3.3 Perimeter and area of rectangles 3.2 Perimeter and area of rectangles To work out the perimeter of a rectangle To work out the area of a rectangle To use a simple formula to calculate the area and perimeter of a rectangle 3.3 Perimeter and area of compound shapes To work out the perimeter and area of compound shapes 3.4 Volume of cubes and cuboids To work out the volume of a cube or cuboid using a simple formula To work out the capacity of a cube or cuboid Week 7 3 Extended project opportunity / revision Week 7 1 Assessment Week 8 Half-term Holiday Week 9 – 10 7 1.1:4: Decimal numbers 1.2:4: Decimal numbers 4.1 Multiplying and dividing by 10, 100 and 1000 To multiply and divide decimal numbers by10, 100 and 1000 4.2 Ordering decimals To order decimal numbers according to size 4.3 Estimates To estimate calculations in order to spot possible errors 4.4 Adding and subtracting decimals To add and subtract decimal numbers 4.5 Multiplying and dividing decimals To be able to multiply and divide decimal numbers by any whole number
Week 23 1 Assessment Week 24 Half-term Holiday Week 25 – 26 7 1.1:10: Coordinates and graphs 1.2:10: Coordinates and graphs 10.1 Coordinates To understand and use coordinates to locate points. 10.2 From mappings to graphs To work out coordinates from a rule To draw a graph for a simple rule 10.3 Naming graphs To recognise and draw line graphs of fixed values 10.2 Graphs from relationships To draw a graph for a simple relationship 10.3 Graphs for fixed values of x and y To recognise and draw line graphs with fixed values of x and y 10.4 Graphs of the form y = ax To recognise and draw lines of the form y = ax 10.5 Graphs of the form x + y = a To recognise and draw graphs of the form x + y = a 10.4 Graphs from the real world To how graphs can be used to represent real-life situations To draw and use real-life graphs Week 27 – 28 7 1.1:11: Percentages 1.2:11: Percentages 11.1 Fractions and percentages To understand what a percentage is To understand the equivalence between some simple fractions and percentages 11.2 Fractions of a quantity To find a fraction of a quantity 11.3 Percentages of a quantity To find a percentage of a quantity
11.4 Percentages with a calculator To write a percentage as a decimal To use a calculator to find a percentage of a quantity 11.5 Percentage increases and decreases To work out the result of a simple percentage change Week 29 – 30 5 1.1:12: Probability 1.2:12: Probability 12.1 Probability words To and use words about probability 12.2 Probability scales To know and use the 0–1 probability scale To work out probabilities based on equally likely outcomes 12.3 Experimental probability To learn about and understand experimental probability To understand the difference between theoretical and experimental probability Week 30 2 Assessment and review Week 31 Easter Holiday Week 32 Easter Holiday Term 3 Week 33 – 34 7 1.1:13: Symmetry 1.2:13: Symmetry 13.1 Line symmetry To recognise shapes that have reflective symmetry To draw lines of symmetry on a shape 13.2 Rotational symmetry To recognise shapes that have rotational symmetry To find the order of rotational symmetry for a shape
13.3 Reflections To understand how to reflect a shape To use a coordinate grid to reflect shapes 13.4 Tessellations To understand how to tessellate shapes Week 35 – 36 5 1.1:14: Equations 1.2:14: Equations 14.1 Finding unknown numbers To find missing numbers in simple calculations 14.2 Solving equations To understand what an equation is To solve equations involving one operation 14.3 Solving more complex equations To equations involving two operations 14.4 Setting up and solving equations To use algebra to set up and solve equations Week 36 – 37 5 1.1:15 Interpreting data 1.2:15 interpreting data 15.1 Pie charts To read data from pie charts, the data is given in simple sectors To use a scaling method to draw a pie 15.2 Comparing data by median and the range To use the median and to compare data To make sensible decisions by comparing the median and range of two sets of data 15.2 Comparing mean and To use the mean and range to compare data To make sensible decisions by comparing the mean and range of two sets of data 15.3 Statistical surveys To use charts and diagrams to interpret data.
SUMMER HOLIDAY (Y7→Y8) YEAR 8 Term 1 Week 1 – 2 7 2.1:1: Working with numbers 2.2:1: Working with numbers 1.1 Adding and subtracting with negative numbers To carry out additions and subtractions involving negative numbers 1.2 Multiplying and dividing negative numbers To carry out multiplications and divisions involving negative numbers 1.3 Factors and highest common factors (HCF) To understand and use highest common factors 1.4 Multiples and lowest common multiple (LCM) To understand and use lowest common multiples 1.5 Squares, and roots To understand and use squares and square roots To understand and use and cube roots 1.4 Powers and To understand and use powers and roots 1.6 Prime factors To know what prime numbers are To identify the prime factors of a number Week 3 – 4 7 2.1:2: Geometry 2.2:2: Geometry 2.1 Parallel and perpendicular lines To identify parallel To identify perpendicular lines 2.1 Angles in parallel To calculate angles in parallel lines 2.2 Angles in triangles and quadrilaterals To know that the sum of the angles in a triangle is 180° To know that the sum of the angles in a quadrilateral is 360° 2.2 The geometric properties of quadrilaterals To know the geometric properties of quadrilaterals 2.3 Translations To know how to translate a point or shape
2.2:9: Interpreting data 9.3 Creating pie charts To use a scaling method to draw pie charts 9.3 Scatter graphs and correlation To read scatter graphs To understand correlations 9.4 Creating scatter graphs To create scatter graphs Week 23 1 Assessment Week 24 Half-term Holiday Week 25 – 27 10 2.1:10: Algebra 2.2:10: Algebra 10.1 Algebraic notation To simplify algebraic expressions involving the four basic operations 10.2 Like To simplify algebraic expression by combining like 10.3 Expanding brackets To remove brackets from an expression 10.4 Using algebra 10.4 algebraic expressions To use algebraic expressions in different contexts To manipulate algebraic expressions To identify equivalent expressions 10.5 powers 10.5 Using index notation To write algebraic expressions involving powers Week 28 – 29 7 2.1:11: Congruence and scaling 2.2:11: Congruence and scaling 11.1 Congruent shapes To recognise congruent shapes 11.2 Shape and ratio To use ratio to compare lengths and areas of 2D shapes 11.2 Enlargements To enlarge a 2D shape by a scale factor
11.3 Scale diagrams 11.4 Scales To understand and use scale diagrams To know how to use map ratios Week 30 3 Revision Week 30 1 Assessment and review Week 31 Easter Holiday Week 32 Easter Holiday Term 3 Week 33 – 35 9 2.1:12: Fractions and decimals 2.2:12: Fractions and decimals 12.1 Adding and subtracting fractions To add and subtract fractions and mixed numbers 12.2 Multiplying fractions and integers To multiply by a fraction or a mixed number by an integer 12.3 Dividing with integers and fractions To divide a unit fraction by an integer To divide an integer by a unit fraction 12.4 Multiplication with powers of ten 12.4 Multiplication with and small numbers To multiply by a power of ten To multiply with combinations of and small numbers mentally 12.5 Division with powers of ten 12.5 Division with large and small numbers To mentally divide by a power of ten To divide combinations of large and small numbers mentally Week 35 – 36 4 2.1:13: Proportion 2.2:13: Proportion 13.1 Direct proportion To understand the meaning of direct proportion To find missing values in problems involving proportion 13.2 Graphs and direct proportion To represent direct proportion graphically and algebraically
13.3 Inverse proportion To understand what is meant by inverse proportion To solve problems using inverse proportion 13.4 Comparing direct proportion and inverse proportion To recognise direct and inverse proportion and work out missing values Week 37 4 2.1:14: Circles 2.2:14: Circles 14.1 The circle and its parts To know the definition of a circle and the of its parts 14.2 Circumference of a circle To work out the relationship between the circumference and the diameter of a circle 14.3 A formula to work out the approximate circumference of a circle 14.3 Formula for the circumference of a circle To use a formula to calculate the circumference of a circle 14.4 Formula for the area of a circle To use a formula to calculate the area of a circle Week 37 1 Assessment Week 38 Half-term Holiday Week 39 – 40 7 2.1:15: Equations and formulae 2.2:15: Equations and formulae 15.1 Equations To solve simple equations 15.2 Equations with brackets To solve equations that include brackets 15.2 Equations with the variable on both sides To equations with the variable on both sides 15.3 More complex equations To equations involving two operations 15.4 Substituting into formulae To substitute values into a variety of formulae
15.4 Rearranging formulae To change the subject of a formula Week 41 – 42 7 2.1: 16: Comparing data 2.2:16: Comparing data 16.1 Frequency tables To create a frequency from raw data 16.2 The mean To understand and use the mean average of data 16.1 Grouped frequency tables To create a grouped frequency table from raw data 16.3 Drawing frequency diagrams To be able to draw a diagram from a frequency table 16.4 Comparing data To use the mean and range to compare data from two sources 16.5 Which average to use? To understand when each different type of average is most useful Week 43 – 44 7 Extended project opportunity / revision Week 45 4 Assessment, revision and review SUMMER HOLIDAY (Y8→Y9) YEAR 9 Term 1 Week 1 – 2 7 3.1:1: Percentages 3.2:1: Percentages 1.1 Simple interest To understand what simple interest is To solve problems involving simple interest 1.2 Percentage increases and decreases To calculate the result of a percentage increase or decrease To choose the most appropriate method to calculate percentage change 1.3 Calculating the original Given the result of a percentage change, to calculate the original value
4.2 Time-series graphs To use and interpret a variety of time-series graphs 4.3 Two-way tables To interpret a variety of tables 4.4 Comparing two or more sets of data To compare two sets of data from statistical diagrams 4.5 Statistical investigations To plan a statistical investigation Week 7 1 Assessment Week 8 Half-term Holiday Week 9 – 10 6 3.1:5: Circles 5.1 The formula for the circumference of a circle To calculate the circumference of a circle 5.2 The formula for the area of a circle To calculate the area of a circle 5.3 Mixed problems To problems involving the circumference and area of a circle Week 10 – 11 5 3.2:5: Applications of graphs 5.1 Step graphs To interpret step graphs 5.2 Time graphs To interpret and draw time graphs 5.3 Exponential growth graphs To interpret and draw exponential growth graphs Week 12 – 13 7 3.2:6: Pythagoras’ theorem 6.1 Introducing Pythagoras’ theorem To understand Pythagoras’ theorem 6.2 Calculating the length of the hypotenuse To calculate the length of the hypotenuse in a right-angled triangle 6.3 Calculating the length of a shorter side To calculate the length of a shorter side in a right-angled triangle To show that a triangle is
Week 4 – 6 10 F:2: Geometry and measures: Measures and scale drawings 2.1 Systems of measurement • To convert from one metric unit to another • To convert from one imperial unit to another 2.2 Conversion factors • To use approximate conversion factors to change between imperial units and metric units 2.3 Scale drawings • To read and draw drawings • To use a drawing to make estimates 2.4 Nets • To draw nets of some 3D shapes • To identify a 3D shape from its net 2.5 an isometric grid • To read from and draw on isometric grids • To interpret diagrams to draw plans and elevations Week 7 3 F:3: Statistics: Charts, tables and averages 3.1 Frequency tables • To use tally charts and frequency tables to collect and represent data • To use grouped frequency tables to collect and represent data 3.2 Statistical diagrams • To draw pictograms to represent statistical data • To draw bar charts and vertical line charts to represent statistical data Week 8 Half-term Holiday Week 9 4 F:3: Statistics: Charts, tables and averages 3.3 Line graphs • To draw a line graph to show trends in data
3.4 Statistical averages • To work out the mode, median, mean and of small sets of data • To decide which is the best average to use to represent a data set Week 10 – 12 10 F:4:Geometry and measures: Angles 4.1 Angles facts • To calculate angles on a straight line • To calculate angles around a point • To use vertically opposite angles 4.2 Triangles • To recognise and calculate the angles in different sorts of triangle 4.3 Angles in a polygon • To calculate the sum of the interior angles in a polygon 4.4 Regular polygons • To calculate the exterior angles and the interior angles of a regular polygon 4.5 Angles in parallel lines • To calculate angles in parallel lines 4.6 Special quadrilaterals • To use angle properties in quadrilaterals 4.7 Bearings • To use a bearing to specify a direction Week 13 – 15 10 F:5: Number: Number properties 5.1 Multiples of numbers • To find multiples of whole numbers • To recognise multiples of numbers 5.2 Factors of whole numbers • To identify the factors of a number 5.3 numbers • To identify prime numbers
Week 20 – 21 7 F:7: Number: Decimals and fractions 7.1 Calculating with decimals • To multiply and divide with decimals 7.2 Fractions and reciprocals • To recognise different types of fraction, reciprocal, terminating decimal and recurring decimal • To convert terminating decimals to fractions • To convert fractions to decimals • To find reciprocals of numbers or fractions 7.3 Writing one quantity as a fraction of another • To work out a fraction of a quantity • To find one quantity as a fraction of another 7.4 Adding and subtracting fractions • To add and subtract fractions with different denominators 7.5 Multiplying and dividing fractions • To multiply proper fractions • To multiply mixed numbers • To divide by fractions 7.6 Fractions on a calculator • To use a calculator to add and subtract fractions • To use a calculator to multiply and divide fractions Week 22 – 23 7 F:8: Algebra: Linear graphs 8.1 Graphs and equations • To use flow diagrams to draw graphs • To work out the equations of horizontal and vertical lines 8.2 Drawing linear graphs by finding points • To draw linear graphs without flow diagrams 8.3 Gradient of a line • To work out the gradient of a straight line • To draw a line with a certain gradient
Week 32 Easter Holiday Term 3 Week 33 – 34 7 F:11: Geometry and measures: Perimeter and area 11.1 Rectangles • To calculate the perimeter and area of a rectangle 11.2 Compound shapes • To calculate the perimeter and area of a compound made from rectangles 11.3 Area of a triangle • To calculate the area of a triangle • To use the formula for the area of a triangle 11.4 Area of a parallelogram • To calculate the area of a parallelogram • To use the formula for the area of a parallelogram 11.5 Area of a trapezium • To calculate the area of a trapezium • To use the formula for the area of a trapezium 11.6 Circles • To recognise used for circle work • To calculate the circumference of a circle 11.7 The area of a circle • To calculate the area of a circle 11.8 Answers in terms of π • To give answers for circle calculations in of π Week 35 – 36 7 F:12:Geometry and measures: Transformations 12.1 Rotational symmetry • To work out the order of rotational symmetry for a 2D shape
• To recognise shapes with rotational symmetry 12.2 Translation • To translate a 2D 12.3 Reflections • To reflect a 2D shape in a mirror line 12.4 Rotations • To rotate a 2D shape about a point 12.5 Enlargements • To enlarge a 2D shape by a scale factor 12.6 more than one transformation • To use more than one transformation 12.7 Vectors • To represent vectors • To add and subtract vectors Week 37 3 F:13: Probability: Probability and events 13.1 Calculating probabilities • To use the probability scale and the language of probability • To calculate the probability of an outcome of an event 13.2 Probability that an outcome will not happen • To calculate the probability of an outcome not happening when you know the probability of that outcome happening 13.3 Mutually exclusive and exhaustive outcomes • To recognise mutually exclusive and exhaustive outcomes Week 38 Half-term Holiday Week 39 4 F:13: Probability: Probability and events 13.4 Experimental probability • To calculate experimental probabilities and relative frequencies from experiments • To recognise different methods for estimating probabilities
13.5 Expectation • To predict the likely number of successful outcomes, given the number of trials and the probability of any one outcome 13.6 Choices and outcomes • To apply systematic listing and counting strategies to identify all outcomes for a variety of problems Week 40 3 F:14:Geometry and measures: Volumes and surface areas of prisms 14.1 3D shapes • To use the correct terms when working with 3D shapes 14.2 Volume and surface area of a cuboid • To calculate the surface area and volume of a cuboid Week 41 – 42 7 Summer examinations and revision Week 43 4 F:14:Geometry and measures: Volumes and surface areas of prisms 14.3 Volume and surface area of a prism • To calculate the volume and surface area of a 14.4 Volume and surface area of cylinders • To calculate the volume and surface area of a cylinder Week 44 – 45 7 F:15: Algebra: Linear equations 15.1 Solving linear equations • To solve linear equations such as 3x – 1 = 11 where the variable only appears on one side • To use inverse operations and inverse flow diagrams • To equations by balancing • To solve equations in which the variable (the letter) appears in the numerator of a fraction
15.2 Solving equations with brackets • To equations where you have to first expand brackets 15.3 Solving equations with the variable on both sides • To solve equations where the variable appears on both sides of the equals sign. SUMMER HOLIDAY (Y10→Y11) YEAR 11 Term 1 Week 1 – 2 7 F:16: Ratio and proportion and rates of change: Percentages and compound measures 16.1 Equivalent percentages, fractions and decimals • To convert percentages to fractions and decimals and vice 16.2 Calculating a percentage of a quantity • To calculate a percentage of a quantity 16.3 Increasing and decreasing quantities by a percentage • To increase and decrease quantities by a percentage 16.4 Expressing one quantity as a percentage of another • To express one quantity as a percentage of another • To work out percentage change 16.5 Compound measures • To recognise and solve problems involving the compound measures of rates of pay, density and pressure Week 3 – 4 7 F:17: Ratio and proportion and rates of change: Percentages and variation 17.1 Compound interest and repeated percentage change • To calculate simple interest • To calculate compound interest • To problems involving repeated percentage change 17.2 Reverse percentage (working out the original • To calculate the original amount, given the final amount, after a known percentage increase or decrease 17.3 Direct proportion • To problems in which two
variables have a directly proportional relationship (direct variation) • To work out the constant of proportionality • To recognise graphs that show direct variation 17.4 Inverse proportion • To problems in which two variables have an inversely proportional relationship (inverse variation) • To work out the constant of proportionality Week 5 – 7 10 F:18: Statistics: Representation and interpretation 18.1 Sampling • To obtain a random sample from a population • To collect unbiased and reliable data for a sample 18.2 Pie charts • To draw and interpret pie charts. 18.3 Scatter diagrams • To draw, interpret and use scatter diagrams • To draw and use a line of best fit 18.4 grouped data and averages • To identify the modal group • To calculate an estimate of the mean from a grouped table Week 8 Half-term Holiday Week 9 – 10 7 F:19: Geometry and measures : 19.1 Constructing triangles • To construct accurate drawings of triangles, using a pair of compasses,
Constructions and loci a protractor and a straight edge 19.2 Bisectors • To construct the bisectors of lines and angles • To construct angles of 60° and 90° 19.3 Defining a locus • To draw a locus for a given rule 19.4 Loci problems • To solve practical problems using loci Week 11 – 12 7 F:20: Geometry and measures: Curved shapes and pyramids 20.1 Sectors • To calculate the length of an arc • To calculate the area and angle of a sector 20.2 Pyramids • To calculate the volume and surface area of a pyramid 20.3 Cones • To calculate the volume and surface area of a cone 20.4 Spheres • To calculate the volume and surface area of a sphere Week 13 3 Revision and review Week 14 – 15 7 Mock and Revision Week 16 Christmas Holiday Week 17 Christmas Holiday 2 Week 18 – 19 7 F:21: Algebra: Number and Sequences 21.1 Patterns in number • To recognise patterns in number sequences 21.2 Number sequences • To recognise how number
three trigonometric ratios 22.6 Calculating lengths using trigonometry • To use trigonometric ratios to calculate a length in a right-angled triangle 22.7 Calculating angles using trigonometry • To use the trigonometric ratios to calculate an angle 22.8 Trigonometry without a calculator • To work out and remember trigonometric values for angles of 30°, 45°, 60° and 90° 22.9 Solving problems using trigonometry • To solve practical problems using trigonometry • To solve problems using an angle of elevation or an angle of depression 22.10 Trigonometry and bearings • To solve bearing problems using trigonometry 22.11 Trigonometry and isosceles triangles • To use trigonometry to problems involving isosceles triangles Week 23 Half-term Holiday Week 24 – 25 7 F:23: Geometry and measures: Congruency and similarity 23.1 Congruent triangles • To demonstrate that two triangles are congruent 23.2 Similarity • To recognise similarity in any two shapes • To show that two shapes are similar • To work out the scale factor
between similar shapes Week 26 – 27 7 F:24: Probability: Combined events 24.1 Combined events • To work out the probabilities when two or more events occur at the same time 24.2 Two-way tables • To read two-way tables and use them to work out probabilities 24.3 Probability and Venn diagrams • To use Venn diagrams to solve probability questions 24.2 Tree diagrams • To understand frequency tree diagrams and probability tree diagrams • To use probability tree diagrams to work out the probabilities involved in combined events Week 28 – 29 7 F:25: Number: Powers and standard form 25.1 Powers (indices) • To write a number as a power of another number • To use powers (also known as indices) • To multiply and divide by powers of 10. 25.2 for multiplying and dividing powers • To use rules for multiplying and dividing powers • To multiply and divide numbers by powers of 10. Week 30 Easter Holiday Week 31 Easter Holiday