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 pg 95-97 Add, subtract, multiply and divide integers Make approximation and justify estimated answers verbally Recognise and use prime numbers square numbers and Review place value ordering and rounding (including Explain their process of thinking when explaining a problem solved. square roots decimals) Explain their methods of mental arithmetic Ex 1A - 1D Year 8 Framework Ask pupils to copy the Aims for this term into their exercise book Hours Topic Objectives: pupils will be taught to NNS 2G FOUNDATION 2B INTERMEDIATE 2R HIGHER 1 CAME Task 19 ACCURACY AND ERRORS Worksheet 3 Number Ex 8HEx 1H ( not 0.1 etc) Ex 8F, Review reading writing positive integer powers of 10, multiply and divide 39-41 Pg5 Ex 1C, by decimals 0.1, 0.01, 0.01 49—59 Ex 3G Ex 8H, Ex 8G Pg 13 Ex 1G, Use square cube and their roots, use index notation. Ex 5B –5C,* Ex 1D-1F, Ex 8C Ex 3H, materal from 2G Ex 13D* Number operations and the relationships, understand and use the Ex 13D* Ex 3M material from 2G Ex13D* inverse operations including the use of brackets (*as a start for brackets in algebra) Algebra Ex 4B –4F Ex 4B-4C Ex 10A, 6 Ex 4A, Ex 13A, Ex 4A Ex14C – 14D Simplify linear expression by collecting like terms Ex 13G – 13I, Review constructing an equation previously expressed in words 117-118 Ex 13D *worksheet for algebra Ex 4D- 4E Ex10D –10F Solve simple linear equations Ex 5D –5E review 5B-C* Multiply out brackets in algebra (follow on from introduction in number section) Know and use inverse operations to help solve problems, know and use Starter 10.2, 14.1 facts that algebraic operations follow the same laws and order as arithmetic operations (*linked with number operations in pervious topic Shape & Space Ex9A 5 on Number) 17-183 Pg 39-40, Ex2C-2J Worksheet Ex 2J Ex 2H-2I, 2K Ex 2D-2G , Identify alternate and corresponding angles Know and use angles of a triangle add up to 180o and a Ex 9B Ex 9B, quadrilateral adds up to 360o Starter 2.8 Solve problems using side and angle properties of equilateral, isosceles 193 Ex 9E –9G Ex 9E-9H and right angled triangles and special quadrilaterals, explaining 201 Ex7G-7I reasoning Understand if 2D shapes are congruent then their corresponding sides and angles are equal. Handling data 4 Know and use geometric properties of cuboids and shapes made from 249-255 Ex 12A especially Q4 & Q6 cuboids, begin to use plans and elevations. Ex12A-12B Starter 13.1A Decide on a problems that can be addressed by statistical methods and identify related questions to explore, Decide which data to collect and how to collect the data including the sample size Ex 12B – 12D Ex 12C Ex 12G Ex 13A – 13E Design and use a tally chart to collect information Construct frequency tables with given class intervals for sets of continuous data Construct on paper and using ICT Bar charts and frequency diagrams for discrete and continuous data. 1hrs Review Assess Test of mental arithmetic skills and facts taught this term 1hr CAME Task 13 BORDER AND INSIDE best introduced from the board WORK REPEATED NNS page numbers refer to the National Numeracy Scheme Citizenship skills Pupils complete check sheet for this half term Autumn term: second half Year 8 Scheme of Work 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 Practice multiplication tables Ask pupils to copy the Aims for this term into their exercise book Hours 4 4 Topic Objectives: pupils will be taught to NNS 2G FOUNDATION Number 51-55 Ex 1F-1G, 1I –1O Ex 3E – 3F “ “ “ “ “ Ex3G Shape & Space 4 Handling Data Add and subtract, multiply and divide integers 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 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 coordinates of A and B Construct and use pie charts to display and analyses information (1f) Know and use the language of probability and appreciate that the random process is unpredictable 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 occurring Is 1 - p. Find and record all possible exclusive outcomes for single events and two successive events in a systematic way using diagram and tables Order numbers including decimals Discuss and share methods of x & ÷ mental calculations Ex5F 2B INTERMEDIATE 2R HIGHER Ex 1H-1I, Ex 3A-3B Ex 3G 3J-3L Ex3C-3E, Ex 5A-5E Ex3F Ex 6B-6D Worksheet Starter 1.3 Starter 3.1B Ex3A-3D Ex3G-3H Cabri ICT Cross Curriculum Task Ex2A Use of literacy strategy Worksheet SMP Starter 2.1, 9.5 9.6 Pg 20-22 Ex2A Cabri ICT Cross Curriculum Task Review SMP worksheets Worksheet SMP Cabri ICT Cross Curriculum Task Logo Pg 311 Ex18L-18O Ex 11A- 11C Ex 11D - 11F 209-213 Cabri Ex 11A-11B Cabri Ex 11A Cabri Ex 12A-12B 257-269 Worksheet Understanding pie charts Ex 12D-1E Starter 7.1 Pg 100-101Ex 7A Ex 13F Worksheet Ex7A – 7C Ex7D Ex 12A Ex 4A-4B (See Pg 307-309 GCSE foundation text) Ex 7E– 7F Ex7C-7D 51-55 65-69 Ex 6B – 6C, Ex 6E Worksheet Starter 1.2 Ex 7A-7B, 7E Ex 4C –4D Ex 4E Starter 14.2, 14.5, 14.8 4 CAME Task 21 Algebra EXPRESSIONS AND EQUATIONS Construct and solve linear equations expressed with unknown on either or both side with or without brackets Substitute integers into simple formulae, including solving the equation Use positive integers into expressions involving small power Derive simple formulae 1 Assess 1 CAME Task 16 THREE DICE Get pupils to review work for this ½ term and set themselves a target 141-145 Ex 13C, 13E, review13G-13I Ex13 F, Ex 13A, Ex13D(verbally could be used as starter) 13E-13H Ex 13B-13C Ex 10H Ex 14F-14G Ex 14A &14B End of half term oral Test NNS page numbers refer to the National Numeracy Scheme WORK REPEATED Citizenship skills Spring term: first half Year 8 Scheme of Work 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 Ask pupils to copy the Aims for this term into their exercise book Hours 3 Topic Objectives: pupils will be taught to NNS Shape & Space Handling Data 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 221-225 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 Worksheet Worksheet Worksheet Worksheet 2B INTERMEDIATE Worksheet Worksheet Worksheet Worksheet 2R HIGHER Ex 7E-7F Activity Sheet 2 & 3 Ex 7C- 7D Ex 5I - Ex 5J 5 Number 67-71 Know that a recurring decimal can be expressed as a fraction, i.e. 1/3 is 0.333333 Add and subtract fractions. Understand and use the rules of negative numbers 4 Came task 29 Algebra 2 Handling Data CAME Task 29 2 Review of ½ years work 2 Assess and review STRAIGHT LINE GRAPHS Understand and be able to draw the graph of an simple linear equation Use linear equations to solve simple problems involving direct proportion(1i) Worksheet/or from board Ex 6C – 6F Ex 10A – 10 J (be selective) 165-167 Ex 8K Q2 only Ex 6E Ex 10 A – 10 D Review Ex 11C Ex 11D – 11E Pg 214 Ex 13J Ex 12C – 12F Ex 11B-11D Ex 12I- 12J(omit Q5.) (Omit Conversion graphs Ex 11F11G to be done in Summer 2nd half) Conduct a probability experiment SEE CAME TASK) Ex 7F Conduct a probability experiment (SEE CAME TASK) 277-285 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 HEADS OR TAILS Revision Feb end of ½ year Test NNS page numbers refer to the National Numeracy Scheme Get pupils to review work for this ½ term and set themselves a target Ex 3F Ex 8A – 8E WORK REPEATED Practical Task i.e. Rolling Drawing Pins See SMP B2 pg 95 SEE CAME TASK) Spring term: second half Year 8 Scheme of Work 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 Convert between fractions, decimals, percentages Find equivalent fractions Practice angle facts Ask pupils to copy the Aims for this term into their exercise book Hours 6 Topic Objectives: pupils will be taught to NNS 2G FOUNDATION Number 65-67 Board work or worksheet Ex 6C-6D Review Ex 8K Q2. Ex 6A Ex 3E Ex 3G-3H Ex 8I Ex 8J Ex 8K Ex8J - Ex 8K (except Q2) Ex 8N Starters 6..2, 6.3, 8.10(plus work Ex 6A Ex 6D – 6E Starters 3.2, 3.5, Ex 3B-3D 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(1f) Use equivalent fractions, decimals and percentages to compare proportions 2B INTERMEDIATE 2R HIGHER above) 3 Algebra 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 139-141 Ex 5A Ex 5F Excel Worksheet see Ch 17 Ex 5A-58 Ex 5C Excel See Ch 17 Ex 9A-9D Excel Ch 18 Ex 9E-9F 3 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 229-231 237 Starters 9.7,9.10 Pg 151 Review Ex 9H-9I Ex 14B-14D Ex 14E Review Pg 152 Ex 9I Ex 14A-14C Ex 14D-14F Review Starters 15.1A, 15.1B Pg 251 Ex 15A-15B Worksheet/ or from board /or discuss verbally Review Ex 12A Ex 12B-12D Write questionnaire on ‘Healthy Living’ Ex 2F-12G Ex 13H Review Ex 12B Write questionnaire on ’ Healthy Living’ Review Ex 13A –13E 5 CAME Task 18 Handling Data CAME Task 28 267-271 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(1f). Collect data of suitable topic and produce a report using ICT support. Write questionnaire on ’ Healthy Living’ COMPARING CORRELATION 1 WORK REPEATED Assess and review NNS page numbers refer to the National Numeracy Scheme Get pupils to review work for this ½ term and set themselves a target Citizenship skills Summer term: first half Year 8 Scheme of Work 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 Ask pupils to copy the Aims for this term into their exercise book Hours Topic Objectives: pupils will be taught to NNS 2G FOUNDATION 2B INTERMEDIATE 2R HIGHER 3 Algebra 144-157 Review finding and describing a sequence Express simple function in symbols, represent mapping expressed Review Ex5C- 5D Review Pg 83Ex 5D –5E Starters 12.6B 12.1,12.3, 12.7 algebraically Generate points in all four quadrants and plot graphs functions, 165-177 Review Ex 11D-11E Starters 11.1,11.5 Review Ex 12C-G Recognise that equations of the form y = mx + c correspond to Review Ex 11C Review Ex 11A-11C straight line graphs Ex11E 6 Shape & Space Handling data 1 6 3 Came Task 30 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. 240-242 Ex 14F Ex 9J Ex 14H Starters 14.1, 14.3, 14.6, 14.9 Review Ex14A-14D Ex14E, 14F Ex 9I - 9J Ex 14K-14L Review Ex 15C Ex 15E (omit Q2, Q5) HOW DO I HANDLE THE DATA? Number Calculate percentages and find the outcome of a given percentage increase or decrease i.e VAT and Income tax(1c) Use of calculator using function keys effectively sand efficiently for sign change, powers, roots and fractions Review Revision of all topics and facts taught this year in preparation or the and of year test next half term Worksheet or work from the board on Sale Price and Savings Ex 131-32 Ex 8M 68-76 Ex 6C, Review Ex 6E Ex 6F Ex 18A -18B, Ex 18D NNS page numbers refer to the National Numeracy Scheme Get pupils to review work for this ½ term and set themselves a target WORK REPEATED Citizenship skills Summer term: second half Year 8 Scheme of Work 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 working with integers, decimals, fractions and percentages, point, in a triangle and in a quadrilateral square and square roots. Ask pupils to copy the Aims for this term into their exercise book Hours Topic Objectives: pupils will be taught to NNS 2G FOUNDATION 2 Test End of Year Test Recall known fact including fraction decimals and percentage conversions 2B INTERMEDIATE 2R HIGHER 232-233 6 6 Handling Data Number 3 Algebra 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 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. Create a household budget using previously collected data (HCC Yr 8) Logo Logo 234-239 Review Ex 14H- Ex14I Ex 12G-12H 228-233 Ex 9K 78-81 Starter 3.12 3 Shape & Space Work could be based on SMP Booklet Ratio 1 and Work could be based on SMP Booklet Ratio 1 and 2 Ex11F Ex 11F-11G Mode Ex 15A-15B Median Ex 15C Mean Ex15D Range Ex 15E Ex 12F Starters 15.1, 15.4, 15.6 Mode Ex 15A-15B Median Ex 15C Mean Ex15D Range Ex 15E Ex 12C Ex 15F Ex 15G Statistical Investigation Ex3I – 3K Ex12I-12J 174-177 Construct linear functions arising from real life problems. Plot their CAME Task 23 Logo Ex 15E (finding surface area only, using this exercise) corresponding graphs. Discuss and interpret real life graphs(1c) RATES OF CHANGE 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. Interpret tables, graphs and diagrams for both discrete and continuous data and draw inferences that relate tot the problem being discussed(1f) Compare two distributions using the range and one or more of mode median and mean. Discuss Maths in the Media (Citizenship skills 1h) 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. 268-273 Ex 15F –15G Statistical Investigation Starters 16.3, 16.5 Ex 16A-16D Starter 13.5 Review any of Ch 13 Statistical Investigation NNS page numbers refer to the National Numeracy Scheme Get pupils to review work for this ½ term and set themselves a target WORK REPEATED Citizenship skills