Homework For Mr Santowski's IB Math SL Classes



These Problem Sets have been designed to help you master all the required content for the IB Math SL course. It is not structured like most math courses you have previously taken, and you will see that it requires a different approach on your part.

In each Problem Set, you will be given a number of problems - usually between 7 and 8 - to prepare for the next lesson. They should take 100 - 120 minutes in total (inclusive of 85 minutes of class time). You might not always be able to fully solve all problems, but we expect you to attempt as many as you can. In class, you will be expected to present your solutions and discuss solutions that others have shared. Each lesson will involve discussing the problems you have prepared for homework in preparation for the next lesson. Lessons are your principal opportunity to ask for help on material you couldn’t do, so be prepared to ask other students how they solved problems or how they knew what approach to take. Discussion should take about 40 minutes in our lessons, and the remainder of the time should be spent looking at further problems from subsequent Problem Sets.

How you take notes is very much up to you, but we will indicate whenever we think there is a topic on which you are likely to want to take notes. If you are unsure what you are supposed to have understood from a question, ask your peers.




For A BLOCK For F BLOCK


After Problem Set 31

Assigned on Tuesday, Feb 20

Due: Thursday, Feb 22


Complete Problem Set 31 and you should have Q1 & Q7 in Problem Set 32 done from class. Complete Problem Set 32 (Q2,3,4,5,6,8)



After Problem Set 32

Assigned on Wednesday, Feb 21

Due: Sunday, Feb 25


Complete Problem Set 32 (Q6,7,8) and complete Q21abcd in Lab 04 on the Ambiguous Case of the Sine Law

Here are some videos that can help you understand and work through working with the sine law: VIDEO #1 from R> Parsons and VIDEO #2 from mathispower4u


After Problem Set 31

Assigned on Tuesday, Feb 20

Due: Thursday, Feb 22


Complete Problem Set 31 and you should have Q1 & Q7 in Problem Set 32 done from class. Complete Problem Set 32 (Q2,3,4,5,6,8)



After Problem Set 31

Assigned on Monday, Feb 19

Due: Wednesday, Feb 21


Complete Problem Set 31 and you should have Q1 done from Problem Set 32 done from class. As well, complete Q2,3,4,5 and we will complete PS 32 in class together as well as completing our discussion of Lab 04 on the Ambiguous Case of the Sine Law


After Lab 05

Assigned on Sunday, Feb 18

Due: Tuesday, Feb 20


(1) Complete Q9abcde and Q12 from Lab 05 as Q1,2,5cdf,7 should already be done

(2) Complete Problem Set 31



After Lab 05

Assigned on Thursday, Feb 15

Due: Monday, Feb 19


(1) Complete Q9abcde and Q12 from Lab 05 as Q1,2,5cdf,7 should already be done

(2) From Problem Set 31, complete Q1,2,3,4 and 7. Also, please have all Problem Sets from 25 - 30 checked by me, as I am updating skyward on the weekend.


After Assessment 5

Assigned on Wednesday, Feb 14

Due: Sunday, Feb 18


From Problem Set 31, complete Q1,2,3,4 and 7. Also, please have all Problem Sets from 25 - 30 checked by me, as I am updating skyward on the weekend.


After Assessment 5

Assigned on Tuesday, Feb 13

Due: Thursday, Feb 15


From Problem Set 31, complete Q1,2,3,4 and 7. Also, please have all Problem Sets from 25 - 30 checked by me, as I am updating skyward on the weekend.


After Lab 04

Assigned on Monday, Feb 12

Due: Wednesday, Feb 14


Continue studying for Assessment 5


After Lab 04

Assigned on Sunday, Feb 11

Due: Tuesday, Feb 13


Continue studying for Assessment 5


After Day 1 on PS 30

Assigned on Thursday, Feb 8

Due: Monday, Feb 12


Complete all of Problem Set 30 (except Q2), and start studying for Assessment 5. In my HW check on Sunday, I will ask to see some test prep!!!! We will do Lab 04 in class on Monday


After Day 1 on PS 30

Assigned on Wednesday, Feb 7

Due: Sunday, Feb 11


Complete all of Problem Set 30 (except Q2), and start studying for Assessment 5. In my HW check on Sunday, I will ask to see some test prep!!!! We will do Lab 04 in class on Sunday


After Day 1 on PS 29

Assigned on Tuesday, Feb 6

Due: Thursday, Feb 8


From Problem Set 29, complete Q7,8 and then from Problem Set 30, complete Q1,3,5,6,7


After Day 1 on PS 29

Assigned on Monday, Feb 5

Due: Wednesday, Feb 7


From Problem Set 29, complete Q7,8 and then from Problem Set 30, complete Q1,3,5,6,7


After Day 2 on PS 28

Assigned on Sunday, Feb 4

Due: Tuesday, Feb 6


Q7 and 8 from PS 29 are now complete, so from Problem Set 29, complete Q1,3,5,6 and then from Cirrito, Ex 9.5.1 on p292, Q2,3,4,5,6,7



After Day 2 on PS 28

Assigned on Thursday, Feb 1

Due: Monday, Feb 5


From Problem Set 29, complete Q1,3,5,6 and then from Cirrito, Ex 9.5.1 on p292, Q2,3,4,5,6,7


After Day 1 on PS 28

Assigned on Wednesday, Jan 31

Due: Sunday, Feb 4


Complete Problem Set 28. You should have Q2,3 and 6 done based upon our class work today.


After Day 1 on PS 28

Assigned on Tuesday, Jan 30

Due: Thursday, Feb 1


Complete Problem Set 28. You should have Q2,3,4 done based upon our class work today .....


After Day 2 on PS 27

Assigned on Monday, Jan 29

Due: Wednesday, Jan 31


(1) Have PS27 completely done (as well as PS26 and PS25)

(2) To help preview for PS28, in Cirrito 10.2.2, p335, Q2,6ab,7a and then Cirrito 16.3, p548, Q1,2

(3) Feel free to start PS28 ...... Q1 and Q8 should be easy .....


After Day 2 on PS 27

Assigned on Sunday, Jan 28

Due: Tuesday, Jan 30


(1) Have PS27 completely done (as well as PS26 and PS25)

(2) To help preview for PS28, in Cirrito 10.2.2, p335, Q2,6ab,7a and then Cirrito 16.3, p548, Q1,2

(3) You should also continue thinking about the LAB 03 write-up for Q7F - due Tuesday, Jan 30


After Day 1 on PS 27

Assigned on Wednesday, Jan 24

Due: Monday, Jan 29


(1) From PS27, have Q4,7,8 done. You should try 6 (start by looking at Cirrito examples)

(2) To help prepare for our discussion of vector equations of lines (and get help for Q7,8), go to Cirrito 12.7.1 and see Ex 12.25 and 12.26 on p446. Likewise, for help for Q7,8 and vector equations on lines, please go to the following GEOGEBRA links and PLAY!!!! ==> Geogebra LINK #1 and here is Geogebra LINK #2

(3) You should also start thinking about the LAB 03 write-up for Q7F - due Monday next week (Jan 29)



After Day 1 on PS 27

Assigned on Tuesday, Jan 23

Due: Sunday, Jan 28


(1) From PS26, have all 8 Qs done

(2) From PS27, have Q1,2,3,5 done

(3) To help review from our discussion of Cirrito 12.7.1, p450, Q1,2ab,3a (but see Ex 12.25 and 12.26 on p446 first) and vector equations on lines, please revisit the following GEOGEBRA links and PLAY!!!! ==> Geogebra LINK #1 and here is Geogebra LINK #2

You should also start thinking about the LAB 03 write-up for Q7F - due Tuesday next week (Jan 30)


After Day 2 on PS 26 & Lab 03

Assigned on Monday, Jan 22

Due: Wednesday, Jan 24


(1) From PS26, have all 8 Qs done

(2) From PS27, have Q1,2,3,5 done

(3) To help prepare for our discussion of Cirrito 12.7.1, p450, Q1,2ab,3a (but see Ex 12.25 and 12.26 on p446 first) and vector equations on lines, please go to the following GEOGEBRA links and PLAY!!!! ==> Geogebra LINK #1 and here is Geogebra LINK #2

You should also start thinking about the LAB 03 write-up for Q7F - due Monday next week (Jan 29)



After Day 2 on PS 26 & Lab 03

Assigned on Tuesday, Jan 23

Due: Sunday, Jan 29


(1) From PS26, have all 8 Qs done

(2) From PS27, have Q1,2,3,5 done

(3) To help review from our discussion of Cirrito 12.7.1, p450, Q1,2ab,3a (but see Ex 12.25 and 12.26 on p446 first) and vector equations on lines, please revisit the following GEOGEBRA links and PLAY!!!! ==> Geogebra LINK #1 and here is Geogebra LINK #2

You should also start thinking about the LAB 03 write-up for Q7F - due Tuesday next week (Jan 30)


After PS 26

Assigned on Thursday, Jan 18

Due: Monday, Jan 22


From PS26, have Q1-6 completed. We will do Q7 & 8 together, although you are free to work through them on your own

From Cirrito:

C12.4, p427, Q1i, ii

C12.5, p431, Q1ii,iii, Q2iii

C12.7.1, p450, Q1,2ab,3a (but see Ex 12.25 and 12.26 on p446 first)



After PS 26

Assigned on Sunday, Jan 21

Due: Tuesday, Jan 23


From PS26, have Q1-6 completed. We will do Q7 & 8 together, although you are free to work through them on your own

From Cirrito:

C12.4, p427, Q1i, ii

C12.5, p431, Q1ii,iii, Q2iii

C12.7.1, p450, Q1,2ab,3a (but see Ex 12.25 and 12.26 on p446 first)


After Lab 03

Assigned on Tuesday, Jan 16

Due: Thursday, Jan 18


Please complete Problem Set 25 complete all remaining questions (Q9,11-14). Come and ask and get help if there are questions/problems that you have

PART 2 of your HW assignment ==> (a) From Cirrito 10.3 on page 348, Q1c, 3cg, 4ef; (b) from Cirrito 2.4.1 on page 43, Q1bcef and (c) from Cirrito 2.4.2 on page 50, Q5,6,7

PART 3 of your HW assignment ==> From Lab 03, have answers prepared for Q7BCE (you should already have answers for 7BC from the first class we had on LAB 03)



After Lab 03

Assigned on Wednesday, Jan 17

Due: Sunday, Jan 21


PART 1 of your HW assignment ==> (a) From Cirrito 10.3 on page 348, Q1c, 3cg, 4ef; (b) from Cirrito 2.4.1 on page 43, Q1bcef and (c) from Cirrito 2.4.2 on page 50, Q5,6,7

PART 2 of your HW assignment ==> From Lab 03, have answers prepared for Q7E (you should already have answers for 7BC from the first class we had on LAB 03 ...... if not, do them now)


After Problem Set 25

Assigned on Sunday, Jan 14

Due: Tuesday, Jan 16


From Problem Set 25 complete all remaining questions (Q9,11-14)



After Problem Set 25

Assigned on Monday, Jan 16

Due: Wednesday, Jan 17


From Problem Set 25 complete all remaining questions (Q9,11-14)


After Problem Set 23

Assigned on Sunday, Dec 3

Due: Tuesday, Dec 5


From Problem Set 24 complete all remaining questions.



After Problem Set 23

Assigned on Monday, Dec 4

Due: Wednesday, Dec 6


From Problem Set 24 complete all remaining questions.


After Problem Set 22

Assigned on Tuesday, Nov 28

Due: Sunday, Dec 3


From Problem Set 23 complete all remaining questions.



After Problem Set 22

Assigned on Wednesday, Nov 29

Due: Monday, Dec 4


From Problem Set 23 complete all remaining questions.


After Problem Set 21

Assigned on Sunday, Nov 26

Due: Tuesday, Nov 28


From Problem Set 22 complete all remaining questions.



After Problem Set 21

Assigned on Monday, Nov 27

Due: Wednesday, Nov 29


From Problem Set 22 complete all remaining questions.


After Problem Set 20

Assigned on Tuesday, Nov 21

Due: Sunday, Nov 26


From Problem Set 21 complete all remaining questions.



After Problem Set 20

Assigned on Wednesday, Nov 22

Due: Monday, Nov 27


From Problem Set 21 complete all remaining questions.


After Problem Set 19

Assigned on Sunday, Nov 19

Due: Tuesday, Nov 21


From Problem Set 20 complete all remaining questions.



After Problem Set 19

Assigned on Monday, Nov 20

Due: Wednesday, Nov 22


From Problem Set 20 complete all remaining questions.


After LAB 2 Writing Session

Assigned on Wednesday, Nov 15

Due: Sunday, Nov 19


Complete your written report for LAB 2, Q5

Also, make sure you have Problem Set 19 completed.



After LAB 2 Writing Session

Assigned on Thursday, Nov 16

Due: Monday, Nov 20


Complete your written report for LAB 2, Q5

Also, make sure you have Problem Set 19 completed.



After ASSESSMENT #3

Assigned on Monday, Nov 13

Due: Wednesday, Nov 15


Have LAB 2, Q5 completed, as you will have a WRITING ASSIGNMENT (open book, hence you MUST have a solution to Q5) to do in class on Wednesday, based upon your answers to Q5 in Lab 2. Here is a link to the outline of the WRITING ASSIGNMENT

Also, make sure you have Problem Set 19 completed.



After ASSESSMENT #3

Assigned on Tuesday, Nov 14

Due: Thursday, Nov 16


Have LAB 2, Q5 completed, as you will have a WRITING ASSIGNMENT (open book, hence you MUST have a solution to Q5) to do in class on Wednesday, based upon your answers to Q5 in Lab 2. Here is a link to the outline of the WRITING ASSIGNMENT

Also, make sure you have Problem Set 19 completed.



After Problem Set 19

Assigned on Thursday, Nov 9

Due: Monday, Nov 13


From Problem Set 19 complete all remaining questions.



After Problem Set 18

Assigned on Wednesday, Nov 8

Due: Monday, Nov 12


From Problem Set 18 complete all remaining questions.


After Problem Set 18

Assigned on Tuesday, Nov 7

Due: Thursday, Nov 9


From Problem Set 18 complete all remaining questions.



After Problem Set 18

Assigned on Wednesday, Nov 8

Due: Monday, Nov 12


From Problem Set 18 complete all remaining questions.


After Problem Set 17

Assigned on Sunday, Nov 5

Due: Tuesday, Nov 7


From Problem Set 17 complete all remaining questions.



After Problem Set 17

Assigned on Monday, Nov 6

Due: Wednesday, Nov 8


From Problem Set 17 complete all remaining questions.



After Problem Set 16

Assigned on Wednesday, Nov 1

Due: Sunday, Nov 5


From Problem Set 16 complete all remaining questions.



After Problem Set 16

Assigned on Thursday, Nov 2

Due: Monday, Nov 6


From Problem Set 16 complete all remaining questions.



After Problem Set 15

Assigned on Monday, Oct 30

Due: Wednesday, Nov 1


From Problem Set 15 complete all remaining questions.



After Problem Set 15

Assigned on Tuesday, Oct 31

Due: Thursday, Nov 2


From Problem Set 15 complete all remaining questions.


After DAY 2 on Lab 2

Assigned on Thursday, Oct 26

Due: Monday, Oct 30


From Lab 02 complete Q5 from PART B. You MUST have 2 "medication plans" set up, that will run for 3-4 days. Make sure you have calculations that support your plan. Remember that this LAB will be turned into WRITING ASSIGNMENT within the next week, so please do the work!!



After DAY 2 on Lab 2

Assigned on Sunday, Oct 29

Due: Tuesday, Oct 31


From Lab 02 complete Q5 from PART B. You MUST have 2 "medication plans" set up, that will run for 3-4 days. Make sure you have calculations that support your plan. Remember that this LAB will be turned into WRITING ASSIGNMENT within the next week, so please do the work!!


After Lab 2

Assigned on Monday, Oct 23

Due: Thursday, Oct 26


From Lab 02 complete Q1,2,3,4 from PART A - The Basics. READ Questions 5 and 6



After Problem Set 14

Assigned on Wednesday, Oct 25

Due: Sunday, Oct 29


From Lab 02 complete Q1,2,3,4 from PART A - The Basics. READ Questions 5 and 6


After Problem Set 14

Assigned on Thursday, Oct 19

Due: Monday, Oct 23


From Problem Set 14 complete all remaining questions.



After Problem Set 14

Assigned on Sunday, Oct 22

Due: Wednesday, Oct 25


From Problem Set 14 complete all remaining questions.


After Problem Set 13

Assigned on Sunday, Oct 15

Due: Tuesday, Oct 17


From Problem Set 13 complete Q2,3,5,8,9. We will finish Q7 together in class



After Problem Set 13

Assigned on Monday, Oct 16

Due: Sunday, Oct 22


From Problem Set 13 complete all remaining questions. Please remember that you MUST have a TEST PREP done and ready to show me for next class (as you have an assessment next class!!!!)



After Problem Set 12

Assigned on Tuesday, Oct 3

Due: Thursday, Oct 5


First, from Problem Set 12 complete Q1,2,3,4,6,7. We will do Q5 & 8 together in class



After Problem Set 12

Assigned on Wednesday, Oct 4

Due: Monday, Oct 16


First, from Problem Set 12 complete ALL QUESTIONS


After Problem Set 11

Assigned on Sunday, Oct 1

Due: Tuesday, Oct 3


First, from Problem Set 11 complete ALL QUESTIONS



After Problem Set 11

Assigned on Monday, Oct 2

Due: Wednesday, Oct 4


First, from Problem Set 11 complete ALL QUESTIONS


After Problem Set 10

Assigned on Wednesday, Sept 27

Due: Sunday, Oct 1


First, from Problem Set 10 complete ALL QUESTIONS

Second, have PART 4 of LAB 1 done, as have had a discussion about HOW to analyze the new data. You do NOT need to do a 5 number summary each time, but you do need to find an appropriate statistical measure with which to perform your analysis in PART 4



After Problem Set 10

Assigned on Thursday, Sept 28

Due: Monday, Oct 2


First, from Problem Set 10 complete all questions


After Problem Set 9

Assigned on Monday, Sept 25

Due: Wednesday, Sep 27


First, from Problem Set 9 complete ALL QUESTIONS

Second, Have PARTS 1 and 2 done. You should have all the statistical data analysis done as well as the histograms & BW plots and you should be in a position to tell me who the best thrower is and why. We will DISCUSS Part 4 (which you will do on your own later).



After Problem Set 9

Assigned on Tuesday, Sept 26

Due: Thursday, Sep 28


First, from Problem Set 10 complete Q2,3,5,6

Second, have PART 4 of LAB 1 done, as have had a discussion about HOW to analyze the new data. You do NOT need to do a 5 number summary each time, but you do need to find an appropriate statistical measure with which to perform your analysis in PART 4


After Lab 1

Assigned on Wednesday, Sept 20

Due: Monday, Sep 25


FIRST, Have PARTS 1 and 2 done. You should have all the statistical data analysis done as well as the histograms & BW plots and you should be in a position to tell me who the best thrower is and why. We will DISCUSS Part 4 (which you will do on your own later).

SECOND, From Problem Set 9 complete Q1 - 5



After Lab 1

Assigned on Sunday, Sept 24

Due: Tuesday, Sep 26


FIRST, Have PARTS 1 and 2 done. You should have all the statistical data analysis done as well as the histograms & BW plots and you should be in a position to tell me who the best thrower is and why. We will DISCUSS Part 4 (which you will do on your own later).

SECOND, From Problem Set 9 complete Q1 - 5


After our discussion on Problem Set 8

Assigned on Monday, Sept 18

Due: Wednesday, Sep 20


Consolidate any questions & concepts from Problem Set 7 as well as Problem Set 8. If you think you are OK with these Problem Sets, revisit PS 2 - PS 5 and prepare for Tuesday's re-test

We will do Lab 1 in class together in our next class, so no need to work on it prior to class



After our discussion on Problem Set 8

Assigned on Tuesday, Sept 19

Due: Sunday, Sep 24


Consolidate any questions & concepts from Problem Set 7 as well as Problem Set 8.

We will do Lab 1 in class together in our next class, so no need to work on it prior to class


For Problem Set 8

Assigned on Thursday, Sept 14

Due: Monday, Sep 18


From Problem Set 8 complete ALL QUESTIONS



For Problem Set 8

Assigned on Sunday, Sept 17

Due: Tuesday, Sep 19


From Problem Set 8 complete ALL QUESTIONS




After today's lesson working through Problem Set 7

Assigned on Tuesday, Sept 12

Due: Thursday, Sep 14


From Problem Set 7 complete ALL QUESTIONS



After today's lesson working through Problem Set 7

Assigned on Wednesday, Sept 13

Due: Sunday, Sep 17


From Problem Set 7 complete ALL QUESTIONS




For Problem Set 7

Assigned on Sunday, Sept 10

Due: Tuesday, Sep 12


From Problem Set 7 complete Q1 - 5



For Problem Set 7

Assigned on Monday, Sept 11

Due: Wednesday, Sep 13


From Problem Set 7 complete Q1 - 5



For TEST PREP for next class

Assigned on Wednesday, Sep 6

Due: Sunday, Sep 10


At this point, all questions in Problem Sets 1 - 6 should have been done - or at least attempted and reviewed, given our class solutions). Go back and revisit any questions that you had difficulty with earlier and make sure you understand them and can do them on your own

I emailed each of you with a link to a Review Set: called SL1 Review Suggestions for Assessment 1. These are questions from the Oxford textbook that I would strongly advise you be able to work through!! I will REQUIRE that you hand in a TEST PREP, wherein you show me what you have done to prepare/study for this assessment

REVIEW SESSION on Saturday, Sep 9 from 2pm to 5pm



For TEST PREP for next class

Assigned on Thursday, Sep 7

Due: Monday, Sep 11


At this point, all questions in Problem Sets 1 - 6 should have been done - or at least attempted and reviewed, given our class solutions). Go back and revisit any questions that you had difficulty with earlier and make sure you understand them and can do them on your own

I emailed each of you with a link to a Review Set: called SL1 Review Suggestions for Assessment 1. These are questions from the Oxford textbook that I would strongly advise you be able to work through!! I will REQUIRE that you hand in a TEST PREP, wherein you show me what you have done to prepare/study for this assessment

REVIEW SESSION on Saturday, Sep 9 from 2pm to 5pm


For Problem Set 6

Assigned on Wednesday, Aug 30

Due: Wednesday, Sep 6


From Problem Set 6 complete ALL questions



For Problem Set 6

Assigned on Wednesday, Sep 5

Due: Thursday, Sep 7


From Problem Set 6 complete ALL questions




For Problem Set 5

Assigned on Monday, Aug 28

Due: Wednesday, Aug 30


From Problem Set 5 complete all 7 Short Answer questions in Section A



For Problem Set 5

Assigned on Tuesday, Aug 29

Due: Tuesday, Sep 5


From Problem Set 5 complete all 7 Short Answer questions in Section A



For Problem Set 4

Assigned on Thursday, Aug 24

Due: Monday, Aug 28


From Problem Set 4 complete all 7 questions



For Problem Set 4

Assigned on Sunday, Aug 27

Due: Tuesday, Aug 29


From Problem Set 4 complete all 7 questions



For Problem Set 3

Assigned on Tuesday, Aug 22

Due: Thursday, Aug 24


From Problem Set 3 complete Q2,3,4.



For Problem Set 3

Assigned on Wednesday, Aug 23

Due: Sunday, Aug 27


From Problem Set 3 complete Q2,3,4



For Problem Set 2

Assigned on Sunday, Aug 20

Due: Tuesday, Aug 22


From Problem Set 2 complete Q4,5, 6 and 7. You WILL show me a complete PS 01 in Tuesday's class!!!



For Problem Set 2

Assigned on Monday, Aug 21

Due: Wednesday, Aug 23


From Problem Set 2 complete Q4,5, 6 and 7. You WILL show me a complete PS 01 in Tuesday's class!!!



For Problem Set 1

Assigned on Wednesday, Aug 16

Due: Sunday, Aug 20


From Problem Set 1 complete Q4,5 and 6.



From Problem Set 1

Assigned on Thursday, Aug 17

Due: Monday, Aug 21


From Problem Set 1 complete Q4,5 and 6.