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
10.4 Independent events and tree diagrams 3 Draw and use frequency trees Calculate probabilities of repeated events Draw and use tree diagrams (independent) Draw and use tree diagrams (dependent) Add and multiply fractions. Add and multiply decimals (less than 1) 10.5 Conditional probability 2 Decide if two events are independent Draw and use two way tables to calculate conditional probability Draw and use tree diagrams to calculate conditional probability Tree diagrams Two way tables Probability of something NOT happening. 10.6 Venn diagrams and set notation 2 Use venn diagrams to calculate probability Use set notation to construct venn diagrams Use venn diagrams to calculate conditional probability Venn diagrams Multiplicative reasoning 10 11.1 Growth and decay 2 Find an amount after repeated percentage changes Solve growth and decay problems Understand indices Work out decimal multiplier 11.2 Compound measures 2 Calculate rates Convert between metric speed measures Use a formula to calculate speed and acceleration Substitution 11.3 More compound measures 2 Solve problems involving compound measures Recall area of circle/volume of a prism 11.4 Ratio and proportion 4 Use relationships involving ratio Use direct proportion Use indirect proportion Decide whether quantities are in direct or indirect proportion End of Term 1 Test Spring - highlighted in yellow are difficult topics (possibly only set 1 to learn) Unit Lessons Objectives Prior Knowledge and congruence 10 12.1 Congruence 2 Show two triangles are congruent Know the conditions of congruence Recall basic angle facts 12.2 Geometric proof and congruence 1 Prove shapes are congruent Solve problems involving congruence Recall properties of special triangles and quadrilaterals
14.2 Cumulative frequency 2 Draw and interpret cumulative frequency tables and diagrams Work out the median, quartiles and interquartile range from a cumulative frequency diagram Find median of a data set 14.3 Box plots 2 Using the values, construct a box plot. Construct a box plot from a cumulative frequency diagram Compare box plots 14.4 Drawing histograms 2 Understand frequency density Draw histograms Division calculations 14.5 Interpreting histograms 1 Interpreting histograms 14.6 Comparing and describing populations 1 Compare two sets of data End of Term 2 Test Summer – highlighted in yellow are difficult topics (possibly only set 1 to learn) Unit Lessons Objectives Prior Knowledge Equations and graphs 10 15.1 Solving simultaneous equations graphically 2 Solve simultaneous equations graphically Plotting linear equations 15.2 Representing inequalities graphically 1 Represent inequalities on graphs Interpret graphs of inequalities Listing integers that satisfy inequalities 15.3 Graphs of quadratic functions 2 Recognise and draw quadratic functions Find maximum and minimum points 15.4 Solve quadratic functions graphically 3 Find approximate solutions to quadratic equations graphically Solve quadratic equations using an iterative process Solve quadratics by factorising Know and draw graphs of circles 15.5 Graphs of cubic functions 2 Find the roots of cubic equations Sketch graphs of cubic functions Solve cubic equations using an iterative process theorems 10 16.1 Radii and chords 1 Solve problems involving chords and radii Recall properties of isosceles/equilateral triangles 16.2 Tangents 2 Understand and use facts about tangents at a point and from a point Recall properties of isosceles/equilateral triangles