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Probability Worksheet with Answers document sample
LLANTWIT MAJOR SCHOOL YEAR 8 SET 1 SCHEME OF WORK KEY STAGE 3 Students will OBJECTIVE Additional Resources CHAPTER AIMS & C1 Book TOPIC learn… page: S 1 CO-ORDINATES AND GRAPHS 1. Using all 4 (a) plot co-ordinates in all four quadrants 2,3 Co ordinates Interactive quadrants (b) learn to find the midpoint Co ordinates in four quadrants presentation Co ordinates in four quadrants worksheet 2. Equation of a (a) how to find equations of lines in the form 4,5 10 ticks level 4 pack 7, p19-28 line x+y=c, y=x+c, y=x, y=-x, x=a, y=c, y=-x 10 ticks level 5 pack 4, p23-30 Equation Of A Straight Line Presentation 3. Drawing (a) learn to draw a graph from its equation 6,7 Equation Of A Straight Line Worksheet straight line (b) the definition of the term y-intercept Equation Of A Straight Line Worksheet Answers graphs Chapter Review Worksheet Chapter Review Worksheet 2 4.More straight (a) how to find the gradient 8,9 10 ticks level 6 pack 1 p27 onwards line graphs (b) realise that y=2x-1 and y=2x+1 have the same gradient 10 ticks level 7-8 pack 1 p21-30 10 ticks level 7-8 pack 3 p29 5. Review 10,11 TEST 1, Mental Test TIME SCALE: 6 lessons 2 NUMBERS 1. Decimals (a) learn to multiply by 0.1, 0.01, 0.001 12,13 Reading Scales Presentation Revisited (b) that multiplying by 0.1 and dividing by 10 are equivalent Reading Scales Worksheet (c) to convert units of time given as decimals 10 ticks level 5 pack 1 upto p22 14,15 Teacher File C2 Chapter 22 2. Using scales (a) to interpret decimal scales 10 Ticks Level 6 Pack 6 p7,8 3. Ordering (a) to determine the relative size of very large and very small numbers (b) to order decimals (c) to order numbers expressed as powers of 10 16,17 4. Range of (a) to write a range of values as an inequality 18,19 values (b) to represent a range of values on a number line 5. Review 20,21 TIME SCALE: 5 lessons Page 1 9d5336a0-d312-4781-8fdf-5cb031744b1f.xls LLANTWIT MAJOR SCHOOL YEAR 8 SET 1 SCHEME OF WORK KEY STAGE 3 3 ANGLES o 1. Types of (a) that angles at a point add up to 360 22,23 What's my angle - game Angles (b) that angles on a straight line add up to 180º Calculating angles at a point worksheet Target board 360 starter 2. Angles at (a) vertically opposite angles are equal Target board 180 starter intersecing lines (b) corresponding angles are equal 10 ticks level 5 pack 3, p1-6 and 17-28 (c) alternate angles are equal 24,25 Angle calculations worksheet (hard) 10 ticks level 6 pack 2 p23-36 3. Angles in a (a) proof that angles in a triangle add up to 180º 10 ticks level 6 pack 5 p27-30,39 onwards triangle (b) proof that angles in a quadrilateral add up to 360º Bearings Presentation (c) that a proof is a result which applies for all cases 26,27 Bearings Interactive Bearings Worksheet 4. Bearings (a) solving problems involving bearings (b) how to calculate a back bearing 28,29 5. Review 30,31 TEST 2,3 TIME SCALE: 6 lessons 4 DISPLAYING DATA 1. Displaying data (a) review tally charts, pictograms, bar charts, pie charts 32,33 Calculating the Mean Worksheet and grouped data (b) how to group data averages and range interactive (c) how to display data using a stem and leaf diagram averages and range worksheet averages and range worksheet 2. Averages (a) how to find mean median, mode 34,35 Averages worksheet (b) the difference between the averages and when it is best to use Which average? Worksheet each one Finding the range worksheet Finding the range worksheet 3. Range (a) What is meant by the range and how to calculate it 36,37 10 Ticks Level 5 pack 6 upto p6 (b) What is meant by an outlier and what to do with one Scatter Graphs Interactive Using Excel To Draw Scatter Graphs Worksheet 4. Discrete and (a) the difference between discrete and continuous data. 38,39 Using Excel To Draw Scatter Graphs Worksheet 2 Continuous data (b) to group continuous data Drawing Scatter Graphs Worksheet Correlation Presentation 5. Scatter (a) to plot and interpret a scatter diagram 40,41 Questionaires Presentation Diagrams (b) the meaning of correlation 10 ticks level 4 pack 6, p1-16 (c) the different types of correlation 10 ticks level 6 pack 6, p11-14 6. Review 42,43 TIME SCALE:Middle of October 6 lessons End of Half Term Page 2 9d5336a0-d312-4781-8fdf-5cb031744b1f.xls LLANTWIT MAJOR SCHOOL YEAR 8 SET 1 SCHEME OF WORK KEY STAGE 3 5 DECIMALS 1. Decimal places (a) to round to 1 or 2 decimal places 44,45 10 ticks level 4 pack 3, p7-8,15-20 10 ticks level 4 pack 4, p29-40 2. Rounding (a) that errors can occur if a rounded answer is used in a calculation 10 ticks level 5 pack 2, p19-32 errors (b) to avoid rounding errors Equivalence Worksheet 46,47 10 Ticks level 4 pack 5 p5,6 3. Interpreting (a) to express decimal answers appropriately 10 Ticks level 5 pack 2 p36-38 decimal answers (b) to change mixed units to decimals 48,49 10 Ticks level 6 pack 3 p13-18 Rounding to decimal places Interactive 4. Rough (a) how to do rough calculations and make rough checks Estimation Presentation calculations 50,51 Rounding to decimal places Presentation Using Rounding in Calculations Worksheet 5. Review 52,53 10 Ticks Level 6 pack 4 p21-25 Test 4,5 TIME SCALE: End of half term. 6 lessons 6 USING VARIABLES 1. Simplifying (a) to simplify expressions involving one or more variables 54,55 Substitution Exam Questions Worksheet Expressions (b) the meaning of expression, simplify, like terms Substitution Worksheet Simplifying Expressions Worksheet 2. More (a) to simplify expressions involving non linear terms 56,57 Collecting Like Terms Worksheet Expressions (b) learn to use correct algebraic notation Forming Expressions Worksheet Substitution Exam Questions Worksheet 3. Using (a) to expand a bracket and know the meaning of the word expand 58,59 10 ticks level 4 pack 5 p42 onwards Brackets (b) to factorise an expression and know the meaning of 10 ticks level 5 pack 5 p8-21 factorise and factorise fully 10 ticks level 6 pack 1 60,61 4. Review TIME SCALE: End of November 5 lessons Page 3 9d5336a0-d312-4781-8fdf-5cb031744b1f.xls LLANTWIT MAJOR SCHOOL YEAR 8 SET 1 SCHEME OF WORK KEY STAGE 3 7 CONSTRUCTION 1. Scale (a) to make accurate constructions of triangles with a ruler and 62,63 10 Ticks level 4 pack 8, p1-31 Drawings protractor and compasses Perpendicular To A Line Presentation (b) to use scale drawings to find unknown sides and angles Perpendicular From A Line Presentation Making Scale Drawings Presentation 2. More Scale (a) the meanings of elevation and depression 64,65 10 ticks level 5 pack 3 p7-11 Drawings (b) to construct scale drawings using elevation, depression and 10 ticks level 6 pack 4 p31-32 bearings 10 ticks level 6 pack 2 p27-36 10 ticks level 7-8 pack 5 p7-10 3. Perpendiculars (a) learn how to construct a perpendicular at a point on a line 66,67 (b) the meaning of locus and equidistant 4. More (a) learn how to construct a perpendicular from a point to a line 68,69 Perpendiculars (b) learn to construct a perpendicular bisector (c) the rule for the locus produced by these constructions 5. Bisecting an (a) learn to bisect an angle 70,71 angle (b) the rule for the locus produced by this construction 6. Review 72,73 test 6,7 TIME SCALE: End of November 7 lessons 8 USING GRAPHS 1. Using Graphs (a) to obtain information from real life graphs 74,75 10 Ticks Level 5 Pack 6 p19-29 (b) to interpret the gradient of the graph 10 Ticks Level 6 Pack 5 p3-4, 15-20 2. Travel graphs (a) to draw and interpret a travel (distance - time) graph. 76,77 3. Review 78,79 TIME SCALE: End of November 3 lessons End of Term Page 4 9d5336a0-d312-4781-8fdf-5cb031744b1f.xls LLANTWIT MAJOR SCHOOL YEAR 8 SET 1 SCHEME OF WORK KEY STAGE 3 9 WORKING WITH DIRECTED 1. Addition and (a) to place negative and positive numbers in order 80,81 Negative numbers ice skating worksheet NUMBERS Subtraction (b) to add and subtract negative and positive numbers Addition and subtraction of decimals w/s Addition and subtraction of whole numbers w/s 2. Multiplication (a) to multiply and divide negative and positive numbers 82,83 Addition and subtraction (whole and decimal) w/s and division (b) extend simple straight line graphs to include negative numbers. Division of whole numbers worksheet Multiplication and division of whole numbers w/s 3. Review 84,85 Multiplication of whole numbers worksheet Multiplication of whole numbers worksheet Missing numbers puzzle worksheet Negative number grids worksheet Negative number puzzles worksheet generator Mixed +, -, x, ÷ worksheet Mixed +, -, x, ÷ worksheet Negative Number puzzles Interactive Negative Numbers Multiplication square w/s Negative numbers test w/s 10 Ticks Level 4 pack 3 upto p9-13 10 Ticks Level 5 pack 4 upto p21 test 8,9 TIME SCALE:Middle of December 4 lessons 10 FRACTIONS 1. Equivalent (a) to find equivalent fractions 86,87 Adding Fractions Interactive fractions (b) to write fractions as percentages Adding Fractions Worksheet (c) to use equivalent fractions to compare the size of fractions Adding / Subtracting Fractions Interactive (Hard) Adding / Subtracting Fractions Worksheet 2. Adding and (a) to add and subtract fractions 88,89 Fractions Interactive (+,-,*,/) subtracting Equivalent Fractions Worksheet fractions Multiplying Fractions Interactive Dividing Fractions Interactive 3. Mixed (a) to add fractions when the total is more than 1 90,91 10 ticks level 4 pack 4, upto p28 Numbers (b) to convert between top heavy fractions and mixed numbers 10 ticks level 5 pack 2, p28 onward Teacher File C2 Chapter 12 4. Review 92,93 Fractions / Ratio Worksheet Mixed Numbers Interactive 10 ticks level 6 pack 3 TIME SCALE: End of term. 3 lessons Page 5 9d5336a0-d312-4781-8fdf-5cb031744b1f.xls LLANTWIT MAJOR SCHOOL YEAR 8 SET 1 SCHEME OF WORK KEY STAGE 3 11 CONVERTING UNITS 1. Imperial units (a) to understand imperial units of length 94,95 Metric / Imperial Page 29 onwards The Metric System Page 27 onwards 2. Conversions (a) to convert between metric and imperial units. 96,97 10 ticks level 5 pack 3 p29 onwards (b) to use a conversion graph 10 Ticks Level 5 Pack 6 p19-29 10 Ticks Level 6 Pack 5 p3-4, 15-20 3. Drawing a (a) how to draw a conversion graph 98,99 conversion (b) to use conversion graphs in a wide variety of contexts graph 4. Review 100- 101 test 10,11 TIME SCALE: End of term. 5 lessons 12 SHAPE 1. Classifying (a) to classify shapes, including triangles and quadrilaterals 102- Polygon Sorter Worksheet 103 Classification Of Triangles & Quads w/s 2. Classifying (a) to classify shapes by their symmetry 104- 10 Ticks level 4 pack 8, p1-31 Shapes by (b) symmetrical properties of triangles and quadrilaterals 105 Teacher File C1 Chapter 3 Symmetry Plans and Elevations Presentation 3. Tessellations (a) about different types of tessellation 106- Isometric Drawing Worksheet (b) the meaning of the term tessellation 107 Isometric Drawing Rotation Worksheet (c) the conditions necessary for a shape to tessellate Isometric Drawing Rotation Worksheet Answers Isometric Drawing Interactive 4. Solid Shapes (a) to make 2D drawings of 3D shapes using isometric paper 108- 10 ticks level 6 pack 2 p37 onwards (b) to interpret 3D repesentations on isometric paper 109 10 ticks level 6 pack 5 p23-26 (c) to draw and use plans and elevations of solid shapes 10 ticks level 5 pack 4 p41 onwards 5. Review 110- 10 ticks level 5 pack 6 p35 onwards 111 TIME SCALE: End of term. 5 lessons End of Half Term Page 6 9d5336a0-d312-4781-8fdf-5cb031744b1f.xls LLANTWIT MAJOR SCHOOL YEAR 8 SET 1 SCHEME OF WORK KEY STAGE 3 13 PRIME FACTORS HCFs & LCMs 1. Factors and (a) to write any number as a product of its prime factors 112- Square and cube starters primes (b) to evaluate a number that is given as a product of primes 113 Factors worksheet Factors and multiples worksheet 2. LCMs (a) to find the LCM of two numbers 114- Factors, multiples, prime factors w/s (b) to use the LCM of two numbers to solve problems 115 Binary numbers worksheet Prime Number Detector Interactive 3. HCFs (a) to find the HCF of two numbers 116- Prime Factors Worksheet (b) to use the HCF of two numbers to solve problems 117 Prime Numbers Target Board Starter 10 Ticks level 5 pack 1, p23-32 4. Review 118- 119 test 12,13 TIME SCALE: End of term. 6 lessons 14 DOING A SURVEY 1. Doing a survey (a) how to design useful questions for a survey or questionnaire 120- Questionaires Presentation 121 10 ticks level 4 pack 6, p1-16 2. Biased and (a) biased and misleading questions 122- misleading (b) unsatisfactory sampling procedures 123 questions 3. Review 124- 125 TIME SCALE: End of term. 3 lessons 15 RATIO AND PROPORTION 1. Ratios (a) to use the unitary method for proportion 126- Ratio Review Worksheet and proportion 127 Ratio & Proportion Worksheet Ratio & Proportion Worksheet Answers 2. Ratios (a) learn to simplify ratios 128- 10 Ticks level 5 pack 3 p9-11 (b) to find missing quantities in a known ratio 129 10 ticks level 5 pack 2 p39 onwards 10 ticks level 6 pack 4 p3-16 3. Sharing in a (a) to divide a quantity in a given ratio 130- given ratio 131 4. Review 132- 133 test 14,15 TIME SCALE: End of term. 5 lessons Page 7 9d5336a0-d312-4781-8fdf-5cb031744b1f.xls LLANTWIT MAJOR SCHOOL YEAR 8 SET 1 SCHEME OF WORK KEY STAGE 3 16 FORMULAE 1. Using (a) the meaning of the words formula and substitution 134- Teacher File C2 Chapter 17 Formulae (b) how to simplify linear expressions involving one or more variables 135 Substitution Exam Questions Worksheet (c) substituting values into a formula Substitution Worksheet 10 Ticks level 4 pack 5 p42 onwards 2. Using formulae (a) how to derive a formula 136- 10 Ticks level 5 pack 5 p33-34 to solve problems (b) methods of solving linear equations 137 10 Ticks Level 7-8 pack 3 p21-26 (c) how to use a formula to solve problems 3. Review 138- 139 TIME SCALE: End of term. 4 lessons 17 MEASURING 1. Perimeter, area (a) units of length area and volume 140- Area of composite shapes worksheet and volume (b) how to calcluate the perimeter of shapes made of rectangles 141 Area of Triangles worksheet (c) how to calculate the volume of a cuboid and the area of Composite volumes worksheet a rectangle and a triangle Volume of a cuboid starter presentation 10 ticks level 6 pack 2 p37 onwards 2. More Areas (a) how to calculate the area of a parallelogram and a trapezium 142- 10 ticks level 6 pack 5 p23-26 (b) how to split a polygon into rectangles triangles and trapezia 143 10 ticks level 5 pack 4 p36 onwards to find its total area 10 ticks level 5 pack 6 p35 onwards 3. Volume and (a) how to calculate the surface area and volume of a cuboid 144- Surface area (b) how to calculate the outside surface area of an open box 145 4. Review 146- 147 test 16,17 TIME SCALE: End of term. 5 lessons End of Term Page 8 9d5336a0-d312-4781-8fdf-5cb031744b1f.xls LLANTWIT MAJOR SCHOOL YEAR 8 SET 1 SCHEME OF WORK KEY STAGE 3 18 PERCENTAGES 1. Percentages (a) to understand equivalence of fractions decimals and percentages 148- Non Calculator Percentage Worksheet (b) to convert between fractions decimals and percentages 149 Non Calculator Percentage Worksheet Answers Percentage Cards Worksheet 2. More (a) to work out a percentage of a quantity. 150- Percentages Revision Worksheet percentages (b) to express one number as a percentage of another 151 10 Ticks Level 4 Pack 4 p19-28 10 Ticks Level 4 Pack 5 p5-6 3. Everyday (a) to understand percentage increase and decrease 152- 10 Ticks Level 5 Pack 2 p28-32 percentages (b) to use percentages to solve problems 153 10 Ticks Level 6 Pack 3 upto p18 4. Review 154- 155 mental test TIME SCALE: End of term. 4 lessons 19 SYMMETRY 1. Reflection (a) to recognise reflection and rotation symmetry 156- Teacher File A2 Chapter 6 (b) to identify reflection symmetry and rotation symmetry in 157 Lines of Symmetry worksheet the same diagram Lines of Symmetry in polygons w/s Lines of Symmetry in quadrilaterals w/s 2. Making (a) to investigate relationships between 2 types of symmetry 158- Completing symmetrical shapes w/s Symmetrical (b) create symmetrical shapes by rotating polygons 159 Symmetry revision worksheet shapes Rotational Symmetry Worksheet 10 ticks level 4 pack 7, p29 onwards 3. Using reflection (a) to rotate shapes about any point 160- and rotation symmetry 161 4. Review 162- 163 test 18,19 TIME SCALE: End of term. 4 lessons Page 9 9d5336a0-d312-4781-8fdf-5cb031744b1f.xls LLANTWIT MAJOR SCHOOL YEAR 8 SET 1 SCHEME OF WORK KEY STAGE 3 20 EQUATIONS 1. Solving (a) to solve an equation with the unknown on one side 164- Teacher File C2 Chapter 6 Equations (b) to check the solution by substitution 165 Solving equations revision worksheet (c) to form equations from given information Forming equations using angle facts / perimeter Forming equations using angle facts / perimeter 2. Solving (a) to solve an equation with the unknown on both sides 166- Forming equations: Think of a Number w/s Equations 167 Linear Equations Interactive Solving linear equations worksheet (hard) 3. Equations with (a) to solve an equation with brackets 168- 10 Ticks Level 6 pack 1 p6-10, 15, 16-18, 20 brackets 169 10 ticks level 6 pack 4 p26-30 10 ticks level 6 pack 1 p37-38 4. Using (a) to use equations to solve problems 170- Equations to 171 solve problems 5. Review 172- 173 TIME SCALE: End of term. 5 lessons 21 PROBABILITY 1. Using equally (a) calculating probabilities 174- Teacher File C2 Chapter 21 likely outcomes (b) using the fact that probabilities add up to 1 175 Probability Interactive Probability Scales Worksheet 2. Estimating (a) to use relative frequency to estimate probabilities 176- Probability Spinners Worksheet Probability (b) to make subjective estimates of probability 177 Relative Frequency Interactive One Dice experiment interactive 3. Combined (a) to find all the possible outcomes of two events 178- 10 Ticks Level 4 pack 6 p27-39 events 179 10 Ticks Level 5 pack 1 p39-43 10 Ticks Level 6 pack 6 p22-42 4. Review 180- 181 TEST 20,21 TIME SCALE: End of term. 5 lessons End of Half Term Page 10 9d5336a0-d312-4781-8fdf-5cb031744b1f.xls LLANTWIT MAJOR SCHOOL YEAR 8 SET 1 SCHEME OF WORK KEY STAGE 3 22 NUMBER PATTERNS 1. Number (a) working systematically 182- Teacher File C1 Chapter 9 patterns (b) to continue patterns 183 Sequences Worksheet Sequences Worksheet Answers 2. Making (a) to generate the terms of a sequence with a rule or formula 184- Sequences Presentation Predictions (b) use the formula nth term = a+(n-1)d 185 10 Ticks level 5 pack 5 p25 onwards 3.Spatial (a) how to describe the rule for a sequence based on a 186- Patterns spatial pattern 187 4. Sequences (a) how to find the nth term of a simple sequence 188- (b) to generate terms of a sequence given a rule or formula 189 5. Review 190- 191 mental test TIME SCALE: End of term. 5 lessons 24 TRANSFORMATIONS 1. Reflections and (a) revise translation and reflection and the meaning of congruent 198- Enlargement Worksheet translations 199 Enlargement Worksheet Answers Reflection Worksheet 2. Rotation (a) to rotate, simple shapes. 200- Reflection Worksheet 2 (b) how to specify a rotation 201 Reflection Worksheet 3 Rotation Presentation 1 3. Enlargement (a) how to enlarge shapes 202- Rotation Presentation 2 (b) how to specify an enlargement 203 Rotation Interactive (c) The meaning of similar Translation Worksheet 10 Ticks level 4 pack 7 p29-38 4. Review 204- 10 Ticks level 5 pack 4 p31-35 205 10 Ticks level 6 pack 2 p3-22 test 22,23 TIME SCALE: End of term. 5 lessons Page 11 9d5336a0-d312-4781-8fdf-5cb031744b1f.xls LLANTWIT MAJOR SCHOOL YEAR 8 SET 1 SCHEME OF WORK KEY STAGE 3 23 MULTIPLYING AND DIVIDING 1. Multiplication (a) to multiply fractions 192- Multiplying Fractions Interactive FRACTIONS and division (b) to find a fraction of an amount 193 Dividing Fractions Interactive (c) to divide a fraction by a whole number 10 ticks level 5 pack 2, p28 onward 10 ticks level 6 pack 3 2. Reciprocals (a) to find the reciprocal of a fraction or a whole number 194- (b) to divide by a simple fraction 195 3. Review 196- 197 TIME SCALE: End of term. 4 lessons 25 CALCULATOR USE 1. Multi stage (a) To use brackets 206- calculations (b) To use the memory or the ANS button 207 2. Fractions (a) To enter fractions on a calculator and to simplify them 208- (b) to recognise the way a calculator displays fractions 209 (c) to covert between fractions and decimals 3. Indices (a) to use the index button 210- 211 4. Review 212- 213 test 24,25 TIME SCALE: End of term. 5 lessons End of Term Page 12 9d5336a0-d312-4781-8fdf-5cb031744b1f.xls