Autumn term: first half Year 8 Scheme of Work Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods … Recall of numbers facts Add, subtract, multiply and divide integers Make approximation and justify estimated answers verbally Recognise and use prime numbers square numbers and Explain their process of thinking when explaining a problem solved. square roots Explain their methods of mental arithmetic Year 8 Framework Date & Topic Objectives: pupils will be taught to 2G FOUNDATION 2B INTERMEDIATE 2R HIGHER Hours 5/9/01 4 Number Review place value ordering and rounding (including decimals) Pg6 Ex 1C- 1D, Pg 123Ex 8H Pg 2-5 Ex 1A-1B, Pg 122 Ex 8F, Pg 1-3Ex 1A, Pg 8-9 Ex 1D CAME Task 19 ACCURACY AND ERRORS Pg 125 Ex 8H, Pg 124 Ex 8G Review reading writing positive integer powers of 10, multiply and divide Pg 12-14 Ex 1H ( not 0.1 etc) Pg 8-13 Ex 1D-1F, Pg 122 Ex 8C Worksheet by decimals 0.1, 0.01, 0.01 pg58 Ex 3H, Use square cube and their roots, use index notation. Pg 51-52 Ex 3G Pg 54-55 Ex 3F, Pg 63-64 Ex 3M Pg5 Ex 1C, Number operations and the relationships, understand and use the inverse Pg 76 –83 Ex 5B –5E,* Pg 13 Ex 1G, operations including the use of brackets (*as a start for brackets in Pg205-207 Ex 13D* Worksheet from 2G Ex 13D* Worksheet from 2G Ex 13D* Algebra algebra) Pg 65-72 Ex 4B –4F Pg 69-71 Ex 4B-4C Pg 160-161 Ex 10A, 4 Simplify linear expression by collecting like terms Pg 63-64 Ex 4A, 201-203 Ex 13A, Pg 67-68 Ex 4A Pg 233-237 Ex 14A – 14B, Review constructing an equation previously expressed in words Pg209-214 Ex 13G – 13I, Pg 238-241 Ex14C - 14E Solve simple linear equations Pg205-207 Ex 13D *worksheet Pg 73 Ex 4D- 4E Pg 164-168 Ex10D –10F Multiply out brackets in algebra for algebra Know and use inverse operations to help solve problems, know and use Pg 76 –83 Ex 5B –5E* Starter 10.2, 14.1 facts that algebraic operations follow the same laws and order as Shape & Space arithmetic operations (*linked with number operations in pervious topic on Number) Pg 132 Ex9A Worksheet Pg29-31Ex 2J 4 Pg 30, 37-38, Pg 39-40, Ex2C-2J Pg 31-38 Ex 2H-2I, 2K Pg 19-26 Ex 2D-2G , Identify alternate and corresponding angles Know and use angles of a triangle add up to 180o and a quadrilateral adds up to 360o Solve problems using side and angle properties of equilateral, isosceles Pg 133-134 Ex 9B Pg 139-141 Ex 9B, Starter 2.8 and right angled triangles and special quadrilaterals, explaining reasoning Understand if 2D shapes are congruent then their corresponding sides Pg 137-140 Ex 9E –9G Pg 144-151 Ex 9E-9H Pg 124-129 Ex7G-7I and angles are equal. Handling data Know and use geometric properties of cuboids and shapes made from cuboids, begin to use plans and elevations. 4 Starter 13.1A Decide on a problems that can be addressed by statistical methods and Pg 182-183 Ex 12A identify related questions to explore, Pg 183-188Ex12A-12B Decide which data to collect and how to collect the data including the Pg 182-184 Ex 12A Q4, Q6 sample size Pg 188 – 191 Ex 12C Pg210-221 Ex 13A – 13E Design and use a tally chart to collect information Pg 198Ex 12G Construct frequency tables with given class intervals for sets of Pg 185-188 Ex 12B – 12D continuous data Construct on paper and using ICT Bar charts and frequency diagrams for discrete and continuous data. 3hrs Review Assess End of First half term Test 1hr CAME Task 13 BORDER AND INSIDE Autumn term: second half Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods … Recognise prime odd even and square numbers Use approximation to check answers Practice mental addition and subtract Ex Practice multiplication tables Date & Hours 29/10/01 5hrs 5 Topic Objectives: pupils will be taught to 2G FOUNDATION Number Add and subtract, multiply and divide integers Pg 11-12, 14, 18-24 Ex 1F-1O Recognise and use factors, multiples, common factors and primes Be able to find the HCF, LCM and prime factors Use square numbers and square roots, cubes and cube roots and index notation for small positive integer powers Review equivalent fractions, improper fraction, and mixed numbers Multiply and divide fractions Pg 47-51 Ex 3E – 3F Pg 47-51 Ex 3E – 3F Pg 51-52 Ex3G CAME Task 21 EXPRESSIONS AND EQUATIONS Construct and solve linear equations expressed with unknown on Algebra either or both side with or without brackets Substitute integers into simple formulae, including solving the equation Order numbers including decimals Discuss and share methods of x & ÷ mental calculations Ex5F 2B INTERMEDIATE Pg 16–17 Ex 1H-1I, Pg 45-49 Ex 3A3B Ex 3G 3J-3L Pg49-54 Ex3C-3E, Pg54-55 Ex3F Pg 89-90, Ex 6B – 6C, Pg 95 Ex 6E Worksheet Pg 92-96 Ex 6B-6D Worksheet Shape & Space 5 Handling Data Transform 2D shapes by rotations, reflection and translation on paper and using ICT Identify all the symmetries of 2D shapes Understand and use language and notation associated with enlargement. Enlarge 2D shape, given a centre of enlargement and a positive whole number scale factor Use ICT to explore enlargement Review co-ordinates and be able to find mid point of line AB given the co-ordinates of A and B Pg 75-86 Ex 5A-5E Starter 1.2 Starter 1.3 Starter 3.1B Pg 34-36 Ex3A-3D Pg 45-51 Ex3G-3H Starter 14.2, 14.5, 14.8 Pg209–214 Ex 13C, 13E,13G-13J Pg201-204 Ex 13A, Pg 208-214 Ex13D-13H Pg 205-208 Ex 13B-13C Pg 208 Ex13 F, Use positive integers into expressions involving small powers Derive simple formulae 5 25 HIGHER Pg 169-171 Ex 10H Pg 233 – 244 Ex 14E-14G Review Ex 14A &14B Worksheet SMP Starter 2.1, 9.5 9.6 Pg 20-22 Ex2A Cabri Review SMP worksheets Worksheet SMP Cabri Pg 168-177 Ex 11A-11E Cabri Pg167-171 Ex 11A Pg26 –28 Ex2A Cabri Worksheet Understanding pie Construct and use pie charts to display and analyses information charts Know and use the language of probability and appreciate that the Worksheet random process is unpredictable Pg 100-105 Ex7A – 7C Design and use two -way tables for discrete data. Know that if the probability of an event is 1 then the probability of it not Pg 105-106 Ex7D occurring Is 1 - p. Pg 107-110 Ex 7E– 7F Find and record all possible exclusive outcomes for single events and two successive events in a systematic way using diagram and tables Cabri Logo Pg 311 Ex18L-18O Pg 173-175 Ex 11A- 11C Pg 177 –180 Ex 11D - 11F Cabri Pg 182-185 Ex 12A-12B Pg 224-226 Ex 13F Pg 191-197 Ex 12D-1E Starter 7.1 Pg 100-101Ex 7A Ex 4A-4B (See Pg 307-309 GCSE Pg 192-183 Ex 12A foundation text) Pg 66 – 73 Ex 4C –4D Pg 102 –105 Ex 7A-7B, 7E Pg 71-73 Ex 4E Pg 106-110 Ex7C-7D 3 hrs 1hr Assess and review End of half term oral Test CAME Task 16 THREE DICE Spring term: first half Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods … Read and write whole numbers in figures and words Recognise multiples and use tests of divisibility Add several small numbers and find their mean Count on / back in steps of 0.41, 0.752… Add / subtract pairs of numbers: such as 7.6 ± 3.8, 760 ± 380 Order decimals in different contexts Date & Hours 7/1/02 3hr 1hr 3hr Topic Objectives: pupils will be taught to Number Know that a recurring decimal can be expressed as a fraction, i.e. 1/3 is Worksheet 0.333333 Add and subtract fractions. Pg 91-98 Came task 29 Algebra Find doubles and halves of decimals Interpret graphs, pie charts and bar charts and discuss hich are most useful for specific types of problems 2G FOUNDATION STRAIGHT LINE GRAPHS Understand and be able to draw the graph of an simple linear Pg 174 - 176 equation Use linear equations to solve simple problems involving direct proportion Pg 214 2B INTERMEDIATE 2R HIGHER Pg 129 Ex 8K Q2 Pg 92 –95 Ex 5I - Ex 5J Pg 97-99 Ex 6E Pg 43- 44 Ex 3F Pg171 –175 Ex 11B-11D Pg 187-193 Ex 12C – 12F Conversion graphs Ex 11F-11G Pg 198 – 206 Ex 12I- 12J(omit (to be done in Summer 2nd half) Q5.) 4hr Shape & Space Be able to construct the mid point and perpendicular bisector of a line segment Be able to bisect and angle Construct the perpendicular from a point to a line and on a line Construct a triangle given three sides also use ICT to explore these constructions (Use ICT for help with this topic) Worksheet Worksheet Worksheet Worksheet Cabri Estimate probabilities from experimental data Understand that if an experiment is repeated there may be different outcomes Understand the number of times an experiment is repeated generally leads to better estimates of probability Conduct a probability experiment SEE CAME TASK) Worksheet Worksheet Worksheet Worksheet Cabri Pg 121-123 Ex 7E-7F Activity Sheet 2 & 3 Cabri Pg 118-121 Ex 7C- 7D 1hr Handling Data 1hr CAME Task 29 HEADS OR TAILS Pg 111-113 Ex 7F Conduct a probability experiment Practical Task (SEE CAME TASK) i.e. Rolling Drawing Pins See SMP B2 pg 95 SEE CAME TASK) 2hrs Assess and review Spring term: second half Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods … Add / subtract pairs of numbers: such as 7.6 ± 3.8, 760 ± 380 Find two decimals with a sum of 1 or 0.1 Order, add and subtract positive and negative numbers Recognise factors, multiples, square numbers and primes Multiply and divide a two-digit number by a one-digit number Find halves of decimals and fractions Date & Hours 18/2/02 4 3 Convert between fractions, decimals, percentages Find equivalent fractions Practice angle facts Topic Objectives: pupils will be taught to 2G FOUNDATION Number Review changing fractions to decimals Calculate fractions of quantities/Multiply or divide a fraction by an integer Change fraction and decimals to percentages Express one number as a percentage of another Use equivalent fractions, decimals and percentages to compare proportions Board work or worksheet Pg 91-93 Ex 6C-6D Review Ex 8K Q2. Pg 89-90 Ex 6A Pg 41-42 Ex 3E Pg 45-51Ex 3G-3H Pg 125-126 Ex 8I Pg 126-129 Ex 8J Pg129-130 Ex 8K Pg 127-129 Ex8J-8K Pg 133 Ex 8N Starters 6..2, 6.3, 8.10(plus work Pg 98-100 Ex 6A Pg 104-105 Ex 6D Starters 3.2, 3.5, Ex 3B-3D Generate and describe integer sequences Generate term of a linear sequence using term to term, or term to position, definitions of the sequence on paper and using ICT Spreadsheet or graphical calculator. Begin to find the nth term Pg 73-5 Ex 5A Pg 84-85 Ex 5F Excel Worksheet Algebra 2B INTERMEDIATE 2R HIGHER above) Pg 147-155 Ex 9A-9D Pg 76-81 Ex 5A-58 Pg81-84Ex 5C – 5D Excel Excel Pg 155-159 Ex 9E-9F P84-86 Ex 5E 4 Shape & Space Use units of measure to estimate calculations and solve problems in every day contexts Know and use measurement for length. Review perimeter of square, rectangle and triangle and area of a square or rectangle Deduce and use formula for the area of a triangle and, parallelogram Starters 9.7,9.10 Review Pg 151 Pg 141-145 Ex 9H-9I Pg 218-220 Ex 14B-14D Pg 152 Ex 9I Pg 214-219 Ex 14A-14C Pg 220-222 Ex 14E Review Starters 15.1A, 15.1B Pg 251 Pg 251-257 Ex 15A-15B Pg 220-225 Ex 14D-14F 1hr 4hr CAME Task 18 Handling Data 2hrs Assess and review 1hr Came Task 28 CORRELATION SCATTERS Construct scatter graphs and discuss the appropriate use of scatter graphs Review other forms of representing data e.g. bar charts, pie charts etc Identify which of the methods of representing data is most useful in the context of a problem. Collect data of suitable topic and produce a report using ICT support. Worksheet Pg 227-231 Ex 13H Pg195-199 Ex 2F-12G Review Pg 182 Ex 12A Pg 185-195 Ex 12B-12D Write questionnaire on ‘Healthy Living’ Review Pg 208-221 Ex 13A –13E Review Pg184-188 Ex 12B Write questionnaire on ’ Healthy Living’ Write questionnaire on ’ Healthy Living’ COMPARING CORRELATION Summer term: first half Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods … Understand and use standard methods of multiplication Discuss the implication of multiplying integers and decimals Methods of checking results considering whether it is in the right order of Understand and use standard methods of division such as 6 x 8 and its relevance to 0.6 x 0.8 etc magnitude Recall facts of decimal, fraction and percentage conversion. Discuss the implication of dividing integers and decimals such Discuss methods of checking results by considering working the problem as 6 x 8 and its relevance to 0.6 x 0.8 etc backwards Dates & Hours Topic 15/4/02 4hrs Number 4hrs Algebra Objectives: pupils will be taught to 2G FOUNDATION 2B INTERMEDIATE Calculate percentages and find the outcome of a given percentage increase or decrease Use of calculator using function keys effectively sand efficiently for sign change, powers, roots and fractions Worksheet on Sale Price and Savings Ex 131-32 Ex 8M Pg 102Ex 6C, Pg106-110 Ex 6E-6F Pg 294-296 Ex 18A -18B, Pg299-300 Ex 18D Review Ex5C- 5D Review Pg 83Ex 5D –5E Pg 174-176 Ex 11D-11E Page 171-173 Ex 11C Starters 11.1,11.5 Review Pg 169 – 174 Ex 11A-11C Pg175-177 Ex11E Starters 12.6B 12.1,12.3, 12.7 Pg 185-195 Ex 12C-G Review finding and describing a sequence Express simple function in symbols, represent mapping expressed algebraically Generate points in all four quadrants and plot graphs functions, Recognise that equations of the form y = mx + c correspond to straight line graphs 2R HIGHER 4hrs Shape & Space Review and use formula for the area of a triangle, parallelogram and extend to a trapezium Calculate area of compound shapes made from rectangles and triangles. Know and use measurement for capacity and mass Deduce how to find the volume of a cube and cuboids. 4hrs Handling Data Calculate using a calculator the range, mode, median and mean Recognise when it is appropriate to use the range, mode, median and the mean Find the modal class for grouped data Calculate a mean given the mean of a smaller group of numbers Construct on paper and using ICT simple line graphs for time series. 3 hrs 1hr Pg 222-223 Ex 14F Pg 142 Ex 9J Pg 227-230 Ex 14H-14I Starters 14.1, 14.3, 14.6, 14.9 Review Pg 220-222 Ex14A-14D Pg 222-225 Ex 14E, 14F Pg 151-15 Ex 9I-9J Pg 232-237 Ex 14K-14L Mode Pg 232 Ex 15A-15B Median Pg 238-240 Ex 15C Mean Pg 241-242 Ex15D Range Pg 242-243 Ex 15E Pg 195 -199Ex 12F Starters 15.1, 15.4, 15.6 Mode Pg 238 Ex 15A-15B Median Pg 243-244 Ex 15C Mean Pg 245-246 Ex15D Range Pg 246-247 Ex 15E Pg 188-191 ex 12C Review Pg 254, Pg 258-259 Ex 15C Pg 264-267 Ex 15D (omit Q2, Q5) starters 16.3, 16.5 Pg 269-281 Ex 16A-16D Assess and review Came Task 30 HOW DO I HANDLE THE DATA? Summer term: second half Oral and mental starter: mental strategies, rapid recall, estimating, visual imagery, problem solving, explaining methods … Consolidate and extend mental methods of calculation, Recall of angle facts for angles in a straight line round working with integers, decimals, fractions and percentages, point, in a triangle and in a quadrilateral square and square roots. Date & Hours Topic 10/6/02 4hrs Number 3hrs 1hr Algebra CAME Task 23 Objectives: pupils will be taught to Use of calculator using function keys effectively sand efficiently for brackets, percentages and memory functions Consolidate understand of the relationship between ratio and proportion Reduce a ratio to it simplest form, including ratio expressed in different units Divide a quantity into two or more parts in a given ratio Use unitary method to solve simple problems involving ratio and direct proportion. Construct linear functions arising from real life problems. Plot their corresponding graphs. Discuss and interpret real life graphs RATES OF CHANGE a Recall known fact including fraction decimals and percentage conversions 2G FOUNDATION 2B INTERMEDIATE 2R HIGHER Starter 3.12 Worksheet Worksheet Worksheet Worksheet Pg 52-59 Ex3I – 3K Pg 177-181 Ex11F Pg177-182 Ex 11F-11G Pg 198-206 Ex12I-12J 4hrs Shape & Space Use bearing to specify direction and location Review formula for finding a volume of a cuboids Calculate volumes and surface areas of cuboids and shapes made from cuboids Know rough imperials and metric conversion in daily use Logo Logo Logo Pg 227-230 Ex 14H-14I Pg 198 –201 Ex 12G-12H Pg264-267 Ex 15E Pg 143 Ex 9K 3hrs Pg 248-251 Ex 15F Handling Data 3 hrs Interpret tables, graphs and diagrams for both discrete and continuous data and draw inferences that relate tot the problem being discussed Pg 243-245 Ex 15F –15G Compare two distributions using the range and one or more of mode median and mean. Statistical Investigation Complete a survey using ICT as appropriate, justify the choice of what is presented orally and on paper, summarising the results of a statistical enquiry. Assess and review If time end of CAME Tasks 14 & 15 CIRCLE RELATIONS and CIRCLE FUNCTIONS year tasks Pg251-252 Ex 15G Starter 13.5 Review any of Ch 13 Statistical Investigation Statistical Investigation