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 Stick pupils Aims Sheet into their exercise book Date & Topic Objectives: pupils will be taught to 2G FOUNDATION 2B INTERMEDIATE 2R HIGHER Hours 6/9/02 4 Number Review place value ordering and rounding (including decimals) Pg 6 Ex 1C- 1D, Pg 123 Ex 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 Pg 58 Ex 3H, Use square cube and their roots, use index notation. Pg 51-52 Ex 3G Pg 63-64 Ex 3M Pg5 Ex 1C, Number operations and the relationships, understand and use the inverse Pg 76 –83 Ex 5B –5C,* 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 238-241 Ex14C – 14D Review constructing an equation previously expressed in words Pg 209-214 Ex 13G – 13I, Solve simple linear equations Pg 205-207 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 Ex 5D –5E review 5B-C* facts that algebraic operations follow the same laws and order as Starter 10.2, 14.1 arithmetic operations (*linked with number operations in pervious topic on Shape & Space Number) 4 Pg 132 Ex9A Worksheet Pg29-31Ex 2J Identify alternate and corresponding angles Pg 30, 37-38, Pg 39-40, Ex2C-2J Pg 31-38 Ex 2H-2I, 2K Pg 19-26 Ex 2D-2G , Know and use angles of a triangle add up to 180o and a quadrilateral adds up to 360o Pg 133-134 Ex 9B Pg 139-141 Ex 9B, Starter 2.8 Solve problems using side and angle properties of equilateral, isosceles and right angled triangles and special quadrilaterals, explaining reasoning Pg 137-140 Ex 9E –9G Pg 144-151 Ex 9E-9H Pg 124-129 Ex7G-7I Understand if 2D shapes are congruent then their corresponding sides and angles are equal. Know and use geometric properties of cuboids and shapes made from Handling data cuboids, begin to use plans and elevations. 4 Pg 182-183 Ex 12A especially Q4 Starter 13.1A Decide on a problems that can be addressed by statistical methods and & Q6 identify related questions to explore, Pg 183-188Ex12A-12B Decide which data to collect and how to collect the data including the sample size Design and use a tally chart to collect information Construct frequency tables with given class intervals for sets of Pg 188 – 191 Ex 12C Pg210-221 Ex 13A – 13E continuous data Pg 185-188 Ex 12B – 12D Pg 198Ex 12G 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 Pupils complete check sheet for this half term 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 Stick pupils Aims Sheet into their exercise book Date & Topic Objectives: pupils will be taught to 2G FOUNDATION Hours 28/10/02 Number Add and subtract, multiply and divide integers Pg 11-12, 14, 18-24 Ex 1F-1G, 1I 4hrs –1O Recognise and use factors, multiples, common factors and primes Be able to find the HCF, LCM and prime factors Pg 47-51 Ex 3E – 3F Use square numbers and square roots, cubes and cube roots and “ “ “ “ “ index notation for small positive integer powers Pg 51-52 Ex3G Review equivalent fractions, improper fraction, and mixed numbers Multiply and divide fractions Pg 89-90, Ex 6B – 6C, Pg 95 Ex 6E Worksheet 4 CAME Task 21 EXPRESSIONS AND EQUATIONS Algebra Construct and solve linear equations expressed with unknown on Pg209–214 Ex 13C, 13E, either or both side with or without brackets review13G-13I Substitute integers into simple formulae, including solving the Pg 208 Ex13 F, equation Use positive integers into expressions involving small powers Derive simple formulae 4 Cabri ICT Cross Curriculum Task Shape & Space Transform 2D shapes by rotations, reflection and translation on paper and using ICT Pg26 –28 Ex2A Identify all the symmetries of 2D shapes Use of literacy strategy Understand and use language and notation associated with Worksheet SMP enlargement. Enlarge 2D shape, given a centre of enlargement and a positive Cabri whole number scale factor Pg 168-177 Ex 11A-11B Use ICT to explore enlargement Review co-ordinates and be able to find mid point of line AB given the 4 co-ordinates of A and B Handling Data 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 random process is unpredictable Worksheet Design and use two -way tables for discrete data. Pg 100-105 Ex7A – 7C Know that if the probability of an event is 1 then the probability of it not Pg 105-106 Ex7D occurring Is 1 - p. Find and record all possible exclusive outcomes for single Pg 107-110 Ex 7E– 7F events and two successive events in a systematic way using diagram and tables 3 hrs 1hr Assess and review CAME Task 16 End of half term oral Test THREE DICE Pupils complete check sheet for this half term 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 92-96 Ex 6B-6D Worksheet 2R HIGHER 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 Pg201-204 Ex 13A, Pg 208-214 Ex13D-13H Pg 205-208 Ex 13B-13C Pg 169-171 Ex 10H Pg 233 – 244 Ex 14F-14G Ex 14A &14B Starter 2.1, 9.5 9.6 Pg 20-22 Ex2A Cabri ICT Cross Curriculum Task Review SMP worksheets Worksheet SMP Cabri Pg167-171 Ex 11A Cabri ICT Cross Curriculum Task 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 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 Stick pupils Aims Sheet into their exercise book Date & Topic Objectives: pupils will be taught to 2G Hours 6/1/03 3hr 1hr 3hr Number Find doubles and halves of decimals Interpret graphs, pie charts and bar charts and discuss hich are most useful for specific types of problems FOUNDATION 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 Ex 6C – 6F Understand and use the rules of negative numbers Ex 10A – 10 J (be selective) 2B INTERMEDIATE 2R HIGHER Pg 129 Ex 8K Q2 only Pg 92 –95 Ex 5I - Ex 5J Pg 97-99 Ex 6E Ex 10 A – 10 D Pg 43- 44 Ex 3F Ex 8A – 8E Came task 29 Algebra STRAIGHT LINE GRAPHS Review Ex 11C Understand and be able to draw the graph of an simple linear equation Ex 11D – 11E Use linear equations to solve simple problems involving direct proportion Pg 214 Exc 13J 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 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) Pg 111-113 Ex 7F Practical Task Conduct a probability experiment i.e. Rolling Drawing Pins (SEE CAME TASK) See SMP B2 pg 95 SEE CAME TASK) 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 1hr Handling Data 1hr CAME Task 29 2hrs Assess and review HEADS OR TAILS Pupils complete check sheet for this half term Pg 121-123 Ex 7E-7F Activity Sheet 2 & 3 Cabri Pg 118-121 Ex 7C- 7D 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 Stick pupils Aims Sheet into their exercise book Date & Topic Objectives: pupils will be taught to Hours 3/3/03 4 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 3 4 1hr 4hr Algebra Shape & Space CAME Task 18 Handling Data 2hrs Assess and review 1hr Came Task 28 2G FOUNDATION Convert between fractions, decimals, percentages Find equivalent fractions Practice angle facts 2B INTERMEDIATE 2R HIGHER 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 Ex8J - Ex 8K (except Q2) Pg 133 Ex 8N Starters 6..2, 6.3, 8.10(plus work Pg 98-100 Ex 6A Pg 104-105 Ex 6D – 6E Starters 3.2, 3.5, Ex 3B-3D above) 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 Workshee tSee Ch 17 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 Pg 151 Review Pg 141-145 Ex 9H-9I Pg 218-220 Ex 14B-14D Review Pg 152 Ex 9I Pg 214-219 Ex 14A-14C Review Starters 15.1A, 15.1B Pg 251 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. COMPARING CORRELATION Pupils complete check sheet for this half term Pg 147-155 Ex 9A-9D Pg 76-81 Ex 5A-58 Pg81-84Ex 5C Excel See Ch 17 Pg 220-222 Ex 14E Excel Ch 18 Pg 155-159 Ex 9E-9F Pg 251-257 Ex 15A-15B Pg 220-225 Ex 14D-14F 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’ 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 Stick pupils Aims Sheet into their exercise book Dates & Hours Topic Objectives: pupils will be taught to 2G FOUNDATION 2B INTERMEDIATE 2R HIGHER 28/4/03 3hrs Number Calculate percentages and find the outcome of a given percentage increase or Worksheet on Sale Price Ex 131-32 Ex 8M Pg 102Ex 6C, decrease and Savings Pg106-110 Review Ex 6E Use of calculator using function keys effectively sand efficiently for sign change, Ex 6F powers, roots and fractions Pg 294-296 Ex 18A -18B, Pg299-300 Ex 18D 3hrs Algebra 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 3hrs Assess and review 2hrs 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. 1hr Came Task 30 HOW DO I HANDLE THE DATA? Pupils complete check sheet for this half term Review Ex5C- 5D Review Pg 83Ex 5D –5E Review Pg 174 Ex 11DStarters 11.1,11.5 11E Review Pg 169 – 174 Ex 11AReviewPg 171-173 Ex 11C 11C Pg175-177 Ex11E Pg 222-223 Ex 14F Pg 142 Ex 9J Pg 227-230 Ex 14H Starters 14.1, 14.3, 14.6, 14.9 Review Pg 220-222 Ex14A-14D and Pg 222-225 Ex 14E, 14F Pg 151-15 Ex 9I - 9J Pg 232-237 Ex 14K-14L Starters 12.6B 12.1,12.3, 12.7 Pg 185-195 Ex 12C-G Review Pg 254, Pg 258-259 Ex 15C Pg 264-267 Ex 15E (omit Q2, Q5) 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 a Recall known fact including fraction decimals and percentage conversions working with integers, decimals, fractions and percentages, point, in a triangle and in a quadrilateral square and square roots. Stick pupils Aims Sheet into their exercise book Date & Hours Topic Objectives: pupils will be taught to 2G FOUNDATION 2B INTERMEDIATE 2R HIGHER 2/6/03 5hrs Number Use of calculator using function keys effectively sand efficiently for brackets, percentages and memory functions Consolidate understand of the relationship between ratio and proportion Starter 3.12 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 Worksheet Worksheet Pg 52-59 Ex3I – 3K Use unitary method to solve simple problems involving ratio and direct Worksheet Worksheet proportion. Create a household budget using peviously 3hrs Algebra 1hr CAME Task 23 5hrs Shape & Space 6hrs 1 hrs Handling Data Construct linear functions arising from real life problems. Plot their Pg 177-181 Ex11F corresponding graphs. Discuss and interpret real life graphs RATES OF CHANGE Use bearing to specify direction and location Logo Review formula for finding a volume of a cuboids Calculate volumes and surface areas of cuboids and shapes made from Review Ex 14H- Ex14I cuboids Know rough imperials and metric conversion in daily use Pg 143 Ex 9K Calculate using a calculator the range, mode, median and mean Recognise when it is appropriate to use the range, mode, median and the mean Mode Pg 232 Ex 15A-15B Median Pg 238-240 Ex 15C Find the modal class for grouped data Mean Pg 241-242 Ex15D Calculate a mean given the mean of a smaller group of numbers Range Pg 242-243 Ex 15E Construct on paper and using ICT simple line graphs for time series. Pg 195 -199Ex 12F 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 Discuss Maths in the Media (Citizenship skills) 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 Pupils complete check sheet for this half term Review Ex 11F-11G Pg 198-206 Ex12I-12J Logo Logo Pg 198 –201 Ex 12G-12H Pg264-267 Ex 15E (finding surface area only, using this exercise) 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 Pg 248-251 Ex 15F starters 16.3, 16.5 Pg 269-281 Ex 16A-16D Starter 13.5 Review any of Ch 13 Pg251-252 Ex 15G Statistical Investigation Statistical Investigation