Year 10 Higher Sets 1 & 2 – Autumn highlighted in yellow are difficult topics (possibly only set 1 to – Unit Lessons Objectives Prior Knowledge Equations and 15 inequalities 9.1 Solving quadratic 2 Solve simple quadratic equations Factors of a number equations 1 (including rearranging) of the form x2+bx+c Finding the roots of quadratic functions 9.2 Solving quadratic 3 Solve more complex quadratic Expanding 2 brackets equations 2 equations of the form ax2+bx+c Use quadratic formula to solve quadratics 9.3 Completing the 2 Complete the square for a Simplify surds square quadratic (both a=1 and a>1) Solve quadratics by completing the square 9.4 Solving simple 2 Solve simple simultaneous Solve simple equations simultaneous equations equations (one is multiplied) Substitution Solve simultaneous equations for real life (worded) situations 9.5 More simultaneous 2 Solve linear simultaneous Solve simple equations equations where both equations simultaneous equations are multiplied Solve simultaneous equations for real life (worded) situations 9.6 Solve linear and 2 Solve simultaneous with one Solve quadratic quadratic simultaneous quadratic equation (substitution equations equations method) Use real life situations to construct equations and solve 9.7 Solving linear 2 Solve inequalities and show the List integers in an inequalities solution on a number line inequality Probability 10 10.1 Combined events 1 Use product rule for finding the List all outcomes for a number of outcomes single event List all possible outcomes of two systematically. events in a sample space diagram 10.2 Mutually exclusive 1 Find the probabilities of mutually Add decimals/fractions events exclusive outcomes/events Subtract Find the probability of something decimals/fractions from not happening 1 10.3 Experimental 1 Work out expected results for Simplify fractions probability experimental and theoretical probabilities Compare real results (do an experiment!) with theoretical values to see if they relate
Year 10 Higher – Sets 1 & 2 Autumn – highlighted in yellow are difficult topics (possibly only set 1 to Unit Lessons Objectives Prior Knowledge Equations and inequalities 15 9.1 Solving quadratic equations 1 2 Solve simple quadratic equations (including rearranging) of the form x2+bx+c Finding the roots of quadratic functions Factors of a number 9.2 Solving quadratic equations 2 3 Solve more complex quadratic equations of the form ax2+bx+c Use quadratic formula to solve quadratics Expanding 2 brackets 9.3 Completing the square 2 Complete the square for a quadratic (both a=1 and a>1) Solve quadratics by completing the square Simplify surds 9.4 Solving simple simultaneous equations 2 Solve simple simultaneous equations (one is multiplied) Solve simultaneous equations for real life (worded) situations Solve simple equations Substitution 9.5 More simultaneous equations 2 Solve linear simultaneous equations where both equations are multiplied Solve simultaneous equations for real life (worded) situations Solve simple simultaneous equations 9.6 Solve linear and quadratic simultaneous equations 2 Solve simultaneous with one quadratic equation (substitution method) Use real life situations to construct equations and solve Solve quadratic equations 9.7 Solving linear inequalities 2 Solve inequalities and show the solution on a number line List integers in an inequality Probability 10 10.1 Combined events 1 Use product rule for finding the number of outcomes List all possible outcomes of two events in a sample space diagram List all outcomes for a single event systematically. 10.2 Mutually exclusive events 1 Find the probabilities of mutually exclusive outcomes/events Find the probability of something not happening Add decimals/fractions Subtract decimals/fractions from 1 10.3 Experimental probability 1 Work out expected results for experimental and theoretical probabilities Compare real results (do an experiment!) with theoretical values to see if they relate Simplify fractions
Year-10-Higher-Set-1-2.docx