Mathematics Key Stage 4

Transcription

1 Mathematics Key Stage 4 Year 9 Foundation Module 1: Number Module 2 Algebra Higher Module 1 Number Module 2 Algebra Foundation Module 2 Algebra Module 3 Graphs, tables & charts Higher Module 2 Algebra Module 3 Interpreting & representing data Foundation Module 3 Graphs, tables & charts Module 4 Fractions & percentages Higher Module 3 Interpreting & representing data Module 4 Fractions, ratio & percentages Foundation Module 4 Fractions & percentages Module 5 Equations, inequalities & sequences Higher Module 5 Angles & trigonometry Foundation Module 6 Angles Module 7 Averages & range Higher Module 6 Graphs Module 7 Area & volume Foundation Module 8 Perimeter, area & volume 1 Higher Module 8 Transformations & constructions Assessment Year 9 Module Tests as linked to Units Module Tests as linked to Units Module Tests as linked to Units Long term Plan Autumn Term 1 Autumn Term 2 Spring Term 1 Spring Term 2 Summer Term 1 Summer Term 2

2 Year 10 Foundation Module9 Graphs Module10 Transformations Higher Module9 Equations & inequalities Module 10 Probability Foundation Module 10 Transformations Module 11 Ratio & Proportion Higher Module 10 Probability Module 11 Multiplicative reasoning Foundation Module12 Right angled triangles Module 13 Higher Module 12 Further statistics Module 13 Similarity & congruence Foundation Module 13 Probability Module 14 Multiplicative reasoning Higher Module 14 More trigonometry Foundation Module 15 Construction, loci & bearings Module 16 Quadratic equations & graphs Higher Module 15 Equations & graphs Module 16 Circle theorems Foundation Module 17 Perimeter, area & volume 2 Higher Module 17 More algebra Assessment Year 10 Module Tests as linked to Units Module Tests as linked to Units Module Tests as linked to Units Year 11 Foundation Module 18 Fractions, indices & standard form Higher Module 18 Foundation Module 19 Congruence, similarity & vectors Module 20 More algebra Foundation Revision Higher Revision Foundation Revision Higher Revision Foundation Revision Higher Revision

3 Vectors & geometric proof Higher Module 19 Proportion & graphs Assessment Year 11 Module Tests as linked to Units Past Papers and Internal Examinations Maths GCSE

4 Birkdale High School Maths Department Key Stage 3 Scheme of Work Unit: 1: Number version 1 Year Group: 9 Foundation Aims of the Unit: Use priority of operations with positive and negative numbers. Simplify calculations by cancelling. Use inverse operations. Round to a given number of decimal places. Multiply and divide decimal numbers. Write decimal numbers of millions. Round to a given number of significant figures. Estimate answers to calculations. Use one calculation to Assessment Objectives covered N1 order positive and negative integers, decimals and fractions; use the symbols =,, <, >,, N2 apply the four operations, including formal written methods, to integers, decimals and simple fractions (proper and improper), and mixed numbers all both positive and negative; understand and use place value (e.g. when working with very large or very small numbers, and when calculating with decimals) N3 recognise and use relationships between operations, including inverse operations (e.g. cancellation to simplify calculations and expressions); use conventional notation for priority of operations, including brackets, powers, roots and reciprocals N4 use the concepts and vocabulary of prime numbers, factors (divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation theorem N5 apply systematic listing strategies N6 use positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5 N7 calculate with roots and with integer indices N13 use standard units of mass, length, time, money and other measures (including standard compound measures) using decimal quantities where appropriate N14 estimate answers; check calculations using approximation and estimation, including answers obtained using technology N15 round numbers and measures to an appropriate degree of accuracy (e.g. to a specified number of decimal places or significant figures);... N3 recognise and use relationships between operations, including inverse operations (e.g. cancellation to simplify calculations and expressions); use conventional notation for priority of operations, including brackets, powers, roots and reciprocals N6 use positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5 N2 apply the four operations, including formal written methods, to integers, decimals and simple fractions (proper and improper), and mixed numbers all both positive and negative; understand and use place value (e.g. when working with very large or very small numbers, and when calculating with decimals) N13 use standard units of mass, length, time, money and other measures (including standard compound measures) using decimal quantities where appropriate N15 round numbers and measures to an appropriate degree of accuracy (e.g. to a specified number of decimal places or significant figures); N14 estimate answers; check calculations using approximation and estimation, including answers obtained using technology N15 round numbers and measures to an appropriate degree of accuracy (e.g. to a specified number of decimal places or significant figures);... Assessment Tasks Module 1 test: Check up Strengthen Extend Knowledge check

5 find the answer to another. Recognise 2- digit prime numbers. Find factors and multiples of numbers. Find common factors and common multiples of two numbers. Find the HCF and LCM of two numbers by listing. Find square roots and cube roots. Recognise powers of 2, 3, 4 and 5. Understand surd notation on a calculator. Use index notation for powers of 10. Use index notation in calculations. Use the laws of indices. Write a number as the N4 use the concepts and vocabulary of prime numbers, factors (divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation theorem N5 apply systematic listing strategies N3 recognise and use relationships between operations, including inverse operations (e.g. cancellation to simplify calculations and expressions); use conventional notation for priority of operations, including brackets, powers, roots and reciprocals N6 use positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5 N7 calculate with roots and with integer indices N4 use the concepts and vocabulary of prime numbers, factors (divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation theorem N5 apply systematic listing strategies

6 product of its prime factors. Use prime factor decomposition and Venn diagrams to find the HCF and LCM. SMSC 1. Financial Capability 2. Economic wellbeing 3. Government & Public Services Understanding Four Operations- Money Problems, Benefits, Budgeting, Best buys, Exchange Rates & Temperature (negative numbers) Percentages- Bank Interest, Depreciation, Compound Interest, Risk & Reward Banking, Wages, Tax & VAT Problems Time- Bus timetables,12hr & 24hr Ratio & Proportion- Recipes, Population and Working/Man Hour problems RWCM Communication of solutions CIAG Subject Specific

7 Birkdale High School Maths Department Key Stage 4 Scheme of Work Unit: 1: Number version 2 Year Group: 9 Foundation Aims of the Unit: Assessment Objectives covered Assessment 1.1 Calculations 1.2 Decimal numbers 1.3 Place Value 1.4 Factors and multiples 1.5 Squares, cubes and roots 1.6 Index notation 1.7 Prime factors 1.8 Problem solving Use priority of operations with positive and negative numbers. Simplify calculations by cancelling. Use inverse operations. Round to a given number of decimal places. Multiply and divide decimal numbers. Write decimal numbers of millions. Round to a given number of significant figures. Estimate answers to calculations. Use one calculation to find the answer to another. Recognise 2-digit prime numbers. Find factors and multiples of numbers. Find common factors and common multiples of two numbers. Find the HCF and LCM of two numbers by listing. Tasks Module 1 test: Check up Strengthen Extend Knowledge check

8 Find square roots and cube roots. Recognise powers of 2, 3, 4 and 5. Understand surd notation on a calculator. Use index notation for powers of 10. Use index notation in calculations. Use the laws of indices. Write a number as the product of its prime factors. Use prime factor decomposition and Venn diagrams to find the HCF and LCM. SMSC 1. Financial Capability 2. Economic wellbeing 3. Government & Public Services Understanding Four Operations- Money Problems, Benefits, Budgeting, Best buys, Exchange Rates & Temperature (negative numbers) Percentages- Bank Interest, Depreciation, Compound Interest, Risk & Reward Banking, Wages, Tax & VAT Problems Time- Bus timetables,12hr & 24hr Ratio & Proportion- Recipes, Population and Working/Man Hour problems RWCM Communication of solutions CIAG Subject Specific

9

10 Birkdale High School Maths Department Key Stage 4 Scheme of Work Unit: 2 Algebra Year Group: 9 Foundation Aims of the Unit: Assessment Objectives covered Assessment 2.1 Algebraic expressions 2.2 Simplifying 2.3 expressions 2.4 Substitution 2.5 Formulae 2.6 Expanding brackets 2.7 Factorising 2.8 Using expressions and formulae 2.9 Problem solving Use correct algebraic notation. Write and simplify expressions. Use the index laws. Multiply and divide expressions. Substitute numbers into expressions. Recognise the difference between a formula and an expression. Substitute numbers into a simple formula. Expand brackets. Simplify expressions with brackets. Substitute numbers into expressions with brackets and powers Recognise factors of algebraic terms. Factorise algebraic expressions. Use the identity symbol and the not equals symbol Write expressions and simple formulae to solve problems. Use maths and science formulae. Tasks Module 2 test: Check up Strengthen Extend Knowledge check Key Vocabulary SMSC RWCM 1. Financial Capability 2. Economic wellbeing 3. Government & Public Services Understanding Formula- Creating algebraic formulae, Public Spending, Temperature Problems Substitution- Mobile Phone or other Bills, Distance Speed & Time Problems, Science Formulae Sequences- Traffic lights, Time Problems

11 Algebraic Graphs- Interpretation and effects of change in input data Prior Learning CIAG Subject Specific Birkdale High School Maths Department Key Stage 4 Scheme of Work Unit: 3 Graphs tables and Charts Year Group: 9 Foundation

12 Aims of the Unit: Assessment Objectives covered Assessment Tasks Module 3 test: Check up Strengthen Extend Knowledge check 3.1 Frequency tables 3.2 Two way tables 3.3 Representing data 3.4 Time series 3.5 Stem & Leaf diagrams 3.6 Pie Charts 3.7 Scatter Graphs 3.8 Line of Best Fit 3.9 Problem Solving Designing tables and data collection sheets. Reading data from tables. Use data from tables. Design and use two-way tables. Draw and interpret comparative and composite bar charts. Interpret and compare data shown in bar charts, line graphs and histograms. Plot and interpret time series graphs. Use trends to predict what might happen in the future. Construct and interpret stem and leaf and back-to-back stem and leaf diagrams. Draw and interpret pie charts. Plot and interpret scatter graphs. Determine whether or not there is a relationship between sets of data. Draw a line of best fit on a scatter graph. Use the line of best fit to predict values. Key Vocabulary SMSC RWCM 1. Financial Capability 2. Economic wellbeing 3. Government & Public Services Understanding Formula- Creating algebraic formulae, Public Spending, Temperature Problems Substitution- Mobile Phone or other Bills, Distance Speed & Time Problems, Science Formulae Sequences- Traffic lights, Time Problems Algebraic Graphs- Interpretation and effects of change in input data Prior Learning CIAG Subject Specific

13 Birkdale High School Maths Department Key Stage 4 Scheme of Work Unit: 4 Fractions and Percentages Year Group: 9 Foundation Aims of the Unit: Assessment Objectives covered Assessment Tasks

14 4.1 Working with Fraction 4.2 Operations with fractions 4.3 Multiplying factions 4.4 Dividing fractions 4.5 Fractions and Decimals 4.6 Fractions and Percentages 4.7 Calculating percentages Calculating percentages Problem solving Compare fractions. Add and subtract fractions. Use fractions to solve problems. Find a fraction of a quantity or measurement. Use fractions to solve problems Multiply whole numbers, fractions and mixed numbers. Simplify calculations by cancelling. Divide a whole number by a fraction. Divide a fraction by a whole number or a fraction. Convert fractions to decimals and vice versa. Use decimals to find quantities. Write one number as a fraction of another. Convert percentages to fractions and vice versa. Write one number as a percentage of another. Convert percentages to decimals and vice versa. Find a percentage of a quantity. Use percentages to solve problems. Calculate simple interest. Calculate percentage increases and decreases. Use percentages in real-life situations. Calculate VAT (value added tax). Module 4 test: Check up Strengthen Extend Knowledge check Key Vocabulary SMSC RWCM 1. Financial Capability 2. Economic wellbeing 3. Government & Public Services Understanding Four Operations- Money Problems, Benefits, Budgeting, Best buys, Exchange Rates & Temperature (negative numbers) Percentages- Bank Interest, Depreciation, Compound Interest, Risk & Reward Banking, Wages, Tax & VAT Problems Time- Bus timetables,12hr & 24hr Ratio & Proportion- Recipes, Population and Working/Man Hour problems

15 Prior Learning CIAG Subject Specific

16 Birkdale High School Maths Department Key Stage 4 Scheme of Work Unit: 5 Equations, Inequalities and Sequences Year Group: 9 Foundation Aims of the Unit: Assessment Objectives covered Assessment Tasks 5.1 Solving equations Solving equations Solving equations with brackets 5.4 Introducing inequalities 5.5 More inequalities 5.6 Using formulae 5.7 Generating sequences 5.8 Using the nth term of a sequence 5.9 Problem solving Module 5 test: Check up Strengthen Extend Knowledge check Understand and use inverse equations. Rearrange simple linear equations. Solve simple linear equations. Solve two-step equations. Solve linear equations with brackets. Solve equations with unknowns on both sides. Use correct notation to show inclusive and exclusive inequalities. Solve simple linear inequalities. Write down whole numbers which satisfy an inequality. Represent inequalities on a number line. Solve two-sided inequalities. Substitute values into formulae and solve equations. Change the subject of a formula. Know the difference between an expression, an equation, a formula and an identity. Recognise and extend sequences. Recognise and extend sequences. Key Vocabulary SMSC RWCM 1. Financial Capability 2. Economic wellbeing 3. Government & Public Services Understanding Formula- Creating algebraic formulae, Public Spending, Temperature Problems Substitution- Mobile Phone or other Bills, Distance Speed & Time Problems, Science Formulae Sequences- Traffic lights, Time Problems Algebraic Graphs- Interpretation and effects of change in input data

17 Prior Learning CIAG Subject Specific Birkdale High School Maths Department Key Stage 4 Scheme of Work Unit: 6 Angles Year Group: 9 Foundation Aims of the Unit: Assessment Objectives covered Assessment Tasks 6.1 Properties of shapes Solve geometric problems using side and angle properties of quadrilaterals. Module 6 test:

18 6.2 Angles in parallel lines 6.3 Angles in triangles 6.4 Exterior and interior angles 6.5 More exterior and interior angles 6.6 Geometrical problems Problem solving Identify congruent shapes. Understand and use the angle properties of parallel lines. Find missing angles using corresponding and alternate angles. Solve angle problems in triangles. Understand angle proofs about triangles. Calculate the interior and exterior angles of regular polygons. Calculate the interior and exterior angles of polygons. Explain why some polygons fit together and some others do not Solve angle problems using equations. Solve geometrical problems showing reasoning. Check up Strengthen Extend Knowledge check Key Vocabulary SMSC RWCM 1. Financial Capability 2. Economic wellbeing 3. Government & Public Services Understanding Bearings- Direction & Mileage of the Local Area Imperial & Metric- Conversions and Understanding the difference Area & Volume- Decorating & Budgeting Angles- Sporting Problems Prior Learning CIAG Subject Specific

19 Birkdale High School Maths Department Key Stage 4 Scheme of Work Unit: 7 Averages and Range Year Group: 9 Foundation Aims of the Unit: Assessment Objectives covered Assessment Tasks 7.1 Mean and Range 7.2 Mode, median and range 7.3 Types of averages Calculate the mean from a list and from a frequency table. Compare sets of data using the mean and range Module7 test: Check up Strengthen

20 7.4 Estimating the mean 7.5 Sampling 7.6 Problem solving Find the mode, median and range from a stem and leaf diagram. Identify outliers. Estimate the range from a grouped frequency table. Recognise the advantages and disadvantages of each type of average. Find the modal class. Find the median from a frequency table. Estimate the mean of grouped data. Understand the need for sampling. Understand how to avoid bias. Extend Knowledge check Key Vocabulary SMSC RWCM 1. Financial Capability 2. Economic wellbeing 3. Government & Public Services Understanding Statistics- Analysis, Sample Size and data format Graphs- Population patterns, Money Comparisons, Interpreting & Economic Issues Probability- Gambling Risks, Insurance policies Questionnaires- Completing Surveys and Formulating Conclusions Prior Learning CIAG Subject Specific

21 Birkdale High School Maths Department Key Stage 4 Scheme of Work Unit: 8 Perimeter and Volume 1 Year Group: 9 Foundation Aims of the Unit: Assessment Objectives covered Assessment Tasks 8.1 Rectangles, parallelograms and triangles 8.2 Trapezia and changing units Module 8 test: Check up Strengthen Extend Knowledge check Calculate the perimeter and area of rectangles, parallelograms and triangles. Estimate lengths, areas and costs. Calculate a missing length, given the area. Calculate the area and perimeter of trapezia. Find the height of a trapezium given its area. Convert between area measures. Calculate the perimeter and area of shapes made from triangles and rectangles. Calculate areas in hectares, and convert between ha and m 2.

22 8.3 Area of compound shapes 8.4 Surface area of 3D solids 8.5 Volume of prisms 8.6 More volume and surface area 8.7 Problem solving Calculate the surface area of a cuboid. Calculate the surface area of a prism. Calculate the volume of a cuboid. Calculate the volume of a prism. Solve problems involving surface area and volume. Convert between measures of volume. Key Vocabulary SMSC RWCM 1. Financial Capability 2. Economic wellbeing 3. Government & Public Services Understanding Bearings- Direction & Mileage of the Local Area Imperial & Metric- Conversions and Understanding the difference Area & Volume- Decorating & Budgeting Angles- Sporting Problems Prior Learning CIAG Subject Specific

23

24 Birkdale High School Maths Department Key Stage 4 Scheme of Work Unit: 1: Number Year Group: 9 Higher Aims of the Unit: Assessment Objectives covered Assessment 1.1 Number problems and reasoning 1.2 Place value and estimating 1.3 HCF & LCM 1.4 Calculating with powers (indices) 1.5 Zero, negative and fractional indices 1.6 Powers of 10 & 9.7 Standard form 1.8 Surds 1.9 Problem solving Work out the total number of ways of performing a series of tasks. Estimate an answer. Use place value to answer questions. Write a number of the product of its prime factors. Find the HCF and LCM of two numbers. Use powers and roots in calculations. Multiply and divide using index laws. Work out a power raised to a power. Use negative indices. Use fractional indices. Write a number in standard form. Calculate with numbers in standard form. Understand the difference between rational and irrational numbers. Simplify a surd. Rationalise a denominator. Tasks Module 1 test: Check up Strengthen Extend Knowledge check SMSC 1. Financial Capability 2. Economic wellbeing 3. Government & Public Services Understanding Four Operations- Money Problems, Benefits, Budgeting, Best buys, Exchange Rates & Temperature (negative numbers) Percentages- Bank Interest, Depreciation, Compound Interest, Risk & Reward Banking, Wages, Tax & VAT Problems Time- Bus timetables,12hr & 24hr Ratio & Proportion- Recipes, Population and Working/Man Hour problems RWCM Communication of solutions

25 CIAG Subject Specific

26 Birkdale High School Maths Department Key Stage 4 Scheme of Work Unit: 2 Algebra Year Group: 9 Higher Aims of the Unit: Assessment Objectives covered Assessment 2.1 Algebraic indices 2.2 Expanding and factorising 2.3 Equations 2.4 Formulae 2.5 Linear sequences 2.6 Non-linear sequences 2.7 More expanding and factorising 2.8 Problem solving Use the rules of indices to simplify algebraic expressions. Expand brackets. Factorise algebraic expressions. Solve equations involving brackets and numerical fractions. Use equations to solve problems. Substitute numbers into formulae. Rearrange formulae. Distinguish between expressions, equations, formulae and identities. Find a general formula for the nth term of an arithmetic sequence. Determine whether a particular number is a term of a given arithmetic sequence. Solve problems using geometric sequences. Work out terms in Fibonnaci-like sequences. Find the nth term of a quadratic sequence. Expand the product of two brackets. Use the difference of two squares. Factorise quadratics of the form x 2 + bx + c. Tasks Module 2 test: Check up Strengthen Extend Knowledge check Key Vocabulary SMSC RWCM 1. Financial Capability 2. Economic wellbeing 3. Government & Public Services Understanding Formula- Creating algebraic formulae, Public Spending, Temperature Problems Substitution- Mobile Phone or other Bills, Distance Speed & Time Problems, Science Formulae Sequences- Traffic lights, Time Problems

27 Algebraic Graphs- Interpretation and effects of change in input data Prior Learning CIAG Subject Specific

28 Birkdale High School Maths Department Key Stage 4 Scheme of Work Unit: 3 Interpreting & representing data Year Group: 9 Higher Aims of the Unit: Assessment Objectives covered Assessment Tasks 3.1 Statistical diagrams Time series 3.3 Scatter graphs 3.4 Line of best fit 3.5 Averages and Range 3.6 Statistical diagrams Problem solving Module 3 test: Check up Strengthen Extend Knowledge check Construct and use back-to-back stem and leaf diagrams. Construct and use frequency polygons and pie charts. Plot and interpret time series graphs. Use trends to predict what might happen in the future. Plot and interpret scatter graphs. Determine whether or not there is a linear relationship between two variables. Draw a line of best fit on a scatter graph. Use the line of best fit to predict values. Decide which average is best for a set of data. Estimate the mean and range from a grouped frequency table. Find the modal class and the group containing the median. Construct and use two-way tables. Choose appropriate diagrams to display data. Recognise misleading graphs. Key Vocabulary SMSC RWCM 1. Financial Capability 2. Economic wellbeing 3. Government & Public Services Understanding Statistics- Analysis, Sample Size and data format Graphs- Population patterns, Money Comparisons, Interpreting & Economic Issues Probability- Gambling Risks, Insurance policies Questionnaires- Completing Surveys and Formulating Conclusions Prior Learning CIAG Subject Specific

29

30 Birkdale High School Maths Department Key Stage 4 Scheme of Work Unit: 4 Fractions, ratio and Percentages Year Group: 9 Higher Aims of the Unit: Assessment Objectives covered Assessment Tasks 4.1 Fractions 4.2 Ratios 4.3 Ratio & proportion 4.4 Percentages 4.5 Fractions, decimals and percentages 4.6 Problem solving Module 4 test: Check up Strengthen Extend Knowledge check Add, subtract, multiply and divide fractions and mixed numbers. Find the reciprocal of an integer, decimal or fraction. Write ratios in the form 1 : n or n : 1. Compare ratios. Find quantities using ratios. Solve problems involving ratios. Convert between currencies and measures. Recognise and use direct proportion. Solve problems involving ratios and proportion. Work out percentage increases and decreases. Solve real-life problems involving percentages. Calculate using fractions, decimals and percentages. Convert a recurring decimal to a fraction. Key Vocabulary SMSC RWCM 1. Financial Capability 2. Economic wellbeing 3. Government & Public Services Understanding Four Operations- Money Problems, Benefits, Budgeting, Best buys, Exchange Rates & Temperature (negative numbers) Percentages- Bank Interest, Depreciation, Compound Interest, Risk & Reward Banking, Wages, Tax & VAT Problems Time- Bus timetables,12hr & 24hr Ratio & Proportion- Recipes, Population and Working/Man Hour problems Prior Learning CIAG Subject Specific

31

32 Birkdale High School Maths Department Key Stage 4 Scheme of Work Unit: 5 Angles and Trigonometry Year Group: 9 Higher Aims of the Unit: Assessment Objectives covered Assessment 5.1 Angle properties triangles & quadrilaterals 5.2 Interior angles of a polygon 5.3 Exterior angles of a polygon 5.4 Pythagoras theorem Pythagoras theorem Trigonometry Trigonometry Problem solving Derive and use the sum of angles in a triangle and in a quadrilateral. Derive and use the fact that the exterior angle of a triangle is equal to the sum of the two opposite interior angles. Calculate the sum of the interior angles of a polygon. Use the interior angles of polygons to solve problems. Know the sum of the exterior angles of a polygon. Use the angles of polygons to solve problems. Calculate the length of the hypotenuse in a right-angled triangle. Solve problems using Pythagoras theorem. Calculate the length of a shorter side in a right-angled triangle. Solve problems using Pythagoras theorem. Use trigonometric ratios to find lengths in a right-angled triangle. Use trigonometric ratios to solve problems. Use trigonometric ratios to calculate an angle in a right-angled triangle. Find angles of elevation and angles of depression. Use trigonometric ratios to solve problems. Know the exact values of the sine, cosine and tangent of some angles. Tasks Module 5 test: Check up Strengthen Extend Knowledge check Key Vocabulary SMSC RWCM 1. Financial Capability 2. Economic wellbeing 3. Government & Public Services Understanding Bearings- Direction & Mileage of the Local Area Imperial & Metric- Conversions and Understanding the difference Area & Volume- Decorating & Budgeting Angles- Sporting Problems

33 Prior Learning CIAG Subject Specific

34 Birkdale High School Maths Department Key Stage 4 Scheme of Work Unit: 6 Graphs Year Group: 9 Higher Aims of the Unit: Assessment Objectives covered Assessment Tasks 6.1 Linear graphs 6.2 More linear graphs 6.3 Graphing rates of change 6.4 Real-Life graphs 6.5 Quadratic graphs 6.6 Cubic and reciprocal graphs 6.7 More graphs 6.8 Problem solving Module 6 test: Check up Strengthen Extend Knowledge check Find the gradient and y-intercept from a linear equation. Rearrange an equation into the form y = mx + c. Compare two graphs from their equations. Plot graphs with equations ax + by = c. Sketch graphs using the gradient and intercepts. Find the equation of a line, given its gradient and one point on the line. Find the gradient of a line through two points. Draw and interpret distance time graphs. Calculate average speed from a distance time graph. Understand velocity time graphs. Find acceleration and distance from velocity time graphs. Draw and interpret real-life linear graphs. Recognise direct proportion. Draw and use a line of best fit. Find the coordinates of the midpoint of a line segment. Find the gradient and length of a line segment. Find the equations of lines parallel or perpendicular to a given line. Draw quadratic graphs. Solve quadratic equations using graphs. Identify the line of symmetry of a quadratic graph. Interpret quadratic graphs relating to real-life situations. Draw graphs of cubic functions. Solve cubic equations using graphs. Draw graphs of reciprocal functions. Recognise a graph from its shape. Interpret linear and non-linear real-life graphs. Draw the graph of a circle. Key Vocabulary SMSC RWCM 1. Financial Capability 2. Economic wellbeing

35 3. Government & Public Services Understanding Formula- Creating algebraic formulae, Public Spending, Temperature Problems Substitution- Mobile Phone or other Bills, Distance Speed & Time Problems, Science Formulae Sequences- Traffic lights, Time Problems Algebraic Graphs- Interpretation and effects of change in input data Prior Learning CIAG Subject Specific

36 Birkdale High School Maths Department Key Stage 4 Scheme of Work Unit: 7 Area ad Volume Year Group: 9 Higher Aims of the Unit: Assessment Objectives covered Assessment Tasks 7.1 Perimeter and area 7.2 Units and accuracy 7.3 Circes 7.4 Sectors of circles 7.5 Cylinders and spheres 7.6 Pyramids and cones 7.7 Problem solving Module7 test: Check up Strengthen Extend Knowledge check Find the perimeter and area of compound shapes. Recall and use the formula for the area of a trapezium. Convert between metric units of area. Calculate the maximum and minimum possible values of a measurement. Convert between metric units of volume. Calculate volumes and surface areas of prisms. Calculate the area and circumference of a circle. Calculate area and circumference in terms of Calculate the perimeter and area of semicircles and quarter circles. Calculate arc lengths, angles and areas of sectors of circles. Calculate volume and surface area of a cylinder and a sphere. Solve problems involving volumes and surface areas. Calculate volume and surface area of pyramids and cones. Solve problems involving pyramids and cones. Key Vocabulary SMSC RWCM 1. Financial Capability 2. Economic wellbeing 3. Government & Public Services Understanding Bearings- Direction & Mileage of the Local Area Imperial & Metric- Conversions and Understanding the difference Area & Volume- Decorating & Budgeting Angles- Sporting Problems Prior Learning CIAG Subject Specific

37

38 Birkdale High School Maths Department Key Stage 4 Scheme of Work Unit: 8 Transformations and constructions Year Group: 9 Higher Aims of the Unit: Assessment Objectives covered Assessment Tasks 8.1 3D solids 8.2 Reflection and rotation 8.3 Enlargement 8.4 Transformations and combinations of transformations 8.5 Bearings and scale drawings 8.6 Constructions Constructions Loci 8.9 Problem solving Module 8 test: Check up Strengthen Extend Knowledge check Draw plans and elevations of 3D solids. Reflect a 2D shape in a mirror line. Rotate a 2D shape about a centre of rotation. Describe reflections and rotations. Enlarge shapes by fractional and negative scale factors about a centre of enlargement. Translate a shape using a vector. Carry out and describe combinations of transformations. Draw and use scales on maps and scale drawings. Solve problems involving bearings. Construct triangles using a ruler and compasses. Construct the perpendicular bisector of a line. Construct the shortest distance from a point to a line using a ruler and compasses. Bisect an angle using a ruler and compasses. Construct angles using a ruler and compasses. Construct shapes made from triangles using a ruler and compasses. Draw a locus. Use loci to solve problems. Key Vocabulary SMSC RWCM 1. Financial Capability 2. Economic wellbeing 3. Government & Public Services Understanding Bearings- Direction & Mileage of the Local Area Imperial & Metric- Conversions and Understanding the difference Area & Volume- Decorating & Budgeting Angles- Sporting Problems Prior Learning CIAG Subject Specific

39

40