Mapping grid showing how the Australian Maths curriculum is covered by Boardworks Maths for Australia

Transcription

1 Year 7 Maths Section Unit Objectives Boardworks presentation title Investigate index notation and represent whole numbers as products of powers of prime numbers Index notation/prime factor decomposition Number and place value Investigate and use square roots of perfect square numbers Apply the associative, commutative and distributive laws to aid mental and written computation Squares and square roots Mental methods 1 Compare, order, add and subtract integers Adding and subtracting integers Number and Algebra Real numbers Compare fractions using equivalence. Locate and represent fractions and mixed numerals 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 Round decimals to a specified number of decimal places Connect fractions, decimals and percentages and carry out simple conversions Fractions Adding and subtracting fractions Multiplying and dividing fractions/multiplying and dividing decimals Expressing amounts as fractions/ Fractions of amounts Rounding decimals Fractions, decimals and percentages

2 Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies Calculating with percentages Recognise and solve problems involving simple ratios Ratio 1 Money and financial mathematics Investigate and calculate best buys, with and without digital technologies Percentage change Introduce the concept of variables as a way of representing numbers using letters Algebraic expressions 1 Patterns and algebra Create algebraic expressions and evaluate them by substituting a given value for each variable Substitution Extend and apply the laws and properties of arithmetic to algebraic terms and expressions Collecting like terms Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point Plotting graphs Linear and non-linear relationships Solve simple linear equations Linear equations Investigate, interpret and analyse graphs from authentic data Real-life graphs

3 Using units of measurement Establish the formulas for areas of rectangles, triangles an parallelograms and use these in problem solving Area 1 Calculate volumes of rectangular prisms Volume Shape Draw different views of prisms and solids formed from combinations of prisms Views of prisms Measurement and geometry Location and transformation Geometric reasoning Describe translations, reflections in an axis, and rotations of multiples of 90 on the Cartesian plan using coordinates. Identify line and rotational symmetries Identify corresponding, alternate and cointerior 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 Classify triangles according to their side and angle properties and describe quadrilaterals Demonstrate that the angle sum of a triangle is 180 and use this to find the angle sum of a quadrilateral Translation, Reflection, Rotation Angles Parallel lines Triangles and quadrilaterals 1 Interior angles

4 Chance Construct sample spaces for single-step experiments with equally likely outcomes Assign probabilities to the outcomes of events and determine probabilities for events Sample spaces Probability Statistics and probability Data representation and interpretation Identify and investigate issues involving continuous or large count data collected from primary and secondary sources Construct and compare a range of data displays including stem-and-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 and mean Continuous data Representing data Averages and range Averages and range

5 Year 8 Maths Section Unit Objectives Boardworks presentation title Use index notation with numbers to establish the index laws with positive integral indices and the zero index Index laws 1 Number and place value Carry out the four operations with integers, using efficient mental and written strategies and appropriate digital technologies Mental methods 2/Written methods Investigate terminating and recurring decimals Decimals Number and Algebra Real numbers Investigate the concept of irrational numbers, including π Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies Solve a range of problems involving rates and ratios, with and without digital technologies Irrational numbers Calculating with percentages 2 Ratio 2

6 Money and financial mathematics Solve problems involving profit and loss, with and without digital technologies Profit and loss Patterns and algebra Linear and non-linear relationships Extend and apply the distributive law to the expansion of algebraic expressions Factorise algebraic expressions by identifying numerical factors Simplify algebraic expressions involving the four operations Plot linear relationships on the Cartesian plane with and without the use of digital technologies Solve linear equations using algebraic and graphical techniques. Verify solutions by substitution Expanding algebraic expressions 1 Factorizing Algebraic expressions 2 Plotting linear graphs Solving linear equations

7 Choose appropriate units of measurement for area and volume and convert from one unit to another Area and volume Find perimeters and areas of parallelograms, rhombuses and kites Perimeter and area Using units of measurement Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving circumference and area Circles Develop the formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volume Volume formulae Measurement and geometry Geometric reasoning Solve problems involving duration, including using 12- and 24-hour time within a single time zone Define congruence of plane shapes using transformations Develop the conditions for congruence of triangles Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning Classify triangles according to their side and angle properties and describe quadrilaterals Demonstrate that the angle sum of a triangle is 180 and use this to find the angle sum of a quadrilateral Time and duration Congruence Triangle congruence Triangles and quadrilaterals 2 Parallel lines Triangles and quadrilaterals 1 Interior angles

8 Identify complementary events and use the sum of probabilities to solve problems Probability problems Chance Describe events using language of at least, exclusive or (A or B but not both), inclusive or (A or B or both) and and. Probability of events Statistics and probability Data representation and interpretation Represent such events in two-way tables and Venn diagrams and solve related problems Explore the practicalities and implications of obtaining representative data using a variety of investigative processes Explore the variation of means and proportions in representative data Investigate the effect of individual data values, including outliers, on the mean and media Probability diagrams Collecting data Averages and range Averages and range