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Mathematics

Co-Heads of Depatment: Mr M Balding & Mrs H Bray

Year 7 Maths Coordinator: Miss K Bridge

In Key Stage 3 Maths, the curriculum is broken into three termly modules, each containing a number, algebra, data and geometry element.  Towards the end of each term, pupils will sit a progress test in which they can demonstrate their mastery of the topics they have been learning. Throughout the year, pupils will continue to develop their problem-solving skills as well as their ability to reason and communicate mathematically. At Key Stage 4, study is structured around GCSE course content.

Core Equipment - All Years 

We would expect all pupils to have the following equipment. During assessments the department operates a zero tolerance policy and will not lend out any equipment.

Pen  –  Ruler  –  Rubber  –  Pair of compasses  –  Pencil  –  Scientific Calculator  –  Sharpener  –  Protractor

Year 7

The study of mathematics is vital to the fast-developing minds of Year 7 pupils. Mathematics is more than just arithmetic. It is about learning how to think and how to apply one’s mind in disciplined yet creative ways to solve problems. Our Year 7 curriculum has been developed to begin the process of giving pupils these thinking skills whilst providing the opportunity for pupils to develop and demonstrate mastery of key knowledge and skills, in order to lay the foundations for future success in mathematics.

Section

Course Content: Knowledge and Skills

Assessment :

Key pieces and dates

First 4 weeks

Students will complete a range of lessons including working in groups in Mathematics, demonstrating that there isn’t one way to solve a problem, sequences and ratios.

CAT and department baseline assessments will give an indication of the SoW choice for the student.

1

Number: Number skills including order of operations, place value and negative numbers. Investigating and discovering special properties of certain numbers.

Algebra: Expressions and manipulating algebra including using letters to represent numbers and simplifying expressions

Geometry: Angles and angle facts at a variety of levels from looking at angles along a straight line to angles in polygons of various sizes. Accurately drawing shapes using a ruler and a protractor. Developing an understanding of mathematical convention for labelling sides and angles.

An emphasis for this term will also be developing reasoning and mathematical communication.

End of topic homework

Progress test taken in early December.

The test is to access the students learning and understanding of the topics taught in the Autumn Term.

2

Number: Calculations including different methods of multiplication or division and rounding.

Algebra: Forming equations, looking at ways to solve them including using a number machine and writing the problem as a sentence.

Data Handling: Analysing data using averages and measures of how spread out the data is. At some levels this will include finding averages from data presented in frequency tables or graphs

Geometry: Area and perimeter of shapes, ranging from rectangles to compound shapes and then circles.

End of topic homework

Progress test taken in March.

The test is to access the students learning and understanding of the topics taught in the Spring Term.

3

Number: Fractions, decimals and percentages. Ratio and Proportion.

Algebra: Sequences including spotting patterns; filling in gaps and finding the rule to generate the sequence. Plotting coordinates onto a graph and plotting ones which follow a set rule with a view to looking at how this links in with straight-line graphs.

Data Handling: Starting to investigate probability ranging from words to describe likelihood, working out numerical probabilities and drawing diagrams to display all possible outcomes.

Geometry: Reflective and rotational symmetry, similarity, and a selection of the different transformations depending on the level of the pupil – from translations, reflections, rotations and enlargements.

End of topic homework

Progress test taken at end of June.

The test is to access the students learning and understanding of the topics taught in the Summer Term.

 

Groupings

Pupils are put into groups most suited to their ability within their first few weeks at Cambourne Village College. This is done normally based on KS2 SATs data and teacher assessment from primary school. For this year it will be based on the CATs assessment completed in September and teacher observations. Pupils in lower Mathematical ability groups are taught in smaller groups with more support available to them.

Whilst the expectation is that pupils will stay in their Maths groups for the year, groups are reviewed after each testing period and if a pupil is clearly working at a different rate to their peers, a move may be considered.

Homework Information

Approximately five homework tasks are set each half term; this equates to about one per week. A homework task should take approximately 30 minutes to complete.

Homeworks range from question and answer based homeworks, to activities set on  www.hegartymaths.com, investigations, posters or revision for an upcoming assessment. These may include end-of-topic homework sheets which are set at the discretion of the teacher.

Extended Study Information

The school subscribes to the Hegarty Maths website www.hegartymaths.com.

This resource can be used both to review learning done in classes but also to complete online homework on topics recently covered.

For a more open-ended selection of maths problems the nrich website may be useful: http://nrich.maths.org

If you click onto the ‘for pupils’ section you can find a selection of problems suitable for a variety of levels. Within live problems are tasks which are currently open for solution and for which pupils could submit their own solution – the website publishes the best solutions each month referencing the pupils who submitted these.

Visits / Extra-Curricular opportunities

UKMT – Junior Maths Challenge takes place during the academic year.

World Maths Day in March leads to an online competition which some groups may take part in during their Maths lessons. All pupils can follow this up at home; pupils should ask their teacher for their login near the time.

Year 8

 

Section

Course Content:  Knowledge and Skills

Assessment : Key pieces and dates

 

1

 

Number: Number skills including working with decimals, negative numbers, indices and prime factors.

Algebra: Expressions and manipulating algebra including substituting into expressions; expanding brackets; and at the higher end, working with indices.

Data Handling: Representing data using a variety of graphs suitable to the level of the students – pie charts, scatter graphs or stem and leaf diagrams leading into bar charts.

Geometry: Using angle facts and Pythagoras’ theorem to solve problems.  Standard constructions and loci.

 

End of topic homework.

Progress test done in late November/ early December.

 

2

 

Number: Learning to use a calculator well, thinking about accuracy and estimation. There will be an emphasis on using a calculator to solve multi-step problems. Understanding measures and some compound measures such as speed and density. 

Algebra:  Forming and solving equations and inequalities.

Data Handling: Analysing data, presented in a variety of ways, using averages and range.

Geometry: Perimeter and area of 2D shapes, including triangles, parallelograms, trapezia and circles.  Some groups will also focus on volumes and surface area of prisms.

 

End of topic homework.

Progress test is done in late March.

 

3

 

Number: Fractions, decimals and percentages. Working with fractions, performing operations with them and working out reciprocals. Working with percentages to look at how percentage increase and decrease can affect amounts.  Solving problems involving ratio and proportion.

Algebra: Different groups will look at different difficulties of sequences from linear and geometric to basic quadratic.  Using graphs to investigate straight lines.  Some groups will also look at real-life graphs.

Data Handling: Experimental probability and theoretical probability. Looking at compound events and how to display information, including using sample space diagrams.

Geometry:  A range of different topics depending on the level of the pupils including understanding similarity and congruency, carrying out transformations of shapes and investigating scale drawings.

 

End of topic homework.

Progress test is done in late June/ early July.

 

Groupings    

Pupils are put into groups most suited to their ability within the Maths schemes of work.  This is done based on the level which pupils have achieved in year 7 and on teacher assessment.  Pupils in lower ability groups are taught in smaller groups with more support available to them.

Whilst the expectation is that students will stay in their groups for the year, groups are reviewed after each assessment period and if a student is clearly working at a different rate to their peers, a move may be considered.

Teachers work very closely with teaching assistants in order to differentiate work appropriately. Further queries about SEND provision should be directed to the SENDCo

Homework Information

Approximately five homework tasks are set each half term; this equates to about one per week.  A homework task should take approximately 30 minutes to complete.  Homeworks range from question-and-answer based homeworks, to activities set on www.HegartyMaths.com, investigations, posters or revision for an upcoming assessment. These may include end-of-topic homework sheets, which will be found on ShowMyHomework and Microsoft Teams, although these are set at the discretion of the teacher.

Extended Study Information   

The school subscribes to the Hegarty Maths website:  www.HegartyMaths.com          

This resource can be used both to review learning done in classes but also to complete online homework on topics recently covered. 

All pupils are encouraged continually to practise their timetables to ensure fast and accurate recall.  A fun way to do this is through www.ttrockstars.com

For a more open-ended selection of maths problems the nrich website can prove useful: http://nrich.maths.org

If you click onto the ‘for students’ section you can find a selection of problems suitable for a variety of levels. Within live problems are tasks which are currently open for solution and for which pupils could submit their own solution – the website publishes the best solutions each month referencing the students who submitted these.

Visits /  Extra-Curricular opportunities 

UKMT Junior Maths Challenge takes place in the academic year. Other enrichment opportunities will be provided throughout the year. Examples from previous years include Christmas origami, Hurricane Houses project and MegaMenger.

Year 9

Section

Course Content:  Knowledge and Skills

Assessment : Key pieces and dates

 

1

Number: Working with decimals, negative numbers, indices, standard form and prime factors.

Algebra: Expressions and manipulating algebra including substituting into expressions; expanding brackets; working with indices and at the higher end, starting to look at quadratic equations.

Data Handling: Representing data using a variety of graphs suitable to the level of the pupils – two way tables, pie charts, scatter graphs or stem and leaf diagrams leading into bar charts.

Geometry: Using angle facts and Pythagoras’ theorem to solve problems.  Standard constructions and loci.  Introduction to trigonometry for some.

 

End of topic homework.

Progress test done in early December.

 

2

Number: Learning to use a calculator well, thinking about accuracy and estimation and how to use a calculator to solve multi-step problems. Understanding measures and some compound measures such as speed, density and pressure.  Practice of multiplication and division methods without a calculator.

Algebra:  Forming and solving equations and inequalities.

Data Handling: Analysing data, presented in a variety of ways, using averages and range.

Geometry: Perimeter and area of 2D shapes, including circles and sectors.  Volume and surface area of 3D solids, including prisms, pyramids, cones and spheres.

 

End of topic homework.

Progress test is done in late March.

 

3

Number: Calculations with fractions, decimals and percentages. Percentage amounts, increase and decrease including compound percentages. Solving problems involving ratio, direct and indirect proportion.

Algebra: Different groups will look at different difficulties of sequences from linear and geometric to basic quadratic.  Using graphs to investigate straight lines and tangents to curves. 

Data Handling: Experimental and theoretical probability. Looking at compound events and how to display information, including use of sample space diagrams, Venn diagrams, and probability trees.

Geometry:  A range of different topics depending on the level of the pupils including understanding similarity and congruency, carrying out transformations of shapes and investigating scale drawings.  Some groups will also be introduced to vectors.

 

End of topic homework.

Progress test is done in late June.

 

 

Groupings    

Pupils are put into groups most suited to their ability within the Maths schemes of work.  This is done based on the level which pupils have achieved in Year 8 and on teacher assessment.  Pupils in lower ability groups are taught in smaller groups with more support available to them.

Whilst the expectation is that pupils will stay in their groups for the year, groups are reviewed after each testing period and if a pupil is clearly working at a different rate to their peers, a move may be considered.

Teachers work very closely with teaching assistants in order to differentiate work appropriately. Further queries about SEND provision should be directed to the SENDCo.

Homework Information

Approximately five homework tasks are set each half term; this equates to about one per week.  A homework task should take approximately 40 minutes to complete.  Homeworks range from question-and-answer based homeworks, to activities set on www.HegartyMaths.co.uk , investigations, posters or revision for an upcoming assessment. These may include end-of-topic homework sheets, which will be found on ShowMyHomework, although these are set at the discretion of the teacher.

Extended Study Information   

The school subscribes to the HegartyMaths website:  www.HegartyMaths.com            

This resource can be used both to review learning done in classes but also to complete online homework on topics recently covered. 

All pupils are encouraged continually to practise their timetables to ensure fast and accurate recall.  A fun way to do this is through www.ttrockstars.com

For a more open-ended selection of maths problems the nrich website can prove useful: http://nrich.maths.org

If you click onto the ‘for pupils’ section you can find a selection of problems suitable for a variety of levels. Within live problems are tasks which are currently open for solution and for which pupils could submit their own solution – the website publishes the best solutions each month referencing the pupils who submitted these.

Visits /  Extra-Curricular opportunities 

UKMT Intermediate Maths Challenge takes place in the academice year.

Other enrichment opportunities will be provided throughout the year.  Examples from previous years include Christmas origami, Hurricane Houses project and MegaMenger.

Years 10 & 11

MATHEMATICS

Course Content

Pupils are assessed on their knowledge, reasoning skills and understanding of mathematical methods and concepts, including:

  • Number
  • Ratio and proportion
  • Algebra
  • Geometry
  • Measures
  • Statistics
  • Probability

Assessment

Pupils will complete three examinations at the end of Year 11, each 1.5 hours long.  There is no coursework for GCSE Mathematics.

The new GCSE uses numbers rather than letters for grades. Grade 9 is the highest available; Grade 1, the lowest. Pupils sit papers at one of two tiers:

Tier

Grades available

Higher

9-4

Foundation

5-1

Homework

Homework is set weekly, which will take between 30 to 60 minutes to complete, depending on the task set.

We will regularly assess pupils to monitor attainment and to adjust targets as necessary.  This assessment will continue to include end-of-term progress tests; homework for the preceding 1 to 2 weeks will be revision for the test.

STATISTICS

Course Content

GCSE Statistics helps pupils to develop a knowledge and understanding of:

 

  • Statistical thinking and practice:
  • Planning investigations, experiments and surveys with an appreciation of constraints
  • Data collection
  • Analysis and interpretation of data through calculations and statistical graphs
  • Probability
  • How to use statistics from the real world

Homework

Homework will be set weekly and will take about an hour.