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Hilbre High School Humanities College

Hilbre High School
Humanities College

Mathematics

In the Mathematics Curriculum Area each student is considered as an individual in his/her own right.   Each student will be monitored individually to ensure maximum progress and we have the added support of a team of staff who work with groups or individuals in the classroom.

The main aim of the Mathematics Curriculum Area is progress for all students through an understanding and enjoyment of Mathematics. To support this there are a number of extra-curricular challenges available throughout the whole age range to supplement the learning that occurs in lessons.

We explain mathematics through practical work and situations that the students will understand. The use of attractive, well-illustrated materials, together with ICT based activities, allow the students to enter imaginatively into situations which embody mathematical ideas. The mathematics is related to the students' experience and we encourage all students to use and apply their mathematical ability.

In Years 7 and 8, students are taught in ability sets and will be closely monitored and assessed on a regular basis, the results of which may mean a change to the ability sets. In addition, all students will complete an end of year examination in order to further re-assess potential.

In Years 9, 10 and 11, students continue to be taught in ability sets all of which follow a GCSE syllabus. At the end of the GCSE course, all students will take an examination at either Foundation or Higher tier depending on their attainment throughout the course.

In the Sixth Form students follow both the AS and A2 MEI Mathematics modular course.

Key Stage 3

Term

Year 7 Mastery

Year 8 Mastery

Autumn

Place Value
Addition and Subtraction
Decimals
Multiplication
Area

Primes/Indices
Prime Factorisation
Venn Diagrams
Fractions
Negative Numbers
Equations
Sequences

Spring

Units of Measurement
Angles
Triangles and Quadrilaterals
Symmetry
Fractions

Construction
Angles Facts
Unit Conversions
Area
Percentage Change Ratio
Compound Measures

Summer 

Algebra
Order of Operations
Percentages
Handling Data

Significant Figures
Circles
3d Shapes
Volume
Data Collection
Averages and Range

Key Stage 4

Term

Year 9

Year 10

Year 11

Autumn

Module 2
Module 3
Module 4

Module 3
Module 4
Module 5

Module 3
Module 4
Module 5
Module 6
Module 7

Spring

Module 2
Module 3
Module 4

Module 3
Module 4
Module 5

Module 4
Module 5
Module 6
Module 7

Summer

Module 2
Module 3
Module 4
Module 5

Module 3
Module 4
Module 5
Module 6

Exam Preparation

 Key Stage 5

Term

Year 12

Year 13

Autumn

Core:

Unit 1: Algebra and Functions

Unit 2: Coordinate Geometry

Unit 3: Further Algebra
Stats and Mechanics:

Unit 1: Statistical Sampling

Unit 2a: Data presentation and interpretation

Unit 6: Quantities and Units in Mechanics

Unit 7a: Kinematics 1

Unit 2b: Data Presentation and Interperation

Unit 7b: Kinematics

Core:

Unit 3: Functions and Modelling

Unit 4: Series and Sequences

Unit 5: The binomial theorem

Unit 6: Trigonometry

Unit 7: Parametric EquationsStats and Mechanics:

Unit 1: Regression and Correlation

Unit 4: Moments

Unit 2: Probability

Unit 5: Forces at any angle

 Spring

Core:

Unit 4: Trigonometry

Unit 5: Vectors

Unit 6: Differentiation

Unit 7: Integration

 Stats and Mechanics:

Unit 3: Probability

Unit 4: Statistical Distributions

Unit 8a: Forces & Newton’s Laws

Unit 5a: Statistical Hypothesis

Unit 8b: Forces & Newton’s Laws

Core:

Unit 8: Differentiation

Unit 9: Numerical Methods

Unit 10: Integration

 

Stats and Mechanics:

Unit 3a: The normal distribution

Unit 6: Applications of Kinematics

Unit 3b: The normal distribution

Unit 7: Applications of Forces

Summer

Core:

Unit 8: Exponentials and Logs

A2: Unit 1: Proof

A2: Unit 2 Algebraic and Partial Fractions

Stats and Mechanics:

Unit 5b: Statistical and Hyptheisis Testing

Unit 9: Kinematics 2

Core:

Unit 12: Vectors (3D)

 Stats and Mechanics:

Unit 3c: The normal distribution

Unit 8: Further Kinematics

Resources

www.vle.mathswatch.com

www.mathsgenie.com

www.mathsbot.com

Support & Extra Curricular Opportunities
Lunch / After School Revision

Year 7 Mastery

Autumn 1

Prerequisites from KS2

•          Number bonds

•          Convert units

•          Money +/−

•          Measurement

Main Content

•          Place value (including decimals)

•          Add and subtract (including decimals)

•          Rounding

•          Perimeter

•          Mental strategies

Extension Content

•          Different counting systems or bases

•          Generalisation

•          Upper and lower bounds

 

Autumn 2

Prerequisites from KS2

•          Mental strategies

•          Multiplication facts

•          Multiplication strategies

•          Solve number problems

Main Content

•          Factors and multiples

•          Multiply and divide (including decimals)

•          Area of rectangle, triangle and parallelogram

•          Calculate the mean

•          Further mental strategies

Extension Content

•          Shikaku puzzles

•          Different counting systems or bases

•          Alternative methods of multiplication

•          Generalisation

 

Spring 1

Prerequisites from KS2

•          Lengths and units

•          Parallel and perpendicular

•          Work with angles

•          Division and the mean

Main Content

•          Draw and measure angles

•          Find unknown angles (straight lines, at a point, vertically opposite)

•          Properties of triangles and quadrilaterals

•          Unit conversions (linear)

•          Symmetry and tessellation

Extension Content

•          Tessellating triangles and quadrilaterals

•          Tangram investigations

•          Rigid shapes

 

 

 

Spring 2

Prerequisites from KS2

•          Equal parts

•          Factors and multiples

•          Tenths and hundredths

•          Word problems

•          Fractional areas

Main Content

•          Equivalent fractions

•          Compare and order fractions and decimals

•          Change mixed numbers to improper fractions and vice versa

•          Fraction of a quantity

•          Multiply and divide fractions

 

Extension Content

•          Terminating and recurring decimals

•          Fractions of tangrams

•          Shape block challenges

 

Summer 1

Prerequisites from KS2

•          Areas of rectangles and triangles

•          Number patterns

•          Algebraic notation

•          Triangle and quadrilateral properties

Main Content

•          Order of operations

•          Substitution

•          Form and simplify algebraic expressions

•          Expand over a single bracket, and factorise

•          Sequences (term-to-term, not nth term)

Extension Content

•          Four fours

•          Patterns and generalising

•          Algebraic mean questions

 

Summer 2

Prerequisites from KS2

•          Decimals and problem solving

•          Fractions of shapes

•          Equivalence

•          Order of operations

Main Content

•          Construct and interpret statistical diagrams including pie charts

•          Convert between percentages, vulgar fractions and decimals

•          Percentage of a quantity

•          Find the whole, given the part and the percentage

Extension Content

•          Comparing and converting between representations

•          Applications of percentages

 Year 8 Mastery 

Autumn 1

Prerequisites from Year 7

•          Factors, multiples and primes

•          Multiplication and division

•          Fraction equivalence and calculations

Main Content

•          Primes and indices

•          Prime factorisation, squares and cubes

•          Use of Venn diagrams to find LCM and HCF

•          Add and subtract fractions

Extension Content

•          Egyptian fractions

•          Continued fractions

•          HCF and LCM generalisation

 

Autumn 2

Prerequisites from Year 7

•          Problem solving with fractions

•          Order of operations

•          Form algebraic expressions

•          Substitution

Main Content

•          Order and calculate with negative numbers

•          Form and solve linear equations (unknowns on one side)

•          Use more complex algebraic expressions

•          Linear sequences: nth term

Extension Content

•          Explore non-linear sequences

•          T-totals

 

Spring 1

Prerequisites from Year 7

•          Angle types

•          Angle facts

•          Rectangle and triangle areas

•          ×/÷ by powers of 10

•          Problem solving with negative numbers

Main Content

•          Construct triangles and quadrilaterals

•          Calculate unknown angles (including parallel lines)

•          Unit conversions (including area)

•          Area of a trapezium

•          Areas and perimeters of composite figures

Extension Content

•          Similarity and ratio

•          Complex constructions

•          Simple angle proofs

 

Spring 2

Prerequisites from Year 7

•           Rounding

•          Bar modelling with factions

•          Fraction ×/÷

•          Bar modelling with equations

•          FDP equivalence

Main Content

•          Percentage increase and decrease, including multipliers

•          Reverse percentage problems

•          Ratio (equivalent, of a quantity) and rate

•          Scaling and multipliers

•          Speed, distance, time

Extension Content

•          Density

•          Area scale factors

•          Loan repayment

 

Summer 1

Prerequisites from Year 7

•          Rectilinear areas

•          Fraction +/−

•          Problem solving with fractions

•          Percentage increase and decrease

•          Substitution with negatives

Main Content

•          Use of significant figures and estimation

•          Circumference and area of a circle

•          Visualise and identify 3-D shapes and their nets

•          Volume of cuboid, prism, cylinder, composite solids

•          Surface area

Extension Content

•          Platonic solids

•          Percentage errors

•          Plans and elevations

 

Summer 2

Prerequisites from Year 7

•          Statistical diagrams

•          Ratio and rate

•          The mean

•          Calculator skills and rounding

Main Content

•          Collect and organise data, including surveys

•          Interpret and compare statistical representations

•          Mean, median and mode averages

•          The range and outliers

Extension Content

•          Misleading graphs

•          Equal width histograms

•          Sampling methods