# Maths

__MATHEMATICS At The Park ESC__

__KS3__

At KS3 students within our core provision receive two 60 minute lessons of Maths a week. The course is designed to fill any gaps students may have in their Maths education and to help prepare students for their return to mainstream school. The course is split into three terms with a a variety of topics being covered each term:

Topics:

**Number**

- Core Skills: written algorithms including work with decimals and indices
- Recognise and describe number patterns:
*continue sequences* - Recognise and describe number relationships including multiple, factors primes and square:

*5 is factor of 20, 20 is multiple of 5 and 5 squared is 25 and 5 is a prime number*

- Use place value to multiply and divide whole numbers by 10 or 100
- To be able to work confidently with fractions ie mixed numbers/improper fractions/ proper fractions
- To learn and use associated vocab ie integer and product etc

**Calculating**

- Use inverses appropriately:
*AxB=P so BxA=P, P/A=B and P/B=A* - Learn the Priority of operations: B. I. D. M. A. S
- Recall multiplication facts up to 12 × 12 and quickly and derive corresponding division facts: 6x?=72 So 72 divided 6 = ?
- Solve problems with or without a calculator:
*solve two step problems choosing appropriate operations, interpret calculator display of 4.5 as £4.50* - Use efficient written methods of addition and subtraction:
*column addition, subtraction*and of short multiplication and division

**Shape, Space and Measure**

- Use the properties of 2-D and 3-D shapes:
*recognise most quadrilaterals, all triangles, lines of symmetry* - Translate shapes horizontally or vertically and begin to rotate a simple shape or object about its centre
- Interpret, with appropriate accuracy, numbers on a range of measuring instruments:
*measure to within 2mm, measure acute and obtuse angles to nearest 2 degrees* - Find perimeters and areas of simple shapes

**Handling data and Using and applying mathematics**

- Collect, record and group discrete data:
*test a hypothesis about the frequency of an event* - Continue to use Venn and Carroll diagrams to record their sorting and classifying of information
- Construct and interpret frequency diagrams and simple line graphs:
*interpret simple pie charts, scale on bar graphs reading between the labelled divisions* - Understand and use the mode and range to describe sets of data:
*mode = most common, range = highest – lowest* - Understand the language of probability: Certain/ Impossible/ Even Chance. Record Probability using fractions and link to decimals

__KS4__

**Course:** Edexcel GCSE Maths

**Level:** GCSE

**Brief outline of course:**

Yr 10

__Topics__

**Number calculation and accuracy**

( I.E. Use of symbols <, >, __<__ , __>__ / Round numbers and measures using standard form / Interpret % change / Compare and order fractions decimals and percentages )

**Algebra**substitution/ Collecting like terms/ Solving simple equations**Number Theory**

(I.E. Know and use Primes / Prime Factors / Highest Common Denominator and Lowest Common Multiple / Integer Powers and Roots)

**Geometry**

(Solve perimeter and Area Problems with triangles and circles / Calculate surface area of cubes, cuboids and cylinders / Construct angle and line bisectors / Enlargement)

**Ratio**

(I.E. Scale factors/ Reduce ratios to simplest form / Percentage change Increase and Deacrease / Identify and classify shape using their properties)

**Probability**

Use of the probability scale and explore probability diagrams/ Record and describe outcomes of Probability experiments / Systematically process and analyse probabilities using tabular , grid and Venn diagrams

**Statistics**

Use and apply various methods for comparing data sets:

AVERAGES ; mean, mode , median and range and Percentages

**Yr 11 **

**Number**

- Structure and calculation
- Fractions, decimals and percentages
- Measures and accuracy

**Algebra**

- Notation, vocabulary and manipulation
- Graphing
- Solving equations and inequalities
- Sequences Nth term and Quadratic

**Ratio, proportion and rates of change**

**(**I.E length, area, volume/capacity, mass, time, money, know and apply formulae to calculate: area of triangles, parallelograms, trapezia; volume of cuboids and other prisms**)**

**Geometry and measures **

- Properties and constructions
- Using and applying properties of shape to classify and calculate areas of compound shapes including triangles circles and 3d shape

**Probability**

**(I.E. **analyse the frequency of outcomes of probability experiments and to use appropriate language and the 0 - 1 probability scale) appropriately

**Statistics**

**(I.E. **use and interpret scatter graphs and to interpret, analyse and compare the distributions of data**)**

**Course: **Functional Skills Maths

**Exam board: **City and Guilds

**Level: **Entry Level, 1 2 3; Level 1 and 2

The Edexcel maths Functional Skills qualifications are designed to develop the learner’s ability to represent situations using mathematics, analyse calculations, solve problems and interpret mathematics to explain situations

Exams can be taken at any age or time of year.

**Functional Skills Level 1 criteria: **

Representing using number

- Understand practical problems in familiar and unfamiliar contexts and situations.
- Identify and obtain necessary information to tackle the problem
- Select mathematics in an organised way to find a solution
- Analysing situations mathematically
- Apply mathematics in an organised way to find solutions to straightforward practical problems for different purposes.
- Use appropriate checking procedures at each stage
- Interpreting solutions to problems using mathematics
- Interpret and communicate solutions to practical problems, drawing simple conclusions and giving explanations