sin 25 sin 40 = 128* + 144* 3 3 (2 marks) c (2 marks) (1 mark) rr0= 375 1? A 11 What is your conclusion from this test? 7.6: Modelling the number of successes in a fixed number of trials Remember to write down the null and alternative hypotheses. What are the possible dimensions of this new box with a doubled volume? IB DIPLOMA PROGRAMME Raw A student is chosen at random. This method is based on a simple reason: for a fit adult, the angle that is formed as they look through their legs is approximately 45 degrees. Applications and Interpretation. The ornament is made from mahogany, which has a density of 0.71 g/cm3. 4 A sector of a circle has a radius of 5 cm and central angle measuring 45. OXFORD IB DIPLOMA PROGRAMME MATHEMATICS: APPLICATIONS AND INTERPRETATION S TA N D A R D L E V E L COU R S E COM . 21.35, 1.25, 305, 1009, 0.00300, 0.002 21.35 has 4 sf and 1.25 has 3 sf. Given that a + - ------ 4k . Bangladesh 70 65 ure expectancy (years) *~x>' Q ** A u .u T.wnmn RoUnrt tf-V T. (*)G '^ = JZ*2 (I *)2 and = \iZy2 (S-v) Note that: When finding r, the order of the variables is not important. TOK Volume of a cuboid = length x width x height = area of the base x height Why are symbolic representations of three-dimensional objects easier to deal with than visual Volume of prisms and cylinders For some solids, called prisms, the base is of the same shape and size as any cross-section (slice) of the solid made representations? Featuring a wealth of digital content, this concept-based Print and Enhanced Online Course Book Pack has been developed in cooperation with the IB to provide the most comprehensive support for the new DP Mathematics: applications and interpretation HL syllabus, for first teaching in September 2019. 3 Write down the expected frequencies for throwing a fair die 300 times. Published 2020 For first exams 2020 onwards SMART PREP is a product brand of:. Remember to write down the null and alternative hypotheses. Knowledgeable They explore concepts, ideas, and issues that have local and global significance. To find the total surface area of a cylinder, find the curved surface area and add on the areas of the two circular ends: Total surface area = 2nrh + 2nr2 The formula for the surface area of a sphere is S A = 4nr2 The curved surface area of a cone uses the length of the slanted height /: CSA = nrl To find the total surface area of the cone, add the area of the circular base: SA = 7tr/+ nr2 To find the total surface area of a pyramid, add together the areas of all the faces. O is the centre of the base and is directly below the apex E. trigonom etry Geometry and Find the size of the angle between the edge |BE| and the base ABDC of the pyramid b between the edges [EB] and [EC] c EMO, where M is the midpoint of [AC]. This 167-page set of notes includes every topic covered in the old version of the IB Math SL course. 5.4: Modelling 3 A class of undergraduate students were asked in 2016 their major subject and whether they listen to music on their commute to university. CO | II p(s|/) = 4 oo b P(5): f P(5)xP(/). Testing for validity: Spearman's, hypothesis testing and x2 test for independence Oxford IB Diploma Programme: IB Mathematics: applications and interpretation, Standard Level, Print and Enhanced Online Course Book Pack By Jane Forrest, Paula Waldman, Jennifer Chang Wathall, Suzanne Doering,David Harris, Nadia Stoyanova Kennedy ISBN 9780198426981 Featuring a wealth of digital content, this concept-based Print and Enhanced Online Course Book Pack has been developed in . (2 marks) b Area of one hexagonal face = 6[ - x4x4xsin60c U = 24V3 (2 marks) Therefore volume = 24\fi x 12 = 288\fi = 499 cm5 (1 mark) c cos p = 7336 (1 mark) 0=64.1 (1 mark) From part a), AEX =180 -90- 55.6 = 34.4 (1 mark) Therefore AEC = 2x34.4 = 68.8 (1 mark) 613 ANSWERS d e Let A be the surface area of the base. We dont share your credit card details with third-party sellers, and we dont sell your information to others. Comment on any correlation you can see on the graph. Think about the questions in this opening problem and answer any you can. o Continued on next page 83 2 REPRESENTING SPACE: NON-RIGHT ANGLED TRIGONOMETRY AND VOLUMES O a 300 = k x5x/ + n x52 / = 14.0985= 14.1 cm (3 sf) Total surface area = 2nrh + 2nr2 Substitute the given values and then use your GDC to find the slant height, /. 176m2 (3 s.f.) 1 Measuring space: accuracy and 2D geometry Concepts Almost everything we do requires some understanding of our surroundings and the distance between objects. 15 15 Hence the probability that a randomly chosen student studies 7 neither biology nor art is P(A'nB') = . Legal Notice | You are given the following Venn diagram that represents the events A: "a randomly chosen person can speak Arabic" and R: "a randomly chosen person can speak Russian". ------1 Sat Sun 93 204 90 | Day Mon Tues Wed Thurs Fri Frequency 148 98 103 106 The calls are uniformly distributed. ${cardName} unavailable for quantities greater than ${maxQuantity}. IB Mathematics Applications and Interpretation Study Guides Now in their 4th edition, our IB Maths study guides have been the go to study resource for IB Maths students for more than 15 years. Quantifying uncertainty: probability, binomial and normal distributions Use a piece of aluminium foil to wrap the potato and keep any overlapped areas to a minimum. 245. This item can be returned in its original condition for a full refund or replacement within 30 days of receipt. They reflect the philosophy and approach of the IB and ethical decisions. Featuring a wealth of digital content, this concept-based Print and Enhanced Online Course Book Pack has been developed in cooperation with the IB to provide the most comprehensive support for the new DP Mathematics: applications and interpretation SL syllabus, for first teaching in September 2019. An assistant stands at the base of the tree, and the logger moves a distance away from the tree and holds the pencil at arms length, so that it matches the height of the assistant. IB Prepared Mathematics: Applications and Interpretations, Educational Resources and Children's Books, Little Blending Books for Letters and Sounds, eBook libraries to support reading anywhere, Cambridge Lower Secondary Complete English Second Edition, MYP Mathematics: A Concept-Based Approach, Secondary Professional Development Webinars, First Experiences with Biff, Chip and Kipper, Free dictionary worksheets and activities, IB Prepared English A: Language and Literature, IB Prepared Environmental Systems and Societies, IB Prepared Mathematics: Analysis and Approaches, Worked solutions for end of chapter questions, Worked solutions and markschemes for practice exam papers. Estimate the surface area of the potato and write down your estimate. F O c a b h2 = P-r2 h = 414.09 8 52 52 = 13.2 cm (3 sf) v y b V. ..V-l. 0 f=5cm y Now that you know the radius and the slant height you can find the cone height, h, from the triangle OBC by using the Pythagorean theorem. 6 TOK Investigation 3 When using measuring instruments, we are able to determine only a certain number of digits accurately. A Find the perimeter of the quadrilateral. Mathematics: Applications and interpretation IB DP Category 1. 330 Draw the Venn diagram showing the numbers in each region, b Hence find the probability that a student selected at random from this group speaks no more than one of the languages. (3 marks) 14 PI: To walk from his house (A) to his m school (C), Oscar has a choice of walking along the straight roads AB and BC, or taking a direct shortcut (AC) across a field. OUP Oxford 2013 [PDF] Ebook Oxford IB Diploma Mathematics SL Course Companion Ebook. Your first choice is between the two courses offered, Mathematics: Applications and Interpretation OR Mathematics Analysis and Approaches. Point B is on the edge of the top face of the circle. Note the height of the water in the beaker before you insert the potato. The next digit is less than 5, so delete it and the digits to the right. b Write down the null and alternative hypotheses. TOK In TOK it can be useful to draw a distinction between shared knowledge and personal knowledge. Example 22 Babreka (The Kidney) is a lake in the Rila mountains, Bulgaria, with the shape of a kidney. Prior learning Clicking on the icon next to the Before you start section in each chapter takes you to one or more worksheets containing short explanations, examples and practice exercises on topics that you should know before starting, or links to other chapters in the book to revise the prior learning you need. She wants to conduct a x2 test al the 10% significance level to find out whether favourite sport is independent of gender. practical system of units for international 1 Group 1 used a ruler with centimetre and millimetre units and took two use and includes measurements: one of a yardstick and one of a foot-long string. a Find the surface area of the pyramid without the base and write it down. Modelling rates of change: exponential and logarithmic functions The Venn diagram can be adapted to show the distribution of the total probability in four regions that represent mutually exclusive events: P{A nB) = , PM'n B) = , 15 15 P(AnF) = and P(A,nB,) = . Is it convincing? (3 marks) 91 trigonom etry Alan sees a bird in the sky at an angle of elevation of 27 from where he is standing. Rent Oxford IB Diploma Programme IB Mathematics: applications and interpretation, Higher Level, Print and Enhanced Online Course Book Pack 1st edition (978-0198427049) today, or search our site for other textbooks by Panayiotis Economopoulos. The modelling and investigation activities are open-ended activities that use mathematics in a range of engaging contexts and to develop students mathematical toolkit and build the skills they need for the IA. 6.64 (3 s.f.) Maths: Applications & Interpretation: Browse last pages, blog posts, check sitemap, get Teaching Materials and share knowledge with the ThinkIB.net IB community. 84 21 Chapter summary The sine rule AABC, where a is the length of the side opposite A, b is the length opposite Band c is the length of the side opposite C: a _ b _ c sin A _ sin B _ sin C sin A sin# sinC d b c For any Cosine rule For AABC, where a is the length of the side opposite A, b is the length of the side opposite B and c is the length of the side opposite C: a2 = b2 + c2 - 2be cos A b2 = a2 + c2 - laccosB c2 = a2+ b2 - lab cos C Triangle area formula The area of any triangle AABC is given by the formulae 2 or area=-tfcsin# or area = 2 trigonom etry besin A Geometry and area = -absin C 2 Parallelogram area formula The area of any parallelogram ABCD is given by the formula area ab sin C Sector A sector is a portion of a circle lying between two radii and the subtended arc. The Mathematics: applications and interpretation Standard and Higher Level books follow a similar chapter order, to make teaching easier when you have SL and HL students in the same class. 1.3 Bivariate data..133 4.2 Measurements: exact or Gradient of a line and its applications. 15? Example 24 Find the volume of the triangular prism whose base is an isosceles triangle where the equal sides are 12 cm and the angle between them is 130. 4 Round the number of visitors, given in the table, to the nearest 100 000. Modelling relationships with functions: power functions How would you decide which potato is larger? 3 151cm2 (3 s.f.) a yA C yk x x b y X 2 A small study involving 10 children is conducted to investigate the correlation between gestational age at birth (in weeks) and birth weight (in grams). Alan and Belinda are standing on the same side of the bird, and they both lie in the same vertical plane as the bird. a State the null hypothesis and the alternative hypothesis. a Show that the expected value of the number of calls each day is 120. b Write down the number of degrees of freedom. Find many great new & used options and get the best deals for OXFORD IB DIPLOMA PROGRAM: IB MATHEMATICS: APPLICATIONS AND INTERPRETATION, FC at the best online prices at eBay! All rights reserved. Flavour Beef Chicken Lamb Totals Boxer 14 6 8 28 Labrador 17 11 10 38 Poodle 13 8 14 35 Collie 6 5 8 19 Totals 50 30 40 120 Perform a x2 test at the 5% significance level to test whether favourite flavour is independent of breed of dog. Featuring a wealth of digital content, this concept-based Print and Enhanced Online Course Book Pack has been developed in cooperation with the IB to provide the most comprehensive support for the new DP Mathematics: applications and interpretation SL syllabus, for first teaching in September 2019. 1 b c 2 a b c 2 a b c 3 ZA - 125, ZB - 26.1, ZC - 28.3 (all 3 s.f.) 99.0cm2 (3 s.f.) ?S 2 REPRESENTING SPACE: NON-RIGHT ANGLED TRIGONOMETRY AND VOLUMES O The nets labelled a, b, e and f can be folded into a cube, whereas the ones labelled c and d cannot. Chapter review b 18.2 (3 s.f.) They will help students gain an understanding of what is expected from their Thinkers They exercise initiative in applying thinking subject studies while presenting content in a way approach complex problems, and make reasoned, that illustrates the purpose and aims of the IB. It is found also that P(A) = 0.07 and P( V) = 0.61. 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