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 midpoint 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 noncalculator and one calculator  2 exam papers covering the whole years work, one noncalculator and one calculator  2 exam papers covering the whole years work, one noncalculator 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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