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Mathematics Year 7 Beaufort Secondary College Year 7 Mathematics Textbook: Essential Mathematics Scope and sequence. Semester One Chapter Topic Strands Learning intentions One Whole numbers Number and Algebra Apply the associative, commutative and distributive laws to aid mental and written computation. Two Geometry Measurement and Geometry Three Number properties and patterns. Number and Algebra Four Fractions and percentages. Number and Algebra Identify corresponding, alternate and co-interior angles when two parallel straight lines are crossed by a transversal. Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning. Investigate index notation and represent whole numbers as products of powers of prime numbers. Investigate and use square roots of perfect square numbers. Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point. Investigate, interpret and analyse graphs from authentic data. Compare, order, add and subtract integers. Compare fractions using equivalence. Locate and represent fractions and mixed numbers on a number line. Solve problems involving addition and subtraction of fractions, including those with unrelated denominators. Multiply and divide fractions and decimals using efficient written strategies and digital technologies. Express one quantity as a fraction of another, with and without the use of digital technologies. Connect fractions, decimals and percentages and carry out simple conversions. Find percentages of quantities and express one quantity as a Greg Walton Beaufort Secondary College 2013 Mathematics is easy, it just takes hard work. Mathematics Year 7 Five Algebra Six Decimals Greg Walton Beaufort Secondary College 2013 Number and Algebra percentage of another, with and without digital technologies. Recognise and solve problems involving simple ratios. Investigate and calculate 'best buys', with and without digital technologies. Introduce the concept of variables as a way of representing numbers using letters. Create algebraic expressions and evaluate them by substituting a given value for each variable. Extend and apply the laws and properties of arithmetic to algebraic terms and expressions. Multiply and divide fractions and decimals using efficient written strategies and digital technologies. Express one quantity as a fraction of another, with and without the use of digital technologies. Round decimals to a specified number of decimal places. Connect fractions, decimals and percentages and carry out simple conversions. Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies. Investigate and calculate 'best buys', with and without digital technologies. Mathematics is easy, it just takes hard work. Mathematics Year 7 Semester Two Chapter Topic Strands Learning intentions Six Decimals Number and Algebra Seven Negative numbers Number and Algebra Multiply and divide fractions and decimals using efficient written strategies and digital technologies. Express one quantity as a fraction of another, with and without the use of digital technologies. Round decimals to a specified number of decimal places. Connect fractions, decimals and percentages and carry out simple conversions. Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies. Investigate and calculate 'best buys', with and without digital technologies. Compare, order, add and subtract integers. Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point. Eight Statistics and Probability. Statistics and Probability. Nine Polygons, solids Measurement and and Geometry transformations. Greg Walton Beaufort Secondary College 2013 Construct sample spaces for single-step experiments with equally likely outcomes. Assign probabilities to the outcomes of events and determine probabilities for events. Identify and investigate issues involving numerical data collected from primary and secondary sources.
Construct and compare a range of data displays including stemand-leaf plots and dot plots. Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data.
Describe and interpret data displays and the relationship between the median, mean and range. Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries. Mathematics is easy, it just takes hard work. Mathematics Year 7 Ten Equations Eleven Measurement Greg Walton Beaufort Secondary College 2013 Number and Algebra Measurement and Geometry Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral. Classify triangles according to their side and angle properties and describe quadrilaterals. Solve simple linear equations. Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving. Calculate volumes of rectangular prisms. Draw different views of prisms and solids formed from combinations of prisms. Mathematics is easy, it just takes hard work.