Advanced Mathematics Grade 11 is one of the titles in the Save Buk series specially written for the new PNG Upper Secondary courses at Grades 11 & 12.

This book gives students concise coverage of the information needed to successfully complete the Grade 11 Advanced Mathematics course. The order of Units in the book follows the order of Units in the Advanced Mathematics Grade 11 syllabus exactly:

Unit 11.1 Number and Application

Unit 11.2 Graphs and Functions

Unit 11.3 Managing Data

Unit 11.4 Geometry

The book is written in a manner that best develops an overall understanding of the mathematical concepts and processes set out in the Syllabus.

The Glossary/Index at the end of the book explains the specific terminology that students need to learn for the study of Mathematics.

Unit 11.1 Number and Application

Topic 1: Basic numeracy - the real number system

Topic 2: Basic numeracy - working with real numbers

Topic 3: Basic numeracy - revision of fractions

Topic 4: Basic numeracy - decimals and approximations

Topic 5: Basic numeracy - irrational numbers and surds

Topic 6: Basic numeracy – indices

Topic 7: Basic numeracy - logarithms

Topic 8: Units of measurement

Topic 9: Ratio and proportion

Topic 10: Basic algebra – revision

Topic 11: Basic algebra – expanding and factorising

Topic 12: Basic algebra - solving quadratic equations

Topic 13: Basic algebra - graphs of quadratic functions

Topic 14: Basic algebra - simultaneous equations

Topic 15: Basic algebra - inequalities

Unit 11.2 Graphs and Functions

Topic 1: Algebraic expressions

Topic 2: Simplifying rational expressions           

Topic 3: Formulae

Topic 4: Polynomials, factor theorem and remainder theorem

Topic 5: Working with indices

Topic 6: Working with logarithms

Topic 7: Relations and functions           

Topic 8: Coordinate geometry

Topic 9: The gradient of a straight line

Topic 10: Equation of a straight line

Topic 11: Parallel and perpendicular lines

Topic 12: The intersection of two straight lines

Topic 13:¨Inequalities

Topic 14: Solution of quadratic equations

Topic 15: Graphing quadratic functions

Topic 16: Cube graphs

Topic 17: Absolute value functions

Unit 11.3 Managing Data

Topic 1: Basic data display

Topic 2: Measures of central tendency and spread

Topic 3: Cumulative frequency graphs

Topic 4: Time series graphs

Topic 5: Analysis of data – interpreting statistics

Topic 6: Conducting a statistical investigation

Topic 7: Permutations and combinations

Topic 8: Probability

Topic 9: Probability, set notation and Venn diagrams

Topic 10: Independent events

Unit 11.4 Geometry

Topic 1: Geometry of lines and angles

Topic 2: Triangles, quadrilaterals and other polygons

Topic 3: Geometric constructions

Topic 4: Circle geometry

Topic 5: Trigonometric ratios

Topic 4: Three-dimensional trigonometry

Topic 4: The sine and cosine rules

Topic 4: Circle geometry

Topic 4: Equations of a circle

Topic 4: Arc length and area of a circle

Topic 4: Spheres, latitude and longitude

Appendix

Mathematical symbols

Mathematical formulae

Random number tables

Answers

Glossary/Index