About the Book
Essential Mathematics for the CSF 7 has been written specifically for the Victorian CSF Mathematics course. The series of books create a course of study from Years 7 to Years 10 using the CSF and the Sample Course as their base. The authors have also added in extra areas of study where practising teachers have requested that these areas remain part of their teaching. Thus, Essential Mathematics for the CSF is a complete course of study which is CSF specific and reflects the needs of teachers of mathematics in Victoria and builds on long standing successful classroom teaching practices. The material has been extensively trialled in schools. Together with the exciting full colour and creative design makes this series a new step in the creation of maths resources for Victorian schools.
Table of Contents:
Acknowledgments; Legend; Introduction; 1. Number review, 1.1. Place value, 1.2. Whole number addition, 1.3. Whole number subtraction, 1.4. Whole number multiplication, 1.5. Whole number division, 1.6. Applying whole numbers, 1.7. Order of operations, 1.8. Estimating numbers; 2. Numbers and money, 2.1. Naming fractions, 2.2. Equivalent fractions, 2.3. Fractions of quantities, 2.4. Decimal fractions, 2.5. Approximation and estimation, 2.6. Comparing common and decimal fractions, 2.7. Addition and subtraction of decimal fractions, 2.8. Multiplication and division by multiples of 10, 2.9. Multiplication of decimal fractions, 2.10. Division of decimal fractions, 2.11. Applications of decimals using the calculator; 3. Number patterns and symbols, 3.1. Generating number patterns from rules, 3.2. Exploring number patterns, 3.3. Exploring spatial patterns, 3.4. Finding rules for spatial patterns, 3.5. Using rules, 3.6. Finding rules for number patterns using differences; 4. Triangles and quadrilaterals, 4.1. Naming and measuring angles, 4.2. Drawing scalene, equilateral and isosceles triangles, 4.3. Right-angled, acute-angled and obtuse-angled triangles, 4.4. Drawing triangles given a combination of sides and angles, 4.5. Quadrilaterals and parallelograms, 4.6. The angle sums of triangles and quadrilaterals; 5. Length, mass and time, 5.1. Systems of measurement, 5.2. Length, 5.3. Reading scales, 5.4. Conversion of units of length, 5.5. Perimeter, 5.6. Measuring the circumference of a circle, 5.7. Calculating the circumference of a circle, 5.8. Mass, 5.9. Time, 5.10. Units of time; 6. Expressions, symbols and rules, 6.1. Algebraic expressions, 6.2. Simplifying algebraic expressions using addition and subtraction, 6.3. Simplifying algebraic expressions using multiplication and division, 6.4. The distributive law, 6.5. Evaluating expressions, 6.6. Formulae; 7. Whole number patterns, 7.1. Multiples and factors, 7.2. Prime and composite numbers, 7.3. Number patterns, 7.4. Index notations, 7.5. Squares and square roots, 7.6. Making multiplication easier, 7.7. Divisibility of numbers; 8. Probability, 8.1. Describing probability, 8.2. Probability - equally likely outcomes, 8.3. Probability as long-run proportion, 8.4. Applying long-run proportion; Cyclic revision A; 9. Coordinates, maps and networks, 9.1. Locating position in two dimensions, 9.2. Using grids to enlarge or reduce, 9.3. Maps and compass bearings, 9.4. Maps and true bearings, 9.5. Working with maps, 9.6. Contour lines, 9.7. Networks; 10. Statistical data, 10.1. Introduction to statistics, 10.2. Picture graphs, 10.3. Column and bar graphs, 10.4. Line graphs, 10.5. Circle graphs, 10.6. Stem plots, 10.7. Frequency tables, column graphs and dot plots, 10.8. Analysing data - mean, median, mode and range, 10.9. Spreadsheet charts; 11. Equations and inequations, 11.1. Equations, 11.2. Solving equations by inspection, 11.3. Using 'guess, check and improve' to solve equations, 11.4. Using backtracking to solve number puzzles and equations, 11.5. Number machines, 11.6. Algebraic solutions of one-step equations involving addition and subtraction, 11.7. Algebraic solutions of one-step equations involving multiplication and division, 11.8. Two-step equations, 11.9. Formulae, 11.10. Inequations, 11.11. Solving inequations; 12. Polygons and polyhedra, 12.1. Naming polygons, 12.2. Angles and polygons, 12.3. Exterior angles, 12.4. Symmetry, 12.5. Congruence of polygons, 12.6. Polygons, nets and polyhedra; 13. Operations and order (fractions and percentages), 13.1. Fractions - revision, 13.2. Lowest common denominator, 13.3. Ratios and fractions, 13.4. Addition and subtraction of fractions, 13.5. Multiplying fractions, 13.6. Dividing fractions, 13.7. Percentages, 13.8. Operations with percentages; 14. Area, volume and capacity, 14.1. Area, 14.2. Area of a rectangle, 14.3. Areas of shapes b