ENGLISH

Jacaranda Maths Quest 9 Stage 5 NSW Curriculum

By Lyn Elms (Maths writer); Lee Roland

Book information

Publisher
Jacaranda
Year
2018
ISBN
0730347184, 9780730347187
Language
english
Format
PDF
Filesize
42 MB (44114835 bytes)
Pages
768\768
Time added
2022-01-07 13:51:56

Description

Maths Quest 9 Stage 5 for the NSW Australian curriculum has been completely revised to help teachers and students discover the NSW Mathematics syllabus. All content has been carefully mapped to Stages 5.1, 5.2 and 5.3 of the syllabus to ensure comprehensive coverage. Individual sub-topics are labelled by stage level to assist teachers with lesson planning and their navigation through the NSW Mathematics syllabus. Half title page Title page Copyright page Contents Overview Acknowledgements TOPIC 1 NAPLAN practice 1.1 Overview 1.2 NAPLAN practice 1 1.3 NAPLAN practice 2 1.4 NAPLAN practice 3 1.5 Review Answers TOPIC 2 Financial mathematics [Stage 5.1] 2.1 Overview 2.2 Salaries and wages [Stage 5.1] 2.3 Special rates [Stage 5.1 2.4 Piecework [Stage 5.1] 2.5 Commissions and royalties [Stage 5.1] 2.6 Loadings and bonuses [Stage 5.1] 2.7 Taxation and net earnings [Stage 5.1 2.8 Simple interest [Stage 5.1] 2.9 Compound interest [Stage 5.1 2.10 Review Answers TOPIC 3 Similar figures and scale drawings [Stages 5.1 and 5.3] 3.1 Overview 3.2 Congruent figures 3.3 Scale drawings [Stage 5.1] 3.4 Similar figures [Stage 5.1] 3.5 Area and volume of similar figures [Stage 5.3] 3.6 Review Answers TOPIC 4 Right-angled triangles (trigonometry) [Stage 5.1] 4.1 Overview 4.2 Pythagoras’ theorem [Stage 4] 4.3 Applications of Pythagoras’theorem [Stage 4] 4.4 Similarity and the sine, cosine andtangentratios [Stage 5.1] 4.5 Calculating unknown side lengths [Stage 5.1 4.6 Calculating unknown angles [Stage 5.1] 4.7 Angles of elevation and depression [Stage 5.1] 4.8 Review Answers TOPIC 5 Single variable data analysis [Stages 5.1 and 5.2] 5.1 Overview 5.2 Collecting data [Stage 4] 5.3 Stem-and-leaf plots and dot plots [Stage 5.1 5.4 Comparing and displaying data [Stage 5.1] 5.5 Mean, median and mode [Stage 5.1] 5.6 Quartiles, interquartile range anddistributions [Stage 5.2] 5.7 Review Answers TOPIC 6 Indices, scientific notation and surds [Stages 5.1, 5.2 and 5.3] 6.1 Overview 6.2 Rational and irrational numbers [Stage 5.3] 6.3 Simple operations with surds [Stage 5.3] 6.4 Rounding and significant figures [Stage 5.1] 6.5 Scientific notation [Stage 5.1] 6.6 Applying the index laws to variables [Stage 5.1] 6.7 Using index laws to simplify algebraic products and quotients [Stage 5.1] 6.8 Applying index laws to algebraic expressions involving integer indices [Stage 5.2] 6.9 Introduction to fractional indices [Stage 5.3] 6.10 Review Answers TOPIC 7 Area, surface area and volume [Stages 5.1 and 5.2] 7.1 Overview 7.2 Time scales and units of measurement[Stage 5.1 7.3 Area of composite shapes [Stage 5.1] 7.4 Area and perimeter of semicirclesand sectors [Stage 5.1 7.5 Surface area of rectangular andtriangular prisms [Stage 5.1] 7.6 Surface area of cylinders andcomposite solids [Stage 5.2] 7.7 Volume of prisms, cylinders andcomposite solids [Stage 5.2] 7.8 Review Answers TOPIC 8 Algebraic techniques 1 [Stage 5.2] 8.1 Overview 8.2 Variables [Stage 4] 8.3 Algebra in worded problems [Stage 4] 8.4 Simplifying algebraic expressions [Stage 4] 8.5 Simplifying algebraic fractions 1 [Stage 5.2] 8.6 Expanding algebraic expressions [Stage 5.2] 8.7 The highest common factor [Stage 5.2] 8.8 Factorising monic quadratics [Stage 5.2] 8.9 Review Answers TOPIC 9 Probability [Stages 5.1 and 5.2] 9.1 Overview 9.2 Theoretical probability [Stage 5.1] 9.3 Experimental probability [Stage 5.1 9.4 Venn diagrams and two-way tables [Stage 5.1] 9.5 Two-step experiments [Stage 5.2] 9.6 Mutually exclusive and independent events [Stage 5.2] 9.7 Conditional probability [Stage 5.2] 9.8 Review Answers TOPIC 10 Linear equations [Stage 5.2] 10.1 Overview 10.2 Solving linear equations [Stage 5.2] 10.3 Solving linear equations withbrackets [Stage 5.2] 10.4 Solving linear equations withpronumerals on both sides [Stage 5.2] 10.5 Solving problems with lineare quations [Stage 5.2] 10.6 Substituting values into formulas [Stage 5.2] 10.7 Review Answers TOPIC 11 Linear and non-linear relationships [Stages 5.1 and 5.2] 11.1 Overview 11.2 Sketching linear graphs using the coordinates of two points [Stage 5.1] 11.3 Midpoint of a line segment and distance between two points [Stage 5.1] 11.4 The gradient of a straight line [Stage 5.1] 11.5 Using the gradient–intercept form to graph linear relationships [Stage 5.2] 11.6 Parallel and perpendicular lines [Stages 5.1 and 5.2] 11.7 Finding the equation of a straight line [Stage 5.2] 11.8 Practical applications of linear graphs 11.9 Non-linear relationships (parabolas, exponentials, circles) [Stages 5.1 and 5.2] 11.10 Review Answers TOPIC 12 Quadratic equations [Stage 5.2] 12.1 Overview 12.2 Quadratic equations [Stage 5.2] 12.3 The Null Factor Law [Stage 5.2] 12.4 Solving the quadratic equation ax2 + bx + c = 0 [Stage 5.2] 12.5 Solving quadratic equations withtwo terms [Stage 5.2] 12.6 Applications of quadratic equations [Stage 5.2] 12.7 Review Answers TOPIC 13 Proportion and rates [Stages 5.2 and 5.3] 13.1 Overview 13.2 Direct proportion [Stage 5.2] 13.3 Direct proportion and ratio [Stage 5.2] 13.4 Inverse proportion [Stage 5.2] 13.5 Simple rate problems [Stage 5.2] 13.6 Constant and variable rates [Stage 5.3] 13.7 Rates of change [Stage 5.3] 13.8 Review Answers TOPIC 14 Algebraic techniques 2 [Stage 5.3] 14.1 Overview 14.2 Special binomial products [Stage 5.3] 14.3 Further expansions [Stage 5.3] 14.4 The highest common binomial factor [Stage 5.3] 14.5 Factorisation patterns [Stage 5.3] 14.6 Factorising non-monic quadratics [Stage 5.3] 14.7 Simplifying algebraic fractions 2 [Stage 5.3] 14.8 Applications of binomial products [Stage 5.3] 14.9 Review Answers TOPIC 15 Quadratic relationships [Stage 5.3] 15.1 Overview 15.2 Graphs of quadratic functions [Stage 5.3] 15.3 Plotting points to graph quadratic functions [Stage 5.3] 15.4 Sketching parabolas of the form y = ax2 [Stage 5.3] 15.5 Sketching parabolas of the form y = ax2 + k [Stage 5.3] 15.6 Sketching parabolas of the form y = (x − h)2 [Stage 5.3] 15.7 Sketching parabolas of the form y = (x − h)2 + k [Stage 5.3] 15.8 Sketching parabolas of the form y = (x + a) (x + b) [Stage 5.3] 15.9 Applications [Stage 5.3] 15.10 Review Answers Glossary Index

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