Departmental Curriculum Planning

Transcription

1 Departmental Curriculum Planning Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 7 Support Programme of Study Number Shape and space Algebra Data handling Module 1 Module 1 Module 2 Module 2 Module Number 1 Square 3.1 Number Times tables 5.1 Number sequence 1 Adding on Transformations Prime Factors and multiples Mental strategies Prime 2 Addition/multiplication facts Short and long multiplication Using letter symbols Short division Remainders Rounding Order of operations Reflective symmetry 2 Reflections 2 Translation 2 Rotational symmetry 1.2 Number 2 Numbers Adding and subtracting Negative Adding and subtracting decimals Calculator skills Multiplication and division 3.2 Measures Metric units and capacity Estimating metric units Mass problems Capacity problems Coordinates 5.2 Data Averages and range Bar charts and line Data handling project Shape Measuring length Metric units of length Perimeter Area Three dimensional shapes 3-D shapes problem solving Nets Time and money Units of time Reading clocks Timetables Time problems Real life problems Money problems 1.4 Data Interpreting data 3.4 Data Charts and Data handling project Probability Expected probability Probability experiments 5.4 Number Factors 2 Times tables Mental strategies Adding and subtracting 2 Multiplying whole

2 2.1 Number The four operations 1 Recognising fractions Equivalent fractions Percentages Decimal fractions Ordering decimals Fractions of quantities Decimals, fractions and 1 Improper fractions Data Bar charts 4.1 Transformatio ns 2.3 Probability Probability 1 Probability Algebra Collecting like terms 1 Using letter symbols Shape Triangles Coordinates 1 Angles 1 Parallel and perpendicular 3.5 Number Triangular and square Number sequences 2 Square and square roots Reflective symmetry Reflections 1 Translations Angles Angles 2 Angles on a straight line 4.3 Fractions Fractions Fractions of quantities 2 Fractions and decimals Improper fractions 2 Ordering fractions 4.4 Number Percentages of Doubling and halving Multiplying and partitioning Multiplication Division and decimals Long multiplication Rounding remainders Calculator, brackets and square roots 6.1 Number Decimals, fractions and The four operations 3 Using a calculator Sequence rules 6.2 Algebra Equations Balancing equations Substituting 6.3 Shape Coordinates in 4 quadrants Missing angles Nets 2

3 Assessment Opportunities Minimum of 2 assessment tasks per 10 week module Assessed Homework Suppose you roll an ordinary dice with 1, 2, 3, 4, 5, 6. Find the probability that you roll a) a 6 b) a number less than 3 lines A lorry uses an average of 124 litres of fuel per day. How much does the lorry use in 26 days? The four operations 4.5 Algebra Using letter symbols 3 Collecting like terms 2 Assessed Homework A turkey must be cooked for 40 minutes for every kilogram. How long do you need to cook a turkey that weighs (a) 3 kg? (b) 5 kg? Give your answers in hours and mins. Ella and Conor are given 65 to share in the ratio 3:2 How much does each person get? b) 40 can be exchanged for 74 dollars. How many dollars can be exchanged for 160? Assessed Homework A jar with 8 chocolates in it weighs 246g. The same jar with 13 chocolates in it weighs 306g. How much does the jar weigh on its own? 1.There are 11 players in a football team and there are 355 boys in a school. (a) How many teams of 11 can be formed? (b) How many boys will be left over?

4 Departmental Curriculum Planning Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 8 Support Programme of Study Topic (s) studies Number Algebra Shape and Space Data Handling Module 1 Module 1 Module 2 Module 2 Module 3 Module 3 Adding and 3.1 Graphs Vertical and 5.1 Number subtracting horizontal straight Long multiplication lines Long division Straight line 1 Negative Graphs from real life Factors and multiples 1.1 Properties of Mental strategies 3 (decimals, fractions, ) Order of operations Estimation Adding, subtracting, long multiplication and division 1.2 Angles Missing angles Using a protractor Labels for lines, angles and shapes Angles and parallel lines 3.2 Decimals Decimal fractions Multiplying by a decimal 5.2 Measures Metric measure 1.3 Algebra Using letter symbols 1 Collecting like terms 1 Substitution and formulas Number work Square and square roots Cubes and higher powers Sequences Sequence rules Prime 3.3 Number work 3.4 Using a calculator Multiplying and dividing by 10 and 100 Rounding Estimating Mental strategies 2 ( decimals, fractions and ) Short division Using a calculator effectively 5.3 Graphs Vertical and horizontal lines 2 Straight line 2 Graphs from real life 5.4 Algebra Equations 2

5 Equivalent fractions 1.5 Shape Quadrilaterals Constructing triangles 2.1 Fractions and Ordering fractions Decimals and fractions Adding and subtracting fractions 1 Fractions of quantities Percentages Percentage increase and decrease 2.2 Number work Multiplication and division facts Mental strategies 1 (x and ) Mental strategies 2 (x and ) Mental strategies 1 (decimals, fractions and ) 2.3 Probability Introduction to probability Probability experiments Outcomes 2.4 Measures Metric measures length Metric measures capacity Reading scales 2.5 Area and Perimeter Perimeter and area rectangles Perimeter and area triangles/rectangles Surface area of cuboids Volume of a cuboid 4.1 Transformations Reflections Rotations Translations Enlargements 4.2 Algebra Using symbols 2 Equations 1 Substitution into formulas Handling data Data hypotheses Averages and range 1 Pie charts Stem and leaf diagrams Interpreting data Data handling project 5.5 Investigations Investigations 6.1 Ratio Introduction to ratio Dividing into a given ratio Unitary method D shapes Identifying 3-D shapes Scale drawings 6.3 Shape Co-ordinates Surface area and volumes of cuboids 6.4 Data Data in groups and frequency diagrams Pie charts 2 Interpreting and comparing data Data handling project

6 Assessment Opportunities Minimum of 2 assessment tasks per 10 week module Assessed homework Find the new temperature in each case below (a) The temperature is + 4º and it falls by 7º (b) The temperature is 3º and it falls by 6º In 2008 a litre of petrol cost 90p. In 2009 the price increased by 10%. How much did a litre of petrol cost in 2009? Assessed homework a) Round the number 841 to the nearest 10 (b) Round the number 268 to the nearest 100 (c) Round the number to the nearest whole number. Gary buys a CD for 9.55 and book for 2.99 How much money will Gary have left from 20? Show your working. Assessed homework The latest James Bond DVDs costs 7.95 each. How many of these DVDs can you buy with 50? Find the value of each expression when d = 3 e = 4 f = 2 (a) d + e + f (b) d 2 e

7 Departmental Curriculum Planning Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 9 Support Programme of Study Topic (s) studies Key skills taught / developed / assessed Module 1 Module 1 Module 2 Module 2 Module 3 Module Sequences Introduction to 3.1 Area Area of triangles and 5.1 Number Problem solving sequences rectangles Unitary method Sequence rules Areas made from Using words for triangles and rectangles functions Surface area and volumes of cuboids 1.2 Graphs Graphs from real life Straight lines Number 1 Ordering decimals Fractions of quantities Ordering fractions Adding and subtracting fractions 1.4 Number 2 Changing into Ratio 1 Unitary method 1 Percentage increase and decrease Rounding off 3.2 Coordinates Coordinates 5.2 Shape Quadrilaterals and isosceles triangles 3D Objects, plans and elevations Bearings Surface area and volumes of cuboids Metric measures 3.4 Number Time Estimation Addition/subtraction of and Decimals Multiplications and division Calculator work Negative Factors, multiples and primes Squares/cube and square roots Measures 5.3 Data Stem and leaf diagrams

8 Assessment Opportunities Minimum of 2 assessment tasks per 10 week module 1.5 Algebra Collecting like terms and brackets Equations 2.1 Angles Parallel and perpendicular lines Missing angles Angles and parallel lines Angles in quadrilaterals 2.2 Shape Quadrilaterals The circle Constructing triangles Construction 2.3 Data Two-way tables Pie charts Averages and range Comparing data Project Tables, and charts 2.4 Number Order of operations Addition and subtraction Multiplication and Assessed homework Ian and Allie share a 2100 prize in the ratio 3:4. How much does Allie get? division Find the mean of the 4, 7, 3, 8, 2 (b) Find the median of the 4, 9, 3, 6, 6, 1, 3 (c) Find the mode of the 3, 1, 2, 3, 1, 4, 3, Probability Probability Probability game 4.2 Transformations Symmetry Enlargements Scale drawing 4.3 Ratio 2 Ratio problems Assessed homework How many 200ml containers of milk can be filled from a 4 litre bottle? Round off these to one decimal place (a) 7.34 (b) (c) Assessed homework A TV film starts at 19:20. The film is 55 minutes long. When does the film finish? a) Write down 3 with a mean of 5 (b) Write down 5 with a median of 7 (c) Write down 8 with a range of 11

9 Departmental Curriculum Planning Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 7 Core Programme of Study Number Shape and space Algebra Data handling Module 1 Module 1 Module 2 Module 2 Module Whole number arithmetic Use place value of 3.1 Coordinates Use 5.1 Rotation Rotating shapes digits in whole coordinates with Rotational Add with whole positive and symmetry negative Subtract with whole Multiply with whole involving shapes 1.2 Short division Divide a whole number by another whole number Solve mixed problems involving remainders 3.2 Long multiplication and division 2 Practise long multiplication and division Solve word problems 5.2 Line symmetry Line symmetry Reflections 1.3 Long multiplication and division Multiply by a two or three digit number Divide by a two digit number Solve mixed problems 1.4 Using a calculator The order of operations (+,-,x, ) Using a calculator with simple expressions Using the brackets key on a calculator 3.3 Decimals 1 Measure shapes using decimals Use place value with decimals Write in order of size Add and subtract decimal 3.4 Multiplying and dividing with decimals Multiply and divide by 10,100, 1000 Multiply decimals by whole Divide decimals by whole 5.3 Translation Translations 5.4 Number review Multiples, factors, prime, HCF, LCM Fractions, decimals and Long multiplication and division Adding, subtracting, multiplying and

10 1.5 Sequences Find the next term in a sequence Find and use a rule for a sequence involving harder sequences 1.6 Perimeter and area Find perimeters Find areas involving rectangles Find areas involving triangles 3.5 Properties of 3.6 Straight line Prime Factors of Multiples of Square and cube Lines which are parallel to the axis Sloping lines Finding the equation of a line Drawing straight line UNIT 1: Mixed review 3.7 Handling data Bar charts and bar-line Data in groups and line Pie charts Problems answered using statistics 2.1 Averages and range Find the mean, median and mode Find the range Compare 2 sets of data using average and range 2.2 Fractions Find equivalent fractions Find a fraction of a 3.8 Probability 1 The probability scale Experimental probability Equally likely outcomes Expected probability 3.9 Applying maths in a range of contexts in a variety of real life dividing decimals Finding a fraction of or percentage of a Quantity 5.5 Probability 2 Finding the probability of an event 5.6 Interpreting Read information from line Draw line in real life situations 5.7 Algebra review Algebraic expressions and formulas 5.8 Rounding Round Calculate using estimates Unit 5: Mixed review

11 2.3 Fractions, decimals and number Add and subtract fractions Convert between fractions, decimals and 2.4 Angles Label angles Measure and draw angles with a protractor Estimate angles Identify acute, obtuse, and reflex angles Calculate angles on a straight line and at a point Calculate angles in a triangle 2.5 Rules of algebra Use letters for Collect like terms Substitute into a formula Tackle balance puzzles situations Solve a range of puzzles Investigate problems with more than one solution Unit 3: Mixed review 6.1 More equations Review equations covered in section 4.1 Constructing triangles 4.2 Two dimensional shapes Construct triangles with protractor and Ruler Recognise parallel, perpendicular, horizontal and vertical lines Recognise different types of triangle Recognise different types of quadrilateral Recognise different polygons Identify symmetry properties of Quadrilaterals 4.3 Percentages Review the conversion of Sequence rules Find rules for sequences 6.3 Metric and imperial units 6.4 Angles and constructions Convert metric units Convert between metric and imperial Read scales Change units for some problems Review angle work from unit 2

12 4.4 Proportion and ratio 4.5 Negative fractions, decimals and Learn how to recognise common Learn how to find a percentage of a number Tackle problems involving proportion Express proportions Deal with ratios Compare negative Multiply and divide negative Add and subtract negative 4.6 More algebra Review substituting into a formula Learn how to solve equations Learn how to multiply out single brackets 4.6 More algebra Review substituting into a formula Learn how to solve equations Learn how to multiply out single brackets 6.5 Three dimensional objects Construct a triangle with three sides given Construct bisectors of lines and angles Recognise common solid objects Count faces, edges and vertices Make shapes with nets

13 Assessment Opportunities Minimum of 2 assessment tasks per 10 week module Assessed Homework 1a) Write in a more simple form i) 5n + 3n + m ii) 8a + b - 3a + 2b b) Here is a formula involving p and n. p = 6n - 10 Find the value of p when n = 12 A lorry uses an average of 124 litres of fuel per day. How much does the lorry use in 26 days? Assessed Homework 1.Suppose you roll an ordinary dice with 1, 2, 3, 4, 5, 6. Find the probability that you roll a) a 6 b) a number less than 3 c) a 7 2. Look at these 4, 15, 7, 36, 21 a) Which number is a multiple of 5? b) Which number is a factor of 14? c) Which of the are prime? d) Which of the are square? Ella and Conor are given 65 to share in the ratio 3:2 How much does each person get? b) 40 can be exchanged for 74 dollars. How many dollars can be exchanged for 160? Assessed Homework A jar with 8 chocolates in it weighs 246g. The same jar with 13 chocolates in it weighs 306g. How much does the jar weigh on its own? 1.There are 11 players in a football team and there are 355 boys in a school. (a) How many teams of 11 can be formed? (b) How many boys will be left over? 2. The eleventh number in the sequence 1, 3, 9, is (a) What is the tenth number in the sequence? (b) What is the thirteenth number in the sequence?

14 Departmental Curriculum Planning Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 8 Core Programme of Study Topic (s) studies Number Algebra Shape and Space Data Handling Module 1 Module 1 Module 2 Module 2 Module 3 Module Sequences Find the next term of a 3.1 Written 5.1 Ratio and sequence calculations proportion Find and use a rule for a sequence Review paper and pencil calculations Read scales and use place value Multiply decimal Divide decimal Use ratios Tackle problems involving direct proportion Use map scales 1.2 Fractions Convert improper fractions and mixed Adding and subtracting fractions Multiplying fractions 3.2 Using a calculator Use the order of operations with and without a calculator Use fractions on a calculator Use brackets on a calculator Use negative on a calculator 5.2 Negative review Add and subtract negative Multiply and divide negative 1.3 Properties of Use prime, factors and multiples Use square Break down into prime factors Use cube and higher powers 1.4 Negative Add and subtract negative Multiply and divide negative 1.5 Area and perimeter Find areas and perimeters using rectangles and triangles Find areas of parallelograms and 3.3 Formulas and expressions Substitute into a range of formula Work out values of expressions 3.4 Drawing Use lines which are parallel to the axes Draw Use Find the equation of a line 3.5 Reflection Draw reflections on squared paper Draw reflections using coordinates 5.3 Sequences the nth term Find the nth term of arithmetic sequences 5.4 Enlargement Enlarge shapes Use the centre of enlargement 5.5 Congruent shapes and tessellation Use congruent shapes Draw tessellation

15 2.1 Rounding off and estimating trapeziums Round to decimal places Calculate using estimates 2.2 Using algebra Collect like terms Use letters for Use rules of algebra 2.3 Fractions, decimals, Change fractions to decimals and vice versa Change fractions to recurring decimals Change to a percentage and vice versa 2.4 Geometrical reasoning Calculate angles with parallel lines Prove angle rules Calculate angles in a quadrilateral Solve mixed angle problems 2.5 Construction and locus Construct triangles Describe a locus Draw standard constructions 4.1 Describing data Use the mean, mode, median and range of a set of data Compare sets of data Find averages from frequency tables Draw and use stem and leaf diagrams 4.2 Rotation and combined transformations 4.3 Interpreting and sketching real life 4.4 Brackets and equations Rotate shapes Find the centre of rotation Combine transformations Interpret and sketch real-life Multiply out single brackets Solve linear equations Solve linear equations involving brackets by trial and improvement Form equations to solve problems 4.5 Fractions review Add and subtract fractions Multiply fractions Convert between fractions, decimals and 5.6 Drawing review Draw Find the equation of a line 5.7 Area review Use the areas of rectangles, triangles, trapeziums and parallelograms Use the area of a circle 6.1 Percentages Express one number as a percentage of another number Find a percentage of a number Find percentage increases and decreases 6.2 Probability Find the probability of events occurring or not occurring Find experimental probability Find probabilities involving two events 6.3 Measures Convert metric units Use imperial units

16 Assessment Opportunities Minimum of 2 assessment tasks per 10 week module 2.6 Circles Find the circumference of a circle Find the area of a circle Assessed homework a)work out 3/5 of 40 b) Work out 3/4-1/3 Write down which one below is equal to π. a)the circumference of a circle divided by its radius. b)the diameter of a circle divided by its circumference. c)the circumference of a circle divided by its diameter. 4.6 Handling data Use two-way tables Use grouped date Use pie charts Use scatter Assessed homework The total mass of six people is 264 kg. Work out the mean mass of the people a) Work out 50 (80 15) b) Work out Algebra review Collect like terms Substitute for letters Multiply out single brackets Solve linear equations D objects Draw 3-D objects on isometric paper with 3-D objects Draw 3 different views of a 3-D object 6.6 Bearings and scale drawing 6.7 Decimals review Use bearings Make scale drawings Add, subtract and order decimals Multiply and divide decimals 6.8 Volume Find and use volumes of cuboids Assessed homework On a holiday in Spain Susie exchanged 25 for 30 euros. How many euros could she get for 40? Solve the questions to find n in each case. (a) 5n + 3 = 15 3n (b) 5(n 2) = 3(n + 2)

17 Departmental Curriculum Planning Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 9 Core Programme of Study Topic (s) studies Key skills taught / developed / assessed Module 1 Module 1 Module 2 Module 2 Module 3 Module Written calculations Review paper and 3.1 Drawing and Draw straight line 5.1 Pythagoras Use Pythagoras to pencil calculations y=mx + c theorem find lengths of Multiply and Draw curved sides in right divide decimal angled triangles Find gradients of Review long straight lines multiplication and Use y = mx + c division Understand the effect of multiplying and dividing by between 0 and Using algebra Simplify terms Use letters for Multiply out single brackets Factorise with common factors 1.3 Geometrical reasoning Use the properties of a quadrilateral Find angles in polygons Review general angle work 1.4 Fractions Multiply and divide fractions Add and subtract fractions 3.2 Area Find areas using rectangles and triangles Find areas of trapeziums and parallelograms 3.3 Transformations Translate shapes Enlarge shapes by a fractional scale factor 3.4 Charts and Interpret charts Use pie charts 5.2 Number review Review noncalculator arithmetic Use negative Use fractions and 5.3 Probability Work out probabilities Examine mutually exclusive events 5.4 Interpreting Use travel Sketch and interpret Draw and interpret frequency polygons

18 1.5 Scatter Investigate correlation on scatter Use a line of best fit 1.6 Index laws Use index form and square roots Multiply and divide index Raise a power to another power 2.1 Using a calculator Use a calculator to solve a mixture of problems 2.2 Circles Use the circumference of a circle Use the area of a circle 2.3 Construction and scale drawing Use standard constructions 2.4 Solving equations Solve linear equations Solve linear equations involving brackets Use equations to solve problems 3.5 Drawing and visualising 3D shapes Draw and visualise 3D shapes Identify planes of symmetry 3.6 Volume Use volumes of prisms Use volumes of cylinders 4.1 Percentages Review basic Find percentage increases and decreases Calculate percentage changes Find reverse 4.2 Equation review Solve equations using trial and improvement 4.3 Finding a rule Find the nth term of a linear sequence Explore quadratic sequences 4.4 Averages and range Use the mean, median, mode and range Find averages from frequency tables Calculate an estimate for the mean from grouped date 5.5 Compound Measures Find speed, distance and time Use other compound measures 5.6 Algebra review Multiply out and factorise expressions Review index laws and substitute into formulas Draw Solve equations and find sequence rules 5.7 Errors in measurement Unit 5: Mixed review 6.1 Shape and space review Find and use upper and lower bounds ASSESSED HOMEWORK Calculate areas and angles 6.2 Practice test papers Check how you are doing with three practice test papers

19 2.5 Estimating Calculate using estimates 2.6 Fully functional Use timetables Use charts and tables Minimise costs 4.5 Ratio and map scales Use ratios Share using ratios Use map scales 6.3 Simultaneous equations 4.6 Locus Draw loci 6.4 Collecting and interpreting data Solve simultaneous equations graphically Solve simultaneous equations algebraically Learn about collecting data and questionnaires Collect your own data to answer a question or solve a problem 6.5 Inequalities Write and display inequalities Solve inequalities Assessment Opportunities Minimum of 2 assessment tasks per 10 week module Assessed homework Write in index form (a) 3 x 3 x 3 x 3 x 3 (b) n x n x n (c) 8 3 x 8 7 Simplify the following expressions (a) 4a x 5a (b) 4(x + 3) + 2 x (c) 9(t - 2) + 3(2t + 5) Assessed homework Look at the 11, 3, 6, 8, 4 (a) What is the range of the? (b) What is the mean average of the? A floor measuring 4m by 3.5m is to be covered by square tiles measuring 50cm by 50cm. The tiles are sold in packs of 10 for per pack. How much will it cost to buy the tiles for this floor? (Note that you have to buy packs of 10 tiles) Assessed homework The price of a ticket to watch Chelsea went up from 40 to 48. Work out the percentage increase in the price. (a) A bird is flying at a steady speed of 8m/s. How long does it take to fly 20m? (b) A train takes 4 hours to travel a distance of 260km. What is its average speed?

20 Departmental Curriculum Planning Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 7 Higher Programme of Study Number Shape and space Algebra Data handling Module 1 Module 1 Module 2 Module 2 Module Whole number arithmetic Use place value of 3.1 Coordinates Use 5.1 Rotation Rotating shapes digits in whole coordinates with Rotational Add, subtract and positive and symmetry multiply with whole negative Divide a whole number by a single digit involving shapes number 1.2 Long multiplication and division Multiply a two or three digit number Divide by a two digit number Solve mixed problems 3.2 Long multiplication and division 2 Practise long multiplicatio n and division Solve word problems 5.2 Line symmetry Line symmetry 1.3 Decimals Use place value with decimals Add and subtract decimal Multiply and divide decimal 1.4 Using a calculator The order of operations (+,-,x, ) Using a calculator with simple expressions Using brackets and memory keys on a calculator 3.3 Decimals 2 Add, subtract, multiply and divide with decimals 3.4 Properties of Prime Factors of Multiples of Square and cube 5.3 Translation Translations 5.4 Number review Multiples, factors, HCF, LCM Fractions, decimals and Long multiplication and division Adding, subtracting, multiplying and dividing decimals Finding a fraction or percentage of a quantity

21 1.5 Sequences Find the next term in a sequence Find and use a rule for a sequence involving harder sequences 1.6 Perimeter and area Find perimeters Find areas involving rectangles Find areas involving triangles 3.5 Straight line Lines which are parallel to the axis Finding the equation of a line Drawing straight line 3.6 Handling data Bar charts and bar line Data in groups and line Pie charts Problems answered using statistics UNIT 1: Mixed review 3.7 Probability 1 The probability scale Experimental probability Equally likely outcomes Expected probability 2.1 Averages and range Find the mean, median and mode Find the range Compare 2 sets of data using average and range Find averages from frequency tables 3.8 Applying maths in a range of contexts in a variety of real life situations Solve a range of puzzles Investigate problems with more than one solution 5.5 Probability 2 Finding the probability of an event 5.6 Interpreting Read information from line Draw line in real life situations Interpret and draw travel 5.7 Rounding Round Calculate using estimates 5.8 Circles Find the circumference of a circle Find the area of a circle

22 2.2 Fractions Find equivalent fractions Find a fraction of a number Add and subtract fractions (including mixed ) 2.3 Fractions, decimals and Convert between fractions, decimals and 2.4 Angles Label angles Measure and draw angles with a protractor Calculate angles on a straight line and at a point Calculate angles in a triangle Calculate angles with parallel lines Calculate angles in a quadrilateral 2.5 Rules of algebra Use letters for Collect like terms Multiply algebraic terms Substitute into a formula Tackle balance puzzles 4.1 Constructing triangles 4.2 Two dimensional shapes Construct triangles with protractor and ruler Construct triangles with three given sides Recognise different types of quadrilateral Recognise different polygons Identify symmetry properties of Quadrilaterals Unit 5: Mixed review 6.1 More equations Review equations covered in section Sequence rules Find rules for sequences 6.3 Metric and imperial units Convert metric units Convert imperial units Convert between metric and imperial Change units for some problems

23 4.3 Percentages Review the conversion of fractions, decimals and Express one number as a percentage of another Find a percentage of a number 4.4 Proportion and ratio 4.5 Negative Tackle problems involving proportion Deal with ratios Add and subtract negative 4.6 More algebra Review section 2 algebra 6.4 Angles and constructions 6.5 Three dimensional objects Review angle work from unit 2 Construct bisectors of lines and angles Count faces, edges and vertices Make shapes with nets

24 Assessment Opportunities Minimum of 2 assessment tasks per 10 week module Assessed Homework 1a) Write in a more simple form i) 5n + 3n + m ii) 8a + b - 3a + 2b b) Here is a formula involving p and n. p = 6n - 10 Find the value of p when n = 12 A lorry uses an average of 124 litres of fuel per day. How much does the lorry use in 26 days? Assessed Homework 1.Suppose you roll an ordinary dice with 1, 2, 3, 4, 5, 6. Find the probability that you roll a) a 6 b) a number less than 3 c) a 7 2. Look at these 4, 15, 7, 36, 21 a) Which number is a multiple of 5? b) Which number is a factor of 14? c) Which of the are prime? d) Which of the are square? Ella and Conor are given 65 to share in the ratio 3:2 How much does each person get? b) 40 can be exchanged for 74 dollars. How many dollars can be exchanged for 160? Assessed Homework A jar with 8 chocolates in it weighs 246g. The same jar with 13 chocolates in it weighs 306g. How much does the jar weigh on its own? 1.There are 11 players in a football team and there are 355 boys in a school. (a) How many teams of 11 can be formed? (b) How many boys will be left over? 2. The eleventh number in the sequence 1, 3, 9, is (a) What is the tenth number in the sequence? (b) What is the thirteenth number in the sequence?

25 Departmental Curriculum Planning Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 8 Higher Programme of Study Topic (s) studies Number Algebra Shape and Space Data Handling Module 1 Module 1 Module 2 Module 2 Module 3 Module Properties of Prime 3.1 Reflection Draw reflections on 5.1 Enlargement Recognise Factors and multiples squared paper enlargements and Square Draw reflections using their Prime factor coordinates properties decomposition Investigate reflections in Draw enlargements Cube and higher other situations of shapes powers Use centre of enlargement with fractional scale 1.2 Fractions Equivalent fractions Adding and subtracting fractions Multiplying fractions 1.3 Area and perimeter Rectangles, triangles, parallelograms and trapeziums Solve a variety of mixed problem 1.4 Negative Add and subtract negative Multiply and divide negative 1.5 Sequences Find the next term of a sequence Find and use a rule for a sequence involving 3.2 Describing data Mean, median, mode and range of a set of data Comparing sets of data Finding averages from frequency tables Stem and Leaf diagrams 3.3 Mental Calculations 3.4 Using formulas and expressions 3.5 Construction and locus Adding, subtracting and doubling Mental calculations in a range of contexts Answer questions similar questions to mental SATS questions Substitute values into a range of Formulas Evaluate expressions of increasing complexity Construct triangles with ruler, protractor and compasses Draw and describe the locus of a point 5.2 Sequences and formulae 5.3 Applying maths in a range of contexts Pythagoras theorem 5.5 Drawing and using Factors The nth term Use mapping to find the nth term involving the nth term in a wide range of Contexts Calculate the length of a side in a right angled triangle using Pythagoras Theorem Draw straight line Draw using a computer/graphical calculator

26 sequences 1.6 Using a calculator Review the correct order of operations Use the fraction and calculator buttons Use the memory and raising to a power button 2.1 Written calculations Review paper and pencil calculations with whole and decimals 2.2 Estimating and checking answers Estimate the value of a calculation Check answers to see if they are about right Round to one or two decimal places 2.3 Geometrical reasoning Find angles using a wide range of angle properties Prove results in geometry 2.4 Using algebra Rules of algebra in expressions Use algebra to solve problems 4.1 Bearings and scale drawing Draw constructions with ruler and compasses only Learn about bearings Make scale drawings to solve problems 4.2 Using a spread sheet on a computer 4.3 Handling data Draw and interpret scatter Bar and pie charts Use a computer to produce charts 4.4 Fractions, decimals and 4.5 Interpreting and sketching real life Write fractions, decimals and in different forms Recurring decimals involving percentage increase or decrease Interpret a range of Sketch from a real life context Find equation of a straight line Draw curved Use in a real life context 5.6 Using ratios Use and simplify ratios Share quantities in a given ratio Use ratio in a range of contexts 5.7 Congruent shapes and tessellation using map scales Congruent shapes Tessellation 6.1 More Algebra Solve equations involving fractions Solve equations involving brackets Solve word problems by forming equations Use algebra to explain connections 6.2 Volume of objects 6.3 Percentages 2 Volume of cuboid and other prisms Volume of a cylinder Review interchanging between, decimals and fractions Increase and

27 2.5 Applying maths in a range of contexts 1 in a range of contexts 2.6 Circles The circumference of a circle and perimeters of other shapes The area of a circle 4.6 Rotation and combined transformations 4.7 Brackets and equations Rotating shapes Centre of rotation Combined transformations Multiply brackets and simplify expressions Solve linear equations by forming equations decrease quantities by a percentage 6.4 Probability Probability of events not occurring Expected number of times an event will occur Probability involving two events Experimental 6.5 Statistical methods probability Discuss a statistical problem, collect relevant data and present the data in an effective way Assessment Opportunities Minimum of 2 assessment tasks per 10 week module Assessed homework a)work out 3/5 of 40 b) Work out 3/4-1/3 Write down which one below is equal to π. a)the circumference of a circle divided by its radius. b)the diameter of a circle divided by its circumference. c)the circumference of a circle divided by its diameter. Assessed homework The total mass of six people is 264 kg. Work out the mean mass of the people a) Work out 50 (80 15) b) Work out Assessed homework On a holiday in Spain Susie exchanged 25 for 30 euros. How many euros could she get for 40? Solve the questions to find n in each case. (a) 5n + 3 = 15 3n (b) 5(n 2) = 3(n + 2)

28 Departmental Curriculum Planning Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 9 Higher Programme of Study Topic (s) studies Key skills taught / developed / assessed Module 1 Module 1 Module 2 Module 2 Module 3 Module Working with Review paper and 3.1 Shape and space Find angles in a 5.1 Trigonometry Finding an angle or a pencil calculations variety of shapes side in a right Work with prime Bearings angled triangle, factors Pythagoras Find the length of and multiples Review reflection, the hypotenuse Review the rotation, Use trigonometry to correct order of enlargement and solve problems operations and translation based on real life inverse operations situations Use a calculator effectively Calculate with negative Practise long multiplication and division 1.2 Using algebra Revise important rules of algebra, including brackets Solve linear equations using algebra Factorise expressions 3.2 Sequences finding a rule Nth term of a sequence Quadratic sequences 5.2 Inequalities Write and display inequalities Solve inequalities Inequalities with two variables 1.3 Congruent shapes and construction Congruent triangles Constructions using a ruler and compasses 3.3 Rounding, estimating errors and bounds Round off Estimate the answer to a calculation Errors in measurement Bounds of accuracy 5.3 Probability Experimental probability Probability with one or two events Exclusive events

29 1.4 Geometrical reasoning Review properties of quadrilaterals and triangles Angles in a polygon 1.5 Data handling Averages and range of data Calculate the mean of data presented in groups Frequency polygons 1.6 Multiplying brackets Multiply pairs of expressions in brackets using algebra 2.1 Using fractions Multiply, divide, add and subtract fractions involving fractions Recurring decimals Algebraic fractions 2.2 Working with indices Multiplying and dividing using indices 3.4 Drawing and visualising 3D shapes Draw 3D objects using isometric paper Draw different views of an object Solve puzzles involving 3D objects Planes of symmetry 3.5 Percentage change Percentage increase and decrease Reverse Mixed questions involving 4.1 Transformations Use vectors to describe translations Complete descriptions of given single transformations Questions involving successive 4.2 Reading and interpreting charts and transformations Pie charts, bar charts and scatter Interpret and draw line and sketch Read and draw travel 4.3 Area and volume Review the use of formulae of simple 5.4 Gradient of a line, y = mx + c Gradient of a line Find the y intercept Questions with straight lines in the form y = mx + c Gradients of parallel and perpendicular lines 5.5 Mathematical reasoning, proof 6.1 Drawing and using 6.2 Compound measures Use a range of mathematical processes to solve problems and make predictions Prove geometric and algebraic results Practise drawing accurate straight line Draw curved Solve difficult equations appropriately using involving speed, distance and time involving density, rates of exchange and various compound measures 6.3 Locus Show the locus of a point Geometric

30 Raise a number to a further power and the zero index Solve equations involving indices 2.3 Standard form Write in standard form involving in standard form Standard form on a calculator 4.4 Collecting and interpreting data areas and volume Learn how to find the radius of a circle Solve a range of problems Collect data and questionnaires Possible bias in data collection Collect own data to answer questions or solve a problem 6.4 Changing the subject of a formula construction to show the locus of a point Answer a range of questions, involving three dimensions change the subject of a formula 2.4 Applying maths in a range of contexts 1 by applying mathematical knowledge across a range of topics 2.5 Scatter Draw and interpret scatter Draw and use a line of best fit 2.6 Trial and improvement Learn about trial and improvement Solve equations and problems of increasing difficulty 4.5 Applying maths in a range of contexts Simultaneous equations Solve a wide range of problems by applying appropriate mathematical knowledge Simultaneous equations with a graph Solve simultaneous equations algebraically using simultaneous equations 6.5 Similar shapes Recognise similar shapes Solve a range of problems involving similar shapes

31 Assessment Opportunities Minimum of 2 assessment tasks per 10 week module Assessed homework Write in index form (a) 3 x 3 x 3 x 3 x 3 (b) n x n x n (c) 8 3 x 8 7 Simplify the following expressions (a) 4a x 5a (b) 4(x + 3) + 2 x (c) 9(t - 2) + 3(2t + 5) Assessed homework Max and Sophie have bikes with different size wheels. The wheels on Max s bike have a diameter of 55cm. Max rolls the bike forward so that the wheels turn round exactly once. (a) How far has Max moved? The wheels on Sophie s bike have a diameter of 62cm. Sophie rolls forward a distance of 1200cm. (b) Calculate how many times the wheels go around completely. Typical question Solve the following simultaneous equations x+y=10 2x+3y=24 Assessed homework Make x the subject. (a) w + mx = t (b)a + hex= fx (c)kx= n + cx A right angled triangle has sides of length 5cm, 12cm and 13cm. Work out the size of the smallest angle in the triangle, giving your answer correct to one decimal