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The Broxbourne School Year 8 Lower sets Scheme of Work 2001-2002 W EE K 1. 2 & 3. TOPIC NUMBER ~ Mental work Ma2~3a,3b,3g,3i NUMBER Ma2~1a,1b,1c,2a,3a,3 g,3h,3I,3j,3k,4c, 4d OBJ ECT IVE 9 1A 10 11 12 14 15 DETAILS RESOURCES Recap laws of arithmetic Times tables Place value ~ whole & decimal numbers Commutative, distributive, associative, doubling, halving Key questions In pairs: think about and be ready to explain how you might: add 19… subtract 19… multiply a number by 19… divide a number by RELATED RESOURCES NNS REF LEV EL VOC AB O/M: Guess the times table O/M: Box 5 85 4/5 N1 87,89 5 82,84, 88, 90,92, 94, 96 86 36 42 44,45 102,1 03, 110 4/5 19… Pen and paper methods for whole number addition, subtraction, multiplication and division BODMAS Multiplying and dividing by powers of ten Rounding to nearest 10,100,1000 Rounding to 1 d.p Using rounding to estimate answers Ex2.9 Ex2.10 D1,D 21 4/5 4 4 4/5 Key questions What is a sensible rounding to use, when measuring our heights? (if we round to the nearest metre, we are all the same height!…) 4. DATA HANDLING Ma4~ 4a, 5b, 3a,3b,3c 45 48 49 Collecting data and grouping discrete data Drawing Bar charts and Pictograms Bar Line graphs Interpreting Bar charts, Pictograms Questionnaires Types of questions open/closed, biased Ex13.4,13.5 Ex3.2,3.3,3.4 Ex3.1 Ex3.7,3.8,3.9 O/M: Travel graphs O/M: 4 coloured OHTs – discussion/interpretation ICT: Excel – Activity 5 ICT: mini investigation Excel – Activity 6 252 262 264 268,2 70 4 3,4 D3 D1 5 L 1 The Broxbourne School Year 8 Lower sets Scheme of Work 2001-2002 W EE K TOPIC OBJ ECT IVE DETAILS RESOURCES RELATED RESOURCES NNS REF LEV EL VOC AB Key questions 5. INVESTIGATION L CONSECUTIVE SUMS I2 Key questions 6 & 7. 8 NUMBER~ FRACTIONS Ma2~ 2c, 2d, 3c 5,6 Recap fractions Definition Simplifying Equivalent fractions Express a smaller number as a fraction of a larger number Calculating fractional amounts & strategies Multiply a fraction by an integer Addition & Subtraction of simple fractions Converting fractions to decimals and vice versa Ordering fractions Key questions ‘Alison’s lesson’ C/W W/S needed W/S needed Pg 196 Ex 9.8,9.9,9.10 W/S needed F1 60,61 61,62 60 66,98 68 66 64,65 65 4 5 3-5 5 5 5 6 6 RECAP & ASSESSMENT 2 The Broxbourne School Year 8 Lower sets Scheme of Work 2001-2002 W EE K 9. TOPIC NUMBER ~ DIRECTED NUMBERS Ma2~ 2a OBJ ECT IVE 2 9 DETAILS RESOURCES Ordering ~ number-lines Addition & subtraction Use negative numbers in context Strategies for adding and subtracting negative numbers Pg118 Ex6.1 Ex 6.2 W8 RELATED RESOURCES NNS REF 48 50 93 LEV EL VOC AB 3-5 5 NEG 1 5 A1 Key questions 1 0 & 1 1. ALGEBRA ~ Simplifying & solving Ch4 Ma2~ 1g, 4c,5a,5b,5c 5d, 5e,5f, 6a 18 19 20 21 22 Distinguish between the different roles for letter symbol conventions Know that algebraic operations follow the same conventions and order as arithmetic operations Use inverses Simplify and transform linear expressions Forming and solving linear equations Substitution with positive & negative numbers Ex15.3,15.4,15.5, 15.6,15.7 W2,W3 O/M: Follow me cards – Alg 1 (group activity) O/M or main: Equivalent expressions O/M: d is for dice score Function machine cards Race Game: QCA Pyramids – see lesson plan 112 114 114 116 112, 114 138,1 40 6 6 6 5 ICT: Excel – Activity 1 Key questions Demonstrate that 2(a + b) and 2a + 2b are equivalent in as many different ways as you can. EXT: What is the same and what is different about : 40 – (a + b) and 40 – a – b 3 The Broxbourne School Year 8 Lower sets Scheme of Work 2001-2002 W EE K 1 2 & 1 3. TOPIC SHAPE & SPACE ~Area & Perimeter Ch12 Ma2~ 5f Ma3~ 2e, 4f OBJ ECT IVE 42 33 DETAILS RESOURCES RELATED RESOURCES Perimeter Pg 256 Ex 12.1,12.2,12.3 O/M: Group Problem solving 1 and 2 Formulae for area of: Rectangles Triangles Parallelograms Trapezium Composite shapes Surface area of cuboids Ex 12.2 Ex 12.6,12.7 Ex 12.4,12.5 NNS REF 234,2 35 235 236 235 237 238,2 40 LEV EL VOC AB 4 S5 5 5 6 6 6 Key questions 1 4 1 5 NUMBER ~ long division and multiplication Ma2~3k 12 15 Long multiplication C/W Long division Key questions Why do 16 0.5 and 160 5 give the same answer? … now consider 1600 50… 104 N15 106 RECAP & ASSESSMENT 4 The Broxbourne School Year 8 Lower sets Scheme of Work 2001-2002 TERM 2 1. DATA HANDLING ~ Probability Ch8 Ma4~ 4c, 4d, 4e, 5h,5I,5j 51 52 53 54 Vocabulary Scale Calculating equally likely events Probability of an event not happening Sample space Lists and tables Compare theoretical and experimental probabilities Pg 164 Ex8.1 Ex 8.2; 8.3; 8.5 Ex 8.4 Ex 8.6,8.7 W6 276,277 278 278 279 280,281 D4 5 5 6 6 282, 284 5 L Key questions How do you know you have got them all? (possible outcomes) Is there a different way in which you could have listed the possible outcomes? Which way is the most efficient? 2. NUMBER ~ Percentages Ch9 Ma2~ 2e, 2g,3e, 3m 7 Recap identifying percentages Pg184 Ex9.1,9.2 ‘Emma’s lesson’ Calculating percentages Ex9.3; 9.4; 9.5,9.6 Strategies for calculating percentages Equivalent fractions, decimals and percentages and strategies for converting Key questions What will happen if you reduce the price of a jacket by 10% in a sale… and then 2 weeks later price of the jacket by 10%? Using approximations, write 5 statements about the diagram, involving the words: decimal… fraction… percentage… ratio… proportion… 70 72,73 98 70, 74 98 4 5 F1 6 you increase the 5 The Broxbourne School Year 8 Lower sets Scheme of Work 2001-2002 3. SHAPE & SPACE~ Transformations Ch5 Ma3~ 3a, 3b, 3c,3d 35 32 Recap co-ordinates in 4 quadrants Reflections Translations Rotation C/W Pg94 Ex 5.1 Ex 5.5; 5.6,5.7 O/M: Group problem solving Activities 3 and 4 202-6 212 208,209 ,210 191 213,215 5 5 5 5 5 S1 Congruence Enlargement Whole scale factor Ex 5.8 6 Key questions What is the same and what is different about an object and its image, under an enlargement with SF 2, if the centre of enlargement is : * at a corner of the object? * on an edge of the object? * inside the object? * outside, to the left of the object? * outside and below the object? 4. 5 NUMBER Ma2~2a,2b INVESTIGATION 3 4 Recap Factors, multiples, primes, HCF, LCM Divisibility tests Squares and roots Investigate problems using above Key questions CUTTING CORNERS I1 Ex2.1,2.2,2.3,2.4 52 54 53 56 58 4/5 N3 L Key questions 6 RECAP & ASSESSMENT 6 The Broxbourne School Year 8 Lower sets Scheme of Work 2001-2002 7. ALGEBRA ~ Sequences Ch4 Ma2~ 6a, 6b,6c 23 24 25 Term to term rules~ counting in steps Describe simple integer sequences Nth term rules (position to term) Using nth term for practical contexts Using formulae given in words and symbols Using inverses of formulae Pg72 Ex 4.1 144,148 146 149 154,155 Ex 4.2 Ex4.3,4.4 Ex4.5,4.6 L4 4 6 6 4/5 S1 Key questions 8 ALGEBRA ~ Sequences ICT 23 24 Using a spreadsheet to generate sequences Key questions 9 & 1 0. SHAPE & SPACE ~ Angles & shapes Ch7 Ma3~ 2a, 2b, 2d, 2f, 4b,4d,4e 29 30 31 34 35 Definitions Drawing & measuring Estimating the size of angles Calculating angles Straight lines (complementary/supplementary) Point Triangle and proof Parallel and perpendicular lines Properties of triangles & quadrilaterals 150 Pg139 Ex 7.1 Ex 7.2 Back to Back Ex 7.3 Ex 7.3 Ex 7.4 W7 Construct triangles and nets Use logo to generate shapes Ex 7.11; 7.12 Key questions How many pairs of corresponding angles can you find? 220 232 182 179 183 180 186,187 ,188 222,223 227 S1 L5 L5 S2 L5 L5 L5 5 6 6 Can a triangle have more than one obtuse angle? Why? Can any set of 3 measurements make a triangle? eg 6, 6, 6 … 6, 4, 5 … 6, 2, 3 7 The Broxbourne School Year 8 Lower sets Scheme of Work 2001-2002 TERM 3 1 DATA HANDLING ~ & Averages 2. Ch13 Ma4~ 4b, 5d 47 48 50 Listed data: Mean Mode Median Range Comparing averages Frequency tables discrete data: Mean, mode, median, range Stem and leaf diagrams D2 Pg268 Ex 13.1 Ex 13.1 Ex 13.1 Ex 13.2 256 258 260 272,273 L5 L4 L5 L4 L5 Ex 13.3 more questions needed 257 259 L5 L6 Key questions 3 4 & 5. INVESTIGATION NUMBER ~ Ratio Ch11 Ma3~4a,4i Ma2~ 2f, 3f, 3n, 4a,5g ARGON FACTOR I3,I4 Discuss the need to use statistics How to sample/find data Write a short statistical report Key questions 8 36 Length Metric system & conversions Imperial to metric Mass Imperial to metric Capacity Imperial to metric Simple proportion Simplifying ratios Understand the link between ratio and proportion Sharing in a given ratio Using maps & scales 249 251 272 Pg228Ex 11.1 Ex 11.2 Ex 11.3 Ex 11.4 Ex 11.5,11.6 Ex 11.8 Just compare Ratio worksheet (1) Cards Boxes (1) Best Buys O/M: Fractions times tables L R1 230,231 228,229 L5 L5 228,229 L5 228,229 L5 L5 78 80 80 217 5/6 8 The Broxbourne School Year 8 Lower sets Scheme of Work 2001-2002 Key questions What is the same and what is different about sharing: A £60 in the ratio 4 : 6 … and £60 in the ratio 8 : 12 B 80 cm in the ratio 3 : 5 … and 160 cm in the ratio 12 : 20 6 SHAPE AND SPACE ~ Co-ordinates Ma2~6e Ma3~3e 37 Co-ordinates in 4 quadrants – plotting and reading Finding the mid-point of a line 218 5 S4 6 S5 219 Key questions 7 SHAPE & SPACE ~ Volume CH14 Ma3~ 2j, 4g 42 Volume of composite cuboids by counting cubes Formulae for volume of cuboids and surface area Pg 295 Ex 14.3; 14.4,14.6,14.7 Ex14.8 239, 241 Key questions How do you know that there is only one possible position for the line y = 2x + 3 8 & 9 NUMBER ~ Decimals 1 14 15 Place value ~ recap In context Addition & subtraction Simple multiplication and division Ex 6.3,6.4 Ex 6.6,6.7 Ex 6.5 104,105 104,105 ,106,10 7 Key questions 1 0 SPARE (Use to revise number skills) 9 The Broxbourne School Year 8 Lower sets Scheme of Work 2001-2002 1 1 EXAMS 1 2 & 1 3 ALGEBRA ~ Straight lines Ch10 Ma2~ 6e, 6f,6h 26 27 28 Key questions Using function machines and mapping diagrams Horizontal and vertical lines Plotting equations in the form Y=mx+c Identifying key features of above Number machines – see pack O/M or plenary: NNS Number machines Conversion graphs Using formulae to draw graphs Compound measures ~ travel graphs Plotting graphs to represent real life functions Key questions 1 4 & 1 5 DATA HANDLING Ma4~ 4a, 5b, 3a, 3b, 3c,5g 48 49 Scattergraphs ~ Drawing Drawing pie charts 161,163 L6 L6 S4 165,167 173 5/6 175,177 Practical work 267 263 6 6 D1 Key questions 10