Ingleby Manor Scheme of Work : Year 7. Objectives Support L3/4 Core L4/5/6 Extension L6/7

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1 Autumn 1 Mathematics Objectives Support L3/4 Core L4/5/6 Extension L6/7 Week 1: Algebra 1 (6 hours) Sequences and functions - Recognize and extend number sequences - Identify the term to term rule - Know squares to at least 10x10 - Generate and describe sequences - Generate and describe sequences using patterns - Find the nth term of increasing sequences - Generate terms of a sequence with nth term including powers - Find the nth term of a decreasing sequence Week 2: Algebra 1 Formulae and identities Solving problems - Express simple functions in words, then use symbols to represent them - Use letter symbols to represent unknowns - Be able to write a formula for a problem and use it to calculate values Number 1 (6 hours) Place value Integers directed numbers - Read and write whole numbers in figures and words - Use decimal notation for tenths and hundredths, know what the each digit represents in numbers upto 2 decimal places - Calculate a temperature rise and fall across 0 degrees celsius - Multiply and divide integers and decimals by powers of ten - Compare and order decimals in different contexts, aware of different units of measure - Understand negative numbers as positions on a number line - Add, subtract, multiply and divide with negative numbers - Add, subtract, multiply and divide integers - Recall known facts, including fraction to decimal conversions - Multiply decimals and whole numbers Week 3: Number 1 Written methods (including decimals) Calculations including estimations Calculator methods and solving problems - Use methods to add and subtract numbers, including numbers with decimals - Develop calculator skills and use a calculator effectively - Make and justify estimates and approximations of calculations. - Use standard column methods to add and subtract numbers with decimal places - Be able to use a calculator effectively - Be able to estimate an answer and explain if an over estimate or underestimate - Solve word problems and investigate in a range of contexts

2 Week 4: Shape, space and measures 1 (4 hours) Mensuration: Converting measures Area and perimeter (surface area) Solving problems - Identify nets of cubes - Measure and draw lines to nearest millimeter - Record estimates and readings from scales to a suitable degree of accuracy - Understand that area is measured in square centmeteres - Understand, measure and calculate perimeters of rectangles and regular polygons - Draw nets of 3D shapes - Use units of measure to calculate and solve problems in everyday contexts involving length and area - Know and use the area of a rectangle, calculate the perimeter and area of shapes made from rectangles - Calculate surface are of cubes and cuboids - Solve word problems and investigate in a range of contexts; length, perimeter and area - Make simple scale drawings - Deduce and use formula for the area of a triangle, parallelogram and trapezium - Know and use the formula for the volume of a cuboid Week 4 Assessment: Set of GCSE style questions on all of the topics from week 1 to 4, non calculator Week 5: Number 2 (6 hours) Fractions, decimals, Percentages: equivalence and changing Simplify and equivalent fractions (Mixed numbers) Fractiopns 4 operations - Find simple equivalent fractions - Simplify fractions - Change and improper fraction to a mixed number - Use decimal notation for tenths and hundredths - Write decimals as percentages and vice versa - Simplify fractions and find equivalent fractions - Convert terminating decimals into fractions - Add and subtract fractions - Multiply and divide fractions - Convert between equivalent fractions, decimals and percentages - Convert between improper fractions and mixed numers - Use written methods to change fraction into decimals - Change fractions into recurring decimals using division - Change simple recurring decimals into fractions - Calculate fractions of quantities and measurements - Multiply and divide an integer by a fraction Week 6: Number 2 Finding percentages Calculations and solving problems using fractions, decimals and percentages - Find 10% of an amount, use this to find other percentages e.g. 5% or 20% - - Change a percentage into a multiplier - Use multipliers to find a percentage of an amount - Find percentages of amounts without a calculator - Solve worded problems using percentages - Use multipliers to find a percentage increase or decrease - Solve harder worded problems using percentage increase and decrease SMSC Links: see attached documents for SMSC, SEAL and PLTS

3 Autumn 2 Mathematics Objectives Support L3/4 Core L4/5/6 Extension L6/7 Week 1: Handling data 1 (6 hours) Statistics on sets of discrete data Diagrams and graphs - Solve a problem by representing, extracting and interpreting data in tables, graphs, charts and diagrams - Find the mode, median and range of a set of data - Find the mode, median range and mean of a set of data - Calculate the mean from a simple frequency table - Interpret diagrams and graphs, including pie charts - Construct and interpret pie charts - Find the mean and median from a frequency table Week 2: Handling data 1 Probability Theory and experimental - Use the language of probability - Be able to place events on a probability line - Use vocabulary and ideas of probability - Understand and use the probability scale from 0 to 1 - Find the probability of an event happening, giving answer as fraction, decimal or percentage - Identify all the possible mutually exclusive outcomes of a single event - Collect data from an experiment and use it to estimate probabilities - Know that the probability of an event occurring is p, then the probability of an event not occurring is 1 p - Find and record all possible mutually exclusive outcomes for two successive events in a systematic way, using diagrams and tables - Use probabilities to calculate estimate of the number of times an event occurs - Understand and use relative frequency Week 3: Algebra 2 (5 hours) Formula and substitution Simplifying expressions Expanding and Factorising - Start to use letters to represent unknowns - To substitute into simple expressions - To be able to collect like terms in simple expressions - Use letter symbols to represent unknowns and create a formula - Use formulas by substituting values into them - Simplify algebraic expressions by collecting like terms - Multiply a single term over a bracket - Know the meanings of algebraic words; formula, expression, equation, identity, function - Substitute into formula with powers - Be able to simplify expressions involving brackets and powers - Be able to factorise expressions

4 Week 4: Algebra 2 Expanding and factorizing Shape, space and measures 2 (3 hours) Angle facts Parallel lines - Know sum of angles on a straight line and in a triangle - Know the types of angles - Factorise simple expressions - Identify parallel and perpendicular lines; know the sum of angles at a point, on a straight line and in a triangle and recognize vertically opposite angles. Know angles in parallel lines - Expand double brackets - Find and justify angles in parallel lines, solve harder angle problems using algebra Week 4 Assessment: Set of GCSE style questions on all of the topics from week 1 to 4, calculator allowed Week 5: Shape, space and measures 2 Coordinates in four quadrants Drawing and measuring angles Handling data 2 Start Handling data group project Questionairres and data collection - Read and plot coordinates in the first quadrant - Be able to draw and measure angles - Working in groups devise simple handling data project, organise method of data collection and carry out - Plot coordinates in all four quadrants - Find coordinates of points determined by geometric information - Distinguish and estimate the size of acute, obtuse and reflex angles - In groups devise and carry out handling data project - Know how to devise a questionnaire - Be able to critique a questionnaire with justifications - Devise handling data project to be carried out and make predictions, devise method of collecting data then carry out collection Week 6: End of term assessments - Two test papers, one non calculator and one calculator - Two test papers, one non calculator and one calculator - Two test papers, one non calculator and one calculator End of Term Assessment: 2 exam papers, Non Calculator and Calculator created with GCSE style questions covering all of Autumn topics. SMSC Links: see attached documents for SMSC, SEAL and PLTS

5 Spring 1 Mathematics Objectives Support L3/4 Core L4/5/6 Extension L6/7 Week 1: Handling data 2 Handling data project Statistics and group presentation - Apply simple statistics to project data - Represent data in bar charts and line graphs - To present project and conclusions to the class - Collect, organize and present data using appropriate methods - Apply statistics to data reaching conclusions - Where appropriate use averages, frequency tables, graphs and charts including pie charts - Draw conclusions from statistics and present project and discoveries to the class - Plan collection of data accounting for sample size and how to collect sample - Know difference between discrete and continuous data - Collect and group continuous data Week 2: Number and measures 3(8 hours) BIDMAS Rounding Estimation Multiply and divide with decimals - Understand and use BIDMAS - Round up to nearest 10, Start to round up to nearest whole number - Do calculations with money - Use all four operations to solve word problems - Understand and use BIDMAS - Round positive numbers up to any given power of ten - Round up to nearest whole number and one decimal place - Round up numbers to perform simple estimations - Multiply simple decimals - Round up numbers to any given number of decimal places - Round up numbers to one significant figure - Estimate calculations after rounding to one significant figure - Multiply and divide decimals, including decimals less than one Week 3: Number and measures 3 Long multiplication / division Using calculators Powers and roots Converting metric units - Use written methods for division and long multiplication - Know multiplication facts up to 10x10 - Partition to multiply mentally - Develop calculator skills an use a calculator effectively - Introduce square numbers - Use, read and write standard metric units of length, mass and capacity - Use written methods for division and long multiplication, extend to multiply and divide numbers with decimals - Use a calculator effectively with brackets, memory, square root sign etc. - Know square of numbers up to 15 and their square roots. - Convert one metric unit to another and solve problems - Be able to square any number and understand the square of an unknown - Find the square root of any value - Know the cube of numbers up to 5 and including ten, and their cube roots - Convert between metric and imperial measurements

6 Week 4: Algebra 3 (6 hours) Prime factor decomposition HCF/LCM Generate sequences Functions and mappings Line graphs - Recognise multiples up to 10x10 - Identify factors of 2 digit numbers - Find HCF and LCM of 2 simple numbers - Recognise and generate sequences - Plot coordinates in first quadrant to make a line graph - Recognise and use multiples, factors, common factors and primes(less than 100) - Find prime factor decomposition of a number - Generate sequences given a rule - Express simple functions in words, then using symbols; represent them in mappings - Find the prime factor decomposition of a 2 numbers and use this to find the HCF and LCM - Use squares and positive and negative roots - Use linear expressions to describe the nth term of a sequence - Find the nth term of a simple quadratic sequence Week 4 Assessment: Set of GCSE style questions on all of the topics from week 1 to 4, non calculator Week 5: Algebra 3 Line graphs Solving problems using algebra Group tasks - Solve mathematical problems, explaining patterns and relationships - Group task to consolidate learning and understanding of simple algebra - Generate coordinate pairs that satisfy a simple linear rule; plot the graphs of simple linear functions - Solve word problems and investigate in a range of contexts number and algebra - Group task to consolidate algebra - Use linear equations to generate sets of coordinates in all four quadrants; plot the graphs of linear functions - Plot the graphs of linear functions with negative gradients by finding coordinate pairs Week 6: Shape, space and measures 3 (6 hours) Reflection and rotational symmetry Geometrical problems with triangles and quadrilaterals Construction - Recognise reflection symmetry - Recognise where a shape will be after reflection - Use and understand rotational symmetry - Calculate angles on a straight line and in triangles - Use a protractor to measure and draw acute and obtuse angles - Be able to find the order of rotational symmetry - Be able to reflect a shape in the four quadrants given the line of reflection - Begin to identify and use angle, side and symmetry properties of triangles and quadrilateral; solve geometrical problems involving these properties - Be able to identify the equation of the line of reflection in a given transformation - Solve geometrical problems using side and angle properties of equilateral, isosceles and right angled triangles and special quadrilaterals, introducing the use of algebra to solve problems SMSC Links: see attached documents for SMSC, SEAL and PLTS

7 Spring 2 Mathematics Objectives Support L3/4 Core L4/5/6 Extension L6/7 Week 1: Shape, space and measures 3 Construction and Loci Number 4 (5 hours) Fraction, decimal and percentage equivalence, percentages and proportion Ratio and proportion - Construct a simple triangle using ruler and protractor - Relate fractions to division and finding decimals - Find simple percentages of amounts using decimals - Find simple fractions of whole number quantities - Use ruler and protractor and compasses to construct triangles with ASA, SSA and SSS - Recognise equivalence of percentages, fractions and decimals; calculate percentages and use them to compare simple proportions - Simplify ratio - Use ruler and compasses to construct perpendicular and angle bisectors - To find the loci of points in simple problems - Express one number as a percentage of another; use the equivalence of fractions, decimals and percentages to compare proportions - Simplify ratio to the unitary ratio Week 2: Number 4 Ratio and proportion Algebra 4 (4 hours) Construct and solve linear equations - Solve simple problems using ideas of ratio and proportion - Solve simple one step equations - Divide a quantity into a given ratio - Solve simple problems about ratio and proportion - Simplify expressions by collecting like terms - Construct and solve simple equations, unknown on one side - Use the unitary method to solve word problems involving ratio and direct proportion - Solve equations with unknown on one side, including equations with one set of brackets Week 3: Shape, space and measures 4 (6 hours) Transformations - Reflect shapes - Recognize where a shape will be after a translation - Be able to do simple enlargements given a scale factor but no center - Understand and use the language and notation with reflections, translations and rotations - Carry out transformations with reflection, translation and rotation - Transform 2D shapes by simple combinations of rotations, reflections and translations in the four quadrants

8 Week 4: Shape, space and measures 4 Transformations - Carry out simple enlargements with positive scale factors - Carry out enlargements in the four quadrants, using positive scale factor and center of enlargement Handling data 3 (8 hours) Collecting data and calculating statistics on groups of data Grouped data, finding averages and frequency tables - Find the mode, median and range of a set of data - Calculate the mean of a set of data - Solve a problem by representing, extracting and interpreting data in tables, graphs and charts - Find the mode, mean and median from data in a frequency table - Estimate the mean from grouped data in a frequency table - Construct a frequency polygon - Estimate the mean and median from grouped data - Find the modal class of grouped data Week 4 Assessment: Set of GCSE style questions on all of the topics from week 1 to 4, calculator allowed Week 5: Handling data 3 Graphs and charts - Construct simple pie charts - Interpret information from pie charts - Use simple real life graphs and tables - Construct a stem and leaf diagram - Interpret and construct pie charts - Plot data on a scatter graph and describe trends - Find the median from a stem and leaf diagram - Draw and use a line of best fit on a scatter graph - Describe and understand correlation on scatter graphs Week 6: End of term assessments - Two test papers, one non calculator and one calculator - Two test papers, one non calculator and one calculator - Two test papers, one non calculator and one calculator End of Term Assessment: 2 exam papers, Non Calculator and Calculator created with GCSE style questions covering all of Autumn and Spring topics. SMSC Links: see attached documents for SMSC, SEAL and PLTS

9 Summer 1 Mathematics Objectives Support L3/4 Core L4/5/6 Extension L6/7 Week 1: Handling data 3 Probability mutually exclusive Relative frequency Class experiment and probability - Calculate simple probabilities - Collect data from a simple experiment and estimate probabilities from this - Identify all possible mutually exclusive outcomes of a single event - List outcomes for two successive events and find probabilities - Understand the difference of theoretical and experimental probabilities - Class experiment to show effect of experimental probability with number of events - Construct and use two way tables - Understand and calculate the relative frequency of an event - Know the effect on relative frequency with the number of events - Calculate relative frequencies from class experiment Week 2: Number 5 (8 hours) Word problems using all operations, fractions decimals and percentages Written methods for all operations including decimals - Simplify fractions and find equivalent fractions - Add and subtract fractions - Solve word problems using simple fractions and percentages - Solve word problems using all operations with fractions, decimals and percentages - Multiply and divide numbers with decimals greater than and less than one - Solve calculations with the same digits, but different place values by understanding the effect of place value and powers of ten Week 3: Number 5 Fractions of quantities Multiply and divide fraction by integers Mixed numbers Indices (rules of) - Find simple fractions of whole quantities - Multiply a fraction by a whole number - Use long multiplication methods - Add and subtract with written methods and numbers including decimals - Calculate fractions of quantities - Multiply and divide an integer by a fraction - Convert mixed numbers to improper fractions and vice versa - Add and subtract fractions with mixed numbers - Understand and use index form - Calculate fractions of quantities and measurements, fraction answers - Add, subtract, multiply and divide mixed numbers - Know the first three rules of indices

10 Week 4: Algebra 5 (8 hours) Construct and solve linear equations Use formula, substitution into harder formulae including powers Rearranging formula - Construct and solve two step equations - Substitute values into a simple formula - Be able to write simple formula by using letters to represent variables - Solve linear equations with unknown on one side, including with brackets - Start to solve equations with unknown on both sides - Substitute positive integers into expressions and formula, including formula with powers - Start to rearrange simple formula - Solve linear equations with unknown on both sides - Solve linear equations with brackets on both sides - Substitute positive and negative integers into expressions and formulae - Rearrange formula to change the subject Week 4 Assessment: Set of GCSE style questions on all of the topics from week 1 to 4, non calculator Week 5: Algebra 5 y = mx + c real life graphs - Read and plot coordinates in all four quadrants - Find sets of coordinates from simple linear equations and plot the graph - Plot the graphs of linear equations - Recognise that equations of the form y=mx+c correspond to straight line graphs - Know the gradient and y intercept and their effect - Plot and interpret real life graphs - Know the equation of a straight line graph is of the form y=mx+c - Find the gradient and y intercept of a straight line graph - Plot a straight line graph without needing to find coordinates - Find the equation of a straight line Number Compound measures - Start to solve simple problems using distance, speed and time - Use Distance, speed, time triangle - Use mass, density, volume triangle - Use population density, population and area triangle Week 6: Shape, space and measures 5 (6 hours) Construction Nets and area Plans and elevations Classifying quadrilaterals - Construct triangles using protractor and rulers - Be able to draw the net of a cube to scale and start to find surface area from this - Sketch nets of 3D shapes - Know geometrical properties of quadrilaterals - Construct equilateral triangles using compasses - Construct perpendicular bisector and angle bisector - Draw the nets of 3D shapes - Find surface area of cubes and cuboids - Construct 60 degree and 30 degree angles using compasses - Construct mid-point and perpendicular bisector of a line - Find surface are of 3D prisms with quadrilateral cross sections - Draw the plans and elevations of a 3D shape SMSC Links: see attached documents for SMSC, SEAL and PLTS

11 Summer 2 Mathematics Objectives Support L3/4 Core L4/5/6 Extension L6/7 Week 1: Number Ordering fractions, decimals and percentages Recurring and terminating decimals Percentages - Convert fraction to decimal to percentage and vice versa - To use multipliers to calculate percentages of amounts - Solve simple word problems using percentages - To use negative numbers and the four operations - Know that a recurring decimal is a fraction; use division to convert a fraction to decimal - Order fractions by writing them with a common denominator or converting them to decimals - Use multipliers to find a percentage increase or decrease - Solve word problems involving percentages - Write a recurring decimal as a fraction - Solve problems involving percentage change - Calculate original values using reverse percentages - Calculate simple interest - Solve a mixture of word problems involving all percentage types Week 2: Algebra Collecting like terms Expanding, factorising up to quadratics Solving equations - Simplify expressions by collecting like terms - Multiply a single term over a bracket - Solve equations unknown on one side - Find common factors in expressions - Simplify harder expressions by collecting like terms, including using powers - Expand and simplify linear expressions with more than one set of brackets - Factorise harder expressions - Solve equations with unknowns on both sides, including brackets on both sides - Expand two sets of brackets to get a quadratic expression - Start to factorise simple quadratics - Solve harder equations - Week 3: Shape, space and measures Area and circumference of circles Including investigations - Find and use the formula for the area of a triangle and a parallelogram - Investigation to discover pi - Calculate circumference of circles - Calculate the area of circles - Solve word problems involving circles using the formula for circumference and area - Calculate the radius and diameter of circles given the area or circumference - Find the area and circumference of part circles

12 Week 4: Shape, space and measures Volume Surface area Convert between area measures - Find the volume of cubes and cuboids - Calculate the surface area of cuboids - Convert between metric measures - Calculate the volume of any given cuboid - To calculate the volume of simple prisms - Find the surface area of simple prisms - Calculate the volume of prisms including cylinders - Find the surface are of cylinders - Convert between area measures, mm squared to cm squared, cm squared to m squared, and to convert between volume measures, mm cubed to cm cubed Week 4 Assessment: Set of GCSE style questions on all of the topics from week 1 to 4, calculator allowed Week 5: consolidation and extension week - At teachers discretion work to be consolidated or extended - At teachers discretion work to be consolidated or extended - At teachers discretion work to be consolidated or extended Week 6: End of term assessments - 2 exam papers covering the whole years work, one non-calculator and one calculator - 2 exam papers covering the whole years work, one non-calculator and one calculator - 2 exam papers covering the whole years work, one non-calculator and one calculator End of Year Assessment: 2 exam papers, Non Calculator and Calculator created with GCSE style questions covering all of Autumn, Spring and Summer topics. SMSC Links: see attached documents for SMSC, SEAL and PLTS

13 SMSC overview Document- Mathematics Social - To do with people Moral - Values I can communicate effectively with others, listening to what others have to say in a mathematical context. I can receive feedback and use it to improve my mathematics or modify my mathematical argument. I can monitor the effectiveness of different problem solving strategies and use my experiences to help me to choose my behaviour and make decisions. I can present work in different ways to different groups of people. I understand which graph / chart is best to use in each situation. I can use a range of strategies to solve problems and know how to resolve conflicts with other people such as mediation and conflict resolution when explaining a mathematical solution. I can use accurate notation including the correct syntax when using ICT. I use the best mathematical language when I record my work. I set the work out logically Spiritual I can identify barriers to a problem and identify how to overcome these to solve the problem. I can express my emotions clearly and view errors I have made in my work as part of the normal learning curve and as a way of identifying how to improve. I understand the Importance that Mathematics plays in the real world. I can work towards goals showing initiative commitment and perseverance. Cultural I understand that mathematics is the language that the natural world speaks I understand the beauty of mathematics and how this relates to the wonder of the world I am able to apply mathematics in a creative context such as Escher patterns and transformations I can reflect on the comments made or my results achieved in an exam to help me identify areas for improvement. I can see the world from other peoples point of view, can feel the same emotion as they are feeling and take account of their intentions, preferences and beliefs. I can show respect for people from diverse cultures and background, and for people with diverse interests and attainments, attitudes and values, and I am interested in, enjoy and celebrate differences

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