# QEGS KS3 Maths Curriculum Maps

*In mathematics we QUESTION the way that we interact with the world around us in terms of information and data we EXPLORE by creating mathematical models which help to decipher and predict a range of natural phenomena. We GIVE students the transferable skills such as problem solving, analytical and investigative expertise that they can use in other subjects to help. We SUCCEED by giving students the opportunities to both make mistakes and learn from them, developing their resilience and their ability to ask why things work and what they mean.*

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## QEGS Year 7 Mathematics Curriculum Map |
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Focus | Autumn 1 | Autumn 2 | Spring 1 | Spring 2 | Summer 1 | Summer 2 |

Topic | Numbers and the number system. Place value and adding and subtracting. | Decimals, multiplying and dividing, and area, Revision | The mean, converting units, angles | Shape and space: triangles, quadrilaterals and symmetry, Revision | Fractions, fractions of amounts, algebra introduction, order of operations | Percentages, fraction/decimal /percentage conversions, working with data, Revision |

Key concepts/ideas | Understand place value to compare and order numbers including decimals Use approximation and rounding in problem solving Understand and solve problems involving addition and subtraction including perimeter | Multiply and divide multi-digit numbers including decimals Find and understand factors and multiples, including LCMs and HCFs Understand and apply the formulae for area of a rectangle, triangle and parallelogram | Mean Average Accurately draw, measure, and identify types of angles Use facts to solve problems involving unknown angles on a line and at a point Convert between units | Understand and use properties of triangles and quadrilaterals Symmetry and tessellation | Understand and use fraction notation in a variety of contexts Compare and order fractions, decimals and mixed numbers Algebraic manipulation Carry out combined calculations using all four operations with brackets | Understand and use percentage including percentage increase and decrease Draw, read and interpret statistical diagrams, including pie charts |

Key skills | Unit 1: Place Value Read and write whole numbers in figures and words Multiply, divide and round any whole number by 10, 100, 1000, or 10 000 Learn about different bases Unit 2 and 3: Addition and Subtraction Use mental strategies Add and subtract using formal algorithms Calculate and work with perimeters Model solve word problems including using bar models Adding and subtracting in different bases Unit 4: Addition and Subtraction of decimals Understand decimal notation and place values Convert between decimals and fractions where the denominator is a factor of 10 or 100 Rounding decimals Use correctly the symbols <, > etc. and the associated language to order a set of decimals Multiply and divide decimals by 10, 100, 1000, or 10 000 Solve word problems involving the addition and subtraction of money in decimal notation Use written methods in column format for addition and subtraction of decimals Extend existing mental calculation to include decimals Calculate the perimeter of rectangles, squares and rectilinear figures | Unit 5,6,7: Multiplication and Division Use multiplication facts to solve mental calculations Use the terms ‘product’, ‘multiple’ and ‘LCM’ Understand and use the column method to multiply integers and decimals Divide whole numbers and decimals by whole numbers Use the terms ‘quotient’, ‘remainder’, ‘factor’, ‘HCF’ Represent multiplication word problems using bar models Find the area of 2-D shapes Solve problems involving length, perimeter and area Estimate answers in calculations and check that results are reasonable Measure time, calculate with time and solve time word problems | Unit 8: Mean Find the mean average, interpreting average as “total amount ÷ number of items" and solve word problems involving average Unit 9: Working with units Record and order measurements using decimal notation Estimate and/or measure: length in kilometres (km) /metres (m)/ centimetres (cm)/ millimetres (mm) mass in kilograms (kg) /grams (g) volume of liquid in litres (l) / millilitres (ml) Unit 10: Angles Draw and measure acute and obtuse angles reliably to the nearest degree Estimate the size of any given angle Recognise acute, right, obtuse and reflex angles Know and use the fact that the angles round a point total 360o, that angles on a straight line total 180o, and that vertically opposite angles are equal | Unit 11 and 12: Triangles and Quadrilaterals Classify triangles and quadrilaterals according to their properties Use a ruler and protractor to construct triangles and quadrilaterals from given data Know and use the fact that the sum of interior angles of a triangle is 180o know and use the fact that the interior angles of a quadrilateral sum to 360o Solve problems involving coordinates in the first quadrant Unit 13: Symmetry and Tessellation Identify lines of symmetry in any shape Identify the order of rotational symmetry in any shape Create shapes given details of their symmetries Investigation and create tessellations | Unit 14: Understand and use fractions Represent fractions using area diagrams, bar models and number lines Recognise and name equivalent fractions Convert fractions to decimals Convert terminating decimals to fractions in their simplest form Convert between mixed numbers and improper fractions Compare and order numbers Convert simple fractions and decimals to percentages Express one quantity as a fraction of another Unit 15: Fractions of amounts Find a fraction of a set of objects or quantity Find the whole given a fraction Unit 18: Introduction to algebra Recognise and continue sequences • Represent an unknown number using a letter • Write and understand simple algebraic expressions • Substitute numerical values into formulae and expressions • Collect like terms and simplify expressions • Multiply out brackets, identify and take out common factors to factorise • Recognise that different-looking expressions may be identical and prove simple algebraic identities Unit 17: Order of operations Carry out combined operations involving all four operations Understand and use brackets Use simple index notation | Unit 20: Percentages Understand percentage as a fractional operator with denominator of 100 Express a part of a whole as a percentage Convert between fractions, decimals and percentages Find fractions and percentages of given quantities Find the whole given a part and the percentage Increasing and decreasing by a percentage Unit 21: Handling data Understand the difference between types of data Construct and interpret Tables (including tally and two way) Bar charts (including comparative and composite) Pictograms Line graphs Read and interpret pie charts Draw pie charts from raw data Explore misleading graphical representations |

Key terms/vocab | Addition, Subtraction, Decimal, Integer, Commutativity, Associativity, Perimeter, Adjusting, Compensating, Tenths, Hundredths, Thousandths | Product, multiple, lowest common multiple, Quotient, Remainder, Factor, Highest Common Factor | Volume, Capacity, Millimetres, Centimetres, Metres, Kilometres, Grams, Kilograms, Litres, Millilitres, Acute, Obtuse, Reflex, Mean Average | Quadrilateral, Scalene, Equilateral, Isosceles, Interior, Exterior, Symmetry, Tessellation, Rotational Symmetry | Equivalent, Terminating, Mixed numbers, Improper fractions, Vinculum, Numerator, Denominator, expand, factorise, expression, simplify, like term, BODMAS, Index notation, Powers | Increasing, Decreasing, Multiplier, Pictograms, Bar charts (comparative and composite), Line graphs, Pie Charts, Raw Data, Hypothesis, Qualitative, Quantitative, Discrete, Continuous, Primary, Secondary |

Independent learning/wider reading | For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk | For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk | For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk | For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk | For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk | For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk |

Assessment | Initial test to test prior knowledge | Test on all topics covered so far | Mini assessment on recent topics | Test on all topics covered so far | Mini assessment on recent topics | Test on all topics covered this year |

Careers links/Future Learning | Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many, many more! Maths is used in most occupations in some form! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology | Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many, many more! Maths is used in most occupations in some form! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology | Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many, many more! Maths is used in most occupations in some form! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology |

## QEGS Year 8 Mathematics Curriculum Map |
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Focus | Autumn 1 | Autumn 2 | Spring 1 | Spring 2 | Summer 1 | Summer 2 |

Topic | Introducing algebra: sequences, like terms and expanding. Factors, multiples and primes. | Fractions, negative numbers, and further algebra including equations, Revision | Shape and space: properties and angles of shapes. Further area, and units of area. | Percentages, including reverse percentages. Ratio and Speed/distance/ time, Revision | Rounding, circles (area and circumference), 3D shapes | Volume and surface area, averages and data. Preparation for starting GCSE., Revision |

Key concepts/ideas | 1) Represent unknowns with letters forming and manipulating algebraic expressions 2) Evaluate algebraic expressions through substitution Understand and use prime factor decomposition | 1) Add and subtract fractions 2) Compare and calculate with negative numbers 3) Find and use both term-to-term and position-to-term rules to describe sequences Form and solve linear equations with one unknown | 1) Construction of triangles and quadrilaterals 2) Understand and use properties of angles in parallel lines Understand and convert between metric units of area for all rectilinear shapes | 1) Use percentage change including reverse percentages 2) Understand and use ratio Understand and use multiplicative relationships in contexts including speed | 1) Rounding to significant figures 2) Understand and use the formulae for area and circumference of circles Represent and use the properties of three-dimensional shapes | 1) Find the volumes and surface areas of prisms and composite solids 2) Understand and use appropriate strategies to collect, tabulate and classify data 3) Understand and use summary measures of data |

Key skills | Unit 18: Introduction to algebra Write and understand simple algebraic expressions Substitute numerical values into formulae and expressions Collect like terms and simplify expressions Multiply out brackets, identify and take out common factors to factorise Recognise that different-looking expressions may be identical and prove simple algebraic identities Unit 19: Algebra generalisation project Unit 1: Prime factorisation ·Find the factors and multiples of a number ·Find prime numbers ·Find the prime factors of a number ·Determine HCF and LCM by prime factorisation ·Find squares, square roots, cubes and cube roots using prime factorisation ·Use indices to record repeated multiplication ·Calculate with the use of a calculator, including squares, cubes, square roots and cube roots | Unit 2: Add and subtract fractions and mixed numbers ·Add and subtract fractions with like and unlike denominators ·Add and subtract fractions mixed numbers and improper fractions ·Convert between improper fractions and mixed numbers ·Add and subtract fractions mixed numbers and improper fractions ·Calculate with decimals Unit 3: Positive and negative numbers Represent and order positive and negative integers on a number line (using the symbols >, ³, <, and £) Apply the four basic operations on positive and negative integers Calculate with rational and decimal numbers (including negative numbers) Unit 4: Sequences, expressions and equations Recognise and represent number patterns (including finding an algebraic expression for the nth term) Translate real-world situations into algebraic expressions Distinguish between terms and coefficients in algebraic expressions Distinguish between like and unlike terms in algebraic expressions Add and subtract linear algebraic expressions Expand simple linear expression · Solve linear equations in one unknown · Solve fractional equations that can be reduced to linear equations · Formulate a linear equation in one unknown to solve problems | Unit 5: 2-D Shapes ·Measure, draw and identify angles ·Define an equilateral, isosceles, and scalene triangle ·Draw triangles given different information Classify special quadrilaterals on the basis of their properties: define 2-D shapes Draw accurately 2-D shapes given information Understand and use right, acute, obtuse and reflex angles, complementary and supplementary angles, vertically opposite angles, adjacent angles on a straight line, adjacent angles at a point, interior and exterior angles Identify the different types of angles formed by parallel lines and a transversal such as corresponding angles, alternate angles and interior angles Find unknown angles Unit 6: Length and area- units, parallelograms and trapeziums ·Convert between cm2and m2 ·Find the area and perimeter of a composite shape ·Find the areas of parallelograms and trapeziums ·Solve word problems involving area and perimeter | Unit 7: Percentage Change ·Use percentages greater than 100% ·Express one quantity as a percentage of another ·Compare two quantities by percentage ·Increase or decrease a quantity by a given percentage ·Reverse percentages: find the original quantity given a part of it and its percentage ·Reverse percentages: find the original quantity when we know its final value after the percentage increase or decrease ·Solve problems involving percentages and reverse percentages Unit 8: Ratio and Rate ·Interpret a : b and a : b : c, where a, b and c are whole numbers ·Compare two or more quantities by ratio ·Understand the relationship between ratios and fractions ·Write equivalent ratios ·Express ratios involving rational numbers in their simplest form ·Divide a quantity in a given ratio ·Find one quantity given the other quantity and their ratio ·Find the whole/ one part when a whole is divided into parts in a given ratio ·Understand and differentiate between the concepts of speed, average speed and uniform speed ·Calculate speed, distance or time given the other two quantities ·Convert from one unit of speed to another (e.g. km/h to m/s) ·Solve word problems involving ratio, speed, uniform speed and average speed | Unit 9: Rounding, significant figures and estimation ·Round off a number to a required number of decimal places ·Round off a number to a required number of significant figures ·Estimate the answer to a given problem ·Identify rounding and truncation errors Unit 10: Circles ·Use formulae to calculate the area and circumference of a circle ·Find the area and perimeter of a semicircle and quarter circle ·Solve word problems involving area and perimeter Unit 11: 3D shapes and their nets ·Recognise nets of 3D shapes ·Build and name 3D shapes Unit 12: Surface area and volume ·Find the volumes of cubes, cuboids, prisms and cylinders ·Find the volumes of composite solids ·Convert between cm3 and m3 | Unit 13: Statistics ·Find the mean, median more and range from raw datasets ·Use the mean/median/mode to compare data sets ·Use an average plus the range to compare datasets ·Find the mode, median and mean from tables and graphical representations ·Explore methods of data collection including surveys, questionnaires and the use of secondary data ·Classify and tabulate data ·Conduct statistical investigations using collected data ·Draw, analyse and interpret graphs including those met in year 7 |

Key terms/vocab | Simplify, Like terms, Expressions, Expand, Factorise, Substitution, Identities, Equivalent, Prime, Square, Cube, Roots, Indices, LCM, HCF | Improper fractions, Mixed numbers, Denominator, Numerator, Nth term, Coefficients, Expressions, Equations, Linear | Equilateral, Scalene, Isosceles, Acute, Obtuse, Reflex, Trapezium, Parallelogram, Transversal line, Vertically opposite, Alternate, Corresponding, Co-interior | Reverse percentage, Speed, Distance, Time, Unit, Per, Average speed, Uniform speed | Estimate, Significant figures, Truncate, Circumference, Area, Volume, Prism, Composites, Cubes, Cuboids, Cylinders | Discrete, Continuous, primary, Secondary, Qualitative, Quantitative, Mean, Median, Mode, Range, Compare |

Independent learning/wider reading | For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk | For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk | For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk | For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk | For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk | For more support and lots of practice questions go to www.mymaths.co.uk or www.mathswatch.co.uk |

Assessment | Mini assessment on recent topics studied | Test on all topics studied so far | Mini assessment on recent topics studied | Test on all topics studied so far | Mini assessment on recent topics studied | Test on all topics studied so far |

Careers links/Future Learning |

## QEGS Year 8 Maths Nurture Group Curriculum Map |
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Focus | Autumn 1 | Autumn 2 | Spring 1 | Spring 2 | Summer 1 | Summer 2 |

Topic | Introducing algebra: sequences, like terms and expanding. Factors, multiples and primes. | Fractions, negative numbers, and further algebra including equations. | Shape and space: properties and angles of shapes. Further area, and units of area. | Percentages, including reverse percentages. Ratio and Speed/distance/ time. | Rounding, circles (area and circumference), 3D shapes | Volume and surface area, averages and data. Preparation for starting GCSE. |

Key concepts/ideas | Understand and use prime factor decomposition Compare and calculate with negative numbers Find and use both term-to-term and position-to-term rules to describe sequences Represent unknowns with letters forming and manipulating algebraic expressions Evaluate algebraic expressions through substitution | Add and subtract fractions Form and solve linear equations with one unknown | 1) Construction of triangles and quadrilaterals 2) Understand and use properties of angles in parallel lines Understand and convert between metric units of area for all rectilinear shapes | Use percentage change including reverse percentages Understand and use ratio Understand and use multiplicative relationships in contexts including speed | Use percentage change including reverse percentages Understand and use ratio Understand and use multiplicative relationships in contexts including speed | 1) Find the volumes and surface areas of prisms and composite solids 2) Understand and use appropriate strategies to collect, tabulate and classify data 3) Understand and use summary measures of data |

Key skills | Unit 1: Prime factorisation ·Find the factors and multiples of a number ·Find prime numbers ·Find the prime factors of a number ·Determine HCF and LCM by prime factorisation ·Find squares, square roots, cubes and cube roots using prime factorisation ·Use indices to record repeated multiplication ·Calculate with the use of a calculator, including squares, cubes, square roots and cube roots Unit 3: Positive and negative numbers Represent and order positive and negative integers on a number line (using the symbols >, ³, <, and £) Apply the four basic operations on positive and negative integers Calculate with rational and decimal numbers (including negative numbers) Unit 18: Introduction to algebra Write and understand simple algebraic expressions Substitute numerical values into formulae and expressions Collect like terms and simplify expressions Multiply out brackets, identify and take out common factors to factorise Recognise that different-looking expressions may be identical and prove simple algebraic identities Unit 4a: Algebra Recognise and represent number patterns (including finding an algebraic expression for the nth term) Translate real-world situations into algebraic expressions Distinguish between terms and coefficients in algebraic expressions Distinguish between like and unlike terms in algebraic expressions Add and subtract linear algebraic expressions Expand simple linear expression | Unit 2: Add and subtract fractions and mixed numbers ·Add and subtract fractions with like and unlike denominators ·Add and subtract fractions mixed numbers and improper fractions ·Convert between improper fractions and mixed numbers ·Add and subtract fractions mixed numbers and improper fractions ·Calculate with decimals Unit 4b: Equations · Solve linear equations in one unknown · Solve fractional equations that can be reduced to linear equations · Formulate a linear equation in one unknown to solve problems | Unit 5: 2-D Shapes ·Measure, draw and identify angles ·Define an equilateral, isosceles, and scalene triangle ·Draw triangles given different information Classify special quadrilaterals on the basis of their properties: define 2-D shapes Draw accurately 2-D shapes given information Understand and use right, acute, obtuse and reflex angles, complementary and supplementary angles, vertically opposite angles, adjacent angles on a straight line, adjacent angles at a point, interior and exterior angles Identify the different types of angles formed by parallel lines and a transversal such as corresponding angles, alternate angles and interior angles Find unknown angles Unit 6: Length and area- units, parallelograms and trapeziums ·Convert between cm2and m2 ·Find the area and perimeter of a composite shape ·Find the areas of parallelograms and trapeziums ·Solve word problems involving area and perimeter | Unit 7: Percentage Change ·Use percentages greater than 100% ·Express one quantity as a percentage of another ·Compare two quantities by percentage ·Increase or decrease a quantity by a given percentage ·Reverse percentages: find the original quantity given a part of it and its percentage ·Reverse percentages: find the original quantity when we know its final value after the percentage increase or decrease ·Solve problems involving percentages and reverse percentages Unit 8: Ratio and Rate ·Interpret a : b and a : b : c, where a, b and c are whole numbers ·Compare two or more quantities by ratio ·Understand the relationship between ratios and fractions ·Write equivalent ratios ·Express ratios involving rational numbers in their simplest form ·Divide a quantity in a given ratio ·Find one quantity given the other quantity and their ratio ·Find the whole/ one part when a whole is divided into parts in a given ratio ·Understand and differentiate between the concepts of speed, average speed and uniform speed ·Calculate speed, distance or time given the other two quantities ·Convert from one unit of speed to another (e.g. km/h to m/s) ·Solve word problems involving ratio, speed, uniform speed and average speed | Unit 9: Rounding, significant figures and estimation ·Round off a number to a required number of decimal places ·Round off a number to a required number of significant figures ·Estimate the answer to a given problem ·Identify rounding and truncation errors Unit 10: Circles ·Use formulae to calculate the area and circumference of a circle ·Find the area and perimeter of a semicircle and quarter circle ·Solve word problems involving area and perimeter Unit 11: 3D shapes and their nets ·Recognise nets of 3D shapes ·Build and name 3D shapes Unit 12: Surface area and volume ·Find the volumes of cubes, cuboids, prisms and cylinders ·Find the volumes of composite solids ·Convert between cm3 and m3 | Unit 13: Statistics ·Find the mean, median more and range from raw datasets ·Use the mean/median/mode to compare data sets ·Use an average plus the range to compare datasets ·Find the mode, median and mean from tables and graphical representations ·Explore methods of data collection including surveys, questionnaires and the use of secondary data ·Classify and tabulate data ·Conduct statistical investigations using collected data ·Draw, analyse and interpret graphs including those met in year 7 |

Key terms/vocab | Simplify, Like terms, Expressions, Expand, Factorise, Substitution, Identities, Equivalent, Prime, Square, Cube, Roots, Indices, LCM, HCF | Improper fractions, Mixed numbers, Denominator, Numerator, Nth term, Coefficients, Expressions, Equations, Linear | Equilateral, Scalene, Isosceles, Acute, Obtuse, Reflex, Trapezium, Parallelogram, Transversal line, Vertically opposite, Alternate, Corresponding, Co-interior | Reverse percentage, Speed, Distance, Time, Unit, Per, Average speed, Uniform speed | Estimate, Significant figures, Truncate, Circumference, Area, Volume, Prism, Composites, Cubes, Cuboids, Cylinders | Discrete, Continuous, primary, Secondary, Qualitative, Quantitative, Mean, Median, Mode, Range, Compare |

Independent learning/wider reading | Discrete, Continuous, primary, Secondary, Qualitative, Quantitative, Mean, Median, Mode, Range, Compare | |||||

Assessment | Mini assessment on recent topics studied | Test on all topics studied so far | Mini assessment on recent topics studied | Test on all topics studied so far | Mini assessment on recent topics studied | Test on all topics studied so far |

Careers links/Future Learning | Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many many more- Maths is used in most occupations in one form or another! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology | Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many many more- Maths is used in most occupations in one form or another! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology | Finance, Biologist, Chemist, Physicist, Business Analyst, Forecaster, Computer scientist, and many many more- Maths is used in most occupations in one form or another! Continued studies lead to A level Maths/Further Maths, A level Biology/Chemistry/Maths, Economics, Psychology |