This book has been written for the IB Diploma Programme course Mathematics: Applications and Interpretation SL, for first assessment in May 2021. This book is designed to complete the course in conjunction with the Mathematics: Core Topics SL textbook. It is expected that students will start using this book approximately 6-7 months into the two-year course, upon the completion of the Mathematics: Core Topics SL textbook. Table of Contents Mathematics: Applications and Interpretation SL 1APPROXIMATIONS AND ERROR15 ARounding numbers16 BApproximations20 CErrors in measurement22 DAbsolute and percentage error25 Review set 1A29 Review set 1B30 2LOANS AND ANNUITIES31 ALoans32 BAnnuities38 Review set 2A43 Review set 2B44 3FUNCTIONS45 ARelations and functions46 BFunction notation49 CDomain and range53 DGraphs of functions57 ESign diagrams60 FTransformations of graphs63 GInverse functions69 Review set 3A73 Review set 3B76 4MODELLING79 AThe modelling cycle80 BLinear models86 CPiecewise linear models89 DSystems of equations94 Review set 4A96 Review set 4B98 5BIVARIATE STATISTICS101 AAssociation between numerical variables102 BPearson's product-moment correlation coefficient107 CLine of best fit by eye112 DThe least squares regression line116 ESpearman's rank correlation coefficient123 Review set 5A128 Review set 5B130 6QUADRATIC FUNCTIONS133 AQuadratic functions135 BGraphs from tables of values137 CAxes intercepts139 DGraphs of the form y = ax^2y=ax 2 141 EGraphs of quadratic functions143 FAxis of symmetry144 GVertex147 HFinding a quadratic from its graph149 IIntersection of graphs152 JQuadratic models153 Review set 6A159 Review set 6B161 7DIRECT AND INVERSE VARIATION163 ADirect variation164 BPowers in direct variation
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