Curriculum-Mathematics – Yavneh College

Mathematics

Our curriculum across both KS3 and KS4 is driven by our vision:
‘Empowering our pupils, to give them a sense of both enjoyment of, and purpose in, mathematics.’

#gallery-1 { margin: auto; } #gallery-1 .gallery-item { float: left; margin-top: 10px; text-align: center; width: 25%; } #gallery-1 img { border: 2px solid #cfcfcf; } #gallery-1 .gallery-caption { margin-left: 0; } /* see gallery_shortcode() in wp-includes/media.php */

Through our adoption of the ‘Mastery’ approach, (which takes the content and principles of the National Curriculum and intertwines it with successful international education systems), we intend for pupils to become experts in each strand of learning we visit. We aim to secure a depth of understanding that engages and challenges. We incorporate building skills in an already knowledge rich curriculum. We aim to develop and apply problem solving skills through focussing on depth of the curriculum rather than acceleration through it. With depth will come the fluency of noticing relationships between topics, improving efficiency as well as developing reasoning skills. By including investigations and projects we want pupils to see the cross curricular links which exist and understand the practical and necessary use of these mathematical skills beyond the classroom. By empowering our pupils, the aim is to give them a sense of both enjoyment of, and purpose in, mathematics.

Key Stage 3

Mathematics Key Stage 3

Implementation

Our students secure this knowledge through the careful planning of our lessons and schemes of learning, all built and predicated on the expectations of the National Curriculum model. This is then also developed out further, to ensure a depth and breadth to the content that is covered.

Planning for lessons and schemes of learning is rooted in an understanding of Cognitive Science, with each and every lesson planned so that there are opportunities for:
Retrieval of prior learning via our Starter Booklets.
Exit tickets each unit.
Opportunities for paired classroom discussion using ‘Think/Pair/Share’ and a classroom climate where all pupils do contribute and share their ideas
Multiple choice hinge questions used to check whole class understanding.
Examples modelled and used as scaffolds to help all achieve mastery.
Challenge questions and tasks to give depth of understanding.

Impact

Ongoing assessment of learning in Maths is undertaken each lesson. It is also undertaken at the end of each unit, via low stakes assessments. This allows pupils to retrieve key skills they have learnt and identity their misconceptions.
Following assessments, we make sure pupils review topics that they found more challenging so that pupils can improve and develop their skills and understanding.

Y7 Intent

Over the course of Year 7, our students will study and learn the following:-

Topic/Study Focus	Knowledge/Skill focus
Sequences	Sequences KO
Understanding and Using Notation	Understand and use notation KO
Equality and equivalence	Equality & Equivalence KO
Place Value	Place Value KO
Fractions, decimals and percentages	Fractions, decimals & percentages KO
Addition and subtraction	Addition & Subtraction KO
Multiplication and division	Multiplication & Division KO
Fractions and percentages of an amount	Fraction & Percentage of amount KO
Directed Number	Directed Number KO
Fractional Thinking	Fractional Thinking KO
Constructions and measuring	Construction & Measuring KO

Y8 Intent

Over the course of Year 8, our students will study and learn the following:-

Topic/Study Focus	Knowledge/Skill focus
Geometric Reasoning	Geometric Reasoning KO
Sets & Probability	Sets and Probability KO
Prime Numbers & Proofs	Prime Numbers & Proofs KO
Ratio & Scale	Ratio & Scale KO
Multiplicative change	Multiplicative Change KO
Multiplying and dividing fractions	Multiplying and Dividing Fractions KO
Working in the cartesian equation	Working in the cartesian equation KO
Representing data	Representing Data KO
Tables and probability	Tables and Probability KO
Brackets, equations and inequalities	Brackets, Equations and Inequalities KO
Sequences	Sequences KO
Indices	Indices KO
Fractions and percentages	Fractions and Percentages KO
Standard Form	Standard Form KO

Key Stage 4

Y9 Higher Intent

Over the course of Year 9, our students begin to follow Edexcel GCSE Maths Specification and will study and learn the following:-

Topic/Study Focus	Knowledge/Skill focus
Rounding	Significant figures Estimating Upper and lower bounds
Fractions, decimals & percentages	Adding and subtracting fractions Multiplying and dividing fractions Converting Fractions, decimals and percentages Recurring decimals Four rules of decimals
Types of number	HCF & LCM Standard form BIDMAS Indices
Expressions and Formulae	Expand two single brackets Expand double brackets Factorising simple expressions Factorising quadratics Substituting into formulae Rearranging formulae
Pythagoras’	2D Pythagoras’
Perimeter, area and volume	Perimeter/Converting units Area Area of a circle Circumference of a circle Volume of prism Surface area of a prism Sectors
Angles	Angles in parallel lines Angles in polygons Constructing triangles Congruence Similar shapes
Statistics	Averages Scatter graphs Pie charts
Linear & Simultaneous equation	Equations in context Simultaneous equations Inequalities on a number line Solving inequalities
Graphs	Drawing graphs Solving simultaneous equations graphically Finding gradient Equation of a line Quadratic graph
Sequences	Linear sequences Quadratic sequences
DST	Distance, speed & time Distance Time Graph Flow graphs
Ratios	Ratios Exchange rate
Probability	Probability Sample space Frequency trees Venn diagrams

Y9 Foundation Intent

Over the course of Year 9, our students begin to follow Edexcel GCSE Maths Specification and will study and learn the following:-

Topic/Study Focus	Knowledge/Skill focus
Rounding and standard form	Multiply and divide by powers of 10 Standard form Rounding
Fractions	Equivalent and simplifying fractions Adding and subtracting fractions Multiplying and dividing fractions Fraction of an amount
Types of number	Factors, multiples and primes HCF & LCM Square and square roots Indices Negative numbers BIDMAS
Expressions and formulae	Collecting like terms Expand a single bracket Expand two single brackets Substituting into formula Forming algebraic expressions
Area and Perimeter	Perimeter Area Circumference of a circle Area of a circle
Angles & 2D Shapes	Basic angle rules Angles in triangles and quadrilaterals Angles in parallel lines
FDP	Converting fractions, decimals and percentages
Whole number & decimal calculations	Ordering decimals Adding and subtracting decimals Multiplying with decimals Division with decimals Calculator work
Statistics	Frequency tables Bar charts Pie charts Mean Median Range Stem and leaf diagrams Scatter diagrams
Equations	Solving one step equations Solving two step equations solving equations with unknown on both sides
Graphs	Coordinates Drawing straight line graphs Solving simultaneous equations graphically
Sequences	Sequences
Probability	Probability

Y10 Higher Intent

Over the course of Year 10, our students begin to follow Edexcel GCSE Maths Specification and will study and learn the following:-

Brackets & quadratic equations	Expand two single brackets Expand double brackets Expand triple brackets Factorising simple expressions Factorising quadratics Difference of two squares Factorising quadratics where a > 1 Solving quadratics by factorising
Fractions & recurring decimals	Adding and subtracting fractions Multiplying and dividing fractions Converting Fractions, decimals and percentages Recurring decimals
Trigonometry	Pythagoras’ Trigonometry
Linear & Simultaneous equations	Solving linear equations Simultaneous equations
Angles	Angles in parallel lines Angles in polygons Circle theorems
Indices	Indices Indices with algebra
Straight line graphs & Inequalities	Drawing straight line graphs Equation of a line Parallel lines Perpendicular lines Interpreting graphs Midpoint of a line Linear inequalities Inequalities and regions
HCF, LCM & Standard Form	HCF & LCM Standard form
Area & Volume	Area Arcs & Sectors Volume of prisms Surface area of prisms Cones, spheres and pyramids Density

Non-linear graphs	Quadratic Graphs Solving simultaneous equations graphically Cubic graphs Reciprocal graphs Quadratic inequalities
Decimals, estimating & rounding	Adding and subtracting decimals Multiplying decimals Dividing decimals Significant figures Estimation Calculator use Upper and lower bounds Error intervals Truncation
Statistics	Pie Charts Frequency polygon Scatter graphs Combined mean Averages from frequency tables Histograms Box plots and cumulative frequency
Sequences	Linear sequences Quadratic sequences Geometric and Fibonacci sequences Recurrence relations Iterations
Transformations	Reflection Rotation Translation Enlargement Describing transformations Invariant points
Percentages	Percentage increase/decrease Percentage change Reverse percentages
Formulae	Writing formulae Rearranging formulae Substituting into formulae

Y10 Foundation Intent

Over the course of Year 10, our students begin to follow Edexcel GCSE Maths Specification and will study and learn the following:-

Brackets	Collecting like terms Expand a single bracket Expand two single brackets Expand double brackets Factorising simple expressions
Fractions	Equivalent and simplifying fractions Adding and subtracting fractions Multiplying and dividing fractions
Pythagoras’	Pythagoras’
Equations	1 step equations 2 step equations Unknown on both sides
Angles	Basic angle rules Angles in triangles and quadrilaterals Angles in parallel lines Angles in polygons
Indices	Indices Indices with algebra
Graphs	Drawing straight line graphs Equation of a line Parallel lines Interpreting graphs Midpoint of a line
Rounding, estimating and decimals	Adding and subtracting decimals Multiplying with decimals Division with decimals Rounding Significant figures Estimating Upper and lower bounds Calculator work
HCF & LCM	Factors, multiples and primes HCF & LCM
Area & Perimeter	Area of triangles, rectangles and parallelograms Area of trapeziums Area of compound shapes Area of a circle Circumference of a circle Area of sector Length of arc

Statistics	Pie Charts Scatter graphs Mean Mode Median Range Averages from frequency tables Stem and leaf diagrams
Sequences	Linear Sequences Fibonacci Geometric
FDP	Fraction, decimal & percentage conversion Percentage of an amount Percentage increase/decrease Reverse percentage Percentage change
Ratio & Proportion	Equivalent and simplifying ratios Ratio problems Scale drawings Bearings Best buys Exchange rates Proportion
Transformations	Reflection Rotation Translation Enlargement Describing transformations

Y11 Higher Intent

Over the course of Year 11, our students begin to follow Edexcel GCSE Maths Specification and will study and learn the following:-

Surds	Simplifying surds Expanding brackets with surds Rationalising surds
Quadratics	Completing the square Quadratic formula Quadratic simultaneous equations Equation of a circle
Pythagoras’, Trigonometry & Constructions	Pythagoras’ 3D Trigonometry 3D Bearings Scale drawings Constructions Congruency Similar shapes Loci Nets, plans and elevations Volume of a frustum
Probability	probability Tree diagrams Venn diagrams Combinations Capture/recapture
Ratio & Proportion	Ratio Direct and inverse proportion Algebraic direct and inverse proportion
Algebraic fractions & Functions	Simplifying algebraic fractions Multiplying and dividing algebraic fractions Adding and subtracting algebraic fractions Solving algebraic fractions Functions
Further Graphs & Further Trigonometry	Trigonometric graphs Exact trig values Sine and cosine rule Area of non right angled triangles Exponential graphs Transformation of graphs Gradient of a curve Area under a curve Distance time graphs Velocity time graphs
Vectors	Vectors
Proofs	Algebraic proof Ggeometric proof

Y11 Foundation Intent

Over the course of Year 11, our students begin to follow Edexcel GCSE Maths Specification and will study and learn the following:-

Quadratics	Factorising quadratics Difference of two squares Solving quadratics
Simultaneous Equations	Simultaneous equations Solving simultaneous equations graphically
Trigonometry	Trigonometry Exact Trig Values
3D Shapes and Constructions	Bearings Scale drawings Construction Loci Nets Plans and elevations Nets
Volume & Surface area	Volume of a prism Surface area of a prism
Standard Form	Adding and subtracting in standard form Multiplying and dividing in standard form
Compound Measures	Converting metric units Distance, speed, time Distance time graphs Density Pressure Real life graphs
Similar Shapes	Similar shapes Congruency
Fractions	Multiplying and dividing algebraic fractions Adding and subtracting algebraic fractions Solving algebraic fractions Functions
Non-linear graphs	Quadratic graphs Cubic graphs Reciprocal graphs Conversion graphs Solving simultaneous equations graphically
Inequalities	Inequalities on a number line Solving inequalities
Vectors	Describing and drawing vectors Colum vectors

Yavneh College Academy Trust

Tel: 020 8736 5580
admin@yavnehcollege.org
trustees@yavnehcollege.org

Company Registration Number
07643712 (England & Wales)

Opening Hours
8am-4pm: Monday to Thursday
8am-1.30pm: Friday

Yavneh College

Hillside Avenue
Borehamwood
Hertfordshire
WD6 1HL

School Contacts

Executive Headteacher
Mr S Lewis BA (Hons) MA NPQH

Honorary President
Mr Benjamin Perl MBE

School Rabbi
Rabbi Alex Chapper

Trust Contacts

Chair of Yavneh College Academy Trust
Mrs Roz Levin

Chair of Yavneh College Local Governing Body
Mrs Susy Stone

Chair of Yavneh Primary Local Governing Body
Mrs Roz Levin

Chair of Yavneh Foundation Trust
Mr Richard Gilbert

Mathematics

Our curriculum across both KS3 and KS4 is driven by our vision: ‘Empowering our pupils, to give them a sense of both enjoyment of, and purpose in, mathematics.’