Welcome to "Mathematical studies SL Year 1" for the 11th grade.
Email: mrjonathan@lapazschool.org


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Calculator Suggestions
Calculator Minimum Requirements
IB Mission Statement
IB Diploma Program
IB Group 5 Aims
Mathematical studies SL formula booklet
Mathematical studies Subject Guide
Writing with mathematics

Mr. Jonathan's Classroom Schedule

Next Quiz: Functions, Domain, Range 26/5
Last Quiz: Linear Regression and Chi-Squared Test (THURSDAY 15/5)

Assignments
Week
Assigned
Due
Assignment
38
8/7
1/9
SUMMER ASSIGNMENT:
Internal Assessment Project Ideas: For 1st day of school, bring your topic and what data you will collect (how will you collect it?)
More Ideas
Math Studies Project Rubric

Take-home exam due the first day of school
36
27/6
1/7
Learning Targets:
Use the law of cosines to solve triangles a^2=b^2+c^2-2bccosA
Find the areas of non-right triangles using area=1/2absinC
36
23/6
26/6
Learning Targets:
Solve word problems using trigonometry
Solve 3-Dimensional shapes using trigonometry
Complete 13C.2 #1-5 for
13C.3 #6,7
13D #1-4, 7-8, 10-13
34
10/6
19/6
Please complete the Investigation on p591 of our textbook (on continuous compounding interest and complete review sets 19A and 19B to be handed in at the beginning of class on Thursday, June 19th (this will be graded, so neatness counts, and show all your work).
33
3/6
6/6
Assignment on exponential graphs/functions and their behavior
Due Friday
31
22/5
26/5
Watch the Udacity Lesson 17 on Functions (Lesson 17 Practice) and Lesson 18 on Domain and Range(Lesson 18 Practice). Do the practice exercises contained on the Web site.
Expect a Quiz Tuesday on this material.
31
20/5
22/5
Textbook: 10A #1-4 10B #1-13
She Loves Math site to help you find information needed on assignment of Parent Functions
Learning Targets for Tuesday:
Identify a Relation
Identify Domain
Identify Range
Identify a Function (using Vertical Line Test)
Use Function Notation to evaluate a function of x.

Udacity Lessons on Domain and Range
Introduction to Functions (Khan Academy)

For review, what is is function? what is a parent function?
30
16/5
20/5
Learning Targets:
Define relation, function, domain, range
For each of the Parent Functions listed below, find
a) domain
b) range
c) symmetry
d) any asymptotic behavior
e) extreme behavior or end behavior (what happens as x goes to infinity and what happens as x goes to negative infinity)
f) draw the graph
g) what does it model in the world (how do we as humans use each of these functions, give at least one example of each)
h) find the inverse (if the function has one)


Parent Functions for evaluation:
1. Linear Function y=x
2. Quadratic Function y=x^2
3. Cubic Function y=x^3
4. Square Root Function y=x^.5 or y=sqrt(x)
5. Exponential Function y=2^x or y=10^x or y=e^x
6. Sinusoidal Function y=sin(x)
7. Cosine Function y=cos(x)
8. Tangent Function y=tan(x)
9. Absolute Value Function y=|x|
10. Integer Function or Step Function y=[x]
11. The Reciprocal Function y=1/x
*NEW 12. The Constant Function y=c
*BONUS 13. The Cubed Root Function y=x^(1/3)
30
13/5
15/5
More Practice with the chi-squared test (Problem Set given in class) Due Thursday
QUIZ THURSDAY on Linear Regression and Chi-Squared Test
29
6/5
8/5
Learning Targets:
  • Identify and write null hypothesis
  • Identify and write alternative hypothesis
  • Calculate using GDC the chi-squared statistic given a table of frequencies
  • Determine the p-value using your GDC
  • Determine the critical value (given in exams)
  • Compare p-value against significance level
  • Compare chi-squared against significance value
Read through this web site on the chi-squared test for an excellent explanation and examples of what this all means!
The powerpoint from class on chi-squared
Assignment: Problem Set due Thursday
28
29/4
2/5
Learning Targets:
Find equation of linear regression using GDC
Find line of best fit by hand
Complete S-41 worksheet. Complete 20D.1 #1-5 in Text.
27
24/4

S-40 and S-41 worksheets on Scatter Diagrams and Correlation, the Correlation Formula and Regression
27
22/4
24/4
Learning Targets: Identify positive, negative, no correlation
Identify strong, moderate, weak correlation
Identify outliers on graph
Draw scatter graph from data
Describe relationship between variables
Evaluate Pearson's Correlation Coefficient
Use calculator to calculate r and r^2
homework 20A #1-5 20B.1 #1-6 20B.2 #1-4




24

13-14/3
Logic Quiz and Solutions Markscheme
23
7/3
11/3
Read pp 548-549 10F and complete exercises #1,6
23
6/3
7/3
Logic IB Questions: Assignment due Friday
23
4/3
6/3
Notes from today's class. Exercise: 17D pp 544-545 #3, 4aceg, 5a, 7 17E pp 546-548 #1bd, 3ace
22
28/2
4/3
Notes from Class
Logic: Oxford Textbook
Take notes on Logical equivalence, tautologies and contradictions and Compound statements made up from section 9.6 and 9.7 (from Oxford Textbook)
From Harris & Haese:
17C.1, pg540-541#1abcd, 2bcd, 3a,b, 4def, 6b, 7ab, 9
17C.2, pg542 #1,4, 5b, 6ab
22
25/2
27/2
Logic: PDF of the PowerPoint we reviewed today. Homework assignment: 17A.1 #1,2,4,5 (eol), 17B.1 #1,2 (eol), 17B.2 #1ac, 2ad, 3a, 6ace, 7aeg, 11
21
21/2

Venn Diagram Quiz and MARKSCHEME
20
13/2
18/2: Tutorials and Textbook Exercises
20/2: Exercises
◦ Complete tutorial: http://www.mathsisfun.com/sets/venn-diagrams.html
◦ Complete tutorial: http://www.mathsisfun.com/sets/sets-introduction.html
◦ Complete tutorial: http://www.mathsisfun.com/sets/set-builder-notation.html
-Complete tutorial: http://www.mathsisfun.com/activity/subsets.html
◦ New Elementary Classroom Syllabus D 3B Class Activity 1 pp 62-64 #2-8 all, #9-12 choose at least 2
◦ New Elementary Classroom Syllabus D 3B Exercise: 11.1 p 67 -69 #1-20 (choose at least 13)
◦ New Elementary Classroom Syllabus D 3B Exercise 11.2 #1-14 choose at least 8

+1 Challenges (Going for a "4")
20
11/2
13/2
Review Set 3A and 3B for Thursday PDF Notes on Sets and Venn DIagrams
19
7/2
11/2
Venn DIagram Problem Set Due Tuesday - AND Solutions POSTED
19
2/2
5/2
Sign up for an account at www.udacity.com and enroll in Intro to Statistics and Statistics by Wednesday, February 5. Forward the confirmation email you receive to mrjonathan@lapazschool.org.
18
28/1

Please download these to your computer or print out and keep: Logic Notes Also complete Exercise 17B.1 #1-3 from the Haese & Harris Textbook.
17
23/1
24/1
Read the Objectives of Chapter 9 Logic and complete the "Before you start" Skills check
16
17/1
21/1
Complete Statistics Packet (Quiz Tuesday on Descriptive Statistics)
16
16/1
17/1
pp 239 7J.1 #2 and 7J.2 #1
Use GDC to calculate Standard Deviation using graphing Calculator (page 28 in text for TI calculators)
Use GDC to produce histograms and box-and-whisker diagrams
Use mid-interval values of grouped data to estimate standard deviation
Khan Academy on Measures of Dispersion: Variance and Standard Deviation
16
14/1
16/1
Define: range, interquartile range, upper quartile, lower quartile, standard deviation, five-number summary, box-whisker plot, percentile
7F #2,3
7G.1 #1,3
7G.2 #2
7G.3 #2,3
7H #3,4,6
15
10/1/14
14/1/14
Quantitative Continuous Data:
Define theses: Class intervals, frequency histogram, modal class, spread/dispersion, central tendency, mean, median, mode, bimodal, outliers, mid-interval value (midpoint)
7D #1,3 7E.1 #1,5,11-14, Investigation 3, 7E.2 #3, 7E.3 #4 7E.4 #1,2,6
15
9/1/14
10/1/14
Stem and Leaf Plots: 7C #6 and Investigation
15
7/1/14
9/1/14
Define bold-faced words on pages 198-203. Complete Exercises 7A #1,2 and 7B #1-5




13
29/11/13
3/12/13
QUIZ TUESDAY
Notes from Quadratic Functions and Homework inside (Do all problems on pages 10,11,12)
13
28/11/13
29/11/13
11_Math_hw_quadratics_28-11.png
12
21/11/13
22/11/13
Do this IB Exam question for homework.
11_Math_2013-11-21-Quadratic Homework.png
12
19/11/13
21/11/13
Solve using the quadratic formula: x^2-14x+7=0. Check your answer.
11
15/11/13
19/11/13
Do these exercises in class: Radicals 1, Radicals 2
Do these for homework/in class: Solving Quadratic Equations with the Quadratic Formula
11
12/11/13
14/11/13
Read and understand the "Bomb Method" of factoring quadratic functions with a non-1 x^2 coefficient.
Exercises 9G.1 #2hkl, 9G.2 2ajkl, 3ajkl, 4def, 5ace, 6adgh, 9H #1afgh, #2all
10
8/11/13

Activity Sheet 1 on Quadratics
10
5/11/13
7/11/13
Read this article on "How to Develop a Mindset for Math" and write a response/reaction of your thoughts of 5-6 sentences by email. Also, read and review 9A, 9B, 9C for Thursday. Try these exercises on Khan Academy: (Make sure you are logged in to earn credit for this assignment)
https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-special-products/e/factoring_difference_of_squares_1
https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-special-products/e/factoring_difference_of_squares_2
https://www.khanacademy.org/math/algebra/multiplying-factoring-expression/factoring-special-products/e/factoring_difference_of_squares_3

If you are unable to complete these exercises, you may need to review the text or watch the relevant videos on khanacademy.org.
9
29/10/13
31/10/13
QUIZ TUESDAY
COMPLETE REVIEW SET 8B for Thursday (Selected Solutions from Class Thursday - #3,4,7,9-11)
8
25/10/13
29/10/13
Review of Distance Formula, Midpoint Formula, Finding Gradient (or Slope), Vertical and Horizontal lines, Finding the Equation of a line, Graphing Lines, Perpendicular bisectors (need midpoint and perpendicular slope), Rates, Graphing Lines by hand (REVIEW SET 8A for TUESDAY)
8
24/10/13
in class
5H.1, 5H.2, 5H.3 Solving Linear Simultaneous Equations by hand with Substitution, Elimination, Graphing and with Technology (Solver or graphically in calculator)
5J Be able to solve exponential equations by hand (5J.1) and with technology (5J.2)
8
22/10/13

Linear Equations using technology and rearranging equations.
5D, 5E choose 7, 5F choose 6, 5G.1, 5G.2 #1-4
7
18/10/13
22/10/13
Linear Algebra Chapter 5 5B.1 #2, 5B.2 #2gi, 3abc 5B.3 #1all 5C #2afghi, 3, 4ghi
7
15/10/13
18/10/13

6
8/10/13
10/10/13
Arithmetic Series Worksheet
In Class: Applications of Arithmetic and Geometric Sequences and Series with Money/Finance.
Exercises for Thursday: 14E.1 #1c,2b, 14E.2 #4,5, 14E.3 #2, 14E.4 #1ab, 5, 14F.1 #1,2,3, 14F.2 #2d, 3c, 8,12
Arithmetic Series Worksheet with Answers
Arithmetic and Geometric Means Worksheet with Answers
5
4/10/13
8/10/13
Read one article from Plus Magazine and write a 150 word reflection on it.
Finite Geometric Series, Arithmetic and Geometric Means Worksheets
5
3/10

In Class: Collected Take Home Exam, Sequence Twisters Partner Activity
5
1/10/13
Friday
4/10/13
Watch these videos:
Solving multi step equations3 min
Exercise solving rational equations
Video: Rational Equations - Solving4 min
Video: Rational Equations - Solving (variable in denominator)4 min
Video: Solving Rational Equations with quadratics5 min
4
27/9/13
3/10/13
Chapter 1 and 2 Take Home Exam: Due Thursday, October 3.
In class: Arithmetic and Geometric Mean, Explicit and Recursive Equations, Geometric Sequences. Exercises 14B #2,4, 14C #5,7,8, 14D #6,7,9,10
4
26/9/13

Questions to consider regarding arithmetic sequences...
How do I:
...recognize an arithmetic sequence?
...find the general relationship/equation of an arithmetic sequence?
...know if a given number is part of a given sequence?
4
24/9/13
26/9/13
Make sure to review the Significant Figures and Rounding below. For Thursday, complete all problems in 2G and 2H (Accuracy or Measurements and Error & Percentage Error)
3
18/9/13
23/9/13
Chapter 2BCDEF: Review these Chapter 2 Notes and this page on Significant Figures and Rounding
Exercises 2B #3,4,5,7challenge; 2C #1,2,3acf,4gh,5ad,6 (for a,d from 5), 2D #1,2,3,4ef, 5,6; 2E.1 #1JL, 2ef,3fg,4e; 2E.2#1 1st and 3rd column, #2 1st and 3rd col; 2E.3 #1-3,5,7,8,9,10; 2F.1 #4,5; 2F.2 choose at least 4
3
17/9/13
17/9/13
Measurements: Units of Time, Converting Time, Time Zones
Exercises 2A.1 and 2A.2
2
13/9/13
13/9/13
Order of Operations Review 1E.1 #3, 4d, 5, 6 and the following:
11-12_Math_Order of Operations.png
Presumed Knowledge Workbook
2
12/9/13
13/9/13
1C.2 1a, 2,3 1C.3 1efgh 1D 1bc, 2a, 3,4,7,8
2
10/9/13
12/9/13
Exercises: 1B.1 1c, 2def, 3def, 4def, 5, 6 ,8 1B.2 1,2 1C.1 1-7
1
6/9/13
9/9/13
Read the Mathematical studies SL Subject Guide. Complete Exercise 1A #1-11 (pp 47-48 in text).
1
5/9/13
6/9/13
Review calculator use guide in textbook, working through examples. Come prepared with questions for Friday to review in class. Students who have a calculator on loan, please get batteries tonight so you can do the work.
1
3/9/13
5/9/13
Sign up for khanacademy.org and add me as your coach. Download the textbook and put on your computer/device.