

·    Please review basic vectors here.

·    Today we learn Vector Laws – Part 1. First we learn about Parallel Transfer here.

·    Vector Laws worksheets are here and Solutions to Part 1(Side 1) are here.

·    HW: please review notes/video above as well as this video.

·    Please continue calculus review work!

·    Please review basic vectors here.

·    Today we learn Vector Laws – Part 1. First we learn about Parallel Transfer here.

·    Vector Laws worksheets are here and Solutions to Part 1(Side 1) are here.

·    HW: please review notes/video above as well as this video.

·    Please continue calculus review work!

Thur. Apr 30

·    Introduction to Quadratic Trinomials (Introducing key terminology) here.

·    Today we discuss Perfect Square Trinomials (PSTs). We want to learn what they are, their structure and how to recognize and factor them.

·    Please carefully study these notes: Part 1, Part 2, Part 3.

·    Please work on these questions.

·    Please continue calculus review work!

·    Please study the notes below carefully – any questions, please let me know.

·    Unit Vector (Vector of Length 1) - note.

·    Here is note for side 2 of yesterday’s handout.

·    Introduction to Vectors – 2 – note here.

·    HW: p.279 #10 – 11

·    Please see this note on p.280 #6e – mistake in answers.

·    Please continue calculus review work!

·    Please study the notes below carefully – any questions, please let me know.

·    Unit Vector (Vector of Length 1) - note.

·    Here is note for side 2 of yesterday’s handout.

·    Introduction to Vectors – 2 – note here.

·    HW: p.279 #10 – 11

·    Please see this note on p.280 #6e – mistake in answers.

Wed. Apr 29

·    Please review a note on Laws of Exponents

·    More Difference of Squares Practice and Solutions are here. (Try on your own first!)

·    HW: textbook p.253 #1 – 2, 17

·    Please continue calculus review work!

·    Please continue working on p.248 – 249; p.263-270

·    Please see a youtube link that is good for review as well here.

·    We now begin the study of Vectors.

·    Here is the intitial Introduction Note.

·    Please read section 6.1 (p.275) and here is the handout – we work through page 1 today. The page 1 solution is here.

·    HW: p.279 #1-8; please see this.

·    Please continue calculus review work!

·    Please continue working on p.248 – 249; p.263-270

·    Please see a youtube link that is good for review as well here.

·    We now begin the study of Vectors.

·    Here is the intitial Introduction Note.

·    Please read section 6.1 (p.275) and here is the handout – we work through page 1 today. The page 1 solution is here.

·    HW: p.279 #1-8; please see this.

Tue. Apr 28

·    Please review yesterday’s lesson carefully.

·    Please see Difference of Squares Continued – More Examples.

·    Then go back and review/redo yesterday’s handout.

·    Please review this and that as well.

·    Please continue calculus review work!

·    Please continue working on p.248 – 249; p.263-270

·    Please see the answers to questions offered yesterday here.

·    More postings coming.

·    Please continue calculus review work!

·    Please continue working on p.248 – 249; p.263-270

·    Please see the answers to questions offered yesterday here.

·    More postings coming.

Mon.Apr 27

·    Please work on those factoring by grouping questions and submit by end of day tomorrow.

·    Todays Lesson is (part 1) on Factoring the Difference of Perfect Squares (DPS) – here.

·    Please study the lesson carefully.

·    HW:  please work on this handout. More notes are coming to help with some of those questions. Check the site regularly!

·    Please continue calculus review work!

·    For interested students there will be enrichment notes (university prep) on my extra practice sheets page (see link on top of this page).

·    Please continue working on p.248 – 249; p.263-270

·    Please review this as well and work on that sample of review questions.

·    Please continue calculus review work!

·    For interested students there will be enrichment notes (university prep) on my extra practice sheets page (see link on top of this page).

·    Please continue working on p.248 – 249; p.263-270

·    Please review this as well and work on that sample of review questions.

Fri. Apr 24

·    Factoring by Grouping Continued.

·    Regular Grouping (Same number of terms in each group, e.g. 2 and 2) and Special Grouping (Unequal number of terms, e.g. one group has 1 term, another 2 terms)

·    Please see note and study it carefully (with ideas about #4 – special grouping) here.

·    Please practice this; check with that.

·    HW: finish this and do some Extra Practice.

·    Please see solutions to Section 5.5 – p.260: number 8, number 9, number 10, number 11 (error in book answer).

·    Today we begin active and focused review of Calculus before we switch to Vectors part of the course: p.248-249; p.263-270.

·    Pleas work on review pages above over the next few days.

·    Here is Applications of Exp/Log Functions and solutions.

·    Please see solutions to Section 5.5 – p.260: number 8, number 9, number 10, number 11 (error in book answer).

·    Today we begin active and focused review of Calculus before we switch to Vectors part of the course: p.248-249; p.263-270.

·    Pleas work on review pages above over the next few days.

·    Here is Applications of Exp/Log Functions and solutions.

Thur. Apr 23

·    Please continue work on common factoring exercises from day before.

·    Please submit assignments on time – all your submissions are marked and recorded!                                            (Solutions to the last one are coming!)

·    Please study Factoring by Grouping lesson that is found here and practice number 1 ONLY from this worksheet.

·     Please continue work on already covered/assigned material.

·     Please see solution to p.257 #6d here.

·     Please study page 1,                         (Implicit Differentiation) ONLY from this.(page 2 is optional enrichment)

·     Please work on numbers 1 – 3 from this.

·     The assignment due Tuesday is: p.263 #3de, 4a, 7, 8.

·     Please continue work on already covered/assigned material.

·     Please see solution to p.257 #6d here.

·     Please study page 1,                         (Implicit Differentiation) ONLY from this.(page 2 is optional enrichment)

·     Please work on numbers 1 – 3 from this.

·     The assignment due Tuesday is: p.263 #3de, 4a, 7, 8.

Wed. Apr 22

·    Please remember the Assignment is due today.

·    Here is Introduction to Factoring lesson note – please study carefully.

·    Here are Examples/Exercises notes – please study carefully.

·    See notes with practice exercises here.

·     In Monday’s entry, review exercises – number 3 should allow a = 0 as an answer.

·     Here is p.260 number 1, number 3, number 5, number 7.

·     Please work on these questions – see notes once questions have been attempted.

·     See solutions to p.246 number 8;         p.257 number 13.

·     In Monday’s entry, review exercises – number 3 should allow a = 0 as an answer.

·     Here is p.260 number 1, number 3, number 5, number 7.

·     Please work on these questions – see notes once questions have been attempted.

·     See solutions to p.246 number 8;         p.257 number 13.

Tue. Apr 21

·    Please see solution to assignment here.

·    Please continue working on practice sheets posted the day before.

·    Continue Assignment work (due tomorrow) – if having difficulty after at least 10 minutes of focused effort see this

·     We continue to practice derivative of tangent formula and look at secant and cosecant.

·     Please see the handout here and the notes.

·     Please take the time to study material carefully and work through the exercises.

·     There will be a mandatory assignment coming soon – stay on top of things!

·     We continue to practice derivative of tangent formula and look at secant and cosecant.

·     Please see the handout here and the notes.

·     Please take the time to study material carefully and work through the exercises.

·   There will be a mandatory assignment coming soon – stay on top of things!

Mon. Apr 20

·    Please remember to hand in the assignment by 5:00 pm today.

·    Here is a New Analytic Geometry Assignment due Wednesday.              (please scroll down the page to see organization requirement)

·    Please do some work on this law of exponents practice sheet. Show steps!

·    Please review this and do some work on those sheets.

·   Please see review exercises;

·   solutions are here.

·   Derivative of the Tangent Function – Please read section 5.5 (p.258 – 259)

·   Please work through #1 – 11 on p.260

·   Some previous HW solutions:                         p.256 number 1, Number 2, number 6, number 7. (please note the answer for number 7 b is wrong)

·   Please see review exercises;

·   solutions are here.

·   Derivative of the Tangent Function – Please read section 5.5 (p.258 – 259)

·   Please work through #1 – 11 on p.260

·   Some previous HW solutions:                         p.256 number 1, Number 2, number 6, number 7. (please note the answer for number 7 b is wrong)

Fri. Apr 17

·    Please Review – Terminology – note here.

·    Lesson – Expanding and Simlplifying Products of Polynomials – note here.

·    HW:  work through these questions.

·    Here is the Assignment that is due Monday by 5:00. Please write clearly and show steps (your work!).

·    Any questions, please email during office hours.

·   Review: Find the point(s) of inflection for f(x) = x(e^(-2x)). Once tried, see this.

·   Please work through these questions.

·   Once attempted, please see the solutions. Please note that, for the graph of y = (sin(x)/x), there is a hole in the graph at (0, 1) which is not shown in the graph in the notes.

·   Review: Find the point(s) of inflection for f(x) = x(e^(-2x)). Once tried, see this.

·   Please work through these questions.

·   Once attempted, please see the solutions. Please note that, for the graph of y = (sin(x)/x), there is a hole in the graph at (0, 1) which is not shown in the graph in the notes.

Thur. Apr 16

·    Laws of Exponents Continued.

·    Please watch parts 2, 3 videos and continue working on exercise handouts posted below.

·    Please review a new format I will be using in addition to old one.

·    HW: a reasonable sample of Practice 1, Practice 2, Practice 3.

·   Review: At what point on the graph of the function y = (2^x) – 3 does the tangent line have the slope of 21? Once tried, see this.

·   Please review a new format I will be using in addition to old one.

·   We now discover Derivative of Sine, Cosine.

·   Setting the Stage: limit 1, and limit 2.

·   Derivation is here.

·   HW:  read p.251 – 255 (we will use the book as much as we can); p.256 #1 – 10

·   Review: At what point on the graph of the function y = (2^x) – 3 does the tangent line have the slope of 21? Once tried, see this.

·   Please review a new format I will be using in addition to old one.

·   We now discover Derivative of Sine, Cosine.

·   Setting the Stage: limit 1, and limit 2.

·   Derivation is here.

·   HW:  read p.251 – 255 (we will use the book as much as we can); p.256 #1 – 10

Wed. Apr 15

·    Laws of Exponents.

·    Please see a review/lesson here. Please follow the circled letters: A, B, C, …

·    Here is a good video:

https://www.youtube.com/watch?v=wsaH5CARIHI (and parts 2 and 3)

·    HW: a reasonable sample of Practice 1, Practice 2, Practice 3.

·   Exercise: Please construct the graph of y = (ln of x )over x using curve sketching algorithm.

·   Once done please see with answers here.

·   Please read Section 5. 3 examples (p.241) and work on p.245 #4 – 5, 8 – 11, 12cd.

·   An Important Extension: Please see review/consolidation here and a lesson on logarithmic differentiation here.

·   Exercise: Please construct the graph of y =( ln of x) over x using curve sketching algorithm.

·   Once done please see with answers here.

·   Please read Section 5. 3 examples (p.241) and work on p.245 #4 – 5, 8 – 11, 12cd.

·   An Important Extension: Please see review/consolidation here and a lesson on logarithmic differentiation here.

Tue. Apr 14

·    Please recognize that in yesterday’s examples diagrams were missing (We all need to Think Graphically, Solve Analytically!)

·    Please see a note on one of the HW questions here.

·    Please check this site soon – more is coming!

·    Derivative of a General Logarithmic Function – please see lesson note here. Please also read p.576 of the textbook as well as class notes.

·    Class handout is here and answers.

·    Please see solution to p.575 # 4 f here,   number 6, number 7, number 8, number 12, number 13; p.578 number 3a, number 5.

·    Response – Graphing Function Using the Graph of Its Derivative is here.

·    Derivative of a General Logarithmic Function – please see lesson note here. Please also read p.576 of the textbook as well as class notes.

·    Class handout is here and answers.

·    Please see solution to p.575 # 4 f here,   number 6, number 7, number 8, number 12, number 13; p.578 number 3a, number 5.

·    Response – Graphing Function Using the Graph of Its Derivative is here.

Mon. Apr 13

·    Easter Monday.

·    Easter Monday.

·    Easter Monday.

Fri. Apr 10

·    Good Friday.

·    Good Friday.

·    Good Friday.

Thur. Apr 9

·    No office hours today.

·    Verifying Properties of Geometric Figures.

·    Please review an example here.

·    Please review those examples as well.

·    HW: p.136 # 14; read examples 1 and 2 on p.140 – 141;  p. 142 # 1 - 5

·    No office hours today.

·    Derivative of Natural Logarithmic Functions – lesson note here.

·    Class handout is here. Answers here.

·    HW: see textbook reference in worksheet.

·    No office hours today.

·    Derivative of Natural Logarithmic Functions – lesson note here.

·    Class handout is here. Answers here.

·    HW: see textbook reference in worksheet.

Wed. Apr 8

·    Please review postings from the day before carefully.

·    No office hours tomorrow.

·    Please review this example.

·    Please see solutions to p.233 #13 here.

·    No office hours tomorrow.

·    Please see example here.

·    HW: p.232 #2 – 13, 15

·    Please see solutions to p.233 #13 here.

·    No office hours tomorrow.

·    Please see example here.

·    HW: p.232 #2 – 13, 15

Tue. Apr 7

·    Please submit the task 1 by noon next day

·    Please all review feedback on task 1 here.

·    The Lesson Note on Distance from a Point to a Line is here. Please read carefully!

·    Next go through the note for Length of the Altitude. For Comparison Method, please use fractions instead of decimals in the note. Next read Examples 1, 2 on p.119

·    HW: p.124 #1, 3, 4, 17

·    Please see solutions to last lesson here.

·    HW: p.232 #2 – 13, 15

·    In number 14 on p.233, part (i) the exponent of x on (1+1/x) is missing. See our journal entry

·    Please carefully review this note in the order shown by circled numbers in red.

·    Please carefully review notes below.

·    Derivative of General Exponential Function.

·    Class handout with solutions here.

·    Please see solutions to last lesson here.

·    HW: p.232 #2 – 13, 15

·    In number 14 on p.233, part (i) the exponent of x on (1+1/x) is missing. See our journal entry

·    Please carefully review this note in the order shown by circled numbers in red.

·    Please carefully review notes below.

·    Derivative of General Exponential Function.

·    Class handout with solutions here.

Mon. Apr 6

·    Good Day! We begin with a task that is assigned. Please complete by Wednesday and email me a scan or picture of a solution in your own hand writing. Hints and directions are found here.                     (If difficulties arise, let me know – there is a reasonable flexibility that we practise)

·    Please check this website regularly for information on specific items.

·    Please check this website regularly for information on specific items.

·    Today we begin a unit on Derivatives of Exponential, Logarithmic and Trigonometric Functions. Our Goal is to be able to differentiate all of these functions and solve related problems.

·    Here is our first task: we are learning about a new mathematical constant, e (Euler Number).

·    Please fill out the blanks and the table. Check with Answers.

·    Please see Note 1: A remarkable limit .

·    Plese see Note 2: Derivative of E to the X.

·    Class handout to work through is here.

·    Please check this website regularly for information on specific items.

·    Today we begin a unit on Derivatives of Exponential, Logarithmic and Trigonometric Functions. Our Goal is to be able to differentiate all of these functions and solve related problems.

·    Here is our first task: we are learning about a new mathematical constant, e (Euler Number).

·    Please fill out the blanks and the table. Check with Answers.

·    Please see Note 1: A remarkable limit .

·    Plese see Note 2: Derivative of E to the X.

·    Class handout to work through is here.

Fri. Mar 14

·    Equation of a Tangent Line.

·    Problem Solving with Circles.

·    Reference: textbook – p.100 – 105;      p.147 – 151

·    HW: review class notes  and work on class worksheets

·    Curve Sketching – Part 2

·    Please see this and that.

·    Please see this and additional resourse here.

·    Also this is worth looking at.

·    HW: review class notes; work on textbook exercises.

·    Curve Sketching – Part 2

·    Please see this and that.

·    Please see this and additional resourse here.

·    Also this is worth looking at.

·    HW: review class notes; work on textbook exercises.

Thur.Mar 13

·    Points on Circles. Intercepts.

·    Point On/Inside/Outside the Circle.

·    HW: review class notes  and work on class worksheets

·    Curve Sketching – Part 1

·    Please see this, this, and that.

·    HW: review class notes; work on textbook work.

·    Curve Sketching – Part 1

·    Please see this, this, and that.

·    HW: review class notes; work on textbook work.

Wed.Mar 11

·    Circle Centered at the Origin

·    Circle Centered at (h, k). See answers.

·    HW: review class notes  and work on class worksheets

·    Quiz

·    Concavity and Points of Inflection.

·    Please see this, this,and that.

·    HW: read p.199 – 204;  p.205 #4, 8, 10, 11

·    Quiz

·    Concavity and Points of Inflection.

·    Please see this, this,and that.

·    HW: read p.199 – 204;  p.205 #4, 8, 10, 11

Tue. Mar 10

·    Review – Triangle Centers.

·    Distance from a Point to the Origin.

·    The Distance Formula.

·    Please see this.

·    HW: review class notes  and work on class worksheets

·    Asymptotes – see notes here.

·    Please see this solution as well.

·    HW: review class notes; work on textbook work.

·    Asymptotes – see notes here.

·    Please see this solution as well.

·    HW: review class notes; work on textbook work.

Mon. Mar 9

·    Triangles

·    Line Segments in a Triangle.

·    Triangle Centers. Please see this.

·    HW: review class notes  and work on class worksheets

·    Optimization Practice

·    See this and that.

·    HW: review class notes; work on textbook work.

·    Optimization Practice

·    See this and that.

·    HW: review class notes; work on textbook work.

Fri. Mar 6

·    Review – Linear Systems

·    Quiz

·    LCM and GCD

·    HW: review class notes  and work on class worksheets

·    Optimization – Part 2

·    Please see this and that.

·    HW: review class notes; work on textbook work.

·    Optimization – Part 2

·    Please see this and that.

·    HW: review class notes; work on textbook work.

Thur. Mar 5

·    Divisor Counting – 2 Continued.

·    Took up number 1 and number 2 (here)

·    HW: review class notes  and work on class worksheets

·    Optimization on an Interval – note here.

·    Optimization Problems 1 – Measurement – nthe notes are here.

·    HW: review class notes; work on textbook work.

·    Optimization on an Interval – note here.

·    Optimization Problems 1 – Measurement – nthe notes are here.

·    HW: review class notes; work on textbook work.

Wed. Mar 4

·    Divisor Counting – Part 2

·    Please review this carefully.

·    HW: review class notes  and work on class worksheets

·    Increasing and Decreasing Functions

·    See note here and notes here and here.

·    HW: review class notes  and work on class worksheets; textbook work.

·    Increasing and Decreasing Functions

·    See note here and notes here and here.

·    HW: review class notes  and work on class worksheets; textbook work.

Tue. Mar 3

·    Introduction to Divisor Counting

·    HW: review class notes  and work on class worksheets

·    Test

·    HW: see previous day entry.

·    Test

·    HW: see previous day entry.

Mon. Mar 2

·    More PND and Problem Solving

·    HW: review class notes  and work on class worksheets

·    Position, Velocity and Acceleration for a Straight Line Motion/Derivatives of Various Orders

·    See notes here.

·    HW: review class notes  and work on class worksheets; textbook work.

·    Position, Velocity and Acceleration for a Straight Line Motion/Derivatives of Various Orders

·    See notes here.

·    HW: review class notes  and work on class worksheets; textbook work.

Fri. Feb 28

·    Unit 1 Outline – team work.

·    PS with Linear Relations.

·    Unit 2 Started: Number Theory and Analytic Geometry

·    Primes and Composites – see notes

·    HW: review class notes  and work on class worksheets

·    PS with Limits.

·    Sketching the Graph of the Derivative Function

·    Review time.

·    HW: review class notes  and work on class worksheets; textbook work and chapter 1 and 2 textbook review questions.

·    See this as well.

·    PS with Limits.

·    Sketching the Graph of the Derivative Function

·    Review time.

·    HW: review class notes  and work on class worksheets; textbook work and chapter 1 and 2 textbook review questions.

·    See this as well.

Thur. Feb 27

·    Review – see here.

·    Problem Solving with Linear Systems. Solution to number 3 is here.

·    HW: review class notes  and work on class worksheets; see this also.

·    Please see this, this solution, and that.

·    Higher Order Derivatives.

·    See notes here.

·    HW: review class notes  and work on class worksheets; textbook work and chapter 1 and 2 textbook review questions. See this as well.

·    Please see this, this solution, and that.

·    Higher Order Derivatives.

·    See notes here.

·    HW: review class notes  and work on class worksheets; textbook work and chapter 1 and 2 textbook review questions.                 See this as well.

Wed. Feb 26

·    Linear Systems with Literal Coefficients – see note here.

·    A Difference of Squares Number Pattern

·    Handout – Problem Solving with Linear Systems

·    HW: review class notes  and work on class worksheets

·    Quiz

·    More Implicit Differentiation – examples

·    Textbook work assigned:  p.564 #2, 3cd, 4 – 10, 12, 13

·    Handout – Review. Also please see this solution.

·    HW: review class notes  and work on class worksheets; textbook work; also see this.

·    Quiz

·    More Implicit Differentiation – examples

·    Textbook work assigned:  p.564 #2, 3cd, 4 – 10, 12, 13

·    Handout – Review. Also please see this solution.

·    HW: review class notes  and work on class worksheets; textbook work; also see this.

Tue. Feb 25

·    Quiz

·    Word Problems Practice

·    HW: review class notes  and work on class worksheets

·    Implicit Differentiation

·    Examples

·    HW: review class notes  and work on class worksheets; textbook work.

·    Please review entries for day before (below).

·    Implicit Differentiation

·    Examples

·    HW: review class notes  and work on class worksheets; textbook work.

·    Please review entries for day before (below).

Mon. Feb 24

·    Proving Results and Proof by Contradiction (fractions, elimination)

·    Number 73 – plane with/against wind

·    Number 83 – digits problems

·    HW: 8 problems from 60 to 84

·    The Derivative of a Composite Function – The Chain Rule

·    See notes here.

·    HW: review class notes  and work on class worksheets; textbook work.

·    Please see this and that.

·    The Derivative of a Composite Function – The Chain Rule

·    See notes here.

·    HW: review class notes  and work on class worksheets; textbook work.

·    Please see this and that.

Fri. Feb 21

·    No Classes!

·    No Classes!

·    No Classes!

Thur. Feb 20

·    AP Courses Presentation

·    Proof for ( - 1, 2) systems – here.

·    Number 54 and number 60.

·    HW: a reasonable sample of class handout, review class notes.

·    Review/Consolidation (Derivative, Power Rule, Particular Case of Chain Rule)

·    The Quotient Rule – derivation and example.

·    See notes here.

·    HW: review class notes  and work on class worksheets; textbook work.

·    Review/Consolidation (Derivative, Power Rule, Particular Case of Chain Rule)

·    The Quotient Rule – derivation and example.

·    See notes here.

·    HW: review class notes  and work on class worksheets; textbook work.

Wed. Feb 19

·    Linear Systems Word Problems (Money type, Dimensions Type, Investment Type – class handout)

·    HW: a reasonable sample of class handout, review class notes.

·    Review

·    Proof of Power Rule.

·    Derivative of a Product – see notes.

·    Extension: product of 3 functions – lead into Power Rule with Chain Rule

·    HW: review class notes  and work on class worksheets; textbook work.

·    Review

·    Proof of Power Rule.

·    Derivative of a Product – see notes.

·    Extension: product of 3 functions – lead into Power Rule with Chain Rule

·    HW: review class notes  and work on class worksheets; textbook work.

Tue. Feb 18

·    A Pattern – Linear Systems with (-1, 2)

·    Linear Systems Word Problems

·    Quizzes Returned.

·    HW: a reasonable sample of class handout, review class notes.

·    Quiz

·    Derivative Review (First Principles).

·    Differentiability vs Continuity.

·    Derivatives of Polynomial Functions – see notes here. A solution here.

·    HW: review class notes  and work on class worksheets; textbook work.

·    Quiz

·    Derivative Review (First Principles).

·    Differentiability vs Continuity.

·    Derivatives of Polynomial Functions – see notes here. A solution here.

·    HW: review class notes  and work on class worksheets; textbook work.

Mon. Feb 17

·    Family Day/Long Weekend

·    Family Day/Long Weekend

·    Family Day/Long Weekend

Fri. Feb 14

·    Solving Linear Systems by Elimination

·    Review – Number of Solutions .

·    Handouts here and here.

·    HW: a reasonable sample of class handout, review class notes.

·    Mr. Ts Limits – see here, here and here.

·    The Derivative Function. First Principles Definition. Example. See notes.

·    When Derivative Does Not Exist.

·    HW: a reasonable sample of class handouts as discussed in class.

·    Mr. Ts Limits – see here, here and here.

·    The Derivative Function. First Principles Definition. Example. See notes.

·    When Derivative Does Not Exist.

·    HW: a reasonable sample of class handouts as discussed in class.

Thur. Feb 13

·    Gaussian Sums

·    Solving Linear Systems by Substitution

·    Solving Linear Systems by Comparison

·    HW: a reasonable sample of class handout, review class notes.

·    Limits Practice

·    See an example here.

·    Please see this and that.

·    HW: review class notes  and work on class worksheets.

·    Limits Practice

·    See an example here.

·    Please see this and that.

·    HW: review class notes  and work on class worksheets.

Wed. Feb 12

·    Quiz

·    Solving Linear Systems by Graphing.

·    HW: class handout.

·    Infinite Limits and Limits at Infinity.

·    Class Examples – see note here.

·    HW: class worksheet.

·    Infinite Limits and Limits at Infinity.

·    Class Examples – see note here.

·    HW: class worksheet.

Tue. Feb 11

·    Graphing Straight Lines

·    Intro to Linear Systems.

·    Solving Linear Systems by Graphing – see cases here.

·    HW: class handout

·    Continuity – note 1.

·    Continuity – note 2.

·    Another note from class is here.

·    HW: see class handout (above)

·    Continuity – note 1.

·    Continuity – note 2.

·    Another note from class is here.

·    HW: see class handout (above)

Mon. Feb 10

·    Linear Relations. Equation of a Straight Line and Key Features.

·    Exercises – handout.

·    Textbooks distributed.

·    Please see this solution.

·    HW: a reasonable sample of class handout, review class notes.

·    Properties of Limits.

·    Examples of Calculating Limits.

·    Please see notes here and here.

·    HW: please review class notes, work on class handout (solutions are above), and work on p.45 #4 – 10, 12, 15, 16.

·    Please see this solution as well.

·    Properties of Limits.

·    Examples of Calculating Limits.

·    Please see notes here and here.

·    HW: please review class notes, work on class handout (solutions links are above), and work on p.45 #4 – 10, 12,15, 16.

·    Please see this solution as well.

Fri. Feb 7

·    Report Cards Distributed.

·    Practice – Equations with Fractions.

·    Took up number 5, 6(word problems).

·    Problem Solving with Fractions – number 2, number 4 - see here.

·    HW: a reasonable sample of class handouts as discussed.

 

·    The Limit of a Function – see notes.

·    Practice.

·    HW: see class notes above.

 

·    The Limit of a Function – see notes.

·    Practice.

 

·    HW: see class notes above.

Thur. Feb 6

·    Review – Fractions

·    Equations with Fractions

·    Problem Solving with Patterning Continued (sum of a series)

·    Word Problems with Frractions

·    HW: #1 – 7 from class handout

·    Please see this and that.

·    More Rates of Change – Ex 1, Ex 2.

·    Slope of Tangent and Behavior of the Function (increasing/decreasing).

·    Average and Instantaneous Velocity.

·    See note for Velocity here.

·    Rates of Change – notes are here (HW specified there.)

·    HW: see class handout. (section 1.3)

·    More Rates of Change – Ex 1, Ex 2.

·    Slope of Tangent and Behavior of the Function (increasing/decreasing).

·    Average and Instantaneous Velocity.

·    See note for Velocity here.

·    Rates of Change – notes are here (HW specified there.)

·    HW: see class handout. (section 1.3)

Wed. Feb 5

·    Review – Fractions

·    Intro to Problem Solving (heuristics, patterning, considering simpler problems)

·    Practice: Fraction work.

·    HW: a reasonable sample of class handouts

·    Rates of Change – ARC and IRC.

·    IRC as the Slope of the Tangent Line.

·    See notes here.

·    Please see this for HW instead of class handout (next homework)

·    HW: see class handout for reference.

·    Rates of Change – ARC and IRC.

·    IRC as the Slope of the Tangent Line.

·    See notes here.

·    Please see this for HW instead of class handout (next homework)

·    HW: see class handout for reference.

Tue. Feb 4

·    No Classes

·    No Classes

·    No Classes

Mon. Feb 3

·    Intro and Course Expectations

·    Diagnostic Assessment

·    HW: signature on course outline, and a reasonable sample of class handouts

·    Intro and Course Expectations

·    Rationalizing the Denominator.

·    Here is the HW and Answers.

·    Please see this and that.

·    Intro and Course Expectations

·    Rationalizing the Denominator.

·    Here is the HW and Answers.

Please see this and that.