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

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

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

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

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

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

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:

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.

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

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 26/5Last Quiz:Linear Regression and Chi-Squared Test (THURSDAY 15/5)AssignmentsWeekAssignedDueAssignmentInternal 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

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

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

Due Friday

Expect a Quiz Tuesday on this material.She Loves Math site to help you find information needed on assignment of Parent Functions

Learning Targetsfor 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?

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)

QUIZ THURSDAYon Linear Regression and Chi-Squared TestLearning 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

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.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

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

20/2: Exercises

◦ 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")

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

7F #2,3

7G.1 #1,3

7G.2 #2

7G.3 #2,3

7H #3,4,6

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

QUIZ TUESDAYNotes from Quadratic Functions and Homework inside (Do all problems on pages 10,11,12)

Do these for homework/in class: Solving Quadratic Equations with the Quadratic Formula

Exercises 9G.1 #2hkl, 9G.2 2ajkl, 3ajkl, 4def, 5ace, 6adgh, 9H #1afgh, #2all

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.

TUESDAYCOMPLETE REVIEW SET 8B for Thursday (Selected Solutions from Class Thursday - #3,4,7,9-11)

REVIEW SET 8A for TUESDAY)5J Be able to solve exponential equations by hand (5J.1) and with technology (5J.2)

5D, 5E choose 7, 5F choose 6, 5G.1, 5G.2 #1-4

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

Finite Geometric Series, Arithmetic and Geometric Means Worksheets

4/10/13

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

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

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?

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

Exercises 2A.1 and 2A.2

Presumed Knowledge Workbook