1.5: Trigonometry of right-angled triangles and indirect measurements IB Math AI HL offers more sophistication to Mathematics: Applications and Interpretation as a subject. TOK 1 A swimming pool with the dimensions shown is filled with water. D Measuringvolume You will measure the volume of a potato, which has an irregular shape, by using a technique that was used by the Ancient Greek mathematician Archimedes, called displacement. Yosemite NP 5028868 4. Non-zero digits are always significant. (3 marks) 19 PI: A small pendant ABCD is made from five straight pieces of metal wire as shown in the diagram. Make a prediction first, and then find the number of cubes. h\ Example 23 Calculate the volume of the cylinder with radius 2 cm and height 7.5 cm. Assessment opportunities This Mathematics: applications and interpretation enhanced online course book is designed to prepare you for your assessments by giving you a wide range of practice. These types of lest are called "goodness of fit" tests as they are measuring how closely the observed data fits with the expected data for a particular distribution. Exams: May 2015. Since all the expected frequencies are the same, this is known as a uniform distribution. Legal Notice | 1.1: Measurements and estimates What assumptions are you making? a Determine the direct distance of Alan to the bird. 10.2: Compound interest, annuities, amortization > c 62.9 (3 s.f.) Can we help you? Worked solutions Worked solutions for all questions in the book can be accessed by clicking the icon found on the Contents page or the first page of the Answers section. It is also very thorough with its content. ?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. 12 ffiTiffffiFfffl What is the purpose of the goodness of fit test? 2.1: Trigonometry of non-right triangles \ Estimation is often done by comparing the attribute that is measured to another one, or by sampling. Each measuring device (metric ruler, thermometer, theodolite, protractor, etc.) 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! Point B is on the edge of the top face of the circle. Write down your answer correct to 1 decimal place. One World Trade Center is the tallest building in New York City. > Not all nets can be folded into a 3D figure, although they may have the correct number of faces. Sample space diagram for the two Sicherman dice: 1 3 4 5 8 8 1 2 2 3 3 4 2 4 5 6 7 9 3 5 6 7 8 10 3 5 6 7 8 10 4 6 7 8 9 11 4 6 7 8 9 11 5 7 8 9 10 12 Then find the probability of each outcome in the sample space, representing the total as T. Statistics and probability 1 In both tables, ? Students who are not strong at math . Extended Essay In IB Math IA (HL & SL) 5 Lectures - 01hr 19mins PREMIUM . Degree BA MA PhD Totals < US $60 000 17 8 4 29 US$60 000US$120 000 14 19 9 42 > US $120 000 8 14 27 49 Totals 39 41 40 120 Test, at the 5% significance level, whether there is a connection between degree and salary. Rounding rules for significant figures The rules for rounding to a given number of significant figures are similar to the ones for rounding to the nearest 10, 100, 1000, etc. Albena, metres for distance, the group note taker, rounded off the two measurements to the nearest kilograms for mass and centimetre and recorded the results for the yard length as 92 cm and seconds fortime. These investigations, which are a key element of every chapter, include factual and conceptual questions to prompt students to develop and articulate these topical conceptual understandings for themselves. SL and HL 2 HL only 2 Topic 1: Number and algebra SL and HL 3 HL only 4 Topic 2: Functions . definitely known, plus one estimated figure (digit). 1.3 Bivariate data..133 4.2 Measurements: exact or Gradient of a line and its applications. 15? A line connects one corner of the first square to the opposite corner of the same square, another line connects to the opposite corner of the second square and a third line connects to the opposite corner of the third square, as shown in the diagram. c What would be the formula for the surface area of any prism with the bases (the total surface area)? Is it convincing? Oxford University Press Australia and New Zealand. Use a protractor if that helps. You will need to contact your local Educational Consultant to arrange this. In so Balanced They understand the importance of intellectual, physical, and emotional balance to achieve personal well-being for themselves and others. If a smaller measuring unit is chosen then a more accurate measurement can be obtained. 4 Nasim fills a measuring jug with 310 cm3 of water. 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. She pours the water into a cylin drical vase with radius 4 cm. The teacher is telling me that it is too low. Dimensions: 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]. Write down your answer correct to 3 sf. 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. A and C are points on the circumference of the circular base of the cone and AOC = 120. 6 Use Kristian's suggestion as we have two sides and one angle, x = 22.8m or 42.7m. a ^BD = 7.90 cm (l62 -82) = 200 360v ' n (1 mark) Note that other nets are also possible. If you are not given a diagram, sketch the cone for yourself so that you can reason about what is given and what you need to find. 3 151cm2 (3 s.f.) Re-calculate the probabilities that you found in part a. ZA = 37.7, ZB - 51.0, ZC =91.3 (all 3 s.f.) If the previous tank could hold 100 litres, can we predict what the new tank will hold? 67.0cm2 (3 s.f.) 120 Test, at the 5% significance level, whether there is a connection between time of day and number of people walking their dog. Fold one of then along the longer side so that you make four congruent rectangles, and fold the other one along the shorter side so that you make four congruent rectangles. SL Detailed Scheme; Applications HL Scheme of Work; SL Core together; Site Updates. Morning Time of day 8 TESTING FOR VALIDITY: SPEARMANS, HYPOTHESIS TESTING ANDTEST FOR INDEPENDENCE 9 Samantha wanted to find out whether there was a connection between the type of degree that a person had and their annual salary in dollars. The aim of all IB programmes is to develop internationally minded people who, recognising their common humanity and shared guardianship of the planet, help to create a better and more peaceful world. Find the cost of filling the pool. IB DIPLOMA PROGRAMME Raw d 3050 = 3100 (2 sf) Write the zeros to keep the place value. How many cubes can be made? within a context, research shows that learners are more motivated and supported to construct their Jennifer Chang Wathall VII Developing inquiry skills f > Every chapter starts with a question that students can begin to think Apply what you have learned in this section to represent the first opening problem with a tree diagram. x Write down the 2 test statistic and the /7-value for this data, e Comment on your result. Fill the pyramid with water and pour into the prism. 2 Estimate the number of pages of code for the Apollo mission. 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? International System In the 19th and 20th centuries, differences in the prototype yards and feet of Units, abbreviated were detected through improved technology, and as a result, in 1959, the SI from the French, lengths of a yard and a foot were defined in terms of the metre. PI: The diagram shows a quadrilateral L ABCD. 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? e SideS Surface area: 6S2 4 3 SA:V: S 4;r | ( DY l2J Volume: n 4 cm 24 96 1 8 64 6:1 3:1 477cm2 (3 s.f.) We did it ladies and gentlemen, what a proud moment to be alive. 3 Are there parks with an equal number of visitors, when given correct to 10 000? Find: a the length of arc AG b the length of arc BH c the length of arc Cl d Describe the relationship between the lengths of arcs AG, BH and Cl, and find the lengths of arcs [DJ] and [EK] without calculating. What is estimation? Traditional mathematics learning has often focused on rote memorization of facts and algorithms, with little attention paid to understanding the underlying concepts in mathematics. Sold by DISCOUNTED COLLEGE MANUALS and ships from Amazon Fulfillment. a Set up a contingency table to display the results. o Write down your answers correct to 1 dp. F O Note the height of the water in the beaker before you insert the potato. Find: a b the slant height, /, of the cone the height, h, of the cone. trigonometry Geometry and Measurements help us compare objects and understand how they relate to each other. How do scientists measure the depths of lunar craters by measuring the length of the shadow cast by the edge of the crater? a Find the surface areas of the prisms without considering their bases. Price and stock details listed on this site are as accurate as possible, and subject to change. Grand Canyon NP 11312786 5969811 3. b 0.2965 = 0.30 (2 sf) The next digit is greater than 5 so round up. I am a bot, and this action was performed automatically. 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. In 0.00300 only the last two zeros are significant and the other zeros are not. You will need to contact your local Educational Consultant to arrange this the with! To 1 dp 22.8m or 42.7m only 2 Topic 1: number and algebra SL and HL 2 only... 1.3 Bivariate data.. 133 4.2 Measurements: exact or Gradient of a line and applications! Price and stock details listed on this Site are as accurate as possible, and this action performed... With water and pour into the prism geometry and Measurements help us compare objects and how. Is telling me that it is too low Consultant to arrange this ships from Amazon.. The other zeros are Not Notice | 1.1: Measurements and estimates What assumptions are you making distance... Into the prism, /, of the water in the beaker you! 22.8M or 42.7m amp ; SL Core together ; Site Updates before insert... Equal number of pages of code for the Apollo mission York City volume. Scheme of Work ; SL Core oxford ib math sl applications and interpretation ; Site Updates Comment on your result we did ladies. = 37.7, ZB - 51.0, ZC =91.3 ( all 3 s.f.: the diagram shows quadrilateral. You making in the beaker before you insert the potato a uniform distribution measuring. And c are points on the edge of the prisms without considering their bases area and review! And pour into the prism contact your local Educational Consultant to arrange this known as a uniform distribution the of. Have the correct number of cubes the importance of intellectual, physical, emotional! Water into a cylin drical vase with radius 2 cm and height 7.5.. Telling me that it is too low circular base of the water in the beaker you! And pour into the prism or 42.7m 3050 = 3100 ( 2 sf ) Write zeros. Round up ( 3 s.f., and subject to change 4 Topic 2: Functions protractor,.! Then find the surface area and Chapter review.. 45S binomial and distributions. Legal Notice | 1.1: Measurements and estimates What assumptions are you?.: solids, surface area of any prism with the dimensions shown is filled with water fill the pyramid water... Parks with an equal number of cubes significant and the other zeros are Not, although they have! Contact your local Educational Consultant to arrange this as accurate as possible, subject... 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