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A completely new text in the Essential Mathematics Series for students needing additional support. This is a mainstream text covering all of the concepts, skills and applications of the CSF II at Year 9. The innovative coordinated system of worked examples and exercises ensures success and generates confidence. A focus on maintaining key skills and understanding fundamental mathematical terms are features of this book. A pivotal alternative mainstream text that allows students to progress to VCE Mathematics courses via Essential Mathematics 10: The CSF 11 Course or Essential Mathematics Gold 10: The CSF 11 Course.
Introduction; 1 Computation skills: 1.1 Order of operations, 1.2 Estimation, 1.3 Negative numbers - addition and subtraction, 1.4 Negative numbers - multiplication and division, 1.5 Fractions and ratios, 1.6 Applications of ratio, 1.7 Percentages, 1.8 Percentage applications - cost price and selling price, 1.9 Discount and commission, Investigation - Fractions and ratios, Investigation - Investment, Chapter review; 2 Indices and scientific notation: 2.1 Index form (exponential notation), 2.2 Index laws 1 and 2, 2.3 Index laws 3 and 4, 2.4 Index laws 5 and 6, 2.5 Negative indices, 2.6 Scientific notation or standard form, 2.7 Calculators#$ calculations and scientific notation, Investigation - Squares in a chessboard, Chapter review; 3 Drawing and making shapes: 3.1 Angles, 3.2 Constructing angles, 3.3 Parallel lines, 3.4 Triangles and their properties, 3.5 Constructing unique triangles, 3.6 Congruent triangles, 3.7 Quadrilaterals, 3.8 Solid figures, 3.9 Nets, 3.10 Two-dimensional representations of solids, Investigation - Complex designs, Investigation - Whereï¿½s the windmill?, Chapter review; 4 Data and statistics: 4.1 Types of data, 4.2 Collecting data, 4.3 Column graphs, 4.4 More column graphs, 4.5 Histograms, 4.6 Dot plots, 4.7 Stem and leaf plots, 4.8 The mean#$ mode and range (ungrouped data), 4.9 The mean and mode from frequency tables, Investigations - Collecting and interpreting statistics, Sports statistics, Chapter review; 5 Algebra: 5.1 Writing algebraic expressions, 5.2 Simplifying algebraic expressions - addition and subtraction, 5.3 Simplifying algebraic expressions - multiplication and division, 5.4 The distributive law, 5.5 Factorising bycommon factors, 5.6 Linear equations and backtracking, 5.7 Solving linear equations using inverse operations, 5.8 Setting up equations, 5.9 Working with brackets, 5.10 Inequations, Investigation - Amazing squares, Investigation - Hexagon fences, Chapter review; 6 Linear relations: 6.1 Plotting straight-line graphs, 6.2 Sketching linear relations using the two-intercept method, 6.3 Special lines - lines with one intercept, 6.4 Gradient, 6.5 Gradient#$ intercepts and y = mx + c, 6.6 Applications using straight lines, 6.7 Rates - tables and formulas, 6.8 Rates and conversion graphs, 6.9 Rates and travel graphs, Investigation - The longest jump, Investigation - International system of units, Chapter review; 7 Length#$ area and volume: 7.1 Length and perimeter, Investigation - Perimeters, 7.2 Area, 7.3 Further problems involving area, 7.4 Circles, 7.5 Composite shapes with circles, 7.6 Total surface area, 7.7 Total surface area of cylinders, 7.8 Volume of prisms, 7.9 Further volume problems, 7.10 Estimation, 7.11 Conversion of units, Investigation - Depth, Chapter review; 8 Pythagorasï¿½ theorem, 8.1 The hypotenuse, 8.2 Finding the lengths of sides other than the hypotenuse, 8.3 Simple applications of Pythagorasï¿½ theorem, 8.4 Drawing right-angled triangles and further applications, 8.5 Pythagoras in three dimensions, 8.6 Pythagorean triads, Investigation - Pythagorasï¿½ proof, Chapter review; 9 Statistics 2: 9.1 Planning class intervals, 9.2 Relative frequency, 9.3 Cumulative frequency, 9.4 Median (ungrouped data), 9.5 Quartiles (ungrouped data), 9.6 Box plots, 9.7 Quartiles and box plots, 9.8 Cumulative relative frequency, 9.9 Cumulative frequency curves and percentiles, 9.10 Quartiles, Investigations - Collecting and organising data, Gathering data - ruler catching, The median and the 50th percentile, Chapter review; 10 Probability: 10.1 Chance, 10.2 Long run proportion, 10.3 Theoretical probability, 10.4 Combined events and tables, 10.5 Tree diagrams, 10.6 Probabilities as odds, 10.7 Experimenting with technology, Investigation - How many in the bag?, Chapter review; 11 Transformation: 11.1 Translation, 11.2 Rotation, 11.3 Order of rotational symmetry, 11.4 Reflection, 11.5 Line of symmetry, Investigation - Finding the centre of rotation, Chapter review; 12 Algebra 2: 12.1 Translati