# Mathematics KS3-5

Expectations in Mathematics are high. Pupils at ALL key stages are expected to be punctual to lessons, bring all necessary books and equipment to every lesson and complete class and homework tasks to a high standard.

KS3 Mathematics Mastery SOW

In year 7 and 8 we will ensure that all students achieve fluency in mathematics, thus developing a deep understanding of fundamental concepts and being able to recall and apply knowledge accurately. At KS3 the aim is teach fewer topics in greater depth, more time will be spent on one topic to secure thorough understanding of key concept.

The Mastery scheme of work starts in Year 7 and is built around the following principles:

• High Expectations every child will be challenged and pace of lessons will not drag
• Depth before breadth questioning the requires deeper understanding
• Number sense and place value first mastering foundation numeracy skills
• Problem solving is central more complex problem solving in the focus topic rather than moving on to the next topic

Students will study the following:

Year 7:

 Autumn Term Spring Term Summer Term Place Value & the Four Operations Geometry & Fractions Algebra, Percentages & Pie Charts UNIT 1 – Place Value of Numbers UNIT 2 – Addition of Whole Numbers. UNIT 3 – Subtraction of Whole Numbers UNIT 4 – Addition & Subtraction of Decimals UNIT 5 – Multiplication of Whole Numbers UNIT 6 – Multiplication of Decimals and Areas of Rectangles &                   Triangles UNIT 7 – Factors & Division of Whole Numbers & Decimals UNIT 8 – Reading Scales and scale drawings UNIT 9 – Angles and Angle Properties of Straight Lines UNIT 10 – Properties of Triangles UNIT 11 – Properties of Quadrilaterals UNIT 12 – 2D Shape in Rich Contexts UNIT 13 – Understand and Use Equivalent Fractions UNIT 14 – Fractions of Amounts UNIT 15 – Multiply and Divide Fractions UNIT 16 – Order of Operations UNIT 17 – Simplify & Evaluate Algebraic Expressions UNIT 18 – Algebraic Generalisations in Rich Contexts UNIT 19 – Pie Charts UNIT 20 – Percentages

Year 8:

 Autumn Term Spring Term Summer Term Number and Algebra 2D Geometry and Proportional Reasoning 3D Geometry and Statistics. UNIT 1 – Prime Numbers and Factorisation UNIT 2 – Calculating with Fractions and percentages UNIT 3 – Positive and Negative Numbers UNIT 4 – Sequences, Expressions and Equations UNIT 5 – Construction and loci Draw accurate triangles and                       quadrilaterals, find unknown angles. UNIT 6 – Length and Area- compound shapes, units,                                   parallelograms and trapeziums. UNIT 7 – Percentage Change UNIT 8 – Ratio UNIT 9 – Rounding, estimation and significant figures. UNIT 10 – Circumference and area of a circle UNIT 11 – 3D shapes and their nets. UNIT 12 – Surface area and volume of cuboid, prism, cylinder,                     composite solids.

Flipped learning

At Sacred Heart, we promote Flipped learning with our learners. This the process whereby students attempt to learn the topic before it is taught in school. For example a teacher might tell the class to look into a topic that they will start next week. One good way of doing this is watching a MathsWatch clip ahead of the lesson, and really promotes independent learning.

Numeracy Ninja Pupils each have a Ninjas book whereby they practice their mental arithmetic under timed conditions. Numeracy Ninjas is a numeracy intervention designed to fill gaps in students’ basic mental calculation strategies and also to empower them with the numeracy skills and fluency required to fully access GCSE Maths concepts when they move to Key Stage 4 study.  Pupils can see their improvements by the colour of the belt they are on, all the way up to Black Belt! Prizes will be given termly to those high achievers and most improved! ## Key Stage 4 - GCSE (Years 9, 10 & 11)

### KS4 SOW for Years 9-11

Pupils in year 9 and 10 will embark on the new GCSE specification for first teaching in 2015 as outlined below:

Edexcel Level 1/Level 2   GCSE (9 - 1) in Mathematics   (1MA1)

• All students take Maths GCSE at the end of the two or three year course.
• The exam is divided into three papers – two calculator and one non calculator. Each paper is offered at both Foundation and Higher level.
• Grades 1 to 5 are available at Foundation Tier.
• Grades 4 to 9 are available at Higher Tier
• The table below illustrates the topic areas covered in this qualification and the topic area and weightings for the assessment of each tier.

Topic Tier Weighting

FOUNDATION

Number

22-28

Algebra

17-23

Ratio, Proportion, and Rates of change

22-28

Geometry and Measures

12-18

Statistics and Probability

12-18

HIGHER

Number

12-18

Algebra

27-33

Ratio, Proportion, and Rates of change

17-23

Geometry and Measures

17-23

Statistics and Probability

12-18

Edexcel maths GCSE - first teaching September 2015

## Key Stage 5 (Years 12 & 13)

COURSE CONTENT:  AS LEVEL (Year 12) and A LEVEL (Year 13)

Pure Mathematics:

● Topic 1 – Proof
● Topic 2 – Algebra and functions
● Topic 3 – Coordinate geometry in the (x, y) plane
● Topic 4 – Sequences and series
● Topic 5 – Trigonometry
● Topic 6 – Exponentials and logarithms
● Topic 7 – Differentiation
● Topic 8 – Integration
● Topic 9 – Numerical methods
● Topic 10 – Vectors

Applied:
- Statistics

● Topic 1 – Statistical sampling
● Topic 2 – Data presentation and interpretation
● Topic 3 – Probability
● Topic 4 – Statistical distributions
● Topic 5 – Statistical hypothesis testing

- Mechanics

● Topic 6 – Quantities and units in mechanics
● Topic 7 – Kinematics
● Topic 8 – Forces and Newton’s laws
● Topic 9 – Moments

Entry Requirements:
Grade 7 or above in GCSE Mathematics is required due to the challenging nature of this course.

Assessment:
Students will take the AS level examination at the end of year 12 to determine whether they can continue with the course into year 13.  A satisfactory grade (minimum D) must be achieved to continue the course.

The AS consists of two externally examined papers.

Year 1 AS Level:                             Two examinations
Paper 1: Pure Mathematics 2hrs;
Paper 2: Statistics and Mechanics 1h15m

In year 13, students must sit three externally-examined papers based upon the course content for both years.  The AS result does not contribute towards the final grade.

Year 2 A Level:                             Three x 2 hour examinations (2 x Pure, 1 x Applied)

Career Value
Maths A Level is a highly respected course. The training in clear logical thinking is widely applicable to careers such as Law, Medicine, Engineering, Accountancy, and all the sciences. This is a fantastic A Level for students with a love and a talent for Mathematics.

## AS and A Level Further Mathematics

COURSE CONTENT:  AS LEVEL (Year 12) and A2 LEVEL (Year 13)

Core Pure Mathematics 1 and 2:
Proof, Complex numbers, Matrices, Further algebra and functions, Further calculus, Further vectors, Polar coordinates, Hyperbolic functions, Differential equations

Plus two modules from the following:

Further Statistics 1
Extends the work covered in A Level maths. Topics include Poisson and Chi-squared Distributions.

Decision Mathematics 1
Also referred to as Discrete Maths, Decision maths is closely linked to computing where students will study algorithms that computer programmers will use, such as critical path analysis.

Further Mechanics 1
Exrends the wrok covered in A Level maths. Topics include Momentum and Impulse, Elastic strings and collisions

Entry Requirements:
Grade 8 or above in GCSE Mathematics and an interview is required due to the very challenging nature and exceptionally high demands of this course.

Assessment:

Year 1 AS Level:                             Two examinations, 50% each

Paper 1: Core Pure Mathematics 1h40m;

Paper 2: Further Statistics 1 and Decision Mathematics 1 - 1h40m

Year 2 A Level:

4 external papers at the end of year 2:

Paper 1 and Paper 2 may contain questions on any topics from the Core Pure Mathematics 1 and 2 content.
Paper 3 & 4 may contain questions on any topics from the applied content.

Each assessment is 1 hour 30 minutes and is out of 75 marks, weighting at 25% each.