Expand binomial products and factorise monic quadratic expressions using a variety of strategies Substitute values into formulas to determine an unknown Plot linear relationships Find the distance Solve problems Describe, interpret and on the Cartesian plane between two points involving linear sketch parabolas, with and without the located on a Cartesian equations, including hyperbolas, circles and use of digital plane using a range of those derived from exponential functions technologies strategies, including formulas and their Solve linear equations graphing software Solve linear inequalities transformations using algebraic and Sketch linear graphs and graph their Solve simple graphical techniques. using the coordinates of solutions on a number exponential equations Verify solutions by two points line Apply understanding of substitution Find the midpoint and Solve linear polynomials to sketch a gradient of a line simultaneous equations, range of curves and segment (interval) on using algebraic and describe the features of the Cartesian plane graphical techniques these curves from their using a range of including using digital equation strategies, including technology Factorise monic and relationships graphing software Solve problems non-monic quadratic Sketch simple non-linear involving parallel and expressions and solve a relations with and perpendicular lines wide range of quadratic without the use of Explore the connection equations derived from non-linear digital technologies between algebraic and a variety of contexts and graphical representations of Linear relations such as simple quadratics, circles and exponentials using digital technology as appropriate Solve linear equations involving simple algebraic fractions Solve simple quadratic equations using a range of strategies Year 8 Year 9 Year 10 Year 10A Choose appropriate units Calculate the areas of Solve problems involving Solve problems of measurement for area composite shapes surface area and volume involving surface area and volume and convert Calculate the surface area for a range of prisms, of and volume of right from one unit to another and volume of cylinders cylinders and composite pyramids, right cones, Find perimeters and areas and solve related problems solids units spheres and related of parallelograms, Solve problems involving composite solids rhombuses and kites the surface area and measurement Using Investigate the relationship volume of right prisms between features of circles Investigate very small and
Expand binomial products and factorise monic quadratic expressions using a variety of strategies Substitute values into formulas to determine an unknown Linear and non-linear relationships 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 Find the distance between two points located on a Cartesian plane using a range of strategies, including graphing software Sketch linear graphs using the coordinates of two points Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing software Sketch simple non-linear relations with and without the use of digital technologies Solve problems involving linear equations, including those derived from formulas Solve linear inequalities and graph their solutions on a number line Solve linear simultaneous equations, using algebraic and graphical techniques including using digital technology Solve problems involving parallel and perpendicular lines Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate Solve linear equations involving simple algebraic fractions Solve simple quadratic equations using a range of strategies Describe, interpret and sketch parabolas, hyperbolas, circles and exponential functions and their transformations Solve simple exponential equations Apply understanding of polynomials to sketch a range of curves and describe the features of these curves from their equation Factorise monic and non-monic quadratic expressions and solve a wide range of quadratic equations derived from a variety of contexts Year 8 Year 9 Year 10 Year 10A Using units of measurement Choose appropriate units of measurement for area and volume and convert from one unit to another Find perimeters and areas of parallelograms, rhombuses and kites Investigate the relationship between features of circles Calculate the areas of composite shapes Calculate the surface area and volume of cylinders and solve related problems Solve problems involving the surface area and volume of right prisms Investigate very small and Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids