Subject Summary: Mathematics

Transcription

1 Subject Summary: Mathematics Years 7 to 10 The scheme of work a student follows is based on their ability rather than their year group. We refer to each scheme of work as a Stage. Each Stage is numbered, the higher the number the more challenging the work. Each September we decide the stage each class will follow for the year based on the grades achieved the previous summer. The table below shows the mix of stages typically taught. Year 7 Year 8 Year 9 Year 10 Set 1 Stage 7 Stage 8 Stage 9 Stage 10 Set 2 Stage 6 Stage 7 Stage 8 Stage 9 Set 3 Stage 5 Stage 6 Stage 7 Stage 8 Set 4 Stage 4 Stage 5 Stage 6 Stage 7 Set 5 Stage 4 Stage 4 Stage 5 Stage 6 Below is a summary of the topics in each Stage and broadly when we would expect to deliver them. Each stage is designed extend students knowledge and understanding while also reinforcing key topics learnt in earlier Stages. For more detail of what is in each Stage please look at the relevant Knowledge booklet. Year 11 In year 11 students sit a number of assessments in preparation for the GCSE s. Lessons are spent revising all relevant topics with a particular emphasis on topics that the assessments indicate need further work.

2 Stage 4 Autumn : Autumn : Spring : Spring : Summer : Summer : 0: basic skills 1: Numbers and the number system 2: Counting and comparing 3:Investigating properties of shapes 4: Addition and Subtraction 5:Multiplication and division 6: Time and money 7:Fractions, decimals and 8: Measuring space 9: Investigating angles 10: Calculating fractions 11: Calculating space 12: Checking, approximating and checking 13: Mathematical movement 14: Presentation of data Place value Writing numbers in figures and numbers Times tables Using a number line Ordering decimals Types of triangles Types of quadrilaterals Symmetry Column method for addition Column method for subtraction Times tables Multiplying by 10, 100 and 1000 Dividing by 10, 100 and 1000 Grid multiplication 12 and 24 hour clock Solve problems involving money Equivalent fractions Converting fractions to decimals Metric conversions Convert Solve problems involving different units Know types of angles Solve simple angle problems Convert decimals to fractions Add and subtract fractions Fraction of an amount Area and perimeter of 2D shapes Rounding to nearest 1, and 1000 Approximate calculations Read and plot coordinates Read and draw pictograms and bar charts

3 Stage 5 Autumn : Autumn : Spring : Spring : Summer : Summer : 0: basic skills 1: Numbers and number system 2: Counting and comparing 3: Addition and subtraction 4: Multiplication and division 5: Investigating properties of shapes 6: Visualising and constructing 7: Time 8: Fractions decimals and 9: Pattern sniffing 10: Measuring space 11: Investigating angles 12: Calculating fractions 13: Calculating space 14: Checking approximating and estimating 15: Mathematical movement 16: Presentation of data Prime numbers Square and cube numbers Place value Roman numerals Column method for addition and subtraction Short division (bus stop method) Properties of quadrilaterals 3D shapes Calculating periods of time Reading timetables Converting between and decimals Ordering decimals Continuing number patterns Describing number patterns Converting metric units of length and capacity Types of angles Angles at a point Angles on a straight line Improper fractions and mixed numbers Perimeter of compound shapes Area and perimeter of rectangles Rounding to nearest 1, 10 and 100 Rounding to 1, 2 or 3 decimal places Column vectors Bar charts Line graphs

4 Stage 6 Autumn : Autumn : Spring : Spring : Summer : Summer : 0: basic skills 1: Numbers and number system 2: Calculating 3: Division 4: Visualising and constructing 5: Investigating properties of shapes 6: Algebra using formulae 7: Fractions, decimals and 8: Proportional reasoning 9: Pattern sniffing 10: Measuring space 11: Investigating angles 12: Calculating fractions 13: Solving equations and inequalities 14: Calculating space 15: Checking approximating and estimating 16: Mathematical movement 17: Presentation of data 18: Measuring data Negative numbers Highest common factor BODMAS Column method for multiplication Short division (bus stop method) 3D shapes Types of triangles Types of quadrilaterals Using formulae Simplifying fractions Converting fractions to decimals Value for money Enlargements Continuing number sequences Metric units Imperial units Vertically opposite angles Angles at a point Adding and subtracting mixed numbers Adding subtracting multiplying and dividing fractions Algebraic notation Area of squares, rectangles, parallelograms and triangles Rounding to nearest 1, 10, 100 Rounding to 1, 2 or 3 decimal places Plotting and reading coordinates Column vectors Pie charts Calculating the mean

5 Stage 7 Autumn : Autumn : Spring : Spring : Summer : Summer : 0: basic skills 1: Numbers and number system 2: Counting and comparing 3: Calculating 4: Visualising and constructing 5: Investigating properties of shapes 6: Algebraic proficiency 7: Fractions decimals and 8: Proportional reasoning 9: Pattern sniffing 10: Measuring space 11: Investigating angles 12: Calculating fractions 13: Solving equations and inequalities 14: Calculating space 15: Checking approximating and estimating 16: Mathematical movement 17: Presentation of data 18: Measuring data Factors multiples and primes Factor trees Ordering negative numbers Ordering fractions Multiplying with decimals BODMAS Angle notation Angle facts Properties of 2D shapes Properties of 3D shapes Simplifying expressions Simplifying fractions Converting fractions to Splitting an amount in a ratio Term to rule Position to rule Nth Converting metric units of length, capacity and mass Solving angle problems Percentage increase and decrease Solving linear equations Area of a trapezium Volume of a cuboid Significant figures Estimating calculations Translations Reflections Comparative bar charts Types of data Mean mode and median

6 Stage 8 Autumn : Autumn : Spring : Spring : Summer : Summer : 0: basic skills 1: Numbers and number system 2: Calculating 3: Visualising and constructing 4: Understanding risk 1 5: Algebraic proficiency 6: Fractions decimals and 7: Proportional reasoning 8: Pattern sniffing 9: Investigating angles 10: Calculating fractions 11: Solving equations and inequalities 12: Calculating space 13: Algebraic proficiency - visualising 14: Understanding risk 2 15: Presentation of data 16: Measuring data Factors, multiples and primes Standard form Ordering fractions Mixed numbers Plan and elevation drawing Nets Probability trees Relative frequency Collecting like s Expanding brackets Factorising Converting between fractions Dividing in a ratio Speed distance and time Mass density and volume Finding nth of a linear sequence Explain whether a is in a sequence Angle facts Angles in regular polygons Adding, subtracting, multiplying and dividing fractions Compound interest Solving linear equations Simple inequalities Area and circumference of a circle Area of compound shapes Plotting straight line graphs Venn diagrams Frequency trees Scatter graphs Histograms Mean mode and median

7 Stage 9 Autumn : Autumn : Spring : Spring : Summer : Summer : 1: Calculating 2: Visualising and constructing 3: Algebraic proficiency 4: Proportional reasoning 5: Pattern sniffing 6: Solving equations and inequalities 1 7: Calculating space 8: Conjecturing 9: Algebraic proficiency visualising 10: Solving equations and inequalities 2 11: Understanding risk 12: Presentation of data Standard form Upper and lower bounds Bisectors Plan and elevation drawings Expanding brackets Factorising Direct variation Similar shapes Speed distance and time Nth of linear and quadratic sequences Inequalities on a number line Solving inequalities Arc length Area of a sector Pythagoras Algebraic proofs Geometric proofs Drawing straight line graphs Equation of a line y=mx+c Simultaneous equations Probability trees Relative frequency Scatter graphs Time series

8 Stage 10 Autumn : Autumn : Spring : Spring : Summer : Summer : 1: Properties of shapes 2: Calculating 3: Solving equations 4: Transformations 5: Algebraic fractions 6: Direct and inverse proportion 7: Sequences 8: Inequalities 9: Spheres cones and pyramids 10: Circle theorems 11: Graphs gradients and area under a curve 12: Fractions decimals and 13: Quadratic equations 14: Probability 15: Cumulative frequency and box plots 16: Circles and tangents 17: Vectors Similar shapes Trigonometry Laws of indices Surds Upper and lower bounds Iteration Simultaneous equations Reflections, rotations, translations and enlargements All operations with algebraic fractions Direct variation Inverse variation Quadratic sequences Geometric progressions Fibonacci series Regions on a graph representing inequalities Volume and surface area of cones, spheres and pyramids Circle theorems Sketching common types of graphs Gradient of a curve Equation of parallel and perpendicular lines Compound interest Depreciation Completing the square Quadratic formula Probability trees Venn diagrams Cumulative frequency Boxplots Equation of a circle Column vectors Algebraic vectors