Form | Topic | Objectives | Subjects | Assessment |
---|---|---|---|---|

1 | Number | Learn how the idea of place value makes calculations easier -- Use properties of numbers such as compositeness and primeness to find factors, multiples, HCFs and LCMs -- Use a variety of methods to multiply and divide numbers -- Round off numbers so as to make good estimates of the results of calculations -- Use a calculator | The story of numbers -- Adding and subtracting numbers -- Multiples and factors -- More about our number system -- Division -- Approximations and estimations -- Using a calculator -- Problem solving | Quiz or test |

Sets | Understand the mathematical meaning of the word 'set' -- Learn how ideas of sets and their notation assist in sorting and classification -- Discover what a Venn diagram is, and how to draw and use one -- Use Venn diagrams to find HCFs and LCMs | Sets and their members -- How to describe a set -- Venn diagrams -- Intersection of sets -- Common factors, common multiples | Quiz or test Special 1 | |

Fractions | Show fractions using diagrams -- Calculate a fraction of a quantity -- Find equivalent fractions -- Work with fractions greater than 1 -- Add and subtract fractions -- Multiply and divide fractions -- Solve problems involving fractions | Showing fractions -- Calculating fractions -- Equivalent fractions -- Fractions greater than '1' -- Adding fractions -- Subtracting fractions -- Multiplying fractions -- Dividing fractions -- Problem solving | Quiz or test | |

Decimals | Write numbers as decimals -- Represent decimals on a number line -- Compare and order decimals -- Add and subtract decimals -- Multiply and divide decimals -- Use a calculator to work with decimals | Decimals -- Two decimal places -- Decimals and place value -- Adding and subtracting decimals -- Decimals and your calculator -- Multiplying and dividing decimals by powers of ten -- Multiplying and dividing decimals | Quiz or test | |

Angles | Name angles and compare them -- Measure and draw angles -- Discover some relations between angles -- Learn about angles in triangles and quadrilaterals | Lines and angles -- Measuring angles -- Drawing angles -- Relations between angles | Quiz or test | |

Solids | Recognise the main properties of a cuboid, a cylinder, a cone, a sphere, prisms and pyramids -- Draw the net of a solid -- Construct a solid from its net | The cuboid or box -- The cylinder -- Prisms -- The cone -- The pyramid -- The sphere -- Properties of solids -- Nets of solids | Quiz or test | |

Measuring | Find reasons for using standard units of measurement -- Use standard units for lenth and mass -- Understand the difference between mass and weight -- Estimate and measure distance, mass, time and temperature using the appropriate units | Length -- Mass -- Time -- Temperature | Quiz or test | |

Shapes | Sort and classify triangles and quadrilaterals -- Investigate the properties of shapes to solve problems -- Use ruler and compasses to construct shapes accurately -- Create patterns and art using ideas of symmetry and simple transformations | Looking at triangles -- Looking at quadrilaterals -- Constructions -- Symmetry -- Reflection -- Moving shapes -- Investigating shapes | Quiz or test | |

Consumer arithmetic | Calculate bills and find 'best buys' -- See how percentages are uses in everyday life -- Change fractions and decimals to percentages -- Find percentages profit and loss on goods sold -- Calculate savings through discounts -- Find interes on loans and deposits | Using money -- Understanding percentages -- Fractions, decimals and percentages -- Finding percentages of amounts -- Buying and selling -- Loans and deposits | Quiz or test | |

Representing information | Learn ways to collect and record data -- Represent data in the form of pictures and charts -- Choose and use scales in your charts -- Interpret charts and graphs -- Summarise data using averages | Collecting data -- Pictographs -- Bar graphs -- Pie charts -- Looking at averages -- Coordinate graphs | Quiz or test | |

Area | Compare areas -- Use standard units of area -- Estimate areas of irregular shapes -- Calculate the areas of rectangles and triangles -- Calculate the perimeters of shapes | What is area? -- Comparing areas -- Some units of area -- Areas of rectangles and triangles | Quiz or test | |

Symbols and patterns | Identify constants and variables -- Add, subtract and multiply symbols -- Substitute numbers for letters -- Describe a situation using symbols -- Spot patterns in sequences and add exra terms -- Work out the nth term of a sequence -- Solve simple equations | Symbols -- Adding, subtracting and multiplying symbols -- Writing expressions -- Writing equations -- Solving equations -- Looking for patterns -- Arrow diagrams | Quiz or test | |

2 | Number | Add and subtract fractions -- Multiply and divide fractions -- Use fractions to solve problems -- Develop the concept of place value by using different number bases | Addition and subtraction of fractions -- Multiplication and division of fractions -- Number bases | Quiz or test |

Decimals | Solve problems involving addition and substraction of decimals -- Solve problems involving multiplication and division of decimals -- Calculate squares and square roots of decimals -- Round off decimals | Ordering decimals -- Adding and subtracting decimals -- Multiplying decimals -- Dividing decimals -- Squares and square roots of decimals -- Rounding numbers -- Writing fractions as decimals -- Using a calculator | Quiz or test | |

Angles | Draw and measure angles -- Discover properties of parallel lines -- Use vertically opposite, corresponding and alternate angles to solve problems | Measuring and drawing angles -- Angles larger than 180° -- Angles in shapes -- Angles and lines -- Parallel lines | Quiz or test | |

Sets | Find the intersection and union of two sets -- Find the complement of a set -- Use the ideas of union, intersection and complement to solve simple problems | Sets and subsets -- More about intersection -- Letters for sets -- Union of sets -- Complement of a set | Quiz or test | |

Measurement | Compare imperial and metric units -- Calculate the perimeter of shapes -- Find the area of simple shapes -- Read and use scale drawings | Units of measure -- Perimeter -- Areas of rectangles and triangles -- Area of a circle -- Scale drawing | Quiz or test | |

Negative numbers | Use a number line to add and subtract -- Understand what negative numbers are -- Add negative numbers -- Use negative numbers to solve simple problems | Number lines -- Negative numbers -- Negative numbers and addition -- Some ways we use negative numbers -- Negative coordinates | Quiz or test | |

Relations and graphs | Draw and identify types of arrow diagrams -- Identify mappings and represent them as ordered pairs -- Read graphs to extract information -- Show inequalities on graphs | Arrow diagrams -- Mappings -- Ordered pairs -- Plotting graphs -- Reading graphs -- Graphs of relations -- Inequalities | Quiz or test | |

Transformations | Find the images of shapes after reflection -- Find the images of shapes after translation -- Use rotation to identify rotational symmetry | Reflection -- Translating shapes -- Rotation | Quiz or test | |

Statistics | Read data from bar and pie charts -- Draw bar and pie charts -- Calculate and use different tyes of average to solve problems | Frequency tables -- Pie charts -- Bar charts -- Line graphs and scales -- Surveys -- Averages-mode, median and mean | Quiz or test | |

Patterns and algebra | Learn more about different number patterns -- Use formulas to show relationships -- Simplify simple algebraic expressions -- Use linear equations to solve simple problems | Rectangular, prime and square numbers -- Triangle numbers -- Formulas -- Basics of algebra -- Brackets -- Solving linear equations | Quiz or test | |

Volume | Understand what volume is -- Use the units of volume -- Calculate the colume of cuboids -- Calculate the volume of liquids -- Use the idea of volume in real-life situations | What is volume? -- Units of volume -- Volume of cuboids -- Volume of liquids | Quiz or test | |

Consumer arithmetic | Distinguish between chequing and savings accounts -- Calculate interest on savings and loans -- Understand the purpose of taxation -- Work out personal income tax -- Calculate simple utility bills | Banking -- Taxes -- Utility bills | Quiz or test | |

3 | Computation | Use four rules on fractions to solve problems -- Use four rules on decimals to solve problems -- Convert fractions to decimals to percentages -- Make approximations by rounding numbers -- Use scientific notation to record numbers | Working with fractions -- Working with decimals -- Fraction, decimals and percentages -- Estimation -- Rounding numbers -- Standard form -- Calculations and computers | Quiz or test |

Negative numbers | Learn more about addition an subtraction of negative numbers -- Multiply negative numbers -- Divide negative numbers | Adding negative numbers -- Subtracting negative numbers -- Multiplying negative numbers -- Division of negative numbers -- Using your knowledge | Quiz or test | |

Measurement 1 | Calculate the perimeter of shapes -- Solve problems involving the area of composite shapes -- Find the area of parallelograms, trapeziums and sectors | Perimeter -- Basics of area -- Area of composite shapes -- Areas of parallelograms and trapeziums -- Circles, arcs and sectors | Quiz or test | |

Ratio and proportion | Understand what a ratio is -- Compare quantities using a ratio -- Simplify ratios -- Use ratio and proportions to solve problems | Making comparisons -- More about ratios -- Simplifying ratios -- Proportion | Quiz or test | |

Algebra | Simplify algebraic expressions -- Solve linear equations -- Use linear equations to solve problems -- Solve simple inequalities -- Solve pairs of simultaneouos linear equations | Basic Algebra -- Solving linear equations -- Forming and solving equations -- Linear inequalities -- Simultaneous equations | Quiz or test | |

Geometry | Use basic angle facts to calculate angles in shapes -- Use geometric properties to classify shapes -- Use a ruler and compasses to construct angles and shapes | All about angles -- Classifying polygons -- Construction geometry | Quiz or test | |

Trigonometry | Use Pythagoras' theorem to find lengths of shapes -- Use trigonometrical ratios, sine, cosine and tangent, to solve problems | Right angled triangles -- Pythagoras theorem -- Naming sides -- The tangent of an angle -- Working with tangents -- The sine of an angle -- The centre of an angle | Quiz or test | |

Measurement 2 | Learn the difference between an estimated value and an accurate value -- Find the volume of solids -- Calculate the surface area of shapes | Estimation -- Volume basics -- Volume of prisms and cylinders -- Surface areas | Quiz or test | |

Graphs | Find and plots points on a graph using a variety of scales -- Read information from graphs to solve problems -- Draw and use graphs of linear relations to solve problems -- Use graphs to solve simultaneous linear equations -- Show quadratic relationships graphically | Plotting graphs -- Reading graphs -- Drawing graphs -- Linear graphs -- Graphs of quadratics | Quiz or test | |

Transformations | Reflect an object in a mirror line -- Find objects and images of shapes as a result of a rotation -- Describe translations as column vectors -- Use enlargements to solve problems -- Solve problems involving similar triangles | Reflections -- Rotation -- Translation -- Enlargement | Quiz or test | |

Statistics and probability | Use bar and pie charts to respresent data -- Draw and read data from histograms -- Calculate the mean, mode and median from different representations of data -- Understand the concept of probability -- Find the experimental and theoretical probability of simple events | Bar charts and pie charts -- Histograms -- Averages -- Frequency tables and means -- Using statistics -- Probability | Quiz or test | |

Consumer arithmetic | Work out percentages on your calculator -- Calculate simple interest on loans and deposits -- Find out hire purchase prices of goods -- Carry out currency conversions | Fractions and percentages -- Loans and interest -- Hire purchase -- Currency conversions | Quiz or test | |

4 | Computation and number | Multiply and divide whole numbers -- Perform the four basic operations on fractions and decimals -- Write fractions as decimals and vice versa -- Round off numbers up to three decimal places or significant figures -- Write numbers in standard form -- Perform simple operations in any base | Operations with whole numbers -- Some number theory -- Negative numbers -- Calculating with fractions -- Calculating with decimals -- Fractions and decimals -- Rounding off numbers -- Indices -- Standard form -- Number bases -- Ratio and proportion | Quiz or test |

Measurement | Estimate and measure lengths in metric units -- Calculate the perimeter of simple shapes -- Estimate or calculate areas of irregularly shaped figures -- Calculate areas of simple shapes and their combinations -- Calculate surface area of simple 3D shapes -- Calculate the volume of simple 3D shapes -- Use scales to determine distances -- Estimate margins of error and give degrees of accuracy for a given measurement | Length -- Area -- Areas of triangles and quadrilaterals -- Circles -- Arcs and sectors -- Surface area -- Volume -- Measurement and scales -- Error in measurements | Quiz or test | |

Consumer arithmetic | Use ready reckoners -- Change money from one currency to another -- Solve problems involving cost price, selling price and percentage profit or loss -- Calculate simple and compound interest -- Solve problems involving payments by instalments -- Calculate rates and taxes | Money management -- Profit and loss -- Interest and investment -- Hire purchase and mortgages -- Rates and taxes | Quiz or test | |

Algebra 1 | Simplify algebraic expressions -- Use symbols to represent binary operations -- Find solutions to linear equations -- Find the solution set to linear inequalities -- Solve simultaneous equations algebraically -- Use linear or simultaneous equations to solve word problems | Basic algebra -- Binary operations -- Linear equations -- Linear inequalities -- Simultaneous equations -- Word problems | Quiz or test | |

Investigations and problem solving | Find terms in sequence, give the sequences's rules -- Find the rule for a sequence -- Carry out simple mathematical investigations -- Solve problems using a variety of methods | Patterns and sequences -- Investigations | Quiz or test | |

Sets | Find the union, intersection and complement of sets -- Calculate the number of subsets of a given set -- Construct and use Venn diagrams to solve problems involving two or three sets -- Use Venn diagrams to solve simple logical problems
| Union, intersection and complement -- Venn diagrams with three sets -- Finding the number of subsets -- Solving problems | Quiz or test | |

Geometry | State and use simple angle properties to solve problems -- Classify shapes according to their properties -- Solve geometric problems using the properties of polygons -- Use geometric instruments to construct angles and shapes -- Solve geometric problems using the properties of solids -- Use angle properties of circles to solve geometric problems
| Angles -- Symmetry -- Classifying shapes -- Polygons -- Constructions -- Solids -- Circle theorems | Quiz or test | |

Functions 1 | Use arrow diagrams to show relations -- Define a function -- Use functional notation -- Draw graphs of functions | Mapping diagrams -- Function notation -- Functions, relations and graphs -- Working with functions-conversions | Quiz or test | |

Graphs 1 | Read information from graphs -- Draw graphs from data -- Find the gradient and intercepts of a straight-line graph -- Find the equation of a straight line given the coordinates of two of its points or its gradient and one point | Reading and plotting graphs -- Linear relations -- Equations of lines | Quiz or test | |

Trigonometry 1 | Use Pythagoras' theorem to solve simple problems -- Find and use sine, cosine and tangent ratios -- Use trigonometrical ratios to solve problems involving height, distance, angles of elevation and depression, and bearings -- Use the sine and cosine formulae
| Right-angled triangles and Pythagoras' theorem -- Sines, cosines and tangents -- Bearings -- The sine and cosine rules | Quiz or test | |

Statistics | Learn about the nature and purpose of statistics -- Construct frequency tables -- Display data using bar charts, pictographs, pie charts, histograms and frequency polygons -- Find the mean, median and mode for a set of data and know when to use them -- Construct a cumulative frequency table and corresponding cumulative frequency curve -- Find the mean and median from a set of grouped data -- Determine and use measures of spread
| Collecting data -- Organising data -- Displaying data -- Averages-measures of central tendency -- Measures of dispersion | Quiz or test | |

Probability | Know wat is meant by the probability of an event -- Determine experimental and theoretical probabilities of simple events -- Predict the expected value of a given set of outcomes
| The idea of probability -- Experimental probability -- Theoretical probability -- Expected values | Quiz or test | |

5 | Transformations 1 | Write translations as vectors -- Find the image of a shape after a translation, reflection, rotation or enlargement -- Identify and describe a transformation given an object and its image -- Recognise and use similar and congruent triangeles to solve geometrical problems | Translations -- Rotations -- Reflections -- Enlargements -- Similar triangles -- Congruency | Quiz or test |

Functions 2 | Learn about some special functions -- Find the inverse of a function -- Find the composite of two functions
| Some special functions -- The inverse of a function -- The composition of functions -- Composition and inverses | Quiz or test | |

Algebra 2 | Manipulate expressions involving integer indices -- Find the product of two algebraic expressions -- Factorise quadratic expressions -- Solve quadratic equations by factorisation, by completing the square or by using the formula -- Solve a pair of equations in two variables -- Solve problems involving quadratic equations -- Solve problems involving direct and inverse variation | Indices -- Changing the subject of a formula -- The product of two brackets -- Factorising quadratic expressions -- Solving quadratic equations -- Equations in two variables -- Word problems -- Variation | Quiz or test | |

Graphs 2 | Draw and sketch the graphs of quadratic functions -- Find the maximum and minimum values of quadratic functions -- Draw and interpret graphs of other non-linear functions -- Find the gradient of a curve at a point -- Draw and use distance-time and speed-time graphs
| Quadratic graphs -- Maximum and minimum values for quadratic functions -- Gradients of curves -- Plotting other graphs -- Distance-time and speed-time graphs | Quiz or test | |

Trigonometry 2 | Solve practical problems involving lengths and distances in three-dimensional situations -- Find angles in solids -- Find areas of triangles and parallelograms
| Pythagoras in 3-D -- Angles in solids -- Areas of triangles and parallelograms -- Sectors and segments | Quiz or test | |

Vectors and matrices 1 | Describe vectors as 2x1 column vectors -- Add and substract vectors -- Associate position vectors with points -- Find the magnitude of a vector -- Use vectors to solve in geometry -- Define a matrix as an array of numbers -- Add, subtract and multiply simple matrices
| Vectors -- Using vectors in geometry -- Matrices -- Multiplying matrices | Quiz or test | |

Transformations 2 | Find the mirror line given an object and its image after a reflection -- Find the angle and centre of rotation given an object and its image after a rotation -- Describe and use a glide reflection -- Combine transformations
| More on reflections -- More on rotations -- Glide reflections -- Combining transformations | Quiz or test | |

Graphs 3 | Use graphs to find solutions to simultaneous equations -- Use graphs to find solutions to quadratic equations -- Use graphs of functions to solve simple problems -- Draw graphs to represent and solve linear inequalities -- Use linear programming techniques to solve problems
| Solving simultaneous equations graphically -- Solving quadratic equations graphically -- Graphs of inequalities -- Linear programming | Quiz or test | |

Vectors and matrices 2 | Find the inverse of a 2x2 non-singular matrix -- Use matrices to solve simultaneous equations -- Recognise and write 2x2 matrices associated with enlargements, rotations and reflections -- Use matrices to represent a composition of transformations
| The inverse of a matrix -- Simultaneous equations -- Transformation matrices -- Combining transformations | Quiz or test |