factorise monic quadratic expressions using a variety of strategies – 7–10 Year 7 Year 8 Year 9 Year 10 Year 10A Patterns and algebra Substitute values into formulas to determine an unknown Linear and non-linear Given coordinates, plot points on the Plot linear relationships on the Find the distance between two Solve problems involving linear Describe, interpret and sketch relationships Cartesian plane, and find coordinates Cartesian plane with and without the points located on the Cartesian equations, including those derived parabolas, hyperbolas, circles and for a given point use of digital technologies plane using a range of strategies, from formulas exponential functions and their including graphing software transformations Solve simple linear equations Solve linear equations using algebraic Find the midpoint and gradient of a Solve linear inequalities and graph Solve simple exponential equations and graphical techniques. Verify line segment (interval) on the their solutions on a number line solutions by substitution Cartesian plane using a range of strategies, including graphing software Investigate, interpret and analyse Sketch linear graphs using the Solve linear simultaneous equations, Apply understanding of polynomials graphs from authentic data coordinates of two points and solve using algebraic and graphical to sketch a range of curves and linear equations techniques, including using digital describe the features of these technology curves from their equation Graph simple non-linear relations Solve problems involving parallel Factorise monic and non-monic with and without the use of digital and perpendicular lines quadratic expressions and solve a technologies and solve simple wide range of quadratic equations related equations derived from a variety of contexts 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
factorise monic quadratic expressions using a variety of strategies – 7–10 Year 7 Year 8 Year 9 Year 10 Year 10A Patterns and algebra Substitute values into formulas to determine an unknown Linear and non-linear relationships Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point Plot linear relationships on the Cartesian plane with and without the use of digital technologies Find the distance between two points located on the Cartesian plane using a range of strategies, including graphing software Solve problems involving linear equations, including those derived from formulas Describe, interpret and sketch parabolas, hyperbolas, circles and exponential functions and their transformations Solve simple linear equations Solve linear equations using algebraic and graphical techniques. Verify solutions by substitution Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing software Solve linear inequalities and graph their solutions on a number line Solve simple exponential equations Investigate, interpret and analyse graphs from authentic data Sketch linear graphs using the coordinates of two points and solve linear equations Solve linear simultaneous equations, using algebraic and graphical techniques, including using digital technology Apply understanding of polynomials to sketch a range of curves and describe the features of these curves from their equation Graph simple non-linear relations with and without the use of digital technologies and solve simple related equations Solve problems involving parallel and perpendicular lines Factorise monic and non-monic quadratic expressions and solve a wide range of quadratic equations derived from a variety of contexts 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