# Mathematics

Students are taught in groups according to their KS2 SAT results.

Students will concentrate on work at the grades appropriate to their ability.

All students from year 7 through to year 11 are assessed against the mathematics departments grade descriptors.

### Tanfield Mathematics Department Grade Descriptors

The work is divided into five major areas:

- Number
- Algebra
- Geometry
- Ratio and Proportion
- Statistics

**Grade 1 means that I can:**

- Understand place value
- Order integers
- Order decimals
- Read scales
- Understand and use simple mathematical notation
- Interpret real-life tables
- Use basic algebraic conventions
- Use co-ordinates in all four quadrants
- Name and use simple geometric definitions
- Identify polygons
- Identify symmetries
- Identify tessellations and congruent shapes
- Name types of angles
- Use and understand the probability scale
- Interpret and draw tally charts and bar charts
- Interpret and draw pictograms

**Grade 2 means I can:**

- Add and subtract integers and decimals
- Multiply and divide integers
- Identify and use inverse operations
- Answer questions involving money
- Use negative numbers in real life situations
- Find equivalent fractions and simplify fractions
- Find and use half way values
- Find factors, multiples and primes
- Multiply and divide by powers of 10
- Round to decimal places and the nearest 10, 100 etc
- Simplify – Addition, subtraction, multiplication and division
- Use function machines
- Generate a sequence – term to term
- Understand and use, simple percentages, proportion and ratio – recipe questions
- Find the best value for money
- Recall properties of solids
- Identify and draw nets, plans and elevations
- Recall and use angle facts - on a line and at a point
- Measure and draw angles and draw a triangle using a protractor
- Reflect, rotate and translate an object
- Calculate perimeters and the areas of a rectangles, triangles, parallelograms and trapeziums
- Draw and use frequency trees
- List outcomes, calculate probabilities and mutually exclusive events
- Draw and interpret two – way tables
- Calculate averages and the range
- Understand data - discrete and continuous
- Draw and interpret vertical line charts, frequency tables and diagrams

**Grade 3 means that I can:**

- Multiply and divide decimals
- Recall and use the four rules of negatives and BIDMAS
- Compare, add, subtract, multiply and divide fractions
- Find a fraction of an amount and the reciprocal of a number
- Use a calculator effectively
- Find the product of primes, HCF and LCM
- Workout squares, cubes and roots
- Work with indices and standard form
- Understand and use the link between fractions, percentages and decimals
- Find a percentage of an amount and change to a percentage – calc/ non calc
- Round to significant figures, estimate answers and use place value
- Expand brackets and factorise simple expressions
- Substitute into an equation
- Draw and interpret straight line graphs and find the gradient of a line
- Draw quadratic graphs and sketch functions
- Solve equations and find the subject of a formula using flow charts
- Generate a sequence from the nth term and find the nth term
- Exchange money
- Share using ratio
- Ratios, fractions and graphs
- Increase/decrease by a percentage and calculate simple interest
- Find the percentage change and solve reverse percentage problems
- Recall and use metric conversions
- Solve problems on co-ordinate axes
- Calculate the surface area and volume of a prism and volume of a cuboid
- Calculate the area and circumference of a circle
- Recall and use facts for angles on parallel lines and in a triangle
- Recall and use properties of special triangles and angle sum of polygons
- Plot and read bearings
- Experimental probabilities
- Draw and interpret Venn diagrams, pie charts, scatter diagrams and possibility space diagrams
- Find averages from a table

**Grade 4 means I can:**

- Use index notation
- Identify error bounds
- Find and use the midpoint of a line on a graph
- Expand and simplify brackets and solve equations
- Rearrange simple formulae
- Form formulae and equations
- Read and plot inequalities on a number line
- Solve linear inequalities
- Solve simultaneous equations graphically
- Understand and use the Fibonacci sequence
- Use compound units
- Plot and interpret distance time graphs
- Recall and use the properties of similar shapes
- Bisect an angle and construct perpendiculars
- Draw a triangle using compasses
- Draw and interpret enlargements
- Identify and use tangents, arcs, sectors and segments
- Recall and use Pythagoras’ theorem
- Interpret and draw simple tree diagrams
- Sample populations
- Plot and interpret time- series graphs

**Grade 5 means I can:**

- Use negative indices
- Use error intervals
- Use mathematical reasoning
- Factorise and solve quadratics
- Find the difference of two squares
- Find the equation of a straight line
- Find roots and turning points of quadratics
- Draw and interpret cubic and reciprocal graphs
- Solve simultaneous equations algebraically
- Understand geometric progressions
- Calculate compound interest and depreciation
- Calculate compound interest and depreciation
- Use Loci
- Identify congruent triangles
- Use sectors of a circle
- Find missing sides and angles using Trigonometry
- Find surface area and volume of spheres, pyramids, cones and frustrums
- Recall and use exact trigonometric values
- Use simple vectors
- Draw and interpret harder tree diagrams
- Use stratified sampling

**Grade 6 means I can:**

- Convert recurring decimals to fractions
- Find the product of three binomials
- Solve equations using trial and improvement
- Use iterative processes
- Enlarge using negative scale factors
- Describe and draw combinations of transformations
- Recall and use circle theorems and proof of circle theorems
- Find the probability using Venn diagrams
- Draw and interpret Cumulative Frequency Curves
- Draw and interpret Boxplots

**Grade 7 means I can:**

- Use fractional indices
- Change recurring decimals to fractions with proof
- Rearrange difficult formulae
- Use the quadratic formula
- Factorise hard quadratics
- Use algebraic proof
- Use exponential functions
- Plot and interpret trigonometric graphs
- Transform functions
- Find and use the equation of a circle
- Identify regions
- Solve using direct and inverse proportion
- Use similarity to find area and volume
- Use the sine and cosine rules to find an angle or side
- Find the area of a triangle using sine
- Solve ‘and’ and ‘or’ probability questions
- Draw and interpret histograms

**Grade 8/Grade 9 means I can:**

- Find and use upper and lower bounds
- Simplify surds and rationalise the denominator
- Write and solve equations involving perpendicular lines
- Complete the square
- Simplify and solve algebraic fractions
- Solve simultaneous equations with a quadratic
- Solve quadratic inequalities
- Find the nth term of a quadratic
- Use inverse functions
- Use composite functions
- Plot and interpret velocity time graphs
- Use Pythagoras in 3D
- Use Trigonometry in 3D
- Find and use Vectors

**Homework**

Homework is set on a weekly basis and is used as an opportunity to revise and practice skills learnt during the week, it is expected to be completed on time and be of the same high quality seen in lessons.

Pupils can use the MyMaths & Mathswatch websites for extra revision and practice, as the work done on this site can be monitored by the student's staff.

Useful websites:

www.mymaths.co.uk

**Equipment**

It is expected that pupils will be equipped for all maths lessons with a pen, pencil and ruler.

Although we have some calculators in school it would be useful if the students had their own D.A.L. calculator, that they can get used to using before their exams.

### Key Stage 4

Mathematics and numeracy are vital and fundamental to everyday living hence Mathematics is studied by all students in Years 10 and 11. All students follow a course that will lead to GCSE. Students will be taught in sets according to their ability. Each set will be entered at an entry tier appropriate to the level of ability of the students in that set.

**The two entry tiers are:**

Higher - possible grades: 9, 8, 7, 6, 5 and 4

Foundation - possible grades 5, 4, 3, 2 and 1

Careful consideration is taken in the setting of students as students who fall below the lowest grade available at either tier will be Unclassified.

The G.C.S.E. course is linear, which is split into 3 papers which are sat at the end of the course.

Paper 1 is sat without the use of a calculator, whilst papers 2 & 3 are sat with the use of a calculator. We recommend ALL students purchase a D.A.L. calculator for use throughout the school. Students will experience a variety of teaching methods aimed at bringing the best out of all students regardless of gender, or ability.

Throughout Years 10 and 11 students will also sit internal tests at the end of each topic of work, for which they will be awarded an indication of their GCSE grade for that topic. Though these topic tests do not count towards their final grade it is expected that the students will revise thoroughly for them, as they will give a good indication of progress made.

Revision classes run throughout the school term and students are encouraged to come along to gain any extra help that they require.

**What kind of Jobs can I do with GCSE Mathematics?**

To enter the majority of jobs and vocational courses you will need at least five examination passes one of which may be expected to be in mathematics.

Some of the jobs that use mathematics are:

- Accountant Careers in banking/building society Architect
- Logistics Careers in buying/selling Economist
- Teacher Factory manager Croupier
- Shop keeper Careers in engineering Surveyor
- Marketing Careers in the insurance industry Statistician
- Astronomer Computer programmer Meteorologist
- Analysts Careers in the medical profession Builder

You could choose to go on to further education, where you will find that your mathematical knowledge gained at GCSE will be vital to supporting the work you are doing in other subjects at A-Level, particularly in Science and Engineering. Or you could continue to extend your mathematical knowledge by studying A-Levels in Mathematics, Statistics or further Mathematics.