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Mathematics

Maths Faculty

Miss G Ali- alig@denbigh.net
Mr R Bailey- baileyr@denbigh.net
Mrs R Battaglia- battagliar@denbigh.net
Miss A Bolt- bolta@denbigh.net
Mr T Briggs- briggst@denbigh.net
Mr J Burgess- burgessj@denbigh.net
Mrs J Burlace- julia.burlace@ousedale.org.uk
Dr A Frame- framea@denbigh.net
Mrs S Hawkins- hawkinss@denbigh.net
Miss K Hurdle- hurdlek@denbigh.net
Mrs S Irshan- irshans@denbigh.net
Mrs L Jaff- jaffl@denbigh.net
Ms H Ridout- ridouth@denbigh.net
Mr C Simm- simmc@denbigh.net
Mrs C Squires- squiresc@denbigh.net
Mrs J Werner- wernerj@denbigh.net

Faculty Introduction

The Mathematics Faculty comprises a team of specialist teachers and a Faculty administrator. The aims of the Faculty are:

  • To engender an enthusiasm and a passion for Mathematics in all students and provide them with the expertise to utilise their skills in a range of situations.
  • To provide a structure for students to develop independence, powers of analysis and logical thinking.
  • To foster a curiosity about Mathematics and its applications and an ability to make links between different strands.
  • To allow students the opportunity to learn from mistakes.
  • To ensure that all students fulfil their mathematical potential in terms of both formal examination results and more informal learning outcomes.

At present, each year group has the following number of lessons of Mathematics each week:

  • Years 7 and 8: Three lessons
  • Year 9 and 10: Four lessons
  • Year 11: Five lessons

Homework is set at least once a week for all year groups.

Key Words for Year 7 Mathematics – Spring

Key TermDefinition
ChanceThe likelihood that a particular outcome will occur.
ProbabilityThe chance that a particular outcome will occur.
EventA single result of an experiment.
RandomA selection that is chosen purely by chance.
Sample spaceAll the possible outcomes of an experiment.
BiasFavouring some outcomes over others.
OutcomeOne of the possible results of a probability experiment.
BaseA base number is a number that is being raised to a given power.
IndicesPlural of index, how many times the number are multiplied together.
PowerThe index value of a number:  For example: Square (power of 2), Cube (power of 3) of a number
AngleAn angle is the measurement of the turn between two intersecting rays. Angles are measured in degrees.
DegreesA measurement of an amount of turn. There are 360 degrees in a whole turn.
PercentageIs a number or ratio that can be expressed as a fraction of 100.
IncreaseTo make an amount larger.
DecreaseTo make an amount smaller.

Key Words for Year 8 Mathematics – Spring

Key TermDefinition
ChanceThe likelihood that a particular outcome will occur.
ProbabilityThe chance that a particular outcome will occur.
EventA single result of an experiment.
RandomA selection that is chosen purely by chance.
Sample spaceAll the possible outcomes of an experiment.
BiasFavouring some outcomes over others.
OutcomeOne of the possible results of a probability experiment.
BaseA base number is a number that is being raised to a given power.
IndicesPlural of index, how many times the number are multiplied together.
PowerThe index value of a number: For example: Square (power of 2), Cube (power of 3) of a number.
AngleAn angle is the measurement of the turn between two intersecting rays. Angles are measured in degrees.
DegreesA measurement of an amount of turn. There are 360 degrees in a whole turn.
PercentageIs a number or ratio that can be expressed as a fraction of 100.
IncreaseTo make an amount larger.
DecreaseTo make an amount smaller.

Year 7 – 11

Each set within each year will cover the same aspects of the curriculum but at varying paces throughout the year.  Therefore, they may not necessarily cover each one in the identified half term.

Autumn 1st half termIndices
Standard Form
Add/Subtract and BIDMAS
Substitution
Sequences
Working with Decimals
Autumn 2nd half termFactors
Expanding and Factorising
Solving Equations and Inequalities
Fractions
Rounding and Significant Figures
Probability
Spring 1st half termRoots and Surds
Percentages
Angles
Measures
Proportion, Ratio and Proportionality
Spring 2nd half termPythagoras
Scales and Similar Shapes
Trigonometry
Area and Volume
Circles
Summer 1st half termFunction Machines, Rearrangement and Proof
Plotting and Sketching Graphs
Real Life Graphs
Collecting and Representing Discrete Data
Interpretting Grouped Data
Summer 2nd half termPlans and 3D Shapes
Shape Properties, Congruence and Loci
Transformations
Vector Algebra

Year 12

Autumn 1st half termPure: Algebra 1
Mechanics: Vectors. Units and Kinematics

Argument and proof. Index laws. Surds. Quadratic functions. Simultaneous equations. Lines and circles. Inequalities. Definition and properties of vectors. Components of a vector. Standard units and basic dimensions. Motion in a straight line – definitions and graphs. Equations of motion for constant acceleration.
Autumn 2nd half termPure: Differentiation and Integration
Statistics: Collecting, Representing and Interpreting Data

Differentiation from first principles. Differentiating polynomials and Leibniz notation. Rates of change. Tangents and normals. Turning points. Integration Area under a curve.
Winter 1st half termPure: Polynomials and the Binomial Theorem
Mechanics: Kinematics. Forces and Newton’s Laws

Expanding and factorising. The binomial theorem. Algebraic division. Curve sketching. Motion with variable acceleration. Forces.
Winter 2nd half termPure: Exponentials and Logarithms
Statistics: Probability and Discrete Random Variables
Mechanics. Forces and Newton’s Laws.

The laws of logarithms. Probability. Binomial distribution. Dynamics. Motion under gravity. Systems of forces
Summer 1st half termPure: Exponential and Logarithms. Trigonometry
Statistics: Hypothesis Testing

Exponential functions. Exponential processes. Curve fitting. Sine, cosine and tangent. The sine and cosine rules. Formulating a hypothesis test. The critical region
Summer 2nd half termN/A

Year 13

Autumn 1st half termC3: Proof, Differentiation, Integration.
M1: Forces. Newton’s Laws of Motion, Vectors
Autumn 2nd half termC3: Integration. Numerical Methods Coursework.
M1: Vectors. Projectiles.
Winter 1st half termC3: Completion of coursework.
M1: General motion.
C4: Algebraic Fractions. Binomial Expansion. Parametric equations. Trigonometry
Winter 2nd half termC4: Parametric Differentiation. Further Integration. Further Vectors
Summer 1st half termC4: Differential Equations. Comprehension.
Revision.
Summer 2nd half termN/A

Extra Curricular

Every year our most able mathematicians take part in the National Maths Challenge and we often have students who are successful at the Challenge being entered for the follow up national events.  We offer after school support to all year groups.  The sessions are held in Maths classrooms and students can come and get help on a specific topic or help with homework.   Every year a cohort of students from Years 12 and 13 is offered the opportunity to attend the Open University Christmas Mathematic Lectures.