Ksika Oxford IB Diploma Programme: IB Mathematics: applications and interpretation autorstwa Opracowanie zbiorowe, dostpna w Sklepie EMPIK.COM w cenie 417,40 z. Alan and Belinda are standing on the same side of the bird, and they both lie in the same vertical plane as the bird. 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. Do different geometries (Euclidean and nonEuclidean) refertoor describe different worlds? This item shows wear including moderate wear to edges and cover. Belinda sees the same bird at an angle of elevation of 42. Are there any properties that you cannot measure? Your title or body includes the word textbook, if you want to get access to an IB textbook that you cannot find, please email ibtemplarknight98@gmail.com with the request, being specific. 10.2: Compound interest, annuities, amortization (3 marks) c Calculate the total surface area of the prism. Eighty people were interviewed outside a baker's shop and the results are shown below. Learn how we and our ad partner Google, collect and use data. Measuring correlation.265 Chapter review.. 45S binomial and normal distributions. 298 Modelling and investigation activity.458 7.1 Theoretical and experimental probability.300 7.2 Representing combined probabilities with diagrams.311 7.3 Representing combined probabilities with diagrams and formulae. 319 representations.331 7.5 Modelling random behaviour: random variables and probability distributions338 7.5 Modelling the number of successes in a 7.7 Modelling measurements that are distributed randomly..360 and logarithmic functions460 10.1 Geometric sequences and series.462 10.2 Compound interest, annuities, amortization470 10.3 Exponential models.481 10.4 Exponential equations and logarithms.48? Notice that the simple probability P(B) = P(A n B) + ? IB Math Applications and Interpretations SL or HL is required for: Any other program that does not require the equivalent of IB Math 12 Analysis and Approaches SL or HL or equivalent; IB Math Analysis and Approaches SL or HL would be eligible for first-year credit with a minimum final IB score of 6. At 12pm, the ship is at point B and it adjusts its course 20 eastward. 245. --o = . Calculate the volume of space in the cylinder not taken up by the tennis balls. All rights reserved. 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. c 2 The volume is therefore V= 10.4 x A c = 187.2cm3. The end of each branch represents a combined event. Is it convincing? . Rounding rule for n significant figures trigonometry Geometry and If the (n + 1 )th figure is less than 5, keep the mh figure as it is and remove all figures following it. 7.7: Modelling measurements that are distributed randomly (A'n B) = + = can be found from the probabilities at the end of two branches of the tree diagram. 20 How do we describe the properties of an object? New topics are italicized. Full content visible, double tap to read brief content. Can you explain how this method works? Olympic NP 3390221 8. 23 E 4 cm a Draw a net of the prism. ? c Find Pearson's product moment correlation coefficient for this data and compare it with your answer to part b. a b Continued on next page 269 Statistics and probability The formula to find Pearsons product moment correlation coefficient is 6 MODELLING RELATIONSHIPS: LINEAR CORRELATION OF BIVARIATE DATA 1 For each scatter plot, state whether you would use Pearson's product moment correlation coefficient to measure the strength of the correlation. (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. e Check that expected values are greater than 5. 7.6: Modelling the number of successes in a fixed number of trials Legal Notice | 5 32 Female 8 6 14 28 Totals 18 23 19 60 A x2 test at the 1 % significance level is set up. 7.59cm (3 s.f.) In either case, all figures after the /7th one should be removed if they are to the right of the decimal point and replaced by zeros if they are to the left of the decimal point. Since we published the IB Mathematics SL Course Book we've made some updates to the short answer section, located in the back of your book. Published by Oxford University Press. Since we published the IB Mathematics SL Course Book we've made some updates to the short answer section, located in the back of your book. Exam Practice Workbook for Mathematics for the IB Diploma: Applications and interpretation SL. Build a strong foundation of Math AI SL concepts right from scratch. d Find the x2 value and the /walue. This book gives you fully worked solutions for every question in Exercises, Review Sets, Activities, and Investigations (which do not involve student experimentation) in each chapter of our textbook Mathematics: Applications and Interpretation SL. Before you start You should know how to: Skills check 1 1 Find the circumference of a circle with radius 2 cm. H 9 Buildings A and B are rectangular prisms with height 8 m, as shown in the diagram. End of chapter tests and mixed review exercises This icon appears twice in each chapter: first, next to the Chapter summary section and then next to the Chapter review heading. b 33.5cm3 (3 s.f.) 8 9 y 12 10 10.5 9 9.3 9 8.2 ? DJ is four times AG 1 2830m3 (3 s.f.) Nail your IB Math AI SL prep with this comprehensive video course on Mathematics: Applications and Interpretation SL. Investigation 11 The diagram shows the nets of some boxes without lids. 3 Find the surface area of a hemisphere with radius 4 cm and volume 30 cm3. about from the start, and answer more fully as the chapter progresses. Legal Notice | Sketch the prism and mark the angles described below. 4 Why do we use measurements and how do we use measuring to define properties of an object? a b Find the surface areas of the cylinders without the areas of the bases. (3 s.f.) on horizontal /------------------------------------------------- Three squares Approaches to learning: Research, Critical thinking Exploration criteria: Personal engagement (C), Use of mathematics (E) Modelling and investigation activity IB topic: Proof, Geometry, Trigonometry v_______ ________ /---------------------------------------------------------------------------------------- \ The problem Three identical squares with side length 1 are adjacent to one another. Grand Canyon NP 11312786 5969811 3. Old Math Studies. Needless to say, it requires a much deeper insight into the concepts. P(A nB) = P(y4)P(U) = \ PM1) = !\ , t = nx(nn\ /-iH r*n l . h\ Example 23 Calculate the volume of the cylinder with radius 2 cm and height 7.5 cm. 1.3: Measurements: exact or approximate? 4 A garage keeps records of the last 94 cars tested for roadworthiness. How far can you see? d Write down the x2 test statistic and the /7-value for this data. a 77.8 (3 s.f.) 7.1: Theoretical and experimental probability, 7.2: Representing combined probabilities with diagrams Bring your club to Amazon Book Clubs, start a new book club and invite your friends to join, or find a club thats right for you for free. Analyzing rates of change: differential calculus All rights reserved. Exams: May 2015. 0.585kg (3 s.f.) 1.2: Recording measurements, significant digits and rounding 2 Estimate the number of pages of code for the Apollo mission. The critical value is 7.815. e Comment on your result. Hj : Class of dog is not independent of weight, d v 2 x = 8.16 50 50 f x2 = 13.4 and /7-value = 0.001 25 g 0.001 25 < 0.05, therefore do not accept the null hypothesis. The results are shown in the table below. 3 In a survey, 91 people were asked about what devices they use to listen to music. How would you go about making this estimate? 18 WBffTWfTl Could the use of different units affect your measurement? 3 Three hundred people of different ages were interviewed and asked which genre of film they mostly watched (thriller, comedy or horror). 8 4 5 6 ? To add the following enhancements to your purchase, choose a different seller. Book reviews, interviews, editors' picks, and more. trigonom etry Geometry and 2 Match the nets with the corresponding solids from Table 2. 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. 584 Introduction The new IB diploma mathematics courses have been own conceptual understandings and develop higher designed to support the evolution in mathematics levels of thinking as . The correlation coefficient; r, has no units. 3D geometry: solids, surface area and Chapter review.. 253 volume. 69 Modelling and investigation activity.260 Chapter review.. 88 Modelling and investigation activity 92 6 Modelling relationships: linear correlation of bivariate data.. 262 3 Representing and describing data: 6.1 descriptive statistics. 94 6.2 The line of best fit 2?5 3.1 6.3 Collecting and organizing univariate iv kU J line..288 Modelling and investigation activity 296 * * Presentation of data CD 3.3 Interpreting the regression Chapter review.. 290 Sampling teclliques i 3.2 i * data.. 9? Concepts represent powerful, organizing ideas that are not locked in a particular place, time or situation. Developed in cooperation with the IB, each new Oxford DP Mathematics Course Book pack contains one print textbook and one enhanced online textbook - providin. 11 4.3 1.4 Speaking scientifically1? Use a balance scale to measure the weight of the potato. G R Find P(S) and P(S|Af) and hence determine whether 5 and M are independent events, stating a reason for your answer. 3 A ship leaves port A at 10am travelling north at a speed of 30 km/hour. Dividing up space: coordinate geometry, lines, Voronoi diagrams How do we measure? mathematics in other dimensions? Find how much paint is needed if 1 L of paint covers 8.5 m2 of surface. She wants to conduct a x2 test al the 10% significance level to find out whether favourite sport is independent of gender. Investigation 2 Margaret Hamilton worked for NASA as the lead developer for Apollo flight software. 8.1: Spearman's rank correlation coefficient (3 marks) b Hence find the area of the field, correct to 3 sf. Supporting Resources for IB Prepared 2 Comparing the volume of cylinders, cones and spheres a What is the relationship between the volume of a cylinder and the volume of a cone with the same radius and height? Reflective They give thoughtful consideration to their own learning and experience. Developing inquiry skills Write down any similar inquiry questions that might be useful if you were asked to find how far you could see from a local landmark, or the top of the tallest building, in your city or country. M The List Price is the suggested retail price of a new product as provided by a manufacturer, supplier, or seller. If you represent the problem only as text, the simple probabilities P(A) = i and P(B) = ^ can be found easily * We know because" Statistics and probability but calculating these do not show you the whole picture of how the sets relate to each other, vi____________________ ______________________ y Represent this information as follows in a Venn diagram to see more detail: The rectangle represents the sample space U for which P(U) = 1, the total probability. The edges of each hexagonal face have length 4 cm. Cinzia gives an Frequency Score, x IQ test to all 200 IB Diploma Programme students in the 5 xAY = 7.810 cm (1 mark) tan XAY = - (1 mark) 7.810 XAY = 37.5 1 6.96 m 1.711 km and y = 1.436 km Exam-style questions b 5.36m b 0.511 a* = 14 81.1 cm (3 s.f.) 4 Three different flavours of dog food were tested on different breeds of dogs to see whether there was any connection between favourite flavour and breed. . Exam-style questions Answers and worked solutions Answers to the book questions Concise answer to all the questions in this book can be found on page 608. If you stood somewhere higher or lower, how would that affect how much of the Earth you can see? 167. 5.1: Functions Digital Copy duration: 24 months. Help others learn more about this product by uploading a video! Which units will you use? (3 marks) 18 PI: In AABC, ACB = 67, AB = 6.9 cm and L BC = 5.7 cm. Sector area formula a x #/rr2 Area ot sector =------- 360 where r is the radius of the circle and the central angle in degrees. Comment on any correlation you can see on the graph. a V = i(4 x 3.5 x 7.4) = 34.5 cm (3 sf) Use V = i(base area x height) b height = U.52-3.22 = 1 1.0458 cm* Use the Pythagorean theorem to find the vertical height of the cone. Learn more how customers reviews work on Amazon. This item can be returned in its original condition for a full refund or replacement within 30 days of receipt. Then another card is drawn. Using water (or rice or popcorn), experiment with filling the 3D shapes to determine the relationships between their volumes. ^ $13.50 International. Find many great new & used options and get the best deals for MATHEMATICS: APPLICATIONS AND INTERPRETATION SL EC LUCAS IAN ENGLISH PAPERBACK / at the best online prices at eBay! The results for Terri's 10 bags are: Colour Frequency Yellow 104 Orange 132 Red The critical value for this test is 9.488. d State the conclusion for the test and give a reason for your answer. Make a conjecture about the formula for the volume of a sphere. The volume of a cone is the same as a pyramid with the same base area and height. How do scientists measure the depths of lunar craters by measuring the length of the shadow cast by the edge of the crater? Grand Teton NP 3270076 10. Math AIR HL/SL plan and that about Official IB documents. Write it down, b What is the relationship between the volume of a cylinder and the volume of a sphere with the same radius and height? For this series of books, we have identified important topical understandings that link to these and underpin the syllabus, and created investigations that enable students to develop this understanding. Let M be the event the second card drawn is the letter M. Find: i P (A) ii P(Af|i4) iii P(AnM). Sketch the cuboid and mark the angles described below. The volume of the cone is also the same as a pyramid with the same base area and height. TOKand International-mindedness are integrated into all the chapters. 2 What strategy did you use to find the number of cubes that would fill each box? How would you go about estimating? 41.1 cm2 (3 s.f.) (2 marks) Exercise 3A 1 A = 4| -Ul6xx/202-82 | +162 (2 marks) = 843 cm2 (1 mark) Chapter 3 Skills check 1 Discrete Continuous c Discrete Discrete e Discrete g Continuous i Continuous g Continuous 1 2 3 4 Continuous f Frequency 21 4 22 6 23 24 5 5 4 Height, in Frequency Age of children 1 3 Major gridlines correspond to 1 cm y 49. Are there different possible strategies to find this number? Find the expected frequencies, b Write down the number of degrees of freedom. > Write down your answer correct to 1 decimal place. Let A be the event the first card drawn is the letter A. 1 10 - 5 0 -9 * - -4 614 10 Mean -112 iii Median-105 Data is skewed, median is most appropriate measure as this is least affected by the skewed values. Hj : The data does not satisfy a uniform distribution. Citation preview. BEO = 180 (90 + 64.7467) = 25.2533 BEC = 50.5 (3 sf) c tanEMO= = OM 4 EMO = tan M is the midpoint of [AC], so OM = 4 cm. The critical value is 13.277. d Comment on your result. How many simple probabilities can you find? 3 a b 176cm2 (3 s.f.) Calculate: a the circumference of the circle b the area of the circle. Here you will find worked solutions to the end-of-chapter practice questions, as well as worked solutions and markschemes for each of the practice exam papers featured in IB Prepared Mathematics: Applications and Interpretations. Find the probability that when choosing one of the consumers surveyed at random, a consumer who only has a smartphone is chosen, c In a population of 10000 consumers, predict how many would have only a tablet computer. c Make a conjecture about howto find the surface area of any cylinder, with radius rand height h, with the bases. 39? 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. (T= 12) = 36 p P(5)xP(/): II ~a f CO | 2+6 Write down the appropriate formula and fill in the numbers from the Venn diagram to show complete working out that is easy to check. b Show that the expected frequency for 0-9 hours and a high GPA is 31.2. c Write down the number of degrees of freedom. (3 marks) 19 PI: A small pendant ABCD is made from five straight pieces of metal wire as shown in the diagram. All DP mathematics courses require students to appreciate the use of technology in mathematics and become proficient with graphic display calculators. The main reasons for failing the test are faulty tyres, steering or bodywork. \ A value is accurate if it is close to the exact value of the quantity being meas ured. Find the area of the sector and the length of the arc. This is summarized as all of the digits that are known for certain, plus one that is a best estimate. The diagram allows us to find P(B|j 4) = P(B'\A) = etc easily. The Guide aims to help the IB student by both revising the theory and going through some well-chosen examples of the new IB Mathematics: Applications and Interpretation SL curriculum. a Set up a contingency table to display the results. b 20.9cm (3 s.f.) 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? They would bend over and look through their legs! b 12.4cm (3 s.f.) 9) Desmos - a great online graphing site. a 5.64cm (3 s.f.) a State the null hypothesis and the alternative hypothesis. Number and algebra o If you used a beaker with smaller units, do you think 15 that you would have a different measurement forthe volume? What would happen if the diameter of the tank is tripled? 5 210cm2 (3 s.f.) Mathematics SL - Applications and Interpretation - OXFORD 2019.pdf - Free ebook download as PDF File (.pdf), Text File (.txt) or read book online for free. c Determine the results of a goodness of fit test at the 5% significance level to find out whether the data fits a uniform distribution. 2023 Oxford University Press. [PDF] Ebook Hodder Exam Practice Workbook for Mathematics: Applications and interpretation SL for the IB Diploma Ebook; Hodder 2021 [PDF] Ebook Hodder Exam Practice Workbook for Mathematics: Analysis and Approaches SL for the IB Diploma . Try 36 x 14 Is it possible to know things about which we can have no experience, such as infinity? A cylinder with height 11 cm and radius 3 cm is shown in the diagram. s ta N D a R D C O U R S, Page |1 Cookie Policy. Free shipping for many products! You will need to contact your local Educational Consultant to arrange this. I P L O 3.2: Sampling techniques If you stand on the Observatory floor, 382 m above the ground, how far can you see? O is the midpoint of [CB|. How is your generalization related to the volume formula for a rectangular prism (V = length x width x height) ?
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