11+Math+Studies+SL

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

IB Mission Statement IB Diploma Program [|IB Group 5 Aims] Mathematical studies SL formula booklet [|Mathematical studies Subject Guide] Writing with mathematics




 * 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:

|| 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 || 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 || She Loves Math site to help you find information needed on assignment of Parent Functions Identify a Relation Identify Domain Identify Range Identify a Function (using Vertical Line Test) Use Function Notation to evaluate a function of x.
 * 36 || 27/6 || 1/7 || ** Learning Targets: **
 * 36 || 23/6 || 26/6 || ** Learning Targets: **
 * 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
 * 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
 * Learning Targets ** for Tuesday:

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

For review, [|what is is function]? what is a parent function? || 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)
 * 30 || 16/5 || 20/5 || ** Learning Targets: **

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) || Read through this web site on the chi-squared test for an excellent explanation and examples of what this all means! on chi-squared Assignment: due Thursday || Find equation of linear regression using GDC Find line of best fit by hand 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 || 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: [] ◦ Complete tutorial: [] ◦ Complete tutorial: [] -Complete tutorial: [] ◦ New Elementary Classroom Syllabus D 3B pp 62-64 #2-8 all, #9-12 choose at least 2 ◦ New Elementary Classroom Syllabus D 3B ◦ New Elementary Classroom Syllabus D 3B
 * 30 || 13/5 || 15/5 || More Practice with the chi-squared test ([[file:11_Math_IB_Studies-SL-chi-squared-set-2.pdf|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
 * 28 || 29/4 || 2/5 || ** Learning Targets: **
 * 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
 * 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 || [[file:11_Math_Notes_Chapter 17C.1 C.2 PowerPoint.pdf|Notes from Class]]
 * 22 || 28/2 || 4/3 || [[file:11_Math_Notes_Chapter 17C.1 C.2 PowerPoint.pdf|Notes from Class]]
 * 22 || 25/2 || 27/2 || Logic: [[file:11_Math-Logic-Chapter_17AB_PowerPoint.pdf|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 [[file:11 Math Quiz 2014-02-21 Venn Diagrams.pdf|Quiz]] and [[file:11 Math Quiz 2014-02-21 Venn Diagrams MARKSCHEME.pdf|MARKSCHEME]] ||
 * 20 || 13/2 || 18/2: Tutorials and Textbook Exercises

+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 || Notes from (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 || [] [] []
 * Any of the [[file:lapazcolegiowiki2012-2013/9_Math 11.2 Exercise and Challenge.pdf|Challenger Questions 1-6 on pages 77-78]] ||
 * 20 || 11/2 || 13/2 || Review Set 3A and 3B for Thursday [[file:11_Math - Chapter 3 PowerPoint- Sets and Venn Diagrams.pdf|PDF Notes on Sets and Venn DIagrams]] ||
 * 19 || 7/2 || 11/2 || [[file:11-Math-Problem-Set-Venn-Diagrams.pdf|Venn DIagram Problem Set Due Tuesday]] - [[file:11-Math-Problem-Set-Venn-Diagrams_Solutions.pdf|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: [[file:11_Math_Studies_Notes_Logic.pdf|Logic Notes]] Also complete Exercise 17B.1 #1-3 from the Haese & Harris Textbook. ||
 * 17 || 23/1 || 24/1 || Read the Objectives of [[file:11_Math_Logic_Textbook_Chapter_9-Oxford.pdf|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
 * 16 || 14/1 || 16/1 || Define: range, interquartile range, upper quartile, lower quartile, standard deviation, five-number summary, box-whisker plot, percentile
 * 15 || 10/1/14 || 14/1/14 || Quantitative Continuous Data:
 * 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 **
 * 13 || 29/11/13 || 3/12/13 || ** QUIZ TUESDAY **
 * 13 || 28/11/13 || 29/11/13 || [[image:11_Math_hw_quadratics_28-11.png width="348" height="331"]] ||
 * 12 || 21/11/13 || 22/11/13 || Do this IB Exam question for homework.
 * 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]
 * 11 || 12/11/13 || 14/11/13 || Read and understand the "[[file:9,10,11_Math_Factoring-with-Bomb-Method.pdf|Bomb Method]]" of factoring quadratic functions with a non-1 x^2 coefficient.
 * 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)

If you are unable to complete these exercises, you may need to review the text or watch the relevant videos on khanacademy.org. || COMPLETE REVIEW SET 8B for Thursday ( - #3,4,7,9-11) || 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 || 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 || 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 || ||
 * 9 || 29/10/13 || 31/10/13 || QUIZ //**TUESDAY**//
 * 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)
 * 8 || 22/10/13 ||  || Linear Equations using technology and rearranging equations.
 * 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 || [[file:11_Math-Studies-Series-Sequences-Problem-set1.pdf]] ||
 * 6 || 8/10/13 || 10/10/13 || Arithmetic Series Worksheet
 * 5 || 4/10/13 || 8/10/13 || Read one article from [|Plus Magazine] and write a 150 word reflection on it.
 * 5 || 3/10 ||  || In Class: Collected Take Home Exam, [[file:11_Math-Pair-Share-Sequences-Series.pdf|Sequence Twisters Partner Activity]] ||
 * 5 || 1/10/13 || Friday
 * 4 || 27/9/13 || 3/10/13 || [[file:11_Math_Studies-Take-Home-Exam-Chapter-1-2.pdf|Chapter 1 and 2 Take Home Exam]]: Due Thursday, October 3.
 * 4 || 26/9/13 ||  || Questions to consider regarding arithmetic sequences...
 * 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 [[file:11-12_Math-Chapter2BCDEFclass.pdf|Chapter 2 Notes]] and this page on Significant Figures and Rounding
 * 3 || 17/9/13 || 17/9/13 || Measurements: Units of Time, Converting Time, Time Zones
 * 2 || 13/9/13 || 13/9/13 || Order of Operations Review 1E.1 #3, 4d, 5, 6 and the following:
 * 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. ||