10.3 Rotation 2 Rotate on a coordinate grid Desribe a rotation Know the number of degrees in fractions of a turn Understand and use the words clockwise and anticlockwise 10.4 Enlargement 2 Enlarge a shape by a scale factor Enlarge a shape using a centre of enlargement Multiply lengths 10.5 Describing enlargements 2 Identify the scale factor of an enlargement Find the centre of enlargement Describe an enlargement 10.6 Combining transformations 2 Transform shapes using more than one transformation Describe combined transformation of shapes on a grid Identify the types of transformations Ratio and proportion 17 11.1 Writing ratios 1 Use notation Write a ratio in its simplest form Multiply and divide whole numbers 11.2 Using ratios 1 2 Solve simple problems using ratios Find HCF of a pair of numbers 11.3 Ratios and measures 2 Use ratios to convert between Write and use ratios for shapes and their enlargements 11.4 Using ratios 2 3 Divide a quantity into 2 parts in a given ratio Divide a quantity into 3 parts in a given ratio Solve word problems using ratios Write ratios using correct notation 11.5 Comparing using ratios 2 Use ratios involving decimals Compare ratios Solve ratio and proportion problems Inerpret ratios 11.6 Using proportion 3 Use the unitary method to proportion problems proportion problems in words Work out which product is better value for money Write a ratio in the form 1:n 11.7 Proportion and graphs 2 Recognise and use direct proportion on a graph Understand the link between the unit ratio and gradient Understand and use y=mx+c Plot a line graph 11.8 Proportion problems 2 Recognise different types of proportion Solve word problems involving direct and inverse problems Relate common sense to real life problems
End of Term 1 Test Spring - highlighted in yellow are difficult topics (possibly only set 3 to learn) Unit Lessons Objectives Prior Knowledge Right angled triangles 12 12.1 Pythagoras Theorem 1 2 Understand Pythagoras’ theorem Calculate the length of the hypotenuse in a right-angled triangle Solve problems using Pythagoras Calculate of simple squares and square roots Substitute into expressions Round answers to a specific degree of accuracy 12.2 Pythagoras’ theorem 2 2 Calculate the distance between two co-ordinates Calcualte the length of a shorter side in a angled triangle 12.3 Trig: the sine ratio 12.4 (SOH) 2 Use the sine to calculate the lengths of a side in a right angled triangle Use the sine ratio to calculate an angle in a right angled triangle Substitution Calculator use 12.5 Trig: the cosine ratio (CAH) 2 Use the cosine ratio to calculate the lengths of a side in a right angled triangle Use the cosine to calculate an angle in a right angled triangle Substitution Calculator use 12.6 Trig: the tan ratio (TOA) 2 Use the tan ratio to calculate the lengths of a side in a right angled triangle Use the tan ratio to calculate an angle in a right angled triangle Substitution Calculator use 12.7 Trigonometry 2 Identify when to use which trig ratio Know exact values of sine, cosine and tangent of some certain angles Probability 14 13.1 Calculating probability 2 Calculate simple probabilities from equally likely events Understand mutually exclusive and exhaustive outcomes Add and subtract fractions/decimals 13.2 Two events 2 Use two way tables to record the outcomes rom two events Work out probabilities from sample space diagrams 13.3 Experimental probability 1 Find and interpret probabilities based on experimental data
Make predictions from experimental data 13.4 Venn diagrams 3 Plot venn diagrams Use venn diagrams to work out probabilities Understand the language of sets and set notation Calculate probabilities List primes and muiltiples 13.5 Tree diagrams 4 Plot and use frequency trees Plot and use tree diagrams (independent – with replacement) Work out probabilities using tree diagrams Understand meaning of independent events Calculate with fractions (multiplying/adding) Calculate with decimals (multiplying/adding) Work out probability of something NOT happening 13.6 More tree diagrams 2 Understand when events are not independent Draw and use tree diagrams for dependent events Work out probabilities using these dependent tree diagrams Calculate with fractions (multiplying/adding) Calculate with decimals (multiplying/adding) Work out probability of something NOT happening Multiplicative reasoning 13 14.1 Percentages 4 Calculate a percentage profit or loss Express a given number as a percentage of another Find the original amount given the final amount after a percentage increase or decrease Work out percentage increase and decrease 14.2 Growth and decay 2 Find an amount after repeated percentage change Solve growth and decay problems Write powers of numbers in index form 14.3 Compound measures 2 Solve problems involving compound measures 14.4 Distance, speed and time 2 Convert between metric measures Calculate average distance and time Use formulae to calculate and accleration 14.5 Direct and inverse proportion 3 Use ratio and proportion in measures and conversions Use inverse proportion End of Term 2 Test Summer – highlighted in yellow are difficult topics (possibly only set 1 to Unit Lessons Objectives Prior Knowledge
Constructions, loci and bearings 20 15.1 3D solids 2 Recognise 3D shapes and their properties Describe 3D shapes using the correct mathematical words Understand the 2D shapes that make up 3D objects Recall of common 2D shapes 15.2 Plans and elevations 3 Identify and sketch places of symmetry of 3D shapes Understand and draw plans and elevations of 3D shapes Sketch 3D shapes based on their plans and elevations Identiy names of 2D shapes Recall names of common 3D shapes 15.3 Accurate drawings 1 4 Make accurate drawings of triangles using a ruler & protractor Draw triangles using SSS, ASA, SAS with a ruler and compass Identify congruent triangles 15.4 Scale drawings and maps 3 Draw diagrams to scale Correctly interpret scales in contexts Use scales on maps and diagrams to work out lengths and distances Know when to use measurements and estimations on scale drawing and maps Draw lengths and distances correctly on given scale drawings Work out scale factor of an enlargement 15.6 Constructions 3 Draw accurately rulers and compasses Bisect angles and lines using rulers and compasses Identify parallel and perpendicular lines 15.7 Loci and regions 2 Draw loci for the path of points that follow a given rule Identify regions bounded by loci to solve practical problems Construct bisectors 15.8 Bearings 3 Measure and construct figure bearings Use angles at parallel to work out bearings Solve problems involving bearings and scale diagrams Measure and plot angles accurately using a protractor Recall properties of angles a t a point/straight line Quadratic equations and graphs 13 16.1 Expanding double brackets 3 Multiply double brackets Recognise quadratic expressions Square single brackets Multiply a single term Simplify algebraic expressions
Before Year 11 – highlighted in yellow are difficult topics (possibly only set 3 to Unit Lessons Objectives Prior Knowledge Fractions, indices and standard form 10 18.1 Multiplying and dividing fractions 2 Multiply and divide mixed numbers and improper fractions Simple operations of fractions 18.2 Laws of indices 3 Multiplying index law Dividing index law Brackets index law Power of zero Negative law Evaluate simple powers Know the word reciprocal 18.3 Writing numbers in standard form 2 Convert large numbers into standard form and vice versa Convert small numbers into standard form and vice versa Evaluate powers of 10 Multiply and divide by powers of 10 18.5 Calculating with standard form 3 Multiply and divide numbers in standard form Add and subtract numbers in standard form Convert numbers to and from standard form Congruence, similarity and vectors 11 19.1 Similarity and enlargement 1 Understand similarity Use similarity to solve angle problems 19.2 More similarity 1 Find the scale factor of an enlargement Identify similar shapes 19.3 similarity 3 Understand the similarity of regular polygons to find missing sides Calculate perimeters of similar shapes 19.4 Congruence 2 Recognise congruent shapes Use congruence to work out unknown angles Use congruence to work out unknown sides Sum of angles in a triangle Corresponding and alternate angles 19.6 Vectors 4 Add and subtract vectors in column form Find the resultant of two vectors Multiply a vector by a scale factor Identify parallel vectors Simple geometric vector problems Add and subtract negative numbers Recall column vectors from translation More algebra 11 20.1 Graphs of and reciprocal functions 2 Draw and interpret graphs of cubic functions Draw and interpret graphs of y=1/x Recognise the shapes of linear and quadratic graphs Find reciprocal of fractions and integers 20.2 Non-linear graphs 1 Draw and interpret non-linear graphs to solve problems