Autumn term: first half Year 9 Scheme of Work Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods … Adding and subtracting 10,100,1000 mentally 3G ex 1D Rounding verbally 3G Ex 1E Year 9 Framework DD Periods Topic Objectives: pupils will be taught to NNS 3G FOUNDATION 6hrs Algebra 6hrs Shape and Space 3hrs Handling Data PBM/PDM 3B INTERMEDIATE DD 3R HIGHER Pg ref 4/9/02 5hrs Number F – Rounding, addition and subtraction, pen and paper methods Extend knowledge of powers of 10 number skills H only - begin to use Standard Form Add subtract, multiply and divide fractions Use rounding to make estimates, round to nearest whole number and to 1, 2 or 3 decimals places H only - round to Significant Figures Understand and use upper and lower bounds F –Positive and negative numbers Collecting like terms, simplifying equations Writing own formula Construct and solve linear expressions, with and without brackets, including negative numbers, using an appropriate method Factorise and algebraic expressions by taking out a single term common factor H only- Square a linear expression and expand the product of 2 linear expressions of the form : establish identities. F – Angles facts including types of angles opposite angles and angles made by parallel lines, angles in a triangle 36-9 66-9 42-7 EX 1A –1H ( select sections, some can be completed as verbal or mental exercises) Ex 4E Pg 64 Ex 6A Review + and – of simple fractions Ex 8A – 8C Ex 10C – D and 10G EX 4J, Ex 11E Ex 13D –13E Ex 16A –16E Ex 3A – 3C 122-5 Ex 14K Ex3D –3E (Ex 14 E – 14H) could be done later in 116-21 scheme Simple factors worksheet from 3B pg38 ------------ ------------ Ex 3A-3D Ex 9A –9G Pg 92 Ex 5A-5E Pg Ex 3E Pg 26-8 Ex 2A-2C ------------ --------------- Pg 31 Ex 2E Ex 2A –2D, 2F – 2G Ex 18A ------------ Key objectives in bold FOUNDATION WORK ONLY HIGHER WORK ONLY Pg 171-2 Ex8A-8B Worksheet Pg 1-2 Ex1A Ex 1C Pg 3-4 Ex 1B Review angles facts including interior and exterior 182-3 Worksheet for polygons (ICT task) angles of a polygon LOGO Ex18A Review parallel line angles 184-9 Solve angle problems including triangles, polygons, intersecting and parallel lines 186-9 Ex 2E H only – Understand and apply Pythagoras Theorem Ex2H (worksheet for polygons) Process and interpret graphs and diagrams on paper 256-67 Review Ex 9A – 9C(will be reviewed later) and using ICT using Scatter graphs, with line of best fit Ex 9G Understand correlation Line graphs including time series Ex 6F H only – frequency polygons 1hrs Review Assess Pg242 Ex 11B indicates work to be covered again indicates work that has been covered before Ex 2A – 2C could need supplementary worksheets Logo Ex 17A Pg 123 Ex6A-6G Logo Ex 19B ------------ Pg 260 Ex 13A –13C Pg 195 Ex 9B-9F Ex 17D Ex 8D & 8E Ex 5G Pg 154-160 Ex 7E-7F Worksheet Autumn term: second half Year 9 Scheme of Work Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods … Common fraction, decimal, percentage equivalents Square and cube numbers and their roots Year 9 Framework DD Periods Topic Objectives: pupils will be taught to 4hrs 5hrs 3hrs 2hrs 3G FOUNDATION PBM/PDM 3B INTERMEDIATE DD 3R HIGHER Page ref 25/10/02 6hrs NNS F – Mixed Number, Improper fractions, equivalent fractions, putting fractions in order of size. Change fractions to decimals and decimals to fractions. recognise that a recurring decimal is an exact fraction Recognise when fractions or percentages are needed to compare proportions. Solve problems involving percentages changes. Understand and use ratio and proportion Use proportional reasoning to solve problems H only – understand and use proportionality and calculate the results of any proportional change using multiplicative methods Algebra Use index notation for integer powers, know and use simple index laws Derive a formula, substitution in a formula and change the subject of a simple formula. H only – derive more complex formula and change the subject of a formula Shape and F- only lines points and shapes solids, nets and Space tessellation Transform 2D shapes by combination of translations, rotations and reflections on paper and with ICT Know that translation, rotation and reflections preserve length and angle Enlarge 2D shapes given centre of enlargement, recognise that enlargement preserves angle but not length. Understand that scale factor is a ratio of 2 corresponding lengths. H- enlarge 2 D shapes by a fractional scale factor Handling Use the vocabulary of probability in interpreting results data involving uncertainty or prediction. Identify all mutually exclusive outcomes of an experiment Know that the sum of probability of all mutually exclusive outcomes is 1 and use this when solving problems Estimate probability from experimental data H only – understand relative frequency as an estimate of probability and use this to compare outcomes of experiments Review Assess FOUNDATION WORK ONLY HIGHER WORK ONLY Review Ex 8 A – 8C thern do Ex 8D-8H Number ------------60-65 75 –7 78-81 Ex 11C –11D Ex 12A Ex 12B - 12C Ex 8J –8K Ex 8L Ex 12D Worksheet for recurring decimals Ex 14A – 14B Ex 14 C – 14E Ex 10H – 10I Ex 10J – 10K Pg 247-248 Ex 11E Pg 174-194 Ex 8C– 8H -----------114-15 Ex 3F 138-43 Ex 14A- 14D (not changing the subject) Ex 3F – 3G Ex 6E↓, Ex 6F – 6H Worksheet for change the subject Pg 10-21 Ex1F-1G Pg 99-4 Ex5G – 5I 138 41 202-07 Ex 7A – 7C Ex 7D -----------Ex 7A – 7D Cabri Ex 7F – 7G Logo Ex 17A 212-15 Worksheet based on 3B page 116 --- - --------276-7 ------------. Ex 13A – 13C 277-81 Ex 13E Pg294-319 Ex 15 A – 15C Logo Ex 19B Ex 7E Review Ex 7F -----------Ex 11A Pg 278 –288 Ex 14A-14D Ex 11B – 11D Ex 13D 282-3 ----- Key objectives in bold indicates work to be covered again indicates work that has been covered before ------------ Pg 289 –293 Ex 14E –14F Spring term: first half Year 9 Scheme of Work Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods … Year 9 Framework Periods Topic Objectives: pupils will be taught to NNS 3G FOUNDATION 6hrs Algebra F – Pen and paper methods of multiplication and division Check accuracy by using inverse operations find prime factors use ICT to find estimate square and cube roots H only know and use index laws for multiplication and division of positive integer powers Ex 4F – 4I Ex 4N 52-55 EX 4A - 4D 56-7 Ex 18F Ex 4K – 4M 56-9 use systematic trial and improvement methods and ICT as tools to find approximate solution to equations such as x2 + x = 20 Understand equivalence of simple algebraic fractions Solve problems using direct proportion using algebraic methods Relate equations to graphical representations H only solve a pair of simultaneous equations graphically 132-5 Do on board as a class exercise or, investigate using a calculator. Bring in problem solving skills. 60-65 Worksheet pg 163 Ex 9L in 3B 3hrs Handling Data 4hrs Review Assess DD 3R HIGHER ------------ -------------- Review Ex 6E Use of Spreadsheet Review from board or worksheet –Ex 19G pg 392 Review Ex 1F and 1G Pg14 Ex 1H –1J Use of Calculator Ex 19A Pg 106-8 Ex5K -----------Ex 9L Use of calculator Ex 17C Board exercise only Not done in foundation unless as class exercise from Pg 28-30 Ex2D Index law in algebra Ex 2F Review pg 178 Review Pg 180Ex 8F Pg 115 Ex 5O 136-7 board. 126-9 Review of Ex 14A to D - then do Ex 14E- 14G Review work done in year 8 on graphs of linear equations then do Ex 18 B using ICT. Ex 14J Ex 5A – 5F ------------ Pg 116 Ex5P, 5Q and 5R Use of Calculator Ex 19D Review units of measurement, use to calculate and solve variety of problems Convert between area measures i.e. cm 2 to m2 H only - use compound measure i.e. speed, to solve problems Know and use the formula for area and circumference of a circle, H only – arcs and sectors Calculate surface area and volume of right prisms H only - include cylinders Begin to use sine cosine and tangent ratios to solve problems in 2 dimensions. 228-31 Review units of measurement from board as class exercise then do Ex 15A –15G ---232-3 Review on board Pg 36 Ex 3A 3I- 3J Select questions from Ex 15A – 15C Ex 3B Ex 3F Ex 3D Construct and use tables for collection of discrete and continuous raw data, choosing suitable class intervals F – review Pie Charts Design and use two-way tables. Gather data from secondary sources, including printed tables and lists from ICT-based sources. H only – identifies possible sources of bias and plans how to eliminate it. 248-55 Review Ex9A –9C then do Ex 9D End of half year test based on KS 3 SAT’s Test. Key objectives in bold Solve linear inequalities in one variable and represent solution on a number line 6hrs Shape and space PBM/PDM 3B LOWER INTERMEDIATE Pg ref 6/1/03 2hrs Number DD FOUNDATION WORK ONLY HIGHER WORK ONLY --------Ex 15H – 15K 234-7 238-41 Ex 15L-15M 242-7 Pie Charts Ex 9F Worksheet Ex 13D –13E Pg 58 Ex 3K -.3N Ex3C and 3E 3G ---------Ex 15F – 15H use Ex 15H for surface area ----------- Ex 3H Volume fo cylinders Surface Area Investigation Ex 8A – 8B Conducts a survey Worksheets Worksheets Ex 19F Pg 342 Ex17A-17C Ex 9A with in class discussion. indicates work to be covered again indicates work that has been covered before Spring term: second half Year 9 Scheme of Work Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods … rapid recall of number facts find percentage, fraction and decimal of quantities use mental skills to check validity of answers decimals, percentage and fraction equivalence Year 9 Framework DD Periods Topic Objectives: pupils will be taught to NNS Pg ref 3G FOUNDATION 3hrs Number Make and justify estimate and approximation of 102-3 Ex 4J and Ex 4N calculations H only round using one significant figure in estimations Review and practice pen and paper methods of addition. 104-7 Ex1I - 1J Subtraction, division and multiplication Efficient use of a calculator, using powers ,roots fractions , brackets and memory H only - use of reciprocal key and standard form 4hrs Algebra Generate sequences using term to term and 148Ex 10A – 10E position to term definition of the sequence on paper 159 Ex 18E (ICT) and using ICT find and write an expression to describe the nth Ex 10F – 10G term of a sequence H only – find the nth term of a quadratic sequence Recognise square and triangular numbers sequences 5hrs Shape and Space 4hrs Handling Data 1hrs Review Assess Understand congruence and similarity H only – apply conditions SSS, SAS, ASA or RHS to establish the congruency of triangles. Know that if 2D shapes are similar corresponding angles are equal and corresponding sides are in the same ratio. Know that if 2D shapes are similar corresponding angles are equal and corresponding sides are in the same ratio. Know the definition of a circle and name its parts. Explain why a regular polygon can be inscribed in a circle by constructing equal divisions H only – know that the tangent of a point is at right angles to the radius and that a perpendicular line from the centre to a chord will bisect the line Visualise 3D object through 2 D representation Analyse 3D shapes through 2D projections using plans and elevations Use of averages mode, median and mean Understand range and distribution Compare two or more distributions and make inferences using the shape and distribution and range of data H only - Estimate the mean, median and interquartile range of a large set of grouped data. 190-91 EX7E PBM/PDM DD 3B LOWER INTERMEDIATE 3R HIGHER Ex 6I –6J Ex 1D-1E Review Ex 1A -worksheet --------Ex 13G and (Grid method from board) Ex 13H Worksheet or from board Ex 12B – 12D Review - past 3 half- terms work on powers and roots Ex 11C –11D Pg 320 Ex 16A-16H Ex 7H – 7I Pg 305-7 Ex15D-15H 192-3 194-97 Ex 7E Activity 2 Review Year 8 work Practical Investigation (See SMPB1) 198201 Worksheet Review Year 8 work Worksheet Worksheet Ex 7J Worksheet Pg 67 Ex4A – 4F Pg 224 Ex10D – 10E --- Ex 7F Ex5A –5D Ex 18D(ICT) Discussion of above work / worksheet 272-3 EX9C↑ Ex 9E (Histograms) 258-61 Key objectives in bold FOUNDATION WORK ONLY HIGHER WORK ONLY order, precedence and effect of powers recall of equivalence of measures indicates work to be covered again indicates work that has been covered before Ex 4A, 4D – 4E Summer term: first half Year 9 Scheme of Work Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods … Practice mental Arithmetic tests Year 9 Framework Periods Topic Objectives: pupils will be taught to NNS Pg ref 3G FOUNDATION 2hrs Number F – Addition and subtraction of decimals Ex 11A-11B Rounding decimals Review Ex 11D-11E Multiplying and dividing decimals Ex11F – 11H Review methods of calculation and check validity of Ex 11I answer by mental estimation 2hrs Algebra F - Review co-ordinates Generate points and plot the graph of a linear equation 160-3 Find the inverse of a linear function H only – plot the graph of an inverse linear function 144 –77 Given values for m and c, find the gradient and intercept of lines given by equations in the form of y = mx + c 164-71 Investigate graphs of parallel lines and lines perpendicular to these lines, plot graphs of simple and quadratic functions. Ex 6A - 6B Ex 18B (ICT) Ex 6C and 6E --- DD DD 3B LOWER INTERMEDIATE DD 3R HIGHER Ex 13I and 13J Do as discussion or starter -------Ex 5B – 5C Pg 160 Ex 7G Ex 5D – 5F PG 149 Ex 7D Ex 6D Pg 163 Ex7H Pg 165 Ex 7I 3 hrs SAT’s Revision SAT’s week 3hrs Shape and space 2 Hrs F - Convert metric to imperial measurers Use and interpret Maps and Scale drawings include bearings H only – find point that divide a line in a given ratio, use the properties of similar triangles Given the co-ordinates of A and B find the length of AB Ex7G 216-17 Worksheet 218-19 ---------Ex 2D – 2E --------- Prepare for investigation learn skills of how to approach investigations Ex 17 A – 17 C FOUNDATION WORK ONLY HIGHER WORK ONLY Key objectives in bold indicates work to be covered again indicates work that has been covered before Ex 16 A – 16D Review pg 148 Ex 6H Ex 17G Worksheet Ex 8E review work done in first term and extend using worksheets Ex 18A – 18D Summer term: second half Year 9 Scheme of Work Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods … Year 9 Framework DD Periods Topic Objectives: pupils will be taught to NNS 3G FOUNDATION DD DD 3B LOWER INTERMEDIATE 3R HIGHER Ch 16 for guidance Ch 18 for guidance Review of Ex 8B, 8D – 8E Ex 5G Pg 154 review Ex7E, then on to 7F Worksheet Pg 227 Ex 10E Pg ref 6hrs revision Yr 9 cross curriculum ICT Investigational task 4hrs Algebra construct functions arising from real life problems and plot their corresponding graphs, interpret graphs arising from real life situations including distance time graphs 172-7 Investigate graphs in the Media Construct a triangle given right-angle, hypotenuse and side (RHS) Use ICT to explore construction of triangles and other 2D shapes H only – realise from constructions that triangles given SSS, SAS,ASA,or RHS are unique but that SSA or AAA are not. Find the locus of a point both by reasoning and ICT H only - extend to more complex rules involving construction and loci Design a survey or experiment, collect data one or more source, determine sample size and degree of accuracy needed, design trial and if necessary refine data collection sheets Interpret graphs and diagrams and draw inferences to support or cast doubt on initial conjectures H only – look for cause and effect try to explain anomalies Communicate interpretations and results of a statistical enquiry using selected tables graphs and diagrams in support Compare experimental and theoretical probability in a range of contexts, appreciate the difference between mathematical explanation and experimental evidence H only – examines critically the results of a statistical enquiry and justifies choice of statistical representations recognising the limitations of any assumptions and their effect on conclusions drawn. H only – generate fuller solutions to mathematics problems and recognise limitations on the accuracy of data and measurements 220-23 Worksheet from 3B Ex 2G 5hrs Shape and Space 6hrs Handling Data Ch 17 for guidance Ex 6F Cabri 224-27 Worksheet from 3B Ex 2F Ex 2F – 2G Ex10F Review Ex 9A- 9B Review Ex 8A End of year statistical task 268-71 Complete a survey and display results End of year statistical task 272-75 284-5 In class discussion only Key objectives in bold 1hrs Review Assess FOUNDATION WORK ONLY HIGHER WORK ONLY Cabri indicates work to be covered again indicates work that has been covered before In class discussion only In class discussion only