 ### Key Stage 3

Subject: Maths

Key Stage 3

Subject:  Mathematics  – Year 7 – Sets 1, 2, and  3

Aims of the subject:

We aim to develop the full potential of every pupil in Mathematics regardless of their starting point. We build our teaching of mathematics around developing enquiring minds for problem solving and building resilience.  We hope that every pupil experiences success and enjoyment, whether it be equipping them with sufficient Mathematics skills for their day to day life or providing them with a firm foundation to pursue Mathematics beyond GCSE.

The Mathematics scheme of learning is divided into units of study consisting of interlinking skills and topics. For each unit of study, pupils will complete a ‘common end of unit task‘ which may be completed in class or as homework. This provides an indication of understanding and highlights any areas for intervention which will be actioned immediately.  Throughout each unit of work, pupils will receive homework once a week that is set by their class teacher. Pupils sit formal assessments three times a year.  These provide an opportunity for each pupil to demonstrate their mathematical ability and understanding in problem solving and recalling information studied in previous units of work.

What will I learn? What will I do?
Term 1 Unit 1
• Identify sources of primary and secondary data.
• Choose a suitable sample size.
• Understand how to reduce bias in sampling and questionnaires.
• Identify a random sample.
• Use two-way tables.
• Interpret and draw dual bar charts and compound bar charts.
• Choose the most appropriate average for a set of data.
• Find the mode, median, mean and range for a set of data.
• Compare sets of data using averages and the range.
• Group discrete and continuous data.
• Draw and interpret grouped frequency diagrams.
• Interpret and draw line graphs.
• Recognise when a graph is misleading.
• Draw and interpret pie charts.
• Graph paper and draw scatter graphs.
• Describe the correlation between two sets of data.
• Draw a line of best fit and use it to estimate values.

Term 1 Unit 2
 Understand the difference between multiples, factors and primes. Find all the factor pairs of any whole number. Find the HCF and LCM of two numbers. Add, subtract, multiply and divide positive and negative numbers Use mental and written strategies for multiplication. Divide a 3-digit integer by a single or 2-digit integer.

·     Use index notation for squares and square roots.

·     Calculate with squares and square roots.

·     Carry out calculations involving squares, cubes, square roots and cube roots.

·     Use factorising to work out square roots and cube roots.

·     Solve word problems using square roots and cube roots.

·     Estimate answers to complex calculations.

·     Carry out calculations involving brackets.

End of Autumn Half Term Assessment – Units 1-2

Term 1 Unit 3

• Simplify expressions by collecting like terms.
• Construct expressions using four operations.
•  Substitute into formulae.
• Derive formulae from a description
• Expand expressions involving brackets.
• Substitute into expressions involving powers.
• Factorise an algebraic expression

Term 1 Unit 4
• Compare and simplify fractions.
• Write one number as a fraction of another.
• Work out simple fractions of amounts.
• Write an improper fraction as a mixed number.
• Work with equivalent fractions, decimals and percentages.
• Use division to write a fraction as a decimal.
• Work out fractions of amounts.
• Divide an integer and a fraction by a fraction.
• Multiply a fraction by a fraction.
• Add and subtract mixed numbers.
• Enter time as a mixed number into a calculator.
• Multiply and divide a mixed number.

Christmas Assessment –  Units 1-4

Term 2 Unit 5
• Work out unknown angles when two or more lines meet or cross at a point.
• Work out unknown angles involving parallel lines.
• Describe the line and rotational symmetry of triangles.
• Understand how to prove that a result is true.
• Use properties of a triangle to work out unknown angles.
• Use the properties of isosceles and equilateral triangles to solve problems.
• Describe the line and rotational symmetry of quadrilaterals.
• Describe the properties of quadrilaterals.
• Work out the interior and exterior angles of a polygon

Term 2 Unit 6
• Write decimals in ascending and descending order
• Round to decimal places
• Multiply a decimal by an integer.
• Use place value to multiply decimals.
 ·           Divide a decimal by a whole number. ·           Divide a number by a decimal.
• Convert between fractions decimals and percentages.
• Compare different proportions using percentages.
• Convert between fractions decimals and percentages.
• Compare different proportions using percentages.

February  Half Term Assessment

Term 2 Unit 7
• Write and solve simple equations.
• Solve problems using equations.
• Write and solve simple equations.
• Solve problems using equations.
• Write and solve equations with letters on both sides
• Solve equations that include x² and x3
• Use trial and improvement to find solutions to 1 decimal place.

Easter End of Term Assessment – Units 1-7

Term 3 Unit 8
• Convert between metric and imperial units.
• Use metric units.
• Write a ratio in its simplest form.
• Simplify a ratio expressed in fractions or decimals.
• Share a quantity in 2 or more parts in a given ratio
• Understand the relationship between ratio and proportion
• Solve simple word problems involving ratio and direct proportion.
• Solve simple word problems involving ratio and inverse proportion.
• Solve problems involving ratio and proportion using the unitary method.
• Write ratios in the form 1 : n

Term 3 Unit 8
• Calculate the area of triangles.
• Calculate the area of parallelograms.
• Calculate the area of trapeziums.
• Calculate the perimeter of shapes made from rectangles and triangles.
• Calculate the area of shapes made from rectangles and triangles.
• Identify nets of different 3D shapes.
• Know the properties of 3D shapes.
• Calculate the surface area of a cube.
• Calculate the surface area of a cuboid.

·           Calculate the volume of a cube.

·           Calculate the volume of a cuboid.

·           Convert between different units of volume: cm³, ml and litres.

• Convert between metric measures for area and volume

Term 3 Unit 9
• Work out the terms of an arithmetic sequence using the term-to-term rule.
• Work out a given term in a simple arithmetic sequence.
• Work out and use expressions for the nth term in an arithmetic sequence
• Generate sequences and predict how they will continue.
• Recognise geometric sequences and work out the term-to-term rule.
• Use positive and negative coordinates.
• Work out the midpoint of a line segment.
• Draw straight-line graphs.
• Recognise straight-line graphs parallel to the axes.
• Recognise graphs of y = x and y = −x

End of Year  Assessment

Note on Assessments : Pupils will sit formal assessments at Christmas and the end of the summer term. Half termly assessments will be ongoing.

Extra-curricular opportunities :

Pupils are encouraged to join  the STEM club and attend KS3 homework club for any ad-hoc support .

How you can support your child’s progress

• Practise mental maths skills i.e. addition, subtraction. Multiplication and division
• Seek real life opportunities to challenge your child’s mathematical knowledge, for example calculating best buys, calculating how many pots of paint to decorate a room etc.
• Encourage independence in repeated learning of unfamiliar topics and homework support via FROG.

Subject:  Mathematics  – Year 7 – Sets 4 and 5

Aims of the subject:

We aim to develop the full potential of every pupil in Mathematics regardless of their starting point. We build our teaching of mathematics around developing enquiring minds for problem solving and building resilience.  We hope that every pupil experiences success and enjoyment, whether it be equipping them with sufficient Mathematics skills for their day to day life or providing them with a firm foundation to pursue Mathematics beyond GCSE.

The Mathematics scheme of learning is divided into units of study consisting of interlinking skills and topics. For each unit of study, pupils will complete a ‘common end of unit task‘ which may be completed in class or as homework. This provides an indication of understanding and highlights any areas for intervention which will be actioned immediately.  Throughout each unit of work, pupils will receive homework once a week that is set by their class teacher. Pupils sit formal assessments three times a year.  These provide an opportunity for each pupil to demonstrate their mathematical ability and understanding in problem solving and recalling information studied in previous units of work.

Note on Assessments : Pupils will sit formal assessments at Christmas and the end of the summer term. Half termly assessments will be ongoing.

Extra-curricular opportunities :

Pupils are encouraged to join  the STEM club and attend KS3 homework club for any ad-hoc support

How you can support your child’s progress

• Practise mental maths skills i.e. addition, subtraction. Multiplication and division
• Seek real life opportunities to challenge your child’s mathematical knowledge, for example calculating best buys, calculating how many pots of paint to decorate a room etc.
• Encourage independence in repeated learning of unfamiliar topics and homework support via FROG.

Subject:  Mathematics  – Year 8 – Sets 1, 2, and  3

Aims of the subject:

We aim to develop the full potential of every pupil in Mathematics regardless of their starting point. We build our teaching of mathematics around developing enquiring minds for problem solving and building resilience.  We hope that every pupil experiences success and enjoyment, whether it be equipping them with sufficient Mathematics skills for their day to day life or providing them with a firm foundation to pursue Mathematics beyond GCSE.

The Mathematics scheme of learning is divided into units of study consisting of interlinking skills and topics. For each unit of study, pupils will complete a ‘common end of unit task‘ which may be completed in class or as homework. This provides an indication of understanding and highlights any areas for intervention which will be actioned immediately.  Throughout each unit of work, pupils will receive homework once a week that is set by their class teacher. Pupils sit formal assessments three times a year.  These provide an opportunity for each pupil to demonstrate their mathematical ability and understanding in problem solving and recalling information studied in previous units of work.

What will I learn? What will I do?
Term 1 Unit 1
• Write the prime factor decomposition of a number.
• Use prime factor decomposition to find the HCF or LCM or two numbers.
• Write the prime factor decomposition of a number.
• Use prime factor decomposition to find the HCF or LCM or two numbers.
• Use and understand powers of 10.
• Use and understand powers of 10.
• Use the prefixes associated with powers of 10.

·           Understand the effect of multiplying and dividing by any integer power of 10.

• Calculate with powers.
• Round to a number of significant figures.

·

Term 1 Unit 2
• Simplify expressions involving powers and brackets.
• Understand the meaning of an identity.
• Use the index laws in algebraic calculations and expressions.
• Simplify expressions with powers.
• Write and simplify expressions involving brackets and powers.
• Factorise an algebraic expression.
• Substitute integers into expressions.
• Construct and solve equations.

·

End of Autumn Half Term Assessment  Units 1-2

Term 1 Unit 3

• Use 2D representations of 3D solids.
 ·           Sketch nets of 3D solids. ·           Calculate the surface area of prisms.
• Calculate the volume of right prisms.
• Name the different parts of a circle.
• Calculate the circumference.
• Calculate the radius or diameter when you know the circumference.
• Calculate the area of a circle.
• Calculate the radius or diameter when you know the area.
• Calculate the volume and surface area of a cylinder.
• Use Pythagoras’ theorem in right-angled triangles.

Term 1 Unit 4
 ·           Recognise when values are in direct proportion. ·           Plot graphs and read values to solve problems.
• Interpret graphs from different sources.
• Understand financial graphs.
• Draw and interpret distance–time graphs.
• Use distance–time graphs to solve problems.
• Interpret graphs that are curved.
• Interpret real-life graphs.
• Understand when graphs are misleading.

Christmas Assessment

Units  1-4

Term 2 Unit 5
• Describe and carry out translations.
• Describe and carry out reflections.
• Describe and carry out rotations
• Enlarge a shape.
• Describe an enlargement.
• Enlarge a shape using negative scale factors.
• Enlarge a shape using fractional scale factors.
• Transform 2D shapes using a combination of reflection, rotation, enlargement and translation
• Identify planes of reflection symmetry in 3D solids.
• Find the perimeter and area of 2D shapes after enlargement.
• Find the volume of 3D solids after enlargements.

Term 2 Unit 6
• Recognise fractional equivalents to important recurring decimals
• Recognise which denominators of simple fractions produce recurring decimals
• Change a recurring decimal into a fraction.
• Calculate percentages
• Work out an original quantity before a percentage increase or decrease
• Calculate the effect of repeated percentage changes.

Term 2 Unit 7
• Draw triangles accurately using a ruler and protractor.
• Draw diagrams to scale.
• Draw accurate nets of 3D solids.
• Construct triangles using a ruler and compasses.
• Construct nets of 3D solids using a ruler and compasses.
• Bisect a line using a ruler and compasses.
• Construct perpendicular lines using a ruler and compasses.
• Bisect angles using a ruler and compasses.
• Draw accurate diagrams to solve problems.
• Draw a locus.
• Use loci to solve problems.

Easter End of Term Assessment – Units 1-7

Term 3 Unit 8
• Calculate and compare probabilities.
• Decide if a game is fair.
• Identify mutually exclusive outcomes and events.
• Find the probabilities of mutually exclusive outcomes and events.
• Find the probability of an event not happening.
• Calculate the relative frequency of a value.
• Use relative frequency to make estimates.
• Use relative frequency to estimate the probability of an event.
• Use estimated probability to calculate expected frequencies.
• Carry out a probability experiment.
• Estimate probability using data from an experiment.
• Work out the expected results when an experiment is repeated.
• List all the possible outcomes of one or two events in sample space diagrams or Venn diagrams.
• Calculate probabilities of repeated events.
• Use tree diagrams to find the probabilities of two or more events.

Term 3 Unit 9
• Use scales in maps and plans.
• Use and interpret maps.
• Use scales in maps and plans.
• Use and interpret maps.
• Draw diagrams to scale.
• Use and interpret scale drawings.
• Identify congruent and similar shapes.
• Use congruence to solve problems in triangles and quadrilaterals.
• Use similarity to solve problems in 2D shapes.

Term 3 Unit 10
•  Plot straight-line graphs.
• Find the yintercept of a straight-line graph.
• Find the gradient of a straight-line graph.
• Plot graphs using the gradient and y-intercept.
• Use y = mx + c
• Find the equation of a straight-line graph.
• Identify parallel and perpendicular lines
• Find the inverse of a linear function.
• Plot and use non-linear graphs.

End of Year  Assessment

Note on Assessments : Pupils will sit formal assessments at Christmas and the end of the summer term. Half termly assessments will be ongoing.

Extra-curricular opportunities : Pupils are encouraged to join  the STEM club and attend KS3 homework club for any ad-hoc support.

How you can support your child’s progress

• Practise mental maths skills i.e. addition, subtraction. Multiplication and division
• Seek real life opportunities to challenge your child’s mathematical knowledge, for example calculating best buys, calculating how many pots of paint to decorate a room etc.
• Encourage independence in repeated learning of unfamiliar topics and homework support via FROG.

Subject:  Mathematics  – Year 8 – Sets  4, and  5

Aims of the subject:

We aim to develop the full potential of every pupil in Mathematics regardless of their starting point. We build our teaching of mathematics around developing enquiring minds for problem solving and building resilience.  We hope that every pupil experiences success and enjoyment, whether it be equipping them with sufficient Mathematics skills for their day to day life or providing them with a firm foundation to pursue Mathematics beyond GCSE.

The Mathematics scheme of learning is divided into units of study consisting of interlinking skills and topics. For each unit of study, pupils will complete a ‘common end of unit task‘ which may be completed in class or as homework. This provides an indication of understanding and highlights any areas for intervention which will be actioned immediately.  Throughout each unit of work, pupils will receive homework once a week that is set by their class teacher. Pupils sit formal assessments three times a year.  These provide an opportunity for each pupil to demonstrate their mathematical ability and understanding in problem solving and recalling information studied in previous units of work.

What will I learn? What will I do?
Term 1 Unit 1
• Use written methods to add and subtract with decimals.
• Calculate mentally.
• Calculate with money.
• Add, subtract, multiply and divide positive and negative numbers
• Calculate using squares, square roots, cubes and cube roots.
• Use index notation for powers of numbers.
• Estimate the square root of a number.
• Use mental methods to calculate combinations of powers roots and brackets.
• Use a calculator to check answers.
• Substitute numbers into formulas involving power, roots and brackets.
• Substitute into algebraic expressions involving powers.
• Write expressions and formulae.
• Change the subject of a formula.
• Simplify expressions involving brackets, use rules for indices and factorise expressions.
• Multiply out double brackets and collect like terms.
• Use index notation.
• Write a number as a product of its prime factors.
• Use prime factor decomposition to find the HCF and LCM.

·

Term 1 Unit 2
• Derive and use the formula for the area of a triangle.
• Find areas of compound shapes.
• Calculate areas of parallelograms and trapezia.
• Calculate the volume of cubes and cuboids
• Sketch nets of 3D solids
• Calculate the surface area of cubes and cuboids
• Calculate the volume of cubes and cuboids.
• Calculate the surface area of cubes and cuboids.

End of Autumn Half Term Assessment  Units 1-2

Term 1 Unit 4
• Understand and simplify algebraic powers.
• Substitute values into formulas involving powers.
• Understand and simplify algebraic powers.
• Substitute values into formulas involving powers.
• Substitute into algebraic expressions involving powers.
• Write expressions and formulae.
• Change the subject of a formula.
• Simplify expressions involving brackets, use rules for indices and factorise expressions.
• Multiply out double brackets and collect like terms.
• Factorise expressions
• Find the inverse of a function.
• Solve simple equations using function machines.
• Solve real life problems using equations.
• Solve equations using the balancing method.
• Solve equations with the unknown number on both sides.

.

Term 1 Unit 5
• Reading values from conversion graphs.
• Plotting conversion graphs from a table of data.
• Interpreting distance-time graphs.
• Plotting distance-time graphs from descriptive text.
• Using distance-time graphs to solve problems.
• Plotting line graphs from tables of data.
• Interpreting line graphs.
• Reading values from real-life graphs.
• Describing trends and making predictions based on information presented graphically.
• Working out percentages.
• Draw, use and interpret conversion graphs.
• Draw, use and interpret distance-time graphs.
• Draw and interpret line graphs.
• Draw, use and interpret real-life graphs.
• Discuss and interpret linear and non-linear graphs.

Christmas Assessment

Units  1-5

Please note – For  Unit 3   the extra content added requires that it is placed after the percentages teaching in Unit 10.

Term 2 Unit 6
• Rounding whole numbers and decimals.
• Writing large numbers as a decimal number of millions.
• Ordering positive and negative decimals.
• Using the symbols > and < between two negative decimals.
• Multiplying larger numbers.
• Multiplying decimals with up to two decimal places.
• Multiplying any number by 0.1 and 0.01.
• Adding and subtracting decimals of any size.
• Multiplying and dividing by decimals.
• Dividing by 0.1 and 0.01.
• Using ratios involving decimals.
• Solving proportion problems involving decimals.
• Solving engineering problems using ratio and proportion.
• Using unit ratios.

Term 2 Unit 7
• Using alternate angles to find unknown angles.
• Using reasoning to complete mathematical proofs.
• Solving geometrical problems using side and angle properties of triangles and quadrilaterals.
• Identifying corresponding angles.
• Solving problems using properties of angles in parallel and intersecting lines.
• Calculating the sum of the interior and exterior angles of a polygon.
• Calculating the interior and exterior angles of a polygon.
• Finding unknown angles by forming and solving equations.
• Solving geometrical problems showing reasoning.

End of Half Term Assessment – Units 1-7

Term 2 Unit 8 ·           Adding and subtracting fractions with any size denominator

• Multiply integers and fractions by a fraction
• Use appropriate methods for multiplying fractions.
• Convert fractions to decimals.
• Write one amount as a fraction of another.
• Find the reciprocal of a number.
• Divide integers and fractions by a fraction.
• Use strategies for dividing fractions.

·       Use the four operations with mixed numbers

Easter  Term Assessment – Units 1-8

Term 3 Unit 9
• Recognising when values are in direct proportion.
• Plotting graphs and reading values to solve problems.
• Plot a straight-line graph and work out its gradient.
• Plot the graphs of linear functions.
• Find midpoints of line segments.
• Write the equations of straight line graphs in the form y = mx + c
• Identify and describe practical examples of direct proportion.
• Solve problems involving direct proportion with or without a graph.

Term 3 Unit 10
• Recall equivalent fractions and decimals.
• Recognise recurring and terminating decimals.
• Order fractions by converting them to decimals or equivalent fractions.
• Recall equivalent fractions, decimals and percentages.
• Use different methods to find equivalent fractions, decimals and percentages.
• Use the equivalence of fractions, decimals and percentages to compare proportions.
• Working out one number as a percentage of another.
• Working out percentage increase and decrease.
• Use a multiplier to calculate percentage increase and decrease.
• Use the unitary method to solve percentage problems.
• Use strategies for calculating fractions and decimals of a given number.
• Use mental strategies of conversion and equivalence of fractions, decimals and percentages to solve word problems mentally.

Term 3 Unit 3
• Identify sources of primary and secondary data.
• Choose a suitable sample size and what data to collect.
• Identify factors that may affect data collection and plan to reduce bias.
• Design a good questionnaire.
• Design and use data collection sheets and tables.
• Interpret simple pie charts.
• Calculate angles and draw pie charts.
• Drawing and interpreting two-way tables.
• Calculating the mean from a simple frequency table.
• Tallying data into a grouped frequency table, designing a grouped frequency table, using a ≤ x < b notation, finding modal class and estimating range.
• Drawing and interpreting stem and leaf diagrams with different stem values.
• Finding mode, median and range from stem and leaf diagrams, and comparing them for different data sets.
• Compare data using averages and range, including mean calculated from frequency table.
• Compare data using the shape of a line graph or pie chart.
• Draw line graphs to compare sets of data.
• Decide on the most appropriate average to use.
• Draw scatter graphs.
• Describe types of correlation.
• Draw a line of best fit by eye on a scatter graph.
• Identify graphs and charts that are misleading because of the scales used and missing axis labels, mainly in financial contexts

End of Year Assessment

Note on Assessments : Pupils will sit formal assessments at Christmas and the end of the summer term. Half termly assessments will be ongoing.

Extra-curricular opportunities : Pupils are encouraged to join  the STEM club and attend KS3 homework club for any ad-hoc support.

How you can support your child’s progress

• Practise mental maths skills i.e. addition, subtraction. Multiplication and division
• Seek real life opportunities to challenge your child’s mathematical knowledge, for example calculating best buys, calculating how many pots of paint to decorate a room etc.
• Encourage independence in repeated learning of unfamiliar topics and homework support via FROG.

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