IB Teacher Curriculum Review IB Math Applications Interpretation

IB Teacher Curriculum Review IB Math Applications & Interpretation (MAI) Presenter: Ana Zuniga azuniga@dadeschools. net Coral Gables Senior High School 305 -443 -4871 x 2385 MONDAY, NOVEMBER 4, 2019 RONALD W. REAGAN/DORAL SENIOR HIGH SCHOOL

Agenda 8: 30 a. m. Introductions and Reflection 8: 45 a. m. – 11: 20 a. m. Syllabus Changes 11: 20 a. m. – 11: 30 a. m. 2020 Census Video 11: 30 a. m. – 12: 30 p. m. Lunch 12: 30 p. m. – 2: 00 p. m. Tackling the IA (Internal Assessment) 2: 00 p. m. – 3: 30 p. m. Sharing of best practices/sample test questions

Introductions Name, school, are you teaching math studies, or the new applications and interpretation class (is it SL or HL), or both, and how many classes/students do you teach?

Reflection: Last Year’s Results What was your passing rate last year? Were your scores better or worse than you expected? How can you use your data feedback to drive instruction?

Share concerns about teaching the new curriculum. • Which of the courses to offer? • How to organize the students into these courses? • What’s the new content that needs to be taught? • What’s the best textbook to fit my students’ needs? • What type of college credit will they earn?

Curriculum Plan for IB Math Studies Curriculum: this is how I split the two years (1 st year is slower paced, focusing on how to do many of the calculations by hand, understanding the concepts vs. year 2 using the GDC to get their answers, focusing on writing in pen, using the graphing paper, answering questions to 3 sig figs), show them the book I use and the workbook that the students can purchase separately Year 1: Bell ringers are SAT/ACT style questions; Topics 1, 2, 4, 3, 5, 6 (IA Topic is approved) Year 2: Topics 1, 2, 4, (IA) 3, 5, 6, 7, Practice Tests

Math Applications and Interpretation vs. Math Analysis and Approaches § 60 hours of common content §MAI covers more content on statistics and functions §MAA covers more trigonometry and calculus §In the test: there are no common questions between MAA and MAI, but there are common questions between MAI SL and MAI HL

Syllabus Changes: What’s out? What’s in? • Turn to page 6 • Choose a topic. • Compare the IB Math Studies syllabus with the new Math Applications and Interpretation syllabus. • How are they the same? • How are they different?

Syllabus Changes: Topic 1 Number and Algebra - no more currency conversions - added sigma notation, 3 variable sigma notation, logarithms, amortization and annuities

Syllabus Changes: Topic 2 Functions - all of Topic 6 (mathematical models in IB Math Studies) is now in topic 2 - added direct, inverse and piecewise linear functions - cubic, sinusodial (no phase shift) - create, fit and use models - students must stay within the given domain - go over the difference between sketch and draw

Syllabus Changes: Topic 3 Geometry and Trigonometry - nothing in the old syllabus has been excluded - added length of an arc, area of a sector, equations of perpendicular bisectors, and voronoi diagrams

Syllabus Changes: Topic 3 Voronoi diagrams

Syllabus Changes: Topic 4 Statistics and Probability - Truth tables are gone - as before, all data considered population - added interpretation of outliers, sampling techniques, binomial distribution - T-test always pooled - Students need to know one-tail and 2 -tailed T-test

Syllabus Changes: Topic 5 Calculus - We must now teach the concept of a limit - Integration has been added, not just differentiation – Added approximating using trapezoidal rule

External Assessment Details §A GDC can be used on both papers §A formula booklet can be used on both papers §“Full marks are not necessarily awarded for a correct answer with no working. Where an answer is incorrect, some marks may be given for correct method, provided this is show by written working. ” From the markscheme: “Do not automatically award full marks for a correct answer; all working must be checked, and marks awarded according to the markscheme. ”

External Assessment Details §Paper 1 40% 90 minutes: short-response questions § 80 marks (not all questions are worth equal marks like on the IB Math Studies exam) §Paper 2 40% 90 minutes: extended-response questions § 80 marks (“normally, each question reflects an incline of difficulty, from relatively easy tasks at the start of a question to relatively difficult tasks at the end of a question; emphasis is on sustained reasoning”)

External Assessment Sample Questions §Paper 1 p. 98 -116, markscheme p. 118 -130 §Paper 2 p. 134 -140, markscheme p. 146 -153 §Internal assessment: project samples p. 222, p. 240

Tackling the IA: Exploration not Project Criteria: A: Presentation (0 -4) B: Mathematical Communication (0 -4) C: Personal Engagement (0 -3) D: Reflection (0 -3) E: Use of Math (0 -6)

Tackling the IA: Exploration not Project §The exploration should be approximately 12 -20 pages long with double line spacing, including diagrams and graphs, but excluding the bibliography. However, it is the quality of the mathematical writing that is important, not the length. §The following details should be stated on the cover page of the exploration: • title of the exploration • number of pages. • The references are not assessed. However, if they are not included in the final report it may be flagged in terms of academic honesty.

IB Teacher Curriculum Review IB Math Applications and Interpretation Presenter: Ana Zuniga azuniga@dadeschools. net Coral Gables Senior High School 305 -443 -4871 x 2385 LET’S COLLABORATE! THANK YOU AND GOOD LUCK ACHIEVING YOUR VISION