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Mathematics

Mathematics Staff
Mr K Anderson (Head of Team) kanderson@conyers.org.uk Mr J Downs jdowns@conyers.org.uk
Miss L Allanson lallanson@conyers.org.uk Mrs K Gray kgray@conyers.org.uk
Mrs A Beer abeer@conyers.org.uk Mrs S Perks sperks@conyers.org.uk
Mrs C Blakemoore cblakemoore@conyers.org.uk Mr A Robinson arobinson@conyers.org.uk
Mr P Dixon pdixon@conyers.org.uk Mr M Taylor mtaylor@conyers.org.uk
Mrs J White jwhite@conyers.org.uk Mrs J Wareing jwareing@conyers.org.uk
  • Key Stage 4
  • A Level Mathematics
  • A Level Further Mathematics
  • Year 7 Assessment
  • Year 8 Assessment
  • Year 9 Assessment
  • Year 10 Assessment
  • Year 11 Assessment
  • Year 12 & 13 Assessment

GCSE Maths

Introduction

Mathematics is not just about ‘working out calculations’, although that is an important aspect. Employers and colleges/universities want you to have GCSE Mathematics because it shows that you can think logically, see your way through a problem and deal with abstraction. It also shows that you can remember key facts and apply them to new situations/questions. These are important skills for almost any future career or course of study.

Skills

  • Apply mathematical knowledge and understanding to solve problems
  • Think and communicate mathematically – precisely, logically and creatively
  • Apply mathematical concepts to situations arising in their own lives
  • Acquire the skills needed to use technology such as calculators and computers effectively
  • Acquire a firm foundation for further study

Course structure

All students will follow an updated GCSE Mathematics course, with a strong emphasis on ‘functional’ skills. There will be regular end of topic reviews and termly internal assessments. The GCSE Mathematics course is linear, with an examination at the end of the course in Year 11.

Assessment

There is no coursework. There are two tiers, Foundation and Higher, and students will follow the course best suited to their ability. Assessment is via three papers, one non-calculator and two calculator, taken at the end of the course.

Exam Board: Edexcel

What is Mathematics?

Mathematics at A Level builds on the algebra and trigonometry you will have seen at GCSE, and then rapidly introduces new concepts such as calculus and logarithms. It is an essential or preferred subject for many degree courses, including Accounting, Architecture, Chemistry, Computing, Engineering, Natural Sciences and Physics. In addition to the 5 A*-C grades necessary to join Conyers Sixth Form, we would strongly recommend that you achieve at least a Grade 6 in Mathematics. A Level Mathematics is very challenging and demanding; therefore students with a genuine interest and enjoyment of the subject will find it easier to succeed and will enjoy the course. Due to the demanding nature of the course, students opting to take A Level Maths will be given summer work to complete which will help prepare them for a pre-course test in the first week of term. Students who do not pass this test will be placed on a support plan if following a discussion between the student, Mr Clayton and Mr Webster, it is decided they are to remain on the course.

Why study it?

Examining the jobs market and comparing earnings with subjects studied, it finds that Mathematics is the only A-level subject that adds to earnings – up to 10 per cent – even when the employer is unaware of the person’s qualifications. Graduates who have studied Mathematics earn more than those who have not, even when the job has nothing to do with Maths. Institute of Education University of London

The structure of the course

A Level Mathematics is a linear 2 year course. It will be assessed by 3 exams at the end of the 2 year course. The content of A level Mathematics is in the process of changing and providers including ourselves are waiting on final specifications to be approved. However, we do know the majority of the course still covers Core topics but all students will also have to study some Statistics and Mechanics in both years of the course.

Content – some of the topics covered:

Core

Algebra and functions; differentiation; integration; transformation of graphs; coordinate geometry; sequences and series; trigonometry; exponentials and logarithms; numerical methods for solving equations; vectors.

Statistics

Familiarity with a data set; Probability; sampling; data presentation and interpretation; binomial distribution; normal distribution; hypothesis testing.

Mechanics

Kinematics; forces and Newton’s laws; moments; projectiles.

What next?

Studying A Level Maths can be extremely valuable if you wish to pursue a career in the following:

  • Software development and computer games design
  • Engineering
  • Pharmaceutical and medical sciences
  • Financial services

Exam Board: Edexcel

What is Further Maths?

The Further Maths course results in two A-level qualifications: Maths, and Further Maths. Fifteen hours of teaching will be offered each two week cycle rather than the usual twenty hours normally allocated for two A-level courses. The course goes beyond the syllabus of the Maths A Level, to include topics seen at University such as complex numbers, matrices and mathematical proof. We would strongly recommend that you achieve at least a Grade 7 in GCSE mathematics if you wish to follow this course. Students must also be prepared to put in a great deal of independent study as this is a very challenging course and the fact you have fewer timetabled lessons will mean you won’t have as much direct contact with your teachers as you do for some other subjects.

Why study it?

Further Maths should be taken by anyone interested in taking a Mathematics based degree at university, such as Maths, Physics or Engineering. Although courses may not state Further Maths as an entry requirement, having this additional A Level can be a huge competitive advantage when applying.

The structure of the course

A Level Mathematics and Further Mathematics are linear 2 year courses. Both courses will be assessed separately by exams at the end of the 2 year course. As this results in 2 A level qualifications you will study the same content as A level Mathematics plus extra Further Mathematics topics. Some of the Further Mathematics topics are brand new; some extend upon the knowledge gained in A level Mathematics topics.

Content – some of the topics covered in Mathematics:

Core Algebra and functions; differentiation; integration; transformation of graphs; coordinate geometry; sequences and series; trigonometry; exponentials and logarithms; numerical methods for solving equations; vectors. Statistics Familiarity with a data set; Probability; sampling; data presentation and interpretation; binomial distribution; normal distribution; hypothesis testing. Mechanics Kinematics; forces and Newton’s laws; moments; projectiles.

Some of the topics covered in Further Mathematics:

Proof; complex numbers; matrices; further algebra and functions; further calculus; further vectors; polar coordinates; hyperbolic functions; differential equations…… Plus others to be confirmed.

What next?

Studying A-Level Further Maths can be extremely valuable if you wish to pursue a career in the following:

  • Scientific research
  • Computer science
  • Mathematical and statistical modelling
  • Engineering

Year 7 Assessment

Half Term 1

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 1: Numbers and the number system

Key vocabulary:

  • Factor
  • Multiple
  • Common factor
  • Common multiple
  • Square number
  • Square root
  • Triangular number
  • Cube number
  • Cube root
  • Prime number
  • Understanding place value
  • Multiplying and dividing by powers of 10
  • Understand and use negative numbers in context
  • Find common factors, common multiples, highest common factor and lowest common multiple
  • Recognise and recall square numbers, triangular numbers, cube numbers and prime numbers
  • Use a scientific calculator to calculate powers and roots

MathsWatch clip numbers:             

N1a, N1b, N10, N11, N17a, N18, N25, N27, N30b, N31a, N31b

MyMaths lessons:              

Factors and primes, Multiples, Lowest common multiple, Multiplying and dividing  by 10 and 100, Squares and cubes, Highest common factor

Unit 2: Visualising and constructing

Key vocabulary:

  • Regular
  • Polygon
  • Parallel
  • Perpendicular
  • Face
  • Edge
  • Vertex
  • Net
  • Use a protractor confidently
  • Construct 2d shapes accurately, given dimensions
  • Use conventional terms and notations for labelling and referring to sides and angles
  • Complete tessellations of given shapes
  • Recognise, describe and draw 3d shapes, including nets

MathsWatch clip numbers:

G1, G10, G12, G12a

MyMaths lessons:              

2D and 3D shapes, Nets of 3D shapes, Lines and quadrilaterals, Tessellations

Half Term 2

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 3: Calculating

Key vocabulary:

  • Multiply
  • Divide
  • Sum
  • Product
  • Integer
  • BIDMAS
  • Understand and use place value when working with very large or very small numbers, including decimals
  • Recall multiplication and division facts to 12×12
  • Use formal written methods for the four operations (+, -, x and ÷) with whole numbers and decimals
  • Understand the order of operations
  • Solve multi-step problems

MathsWatch clip numbers:             

N3, N4, N13, N14, N15, N16, N17, N20, N22, N28a, N28b

MyMaths lessons:              

Short and long multiplication, Short division, Multiply decimals by 10 and 100, Order of operations, More written methods

Unit 4: Investigating properties of shapes

Key vocabulary:

  • Parallel
  • Perpendicular
  • Acute
  • Obtuse
  • Reflex
  • Right angle
  • Scalene
  • Isosceles
  • Equilateral
  • Quadrilateral
  • Compare and classify shapes based on their properties (number of sides, types of angles etc)
  • Know the names of special triangles and quadrilaterals
  • Recognise properties of special triangles and quadrilaterals
  • Know the angle sum of a triangle = 180
  • Know the angle sum of a quadrilateral = 360
  • Find unknown angles in triangles, quadrilaterals and regular polygons

MathsWatch clip numbers:             

G1, G11, G13, G14, G16, G17, G19

MyMaths lessons:              

Properties of triangles, Angle reasoning, Sum of angles in a polygon

Assessment 1 (Units 1-4)

Unit 5: Counting and comparing

Key vocabulary:

  • Integer
  • Positive
  • Negative
  • Denominator
  • Improper fraction
  • Greater than (>)
  • Less than (<)

 

Order positive and negative integers
Order decimal numbers with up to 3 decimal places
Identify common denominator
Order a set of fractions
Convert between improper fractions & mixed numbers
Order set of numbers including mixture of fractions, decimals & negative numbers
Use the inequality signs to compare numbers
Make correct use of the symbols = and ≠

MathsWatch clip numbers:             

N2a, N2b, N18, N32, N34, N35

MyMaths lessons:              

Greater than and less than, Negative numbers 1, Ordering decimals, Starting to compare fractions, Improper and mixed fractions

Half Term 3

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 6: Understanding Risk

Key vocabulary:

  • Even chance
  • Impossible
  • Certain
  • Event
  • Outcome

 

  • Understand probability measures likelihood of something happening
  • Know and use the vocabulary of probability
  • Understand and use the 0-1 scale to measure probability
  • Place events on a probability scale
  • List outcomes for an experiment
  • Work out theoretical probability for events

MathsWatch clip numbers:

P1, P2, P3

MyMaths lessons:              

Probability intro, Simple probability

Unit 7: Calculating – Division 

Key vocabulary:

  • Divide
  • Remainder
  • Factor
  • Use knowledge of multiplication tables when dividing
  • Use short division (bus-stop method) to divide a four-digit number by a one-digit number
  • Identify when division is needed to solve a problem
  • Use division to divide a three-digit number by a two-digit number
  • Extend into decimals when dividing
  • Interpret a remainder when dividing
  • Use knowledge of place value to divide a decimal

MathsWatch clip numbers:             

N16, N28a, N28b

MyMaths lessons:              

Short division, Introducing long division, Long division, Divide decimals by whole numbers, Dividing a decimal by a whole number

Unit 8: Algebraic proficiency: tinkering

Key vocabulary:

  • Formula
  • Variable
  • Expression
  • Term
  • Simplify
  • Function
  • Input
  • Output
  • Use symbols to represent unknowns
  • Understand basic algebraic notation (eg 3a, a2 )
  • Substitute numbers into formulas
  • Identify like terms in an expression
  • Simplify an expression by collecting like terms
  • Given a function, evaluate inputs and outputs
  • Multiply a single term over a bracket

MathsWatch clip numbers:             

A2, A3, A4, A6, A7a, A8, A10, N26

MyMaths lessons:              

Simplifying 1, Function machines, Rules and formulae, Substitution 1

Unit 9: Exploring fractions, decimals and percentages

Key vocabulary:

  • Simplify
  • Equivalent
  • Factor
  • Divide
  • Percentage
  • Proportion
  • Know standard fraction/decimal/percentage equivalents
  • Simplify a fraction by cancelling common factors
  • Compare two fractions
  • Understand a fraction is a way to represent a division
  • Write any percentage as a fraction, in it’s simples form
  • Write a quantity as a percentage of another

MathsWatch clip numbers:             

N23a, N23b, N23c, N24a, N31, N35, N39a, N39b

MyMaths lessons:              

Simple equivalent fractions, Equivalent fractions, Fractions to Decimals, Frac dec perc 1

Half Term 4

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 10: Proportional reasoning

Key vocabulary:

  • Scale factor
  • Enlargement
  • Simplify
  • Factor
  • Use scale factor to complete an enlargement
  • Use ratio to describe comparison between two or more sets of objects
  • Simplify a ratio by cancelling common factors
  • Use the value of a single item to solve a comparison problem
  • Divide a quantity in a given ratio (part:part)
  • Divide a quantity in a given ratio (part:whole)
  • Convert between different units of measurement

MathsWatch clip numbers:             

R1, R4, R5a, R5b, G28

MyMaths lessons:              

Ratio introduction, Ratio dividing 1, Metric conversion

Assessment 2 (Units 1-10)

 Unit 11: Pattern searching

Key vocabulary:

  • Pattern
  • Sequence
  • Term
  • Ascending
  • Descending
  • Linear
  • Generate terms of a sequence from a given term-term rule
  • Describe a number sequence
  • Find the next term in a linear sequence
  • Find missing terms in a sequence
  • Use term-term rule for a non-linear sequence

MathsWatch clip numbers:             

A11a, N12

MyMaths lessons:              

Sequences, Arithmetic sequences, Geometric sequences 1

Unit 12: Measuring space

Key vocabulary:

  • Metric
  • Imperial
  • Length
  • Mass
  • Weight
  • Capacity
  • Volume
  • Millimetre
  • Centimetre
  • Metre
  • Kilometre
  • Litre
  • Gram
  • Kilogram
  • Use a ruler to measure accurately
  • Convert fluently between units of money
  • Convert fluently between units of time
  • Convert fluently between metric units of measure (Length, mass, capacity)
  • Know basic conversions between metric and imperial units
  • Convert between metric and imperial units
  • Solve problems involving the conversion between units

MathsWatch clip numbers:             

N7a, N7b, N7c, N8

MyMaths lessons:              

Money calculations, Converting measures, Imperial measures, Currency exchange

Unit 13: Investigating angles

Key vocabulary:

  • Degrees
  • Right angle
  • Acute
  • Obtuse
  • Reflex
  • Vertically opposite
  • Estimate the size of angles
  • Use a protractor to measure and draw angles accurately
  • Know that vertically opposite angles are equal
  • Find missing angles at a point or on a straight line
  • Find missing angles in geometrical diagrams
  • Solve angle problems using combination of facts
  • Explain reasoning using vocabulary of angles

MathsWatch clip numbers:             

G10a, G13, G14, G16

MyMaths lessons:              

Angle sums, Angle reasoning

Half Term 5

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 14: Calculating

Key vocabulary:

  • Negative
  • Power
  • Square
  • Cube
  • Indicies
  • Roots
  • Add/subtract using positive and negative numbers
  • Multiply and divide with negative numbers
  • Know how to square and cube negative numbers
  • Enter negative numbers into a calculator
  • Interpret calculator display when working with negative numbers
  • Substitute negative numbers into expressions
  • Use the correct order of operations including working with powers and roots

MathsWatch clip numbers:

N19a, N19b, N20

MyMaths lessons:

Order of operations, Negative numbers 2

Unit 15: Calculating fractions, decimals and percentages

Key vocabulary:

  • Percentage
  • Common multiple
  • Denominator
  • Mixed number
  • Proper fraction
  • Simplify
  • Increase
  • Decrease
  • Find 10% of a quantity
  • Use non-calculator methods to find the percentage (multiple of 5%) of an amount
  • Use a calculator to find any percentage of an amount
  • Add and subtract fractions and mixed numbers
  • Multiply and divide fractions and mixed numbers

MathsWatch clip numbers:

N24b, N32, N33, N36, N37, N41, N42a, N42b, R9b

MyMaths lessons:

Percentage of amounts 1, 2 and 3, Adding subtracting fractions, Multiply divide factions intro

 

Unit 16: Solving equations and inequalities

Key vocabulary:

  • Unknown
  • Solve
  • Equation
  • Inverse
  • Operation
  • Brackets
  • Substitute
  • Solving missing number problems expressed in words
  • Find all possible combinations of two variables that solve a missing number problem with two unknowns (eg a + b = 20)
  • Solve missing number problems expressed algebraically
  • Choose the correct inverse operation to solve a one-step equation
  • Solve two and three step equations
  • Solve equations with brackets
  • Check the solution to an equation using substitution

MathsWatch clip numbers:

A12, N26

MyMaths lessons:

Equations 1 – one step, Equations 2 – multi-step, Equations 4 – brackets

 

Half Term 6

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 17: Calculating space

Key vocabulary:

  • Perimeter
  • Area
  • Parallelogram
  • Trapezium
  • Volume
  • Surface area
  • Net
  • Volume
  • Cube
  • Cuboid
  • Know the meaning of perimeter, area, volume, capacity
  • Calculate the perimeter of 2d shapes
  • Understand the difference between perimeter, area and volume
  • Use standard units of measure for perimeter, area and volume
  • Know how to calculate the area of rectangles & shapes made from rectangles
  • Know how to calculate the area of parallelograms and triangles
  • Find missing lengths in 2d shapes when the area is known
  • Understand the meaning of surface area
  • Find the surface area and volume of a cuboid
  • Calculate the area of a trapezium

MathsWatch clip numbers:

G9, G20a, G20b, G20c, G20d, G21a, G21b

MyMaths lessons:

Perimeter, Area of rectangles, Area of parallelogram, Area of a triangle, Area of a trapezium, Volume of cuboids

END OF YEAR ASSESSMENT

Unit 18: Mathematical movement

Key vocabulary:

  • Coordinate
  • Origin
  • x-axis
  • y-axis
  • horizontal
  • vertical
  • Reflect
  • Rotate
  • Translate
  • Work with coordinates in all four quadrants
  • Reflect a shape in a horizontal or vertical line
  • Reflect a shape in a diagonal line
  • Understand and use lines parallel to the axes, y = x and y = -x
  • Describe a translation as a 2d vector
  • Carry out a rotation using a given angle, direction and centre of rotation
  • Describe a rotation using mathematical language
  • Find and name the equation of the mirror line for a given reflection

MathsWatch clip numbers:

G3, G4a, G4b, G5, G6, G7, A1b, A5

MyMaths lessons:

Rotating shapes, Reflecting shapes, Translating shapes

 

Unit 19: Presentation of data

Key vocabulary:

  • Frequency
  • Tally
  • Data
  • Pictogram
  • key
  • Bar chart
  • Pie chart
  • Sector
  • Interpret and construct tables, charts and diagrams
  • Interpret and construct frequency tables, including grouped data
  • Interpret and construct pictograms & simple bar charts
  • Interpret and construct comparative bar charts
  • Interpret and construct pie charts
  • Choose appropriate graphs or charts to represent data

MathsWatch clip numbers:

S1, S2, S3, S9

MyMaths lessons:

Frequency tables and bar charts, Pictograms and bar charts, Drawing pie charts, Reading pie charts

 

Year 8 Assessment

Half Term 1

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 1: Numbers and the number system

Key vocabulary:

  • Prime
  • Prime factor
  • Prime factorisation
  • Product
  • Venn diagram
  • Highest common factor
  • Lowest common multiple
  • Recall prime numbers up to 100
    Understand the meaning of prime factor
  • Write a number as a product of its prime factors
  • Use a Venn diagram to sort information
  • Know how to test for divisibility using mental and written methods
  • Solve worded problems using HCF and LCM
  •  Use prime factorisations to find the HCF and LCM of two numbers

MathsWatch clip numbers:

N30a, N30b, N31a, N31b

MyMaths lessons:

Factors and primes, Highest common factor, Lowest common multiple

Unit 2: Calculating fractions, decimals and percentages

Key vocabulary:

  • Mixed number
  • Equivalent fraction
  • Simplify
  • Cancel
  • Lowest terms
  • Proper fraction
  • Improper fraction
  • Top-heavy fraction
  • Percent
  • Percentage
  • Multiplier
  • Increase
  • Decrease
  • Use non-calculator method to find a percentage of an amount
  • Add and subtract proper fractions, improper fractions and mixed numbers
  • Multiply and divide proper and improper fractions and mixed numbers
  • Use calculators to find a percentage of an amount using multiplicative methods
  • Use calculators to increase (decrease) an amount by a percentage using multiplicative methods
  • Compare two quantities using percentages
  • Solve problems involving the use of percentages to make comparisons
  • Know that percentage change = actual change ÷ original amount
  • Calculate the percentage change in a given situation, including percentage increase / decrease

MathsWatch clip numbers:

N23b, N23c, N33, N35, N36, N37a, N37b, N39b, N41, N44, R9

MyMaths lessons:

Adding subtracting fractions, Multiplying fractions, Dividing fractions, Percentage of amounts 3, Percentage change 1

 

Unit 3: Measuring data

Key vocabulary:

  • Average
  • Spread
  • Mean
  • Median
  • Mode
  • Range
  • Find the mode, median and mean of set of data
  • Understand the range as a measure of spread (or consistency)
  • Calculate the range of a set of data
  • Interpret the mean as a way of levelling data
  • Use the mean to find a missing number in a set of data
  • Calculate the mean from a frequency table
  • Find the mode and median from a frequency table
  • Analyse and compare sets of data

MathsWatch clip numbers:

S6, S7, S10

MyMaths lessons:

Mean and mode, Median and range, Mean from frequency tables

 

Unit 4: Investigating angles

Key vocabulary:

  • Right angle
  • Acute angle
  • Obtuse angle
  • Reflex angle
  • Vertically
  • Opposite
  • Parallel
  • Alternate angles
  • Corresponding angles
  • Interior angle
  • Exterior angle
  • Regular polygon
  • Identify alternate angles and know that they are equal
  • Identify corresponding angles and know that they are equal
  • Establish the fact that angles in a triangle must total 180°
  • Know the total of the exterior angles in any polygon
  • Use the fact that angles in a triangle total 180° to work out the total of the angles in any polygon
  • Use knowledge of alternate and, corresponding to calculate missing angles in geometrical diagrams
  • Establish the size of an interior angle in a regular polygon
  • Establish the size of an exterior angle in a regular polygon

MathsWatch clip numbers:

G13, G17, G18, G19, G23

MyMaths lessons:

Angles in parallel lines, Interior exterior angles

 

Half Term 2

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 5: Checking, approximating and estimating

Key vocabulary:

  • Round
  • Decimal place
  • Check
  • Solution
  • Estimate
  • Significant figure
  • Be able to read and write numbers with at least 7 digits in them
  • Know how to round to the nearest integer or power of 10
  • Understand estimating as the process of finding a rough value of an answer or calculation
  • Know how to round to any number of decimal places
  • Know how to identify the first significant figure in any number
  • Approximate answers to calculations by rounding to the first significant figure in any number
  • Know how to round to significant figures
  • Use estimation to predict the order of magnitude of the solution to a (decimal) calculation
  • Use cancellation to simplify calculations
  • Use inverse operations to check solutions to calculations

MathsWatch clip numbers:

N27, N27a, N27b, N38, N43a, N43b

MyMaths lessons:

Rounding to 10 and 100, Rounding decimals, Decimal places, Solving problems by rounding, Significant figures, Estimation – introduction

Assessment 1 (Units 1-5)

Unit 6: Calculating

Key vocabulary:

  • Negative number
  • Directed number
  • Square
  • Cube
  • Power
  • Indices
  • Roots
  • Add or subtract from a negative number
  • Multiply with negative numbers
  • Divide with negative numbers
  • Add (or subtract) a negative number to (from) a positive or negative number
  • Know how to square (or cube) a negative number
  • Substitute negative numbers into expressions
  • Understand how to use the order of operations including powers along with negative numbers
  • Understand how to use the order of operations including roots along with negative numbers

MathsWatch clip numbers:

N19a, N19b, N20, A10

MyMaths lessons:

Negative numbers 2, Order of operations, Substitution 1

 

Unit 7: Visualising and constructing

Key vocabulary:

  • Similar
  • Similarity
  • Enlarge
  • Enlargement
  • Scaling
  • Scale factor
  • Centre of enlargement
  • Object
  • Image
  • Scale drawing
  • Bearing
  • Plan
  • Elevation
  • Know the vocabulary of enlargement
  • Find the centre of enlargement
  • Find the scale factor of an enlargement
  • Use the centre and scale factor to carry out an enlargement with positive integer (fractional) scale factor
  • Know and understand the vocabulary of plans and elevations
  • Interpret plans and elevations
  • Use the concept of scaling in diagrams
  • Measure and state a specified bearing
  • Construct a scale diagram involving bearings
  • Use bearings to solve geometrical problems

MathsWatch clip numbers:

G15, G28, R6, A1

MyMaths lessons:

Bearings, Plans and elevations, Scale drawing, Map scales, Enlarging shapes

Unit 8: Algebraic proficiency: tinkering

Key vocabulary:

  • Product
  • Variable
  • Term
  • Coefficient
  • Common factor
  • Factorise
  • Power
  • Indices
  • Formula
  • Formulae
  • Subject
  • Change the subject
  • Know how to write products algebraically
  • Simplify algebraic expressions by collecting like terms
  • Be able to expand a bracket and series of brackets; collecting like terms to simplify the resulting expression
  • Use fractions when working in algebraic situations
  • Identify common factors (numerical and algebraic) of terms in an expression
  • Factorise an expression by taking out common factors
  • Know the multiplication (division, power, zero) law of indices
  • Substitute positive and negative numbers into formulae
  • Simplify an expression involving terms with combinations of variables (e.g. 3a²b + 4ab² + 2a² – a²b)
  • Understand that negative powers can arise
  • Know the meaning of the ‘subject’ of a formula
  • Change the subject of a formula when up to two steps are required

MathsWatch clip numbers:

A6, A7a, A7b, A8, A9, A10, A13a, A13b

MyMaths lessons:

Simplifying 2, Single brackets, Factorising linear, Rearranging 1, Indices 1

Half Term 3

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 9: Exploring fractions, decimals and percentages

Key vocabulary:

  • Fraction
  • Mixed number
  • Top-heavy fraction
  • Percentage
  • Decimal
  • Proportion
  • Terminating
  • Recurring
  • Simplify
  • Cancel
  • Recall some decimal and fraction equivalents (e.g. tenths, fifths, eighths)
  • Write a fraction in its lowest terms by cancelling common factors
  • Use a calculator to change any fraction to a decimal
  • Write a decimal as a fraction
  • Identify when a fraction can be scaled to tenths or hundredths
  • Convert a fraction to a decimal by scaling (when possible)
  • Write a decimal as a percentage
  • Write a fraction as a percentage
  • Identify if a fraction is terminating or recurring

MathsWatch clip numbers:

N23b, N32, N35

MyMaths lessons:

Frac dec perc 2, Recurring decimals

Assessment 2 (Units 1-9)

Unit 10: Proportional reasoning

Key vocabulary:

  • Ratio
  • Proportion
  • Proportional
  • Multiplier
  • Speed
  • Unitary method
  • Units
  • Compound unit
  • Identify ratio in a real-life context
  • Write a ratio to describe a situation
  • Identify proportion in a situation
  • Understand the meaning of a compound unit
  • Solve problems involving speed
  • Know the connection between speed, distance and time
  • Understand the connections between ratios and fractions
  • Find a relevant multiplier in a situation involving proportion
  • Use fractions fluently in situations involving ratio or proportion
  • Identify when it is necessary to convert quantities in order to use a sensible unit of measure

MathsWatch clip numbers:

R1, R2, R8, R11a

MyMaths lessons:

Proportion introduction, Speed

 

Unit 11: Pattern searching

Key vocabulary:

  • Sequence
  • Linear
  • Term
  • Difference
  • Term-to-term rule
  • Position-to-term rule
  • Ascending
  • Descending
  • Generate a sequence from a term-to-term rule
  • Understand the meaning of a position-to-term rule
  • Use a position-to-term rule to generate a sequence
  • Find the position-to-term rule for a given sequence
  • Use algebra to describe the position-to-term rule of a linear sequence (the nth term)
  • Use the nth term of a sequence to deduce if a given number is in a sequence

MathsWatch clip numbers:

A11a, A11b, A11c

MyMaths lessons:

Arithmetic sequences, Generating sequences

 

Half Term 4

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 12: Calculating fractions, decimals and percentages

Key vocabulary:

  • Proper fraction
  • Improper fraction,
  • Mixed number
  • Simplify
  • Cancel
  • Lowest terms
  • Percent
  • Percentage
  • Percentage change
  • Original amount
  • Multiplier
  • (Simple) interest
  • Identify the multiplier for a percentage increase or decrease
  • Use calculators to increase (decrease) an amount by a percentage using multiplicative methods
  • Know that percentage change = actual change ÷ original amount
  • Recognise when a fraction (percentage) should be interpreted as a number
  • Recognise when a fraction (percentage) should be interpreted as a operator
  • Use calculators to increase an amount by a percentage greater than 100%
  • Solve problems involving percentage change
  • Solve original value problems when working with percentages
  • Solve financial problems including simple interest
  • Solve problems that require exact calculation with fractions

MathsWatch clip numbers:

R7, R9b, R12, N39a

MyMaths lessons:

Percentage change 1 and 2, Change as a percentage

Unit 13: Solving equations and inequalities

Key vocabulary:

  • Unknown
  • Equation
  • Operation
  • Solve
  • Solution
  • Brackets
  • Symbol
  • Substitute
  • Graph
    Point of intersection
  • Identify the correct order of undoing the operations in an equation
  • Solve linear equations with the unknown on one side when the solution is a negative number
  • Solve two-step equations (including the use of brackets) when the solution is a whole number
  • Solve linear equations with the unknown on both sides when the solution is a whole number
  • Solve linear equations with the unknown on both sides when the solution is a negative number
  • Check the solution to an equation by substitution
  • Solve linear equations with the unknown on both sides when the solution is a fraction
  • Solve linear equations with the unknown on both sides when the equation involves brackets

MathsWatch clip numbers:

A12, A17, A19a, A19b

MyMaths lessons:

Equations 2 – multistep, Equations 3 – both sides, Equations 4 – brackets

Unit 14: Calculating space

Key vocabulary:

  • Circle
  • Centre
  • Radius
  • Diameter
  • Chord,
  • Circumference
  • Pi
  • (Right) prism
  • Cross-section
  • Cylinder
  • Polygon
  • Polygonal
  • Solid
  • Calculate the volume of cuboids using side lengths
  • Find side lengths of cuboids given information about its volume or surface area
  • Know the vocabulary of circles
  • Know that the number π (pi) = 3.1415926535… and recall π to two decimal places
  • Know the formula circumference of a circle = 2πr = πd
  • Know the formula area of a circle = πr²
  • Calculate the circumference of a circle when radius or diameter is given
  • Calculate the area of a circle when radius or diameter is given
  • Calculate the radius (diameter) of a circle when the area is known
  • Calculate the radius (diameter) of a circle when the circumference is known
  • Know the formula for finding the volume of a prism
  • Calculate the volume of a prism
  • Calculate the area of composite shapes that include sections of a circle
  • Calculate the perimeter of composite shapes that include sections of a circle
  • Know the formula for finding the volume of a cylinder
  • Calculate the volume of a cylinder
  • Calculate the volume of composite shapes

MathsWatch clip numbers:

G2, G21a, G22a, G22b, G24, G25a

MyMaths lessons:

Circumference of a circle, Area of a circle, Volume of cylinders

Half Term 5

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 15: Algebraic proficiency: visualising

Key vocabulary:

  • Plot
  • Equation (of a graph)
  • Function
  • Formula
  • Linear
  • Coordinate plane
  • Gradient
  • y-intercept
  • Substitute
  • Quadratic
  • Piece-wise linear
  • Model
  • Kinematic
  • Speed
  • Distance
  • Write the equation of a line parallel to the x-axis or the y-axis
  • Draw a line parallel to the x-axis or the y-axis given its equation
  • Identify and draw the lines y = x and y = -x
  • Know that graphs of functions of the form y = mx + c, x  y = c and ax  by = c are linear
  • Plot graphs of functions of the form y = mx + c (x  y = c, ax  by = c)
  • Understand the concept of the gradient of a straight line
  • Find the gradient of a straight line on a unit grid
  • Find the y-intercept of a straight line
  • Distinguish between a linear and quadratic graph
  • Plot and interpret distance-time graphs (speed-time graphs)
  • Plot graphs of quadratic functions of the form y = x2  c
  • Plot and interpret graphs of piece-wise linear functions in real contexts
  • Sketch a linear graph and a simple quadratic graph
  • Find approximate solutions to kinematic problems involving distance and speed

MathsWatch clip numbers:

A5, A14, A15, A21a

MyMaths lessons:

Plotting graphs 1 and 2 – lines, Gradient and intercept, y=mx+c, Real life graphs, Distance time graphs, Plotting graphs 3 – quadratics

Unit 16: Understanding risk

Key vocabulary:

  • Experiment, Outcome, Event
  • Frequency tree
  • Venn diagram
  • Possibility space
  • sample space
  • Equally likely outcomes
  • Theoretical probability
  • Random
  • Bias
  • Fairness
  • Relative frequency
  • List outcomes of an event systematically
  • Use theoretical probability to calculate expected outcomes
  • List outcomes of an event using a two-way table and sample spaces
  • Calculate probabilities using two-way tables and sample spaces
  • Use frequency trees to record outcomes of probability experiments
  • Make conclusions about probabilities based on frequency trees
  • Construct theoretical possibility spaces for combined experiments with equally likely outcomes
  • Use experimental probability to calculate expected outcomes
  • Use ‘expectation’ probability to state an estimate of the number of times an event is likely to happen
  • List all elements in a combination of sets using a Venn diagram

MathsWatch clip numbers:

P2b, P4, P5, P6

MyMaths lessons:

Frequency trees, Venn diagrams 1, Listing outcomes, Probability revision

END OF YEAR ASSESSMENT

Half Term 6

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 17: Numbers and the number system

Key vocabulary:

  • Standard form
  • Significant figure
  • To be able to read and write numbers with at least 7 digits in them
  • Know how to round to the nearest integer or power of 10
  • Know how to round to any number of decimal places
  • Understand estimating as the process of finding a rough value of an answer or calculation
  • Know how to round to significant figure
  • Approximate answers to calculations by rounding to the first significant figure in any number
  • Write a large (small) number in standard form
  • Interpret a large (small) number written in standard form

MathsWatch clip numbers:

N27, N38, N45

MyMaths lessons:

Decimal places, Significant figures, Standard form large, Standard form small

Unit 18: Presentation of data

Key vocabulary:

  • Data
  • Discrete, continuous
  • Frequency table
  • Histogram
  • Scale
  • Axis
  • Axes
  • Scatter graph
  • Bivariate data
  • Positive correlation
  • Negative correlation
  • Plot a scatter diagram of bivariate data
  • Understand the meaning of ‘correlation’
  • Know the meaning of continuous data
  • Interpret and construct a grouped frequency tables for continuous data
  • Plot a frequency polygon
  • Interpret a scatter diagram using understanding of correlation
  • Construct histograms for grouped data with equal class intervals
  • Interpret histograms for grouped data with equal class intervals
  • Construct and use the horizontal axis of a histogram correctly

MathsWatch clip numbers:

S4, S5, S8

MyMaths lessons:

Grouping data, Frequency polygons, Scatter graphs

Unit 19: Measuring data

Key vocabulary:

  • Average
  • Mean
  • Median
  • Mode
  • Range, spread
  • Data
  • Calculate an estimate
  • Grouped frequency
  • Midpoint
  • Find the modal class of a set of grouped data
  • Find the midpoint of a class
  • Calculate an estimate of the mean from a grouped frequency table
  • Estimate the range from a grouped frequency table
  • Analyse and compare sets of data
  • Appreciate the limitations of different statistics (mean, median, mode, range)
  • Find the class containing the median of a set of data
  • Choose appropriate statistics to describe a set of data
  • Justify choice of statistics to describe a set of data

MathsWatch clip numbers:

S10

MyMaths lessons:

Median, Mode from frequency tables, Mean from frequency tables, Mean of grouped data 1

Year 9 Assessment

Half Term 1

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 1: Calculating

Key vocabulary:

  • Power
  • Root
  • Index
  • Indices
  • Standard form
  • Decimal place
  • Significant figure
  • Know the meaning of powers and roots
  • Calculate with roots and integer indicies
  • Know the multiplication and division laws of indices
  • Interpret a number written in standard form
  • Understand and use standard form to write numbers
  • Use standard form on a calculator
  • Add, subtract, multiply and divide numbers written in standard form
  • Calculate with negative indices in the context of standard form

MathsWatch clip numbers:

N25, N44, N45, N46

MyMaths lessons:

Higher powers, Indices 1, Indices 2, Standard form large, Standard form small

Unit 2: Investigating quadrilaterals

Key vocabulary:

  • Quadrilateral
  • Square
  • Rectangle
  • Parallelogram
  • (Isosceles) Trapezium
  • Kite
  • Rhombus
  • Delta
  • Arrowhead
  • Polygon
  • Regular
  • Irregular
  • Parallel
  • Diagonal
  • Angle
  • Classify 2D shapes using given categories; e.g. number of sides, symmetry
  • Know the definitions & properties of special quadrilaterals
  • Know the angle sum of a quadrilateral
  • Use angle sum and symmetry problems of special quadrilaterals to find missing angles
  • Apply the properties of quadrilaterals to solve problems
  • Construct quadrilaterals using protractor and ruler
  • Have strategies to find the area of any given quadrilateral
  • Know how to find the angle sum of any polygon
  • Know how to find the size of one angle in any regular polygon

MathsWatch clip numbers:

G1, G11, G14, G19

MyMaths lessons:

Lines and quadrilaterals, Angle sums, Angle reasoning, Sum of angles in a polygon

 

Unit 3: Visualising and constructing

Key vocabulary:

  • Compasses
  • Arc
  • Line segment
  • Perpendicular
  • Bisect
  • Perpendicular bisector
  • Locus
  • Loci
  • Plan
  • Elevation
  • Use compasses to construct clean arcs
  • Use ruler and compasses to construct the perpendicular bisector of a line segment
  • Use ruler and compasses to bisect an angle
  • Use a ruler and compasses to construct a perpendicular to a line from a point (at a point)
  • Understand the meaning of locus (loci)
  • Know how to construct the locus of points a fixed distance from a point (from a line)
  • Identify which construction is needed to solve a loci problem
  • Choose techniques to construct 2D shapes; e.g. triangles, rhombus
  • Construct a shape from its plans and elevations
  • Construct the plan and elevations of a given shape

MathsWatch clip numbers:

G26a, G26b, G26c, G27

MyMaths lessons:

Plans elevations, Constructing triangles, Constructing shapes, Drawing loci

 

Assessment 1 (Units 1-3)

Unit 4: Calculating fractions, decimals and percentages

Key vocabulary:

  • Mixed number
  • Equivalent fraction
  • Simplify
  • Cancel
  • Lowest terms
  • Proper fraction
  • Improper fraction
  • Top-heavy fraction
  • Vulgar fraction
  • Percent
  • Percentage
  • Multiplier
  • Increase
  • decrease
  • (Simple) interest
  • Use calculator and non-calculator methods to find a percentage of an amount
  • Add and subtract proper fractions, improper fractions and mixed numbers
  • Multiply and divide proper and improper fractions and mixed numbers
  • Use calculators to find a percentage of an amount using multiplicative methods
  • Use calculators to increase (decrease) an amount by a percentage using multiplicative methods
  • Solve problems involving the use of percentages to make comparison
  • Identify the multiplier for a percentage increase or decrease
  • Know that percentage change = actual change ÷ original amount
  • Calculate the percentage change in a given situation, including percentage increase / decrease
  • Solve original value problems when working with percentages
  • Understand the meaning of giving an exact solution
  • Solve problems that require exact calculation with fractions

MathsWatch clip numbers:

N23b, N23c, N24, N332, N33, N35, N36, N37a, N37b, N39, N41, N42, R9, R12

MyMaths lessons:

Adding subtracting fractions, Multiplying fractions, Dividing fractions, Percentages of amounts 3, Percentage change 1, Percentage change 2, Reverse percentages

 

Half Term 2

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 5: Algebraic proficiency: tinkering

Key vocabulary:

Inequality
Identity
Equivalent
Equation
Formula, Formulae
Expression
Expand
Linear
Quadratic

  • Know the difference between an equation and an identity
  • Manipulate expressions by collecting like terms, including those involving ‘x²’
  • Create an expression or a formula to describe a situation
  • Factorise linear expressions by removing common terms
  • Expand single brackets
  • Multiply two linear expressions of the form (x ± a)(x ± b)
  • Expand the expression (x ± a)²
  • Factorise a quadratic expression of the form x² + bx + c
  • Create a mathematical argument to show that two algebraic expressions are equivalent
  • Identify variables in a situation

MathsWatch clip numbers:

A6, A7a, A9, A17, A18

MyMaths lessons:

Single brackets, Factorising linear, Brackets, Factorising quadratics 1, Identities

Unit 6: Algebraic proficiency: visualising

Key vocabulary:

  • Plot
  • Equation (of a graph)
  • Function
  • Formula
  • Linear
  • Coordinate plane
  • Gradient
  • y-intercept
  • Substitute
  • Speed
  • Distance
  • Use conversion graphs to solve problems
  • Interpret real-life graphs
  • Calculate with simple speed-distance-time problems
  • Plot and interpret distance-time graphs (speed-time graphs)
  • Calculate speeds from a distance time graph
  • plot graphs of equations that correspond to straight-line graphs in the coordinate plane
  • Know that graphs of functions of the form y = mx + c, x ± y = c and ax ± by = c are linear
  • Plot graphs of functions of the form y = mx + c (x ± y = c, ax ± by = c)
  • Understand the concept of the gradient of a straight line
  • Find the gradient of a straight line on a distance-time graph and interpret its meaning

MathsWatch clip numbers:

A1b, A5, A14b, A14c, A21a, A21b, R11

MyMaths lessons:

Plotting graphs 2 – lines, y = mx + c, Distance time graphs, Real life graphs, Conversion graphs

Unit 7: Proportional reasoning

Key vocabulary:

  • Direct proportion
  • Inverse proportion
  • Multiplier
  • Linear
  • Congruent
  • Congruence
  • Similar
  • Similarity
  • Compound unit
  • Density
  • Population density
  • Pressure
  • Convert between units of length, capacity, mass and time
  • Understand the meaning of a compound unit
  • use compound units such as speed, density and pressure to solve problems
  • Know the difference between direct and inverse proportion
  • solve problems involving direct and inverse proportion
  • Plot the graph of a linear function and use it to solve proportion problems
  • Identify congruence (similarity) of shapes in a range of situations
  • Finding missing lengths in similar shapes

MathsWatch clip numbers:

R8, R11b, R13

MyMaths lessons:

Similar triangles, Converting compound measures, Speed, Density

Unit 8: Pattern searching

Key vocabulary:

  • Term
  • Term-to-term rule
  • Position-to-term rule
  • nth term
  • Generate
  • Fibonacci number
  • Fibonacci sequence
  • Linear
  • Quadratic
  • First (second) difference
  • Generate a linear sequence from its nth term
  • Find the nth term for an increasing or decreasing linear sequence
  • Substitute positive numbers into quadratic expressions
  • Recognise the Fibonacci sequence; generate Fibonacci type sequences
  • Know and use nth term rules associated with special sequences such as 2n, 2n-1, 2n, n² and n³ etc
  • Identify quadratic sequences; generate terms of a quadratic sequence
  • Establish the first and second differences of a quadratic sequence
  • Find the next three terms in any quadratic sequence
  • Find the term in x² for a quadratic sequence; compare the term in x² and the whole sequence
  • Find the nth term of a sequence of the form ax² + b
  • Find the nth term of a sequence of the form ax² + bx + c

MathsWatch clip numbers:

A10, A1c, A22, A23

MyMaths lessons:

Quadratic sequences, Generating sequences, Recognising sequences

Half Term 3

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Assessment 2 (Units 1-8)

Unit 9: Solving equations and inequalities

Key vocabulary:

  • (Linear) inequality
  • Unknown
  • Manipulate
  • Solve
  • Solution set
  • Integer
  • Solve linear equations including those with unknowns on both sides
  • Understand the meaning of the four inequality symbols
  • Choose the correct inequality symbol for a particular situation
  • Recognise a simple linear inequality
  • Represent practical situations as inequalities
  • Find the set of integers that are solutions to an inequality
  • Use a formal method to solve a basic inequality
  • Use a formal method to solve an inequality with unknowns on both sides
  • Use a formal method to solve an inequality involving brackets
  • Know how to deal with negative number terms in an inequality
  • Know when to use an open or filled circle at the end of a range of values shown on a number line
  • Know how to show a range of values that solve an inequality on a number line
  • Use a number line to find the set of values that are true for two inequalities
  • Use set notation to list a set of integers

MathsWatch clip numbers:

A20a, A20b, A27

MyMaths lessons:

Inequalities and intervals, Inequations

Unit 10: Calculating space

Key vocabulary:

  • Hypotenuse
  • Pythagoras’ theorem
  • Discover Pythagoras’ Theorem through measuring lengths of sides of right angled triangles
  • Know Pythagoras’ theorem
    Identify the hypotenuse in a right-angled triangle
  • Know when to apply Pythagoras’ theorem
  • Calculate the hypotenuse of a right-angled triangle using Pythagoras’ theorem
  • Calculate one of the shorter sides in a right-angled triangle using Pythagoras’ theorem
  • Solve real life problems using
  • Pythagoras’ Theorem (including the use of bearings)
  • Calculate missing distances in three dimensional objects through the application of Pythagoras’ Theorem

MathsWatch clip numbers:

G30

MyMaths lessons:

Pythagoras’ theorem, Pythagoras 3d

Half Term 4

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 11: Conjecturing

Key vocabulary:

  • Congruent
  • congruence
  • Similar (shapes)
  • Similarity
  • Hypotenuse
  • Conjecture
  • Derive
  • Prove
  • Proof
  • Counterexample
  • Know angle facts including angles at a point, on a line and in a triangle
  • Know angle facts involving parallel lines and vertically opposite angles
  • Know the properties of special quadrilaterals
  • Identify congruent triangles
  • Use known facts to create simple proofs
  • Know the criteria for triangles to be congruent (SSS, SAS, ASA, RHS)
  • Explain the connections between Pythagorean triples
  • Use known facts to form conjectures about lines and angles in geometrical situations
  • Use known facts to derive further information in geometrical situations
  • Test conjectures using known facts
  • Know the structure of a simple mathematical proof

MathsWatch clip numbers:

G31, R10

MyMaths lessons:

Similar triangles, Congruent triangles

Unit 12: Algebraic proficiency: visualising

Key vocabulary:

  • Function
  • Equation
  • Linear
  • Non-linear
  • Quadratic
  • cubic
  • reciprocal
  • Parabola
  • Asymptote
  • Gradient
  • y-intercept
  • x-intercept,
  • Root
  • Rate of change
  • Sketch
  • Plot
  • Kinematic
  • Speed
  • Distance
  • Time
  • Acceleration
  • Deceleration
  • Plot straight-line graphs
  • Interpret gradients and intercepts of linear functions graphically and algebraically
  • Use the form y = mx + c to identify parallel lines
  • Rearrange an equation into the form y = mx + c
  • Find the equation of a line through one point with a given gradient
  • Plot graphs of quadratic (cubic, reciprocal) functions
  • Recognise and interpret the graphs of quadratic (cubic, reciprocal) functions
  • Sketch graphs of quadratic (cubic, reciprocal) functions
  • Find the equation of a line through two given points
  • Interpret the gradient of a straight line graph as a rate of change
  • Plot and interpret graphs of non-standard functions in real contexts
  • Find approximate solutions to kinematic problems involving distance, speed and acceleration

MathsWatch clip numbers:

A14, A15, A28

MyMaths lessons:

Plotting graphs 2 – lines, y = mx + c, Equation of a line 3, Plotting graphs 3 – quadratics

Unit 13: Calculating

Key vocabulary:

  • Inequality
  • Truncate
  • Round
  • Minimum
  • Maximum
  • Interval
  • Decimal place
  • Significant figure
  • Round to a given number of decimal places or significant figures
  • Know the meaning of the symbols <, >, ≤, ≥
  • Identify the upper and lower bounds of a number correct to the nearest 10, 100 or 1000
  • Use bounds to solve simple problems
  • Identify the upper and lower bounds of an amount that has been rounded to the nearest integer, decimal place or significant figure
  • Use inequalities to describe the range of values for a rounded value
  • Solve problems involving the maximum and minimum values of an amount that has been rounded

MathsWatch clip numbers:

G29

MyMaths lessons:

Rounding and accuracy, Significant figures, Estimating calculations 1, Error intervals, Upper and lower bounds 1

Half Term 5

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 14: Solving equations and inequalities

Key vocabulary:

  • Equation
  • Simultaneous equation
  • Variable
  • Manipulate
  • Eliminate
  • Solve
  • Derive
  • Interpret
  • Solve linear equations
  • Understand that there are an infinite number of solutions to the equation ax + by = c (a ≠ 0, b ≠ 0)
  • Understand the concept of solving simultaneous equations by elimination
  • Target a variable to eliminate
  • Find approximate solutions to simultaneous equations using a graph
  • Decide whether addition or subtraction of equations is required
  • Add or subtract pairs of equations to eliminate a variable
  • Solve two linear simultaneous equations in two variables in very simple cases (no multiplication required)
  • Derive and solve two simultaneous equations
  • Interpret the solution to a pair of simultaneous equations
  • Decide if multiplication of one equation is required
  • Solve two linear simultaneous equations in two variables in simple cases (multiplication of one equation only required)

MathsWatch clip numbers:

A24a, A24b, A26

MyMaths lessons:

Solving simultaneous equations graphically, Simultaneous equations 1, Simultaneous equations 2

Unit 15: Understanding risk

Key vocabulary:

  • Outcome
  • Equally likely outcomes
  • Event
  • Independent event
  • Dependent event
  • Tree diagrams
  • Theoretical probability
  • Experimental probability
  • Random
  • Bias
  • Unbiased
  • Fair
  • Relative frequency
  • Use frequency trees to record outcomes of probability experiments
  • Use experimental and theoretical probability to calculate expected outcomes
  • List outcomes of combined events using a tree diagram
  • Label a tree diagram with probabilities
  • Know when to add two or more probabilities
  • Know when to multiply two or more probabilities
  • Use a tree diagram to calculate probabilities of independent combined events
  • Understand that relative frequency tends towards theoretical probability as sample size increases
  • Label a tree diagram with probabilities when events are dependent
  • Use a tree diagram to calculate probabilities of dependent combined events

MathsWatch clip numbers:

P7

MyMaths lessons:

The OR rule, Independent probability, Dependent events, Relative frequency

Half Term 6

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 16: Calculating space

Key vocabulary:

  • Circle
  • Pi
  • Radius
  • Diameter
  • Chord
  • Circumference
  • Arc
  • Tangent
  • Sector
  • Segment
  • (Right) prism
  • Cylinder
  • Cross-section
  • Know the vocabulary of circles
  • Know and use the number π
  • Know and use the formula for area and circumference of a circle
  • Know how to find arc length
  • Know how to find the area of a sector
  • Calculate the surface area of a right prism (cylinder)
  • Calculate the arc length of a sector when radius is given
  • Calculate the area of a sector when radius is given
  • Calculate the angle of a sector when the arc length and radius are known
  • Calculate exactly with multiples of π

MathsWatch clip numbers:

G2

MyMaths lessons:

Arcs and sectors, Volume of cylinders

END OF KEY STAGE ASSESSMENT

Unit 17: Presentation of data

Key vocabulary:

  • Categorical data
  • Discrete data
  • Continuous data
  • Grouped data
  • Axis
  • Axes
  • Time series
  • Trend
  • Compound bar chart
  • Scatter graph
  • Bivariate data
  • (Linear) Correlation
  • Positive correlation
  • Negative correlation
  • Line of best fit
  • Interpolate
  • Extrapolate
  • Know the meaning of discrete and continuous data
  • Interpret and construct frequency tables
  • Plot frequency polygons
  • Construct and interpret pictograms, bar charts, pie charts, tables and vertical line charts
  • Construct a line of best fit on a scatter diagram
  • Construct and interpret graphs of time series
  • Interpret a scatter diagram using understanding of correlation
  • Use a line of best fit to estimate values
  • Know when it is appropriate to use a line of best fit to estimate values
  • Interpret a wider range of non-standard graphs and charts

MathsWatch clip numbers:

S8

MyMaths lessons:

Grouping data, Scatter graphs, Line of best fit

Unit 18: Formal symmetries and reflections

Key vocabulary:

  • 2-D
  • Axis
  • Axes
  • x-axis
  • y-axis
  • Origin
  • Quadrant
  • (Cartesian) coordinates
  • Transformation
  • Translation
  • Reflection
  • Rotation
  • Object
  • Image
  • Congruent
  • Congruence
  • Use coordinates in all four quadrants
  • Carry out a reflection using one of the axes as a mirror line
  • Carry out a reflection using mirror lines parallel to the axes
  • Reflect a shape when the mirror line crosses the shape
  • State co-ordinates as a result of a reflection and/or a series of transformations
  • Carry out a reflection using diagonal lines
  • Find and name the equation of the mirror line for a given reflection
  • Predict co-ordinates of vertices following reflection in named lines
  • Identify line and rotational symmetry in polygons

MathsWatch clip numbers:

G3, G4a, G4b, G7, A1b, A4, A5, A14

MyMaths lessons:

Reflecting shapes, Lines of symmetry, Rotation symmetry, Translating shapes, Rotating shapes, All transformations

Year 10 Assessment

Half Term 1

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 1: Checking, approximating and estimating

Key Vocabulary

  • Approximate, Round
  • Decimal place
  • Estimate
  • Order of magnitude
  • Accurate, Accuracy
  • Significant figure
  • round numbers and measures to an appropriate degree of accuracy (e.g. to a specified number of decimal places or significant figures)
  • estimate answers; check calculations using approximation and estimation, including answers obtained using technology
  • recognise and use relationships between operations, including inverse operations (e.g. cancellation to simplify calculations and expressions)

MathsWatch clip numbers:

1, 2, 3, 21, 31, 32, 90, 91, 92

MyMaths lessons:

Decimal places, Significant figures, Estimating calculations1

Unit 2: Calculating fractions, decimals and percentages

Key Vocabulary

  • Mixed number
  • Equivalent fraction
  • Simplify, cancel, lowest terms
  • Proper fraction, improper fraction, top-heavy fraction, vulgar fraction
  • Percent, percentage
  • Multiplier
  • Increase, decrease
  • (Simple) interest
  • Exact
  • apply the four operations, including formal written methods, to simple fractions (proper and improper), and mixed numbers
  • solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison
  • interpret percentages and percentage changes as a fraction or a decimal, and interpret these multiplicatively
  • compare two quantities using percentages
  • interpret fractions and percentages as operators
  • work with percentages greater than 100%
  • solve problems involving percentage change, including original value problems, and simple interest including in financial mathematics
  • calculate exactly with fractions

MathsWatch clip numbers:

24, 25, 26, 40, 70, 71a, 71b, 72, 73, 74, 84, 85, 86, 87, 88, 89, 108, 109, 110, 111, 164

MyMaths lessons:

Adding subtracting fractions, Multiplying fractions, Dividing fractions, Percentages of amounts 4, Percentage change 1, Reverse percentages, Change as a Percentage

Unit 3: Measuring space

Key Vocabulary

  • Length, distance
  • Mass, weight
  • Volume, Capacity
  • Metre, centimetre, millimetre
  • Tonne, kilogram, gram, milligram
  • Litre, millilitre
  • Hour, minute, second
  • Inch, foot, yard
  • Pound, ounce
  • Pint, gallon
  • use standard units of measure and related concepts (length, area, volume/capacity, mass, time, money, etc.)
  • use standard units of mass, length, time, money and other measures (including standard compound measures) using decimal quantities where appropriate
  • change freely between related standard units (e.g. time, length, area, volume/capacity, mass) in numerical contexts
  • measure line segments and angles in geometric figures

MathsWatch clip numbers:

46a, 46b, 22a, 22b, 112

MyMaths lessons:

Time calculations, Units of length, Units of mass, Units of capacity, Metric conversion, Converting measures

Unit 4: Investigating properties of shapes

Key Vocabulary

  • Hypotenuse
  • Pythagoras’ theorem
  • Similar
  • Opposite
  • Adjacent
  • Trigonometry
  • Ratio
  • Sine
  • Cosine
  • Tangent
  • Angle of elevation
  • angle of depression
  • know the formulae for: Pythagoras’ theorem, a² + b² = c², and apply it to find lengths in right-angled triangles in two dimensional and three dimensional figures
  • make links to similarity (including trigonometric ratios) and scale factors
  • know the exact values of sin(θ) and cos(θ) for θ = 0°, 30°, 45°, 60° and 90°; know the exact value of tan(θ) for θ = 0°, 30°, 45° and 60°
  • know the trigonometric ratios, sin(θ) = opposite/hypotenuse, cos(θ) = adjacent/hypotenuse, tan(θ) = opposite/adjacent
  • apply it to find angles and lengths in right-angled triangles in two dimensional figures

MathsWatch clip numbers:

75, 81, 124, 150a, 150b, 150c, 124, 168, 173, 217

MyMaths lessons:

Pythagoras’ theorem, Pythagoras 3D, Trig missing angles, Trig missing sides

Assessment 1 (Units 1-4)

Unit 5: Numbers and the number system

Key Vocabulary

  • Prime
  • Prime factor
  • Prime factorisation
  • Product
  • Venn diagram
  • Highest common factor
  • Lowest common multiple 
  • Know the meaning of a prime number
  • Recall prime numbers up to 50
  • Write a number as a product of its prime factors
  • Use a Venn diagram to sort information
  • Solve worded problems using HCF and LCM
  • Use prime factorisations to find the highest common factor of two numbers
  • Use prime factorisations to find the lowest common multiple of two numbers

MathsWatch clip numbers:

28, 78, 79, 80

MyMaths lessons:

Factors and Primes, Highest common factor, Lowest common multiple

Half Term 2

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 6: Calculating

Key Vocabulary

  • Power, Root, Index, Indices
  • Standard form
  • Inequality, Truncate, Round
  • Minimum bound,
  • Maximum bound
  • Interval
  • Decimal place,
  • Significant figure
  • Limit
  • Know the meaning of powers & roots
  • Calculate with positive and negative powers
  • estimate powers and roots of any given positive number
  • interpret a number written in standard form
  • enter a calculation written in standard form into a calculator
  • calculate with roots, and with integer and fractional indices
  • apply and interpret limits of accuracy, including upper and lower bounds
  • calculate with standard form A × 10n, where 1 ≤ A < 10 and n is an integer

MathsWatch clip numbers:

29, 81, 82, 83, 91, 131, 132, 154, 155, 188, 206

MyMaths lessons:

Indices 1, Indices 2, Indices 3, Standard form large, Standard form small, Standard form calcs

Unit 7: Algebraic proficiency: tinkering

Key Vocabulary

  • Equivalent
  • Equation, Expression
  • Expand, Factorise
  • Linear, Quadratic
  • Algebraic Fraction
  • Difference of two squares
  • Binomial
  • use and interpret algebraic notation, including: a²b in place of a × a × b, coefficients written as fractions rather than as decimals
  • understand and use the concepts and vocabulary of factors
  • simplify and manipulate algebraic expressions by taking out common factors and simplifying expressions simplify and manipulate algebraic expressions involving algebraic fractions
  • manipulate algebraic expressions by expanding products of more than two binomials
  • simplify and manipulate algebraic expressions (including those involving surds) by expanding products of two binomials and factorising quadratic expressions of the form x² + bx + c, including the difference of two squares
  • manipulate algebraic expressions by factorising quadratic expressions of the form ax² + bx + c

MathsWatch clip numbers:

33, 34, 35, 93, 94, 134a, 134b, 157, 158, 192, 210a

MyMaths lessons:

Simplifying , Single brackets, Brackets, Factorising Linear, Factorising quadratics 1, Factorising quadratics 2

Unit 8: Mathematical movement

Key Vocabulary

  • Scale Factor
  • Similar
  • Axis, axes, x-axis, y-axis
  • Origin
  • Quadrant
  • Transformation
  • Reflection, Rotation
  • Translation
  • Vector Object
  • Image
  • Congruent, Congruence

 

  • understand and use lines parallel to the axes, y = x and y = -x
  • solve geometrical problems on coordinate axes
  • identify, describe and construct congruent and similar shapes including on coordinate axes, by considering rotation, reflection, enlargement (including fractional scale factors) and translation
  • make links between similarity and scale factors
  • describe the changes and invariance achieved by combinations of rotations, reflections, enlargements and translations

MathsWatch clip numbers:

8, 11, 12a, 12b, 48, 49, 50, 148, 182

MyMaths lessons:

Translating shapes, Reflecting shapes, Rotating shapes, Enlarging shapes, All transformations, Similar triangles

Unit 9: Solving equations and inequalities

Key Vocabulary

  • Algebraically
  • Graph Equation
  • Solve
  • Simultaneous equations
  • Point of intersection
  • Substitution, Elimination
  • Solution set, Interval
  • Iteration

 

  • solve linear equations with the unknown on both sides of the equation
  • find approximate solutions to simultaneous equations using a graph
  • find approximate solutions to equations numerically using iteration
    solve two linear simultaneous equations in two variables algebraically

MathsWatch clip numbers:

95, 100, 135a, 135b, 140, 162, 179, 180

MyMaths lessons:

Equations 3 – both sides, Equations 4 – brackets, Simultaneous equations 1 & 2, Solving sim equations graphically, Iterative methods

Half Term 3

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 10: Analysing statistics

Key Vocabulary

  • Categorical data, Discrete data, Continuous data, Grouped data
  • Axis, axes
  • Population, Sample
  • Cumulative frequency
  • Box plot, box-and-whisker diagram
  • Central tendency
  • Mean, median, mode
  • Spread, dispersion, consistency
  • Range, Interquartile range
  • Skewness
  • infer properties of populations or distributions from a sample, whilst knowing the limitations of sampling
  • construct and interpret diagrams for grouped discrete data and continuous data, i.e. cumulative frequency graphs, and know their appropriate use
  • interpret, analyse and compare the distributions of data sets from univariate empirical distributions through appropriate graphical representation involving discrete, continuous and grouped data, including box plots
  • interpret, analyse and compare the distributions of data sets from univariate empirical distributions through appropriate measures of central tendency including quartiles and inter-quartile range

MathsWatch clip numbers:

62, 63, 129, 130a, 130b, 152, 176, 186, 187

MyMaths lessons:

Sampling, Questionnaires, Frequency Polygons, Scatter graphs, Line of best fit, Cumulative frequency 1, Box and whisker plots

Unit 11: Proportional reasoning

Key Vocabulary

  • Ratio
  • Proportion(al)
  • Multiplier
  • Speed
  • Unitary method
  • Compound unit
  • Direct proportion
  • Inverse proportion
  • Multiplier
  • change freely between compound units (e.g. density, pressure) in numerical and algebraic contexts
  • use compound units such as density and pressure
  • interpret equations that describe direct and inverse proportion
  • recognise and interpret graphs that illustrate direct and inverse proportion
  • understand that X is inversely proportional to Y is equivalent to X is proportional to 1/Y

MathsWatch clip numbers:

38, 39, 41, 42, 105, 106, 142, 143, 199

MyMaths lessons:

Speed, Density, Converting compound measures, Direct proportion, Inverse proportion

Half  Term 4

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 12: Calculating space

Key Vocabulary

  • Circle, Pi
  • Radius, diameter, chord, circumference
  • (Right) prism, Cylinder
  • Cross-section
  • Polygon, polygonal
  • identify and apply circle definitions and properties, including:  tangent, arc, sector and segment
  • calculate arc lengths, angles and areas of sectors of circles
  • calculate exactly with multiples of π

MathsWatch clip numbers:

53, 54, 55, 56, 117, 149, 167

MyMaths lessons:

Circumference of a circle, Area of a circle, Arcs and sectors

Assessment 2 (Units 1-11)

Unit 13: Pattern searching

Key Vocabulary

  • Term
  • nth term
  • Generate
  • Quadratic
  • First (second) difference
  • Geometric Progression
  • generate terms of a sequence from either a term-to-term or a position-to-term rule
  • deduce expressions to calculate the nth term of linear sequences and quadratic sequences
  • recognise and use simple geometric progressions (rn where n is an integer, and r is a rational number > 0)
  • recognise and use Fibonacci type and quadratic sequences

MathsWatch clip numbers:

37, 102, 103, 104, 163, 213

MyMaths lessons:

Geometric sequences 1, Arithmetic sequences, Quadratic sequences, Recognising sequences

Unit 14: Solving equations and inequalities

Key Vocabulary

  • (Linear) inequality
  • Variable
  • Manipulate
  • Solve
  • Solution set
  • Integer
  • Set notation
  • Region
  • understand and use the concepts and vocabulary of  inequalities
  • solve linear inequalities in one variable
  • represent the solution set to an inequality on a number line solve linear inequalities in two variables
  • represent the solution set to an inequality using set notation and on a graph

MathsWatch clip numbers:

138, 139, 198

MyMaths lessons:

Inequalities and intervals, Inequations, Shading inequalities

Half Term 5

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 15: Calculating space

Key Vocabulary

  • Sphere, Pyramid, Cone
  • Perpendicular-height
  • Surface area, Volume
  • Congruent, congruence
  • Similarity, similar shapes, similar figures
  • Enlarge, enlargement
  • Scale factor

 

  • calculate surface area and volume of spheres, pyramids, cones and composite solids
  • apply the concepts of congruence and similarity, including the relationships between length, areas and volumes in similar figures

MathsWatch clip numbers:

114a, 114b, 115, 119, 144, 167, 170, 171, 172, 200

MyMaths lessons:

Nets, Surface area, Volume of prisms, Volume of cylinders, Volume of cones and spheres, Area scale factor, Volume scale factor

Unit 16: Investigating angles and conjecturing

Key Vocabulary

  • Radius, radii
  • Tangent
  • Chord
  • Conjecture
  • Derive
  • Prove, proof
  • Counter example
  • Congruent, congruence

 

  • understand and use alternate and corresponding angles on parallel lines
  • use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS)
  • apply angle facts, triangle congruence, similarity and properties of quadrilaterals to conjecture and derive results about angles and sides, including Pythagoras’ Theorem and the fact that the base angles of an isosceles triangle are equal, and use known results to obtain simple proofs
  • apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results

MathsWatch clip numbers:

120, 121, 122, 123, 166, 183, 184

MyMaths lessons:

Angles in parallel lines, Circle theorems, Congruent triangles

End of Year Assessment

Unit 17: Algebraic proficiency: visualising

Key Vocabulary

  • Function, equation
  • Sketch, plot
  • Linear, non-linear
  • Quadratic, cubic, reciprocal
  • Parabola, Asymptote
  • Gradient, y-intercept, x-intercept, root
  • Rate of change
  • Acceleration, deceleration
  • Parallel, Perpendicular
  • Radius, Tangent

 

  • identify and interpret gradients and intercepts of linear functions graphically
  • recognise, sketch and interpret graphs of linear functions and quadratic functions
  • use the form y = mx + c  to identify parallel and perpendicular lines
  • find the equation of the line through two given points, or through one point with a given gradient
  • recognise and use the equation of a circle with centre at the origin
  • find the equation of a tangent to a circle at a given point

MathsWatch clip numbers:

96, 97, 98, 99, 159a, 159b, 160, 161, 194, 197, 208

MyMaths lessons:

Plotting graphs 1 & 2 – lines, y = mx + c, Equations of a line 2, Plotting graphs 3 – quadratics, Equations of circles

Unit 18: Exploring fractions, decimals and percentages

Key Vocabulary

  • Fraction, Mixed number
  • Percentage change, percentage increase, percentage increase
  • Compound interest,
  • Simple interest
  • Terminating decimal, Recurring decimal
  • (Exponential) growth, decay
  • change recurring decimals into their corresponding fractions and vice versa
  • solve problems involving percentage change, including original value problems, and simple interest including in financial mathematics
  • set up, solve and interpret the answers in growth and decay problems, including compound interest

MathsWatch clip numbers:

76, 108, 109, 110, 111, 164, 177

MyMaths lessons:

Percentage change 1 & 2, Compound interest, Depreciation, Recurring decimals 1 & 2

Half  Term 6

Assessment Focus and Purpose Key Concepts/Skills Assessed Preparation/Key Areas to Revise

Unit 19: Understanding risk

Key Vocabulary

  • Outcome, equally likely outcomes
  • Event, independent event, dependent event
  • Tree diagrams
  • Theoretical probability, experimental probability
  • Random
  • Bias, unbiased, fair
  • Enumerate
  • Set
  • Conditional probability
  • Venn diagram
  • calculate the probability of independent and dependent combined events, including using tree diagrams and other representations, and know the underlying assumptions
  • enumerate sets and combinations of sets systematically, using tree diagrams
  • understand that empirical unbiased samples tend towards theoretical probability distributions, with increasing sample size
  • apply systematic listing strategies including use of the product rule for counting

MathsWatch clip numbers:

59, 60, 61, 125, 126, 127a, 127b, 151, 175, 185, 205

MyMaths lessons:

Venn diagrams 1, Venn diagrams 2, Probability revision, The OR rule, Independent probability, Dependent events

Unit 20: Solving equations and inequalities

Key Vocabulary

  • (Quadratic) equation
  • Factorise
  • Rearrange
  • Variable
  • Unknown
  • Manipulate
  • Solve
  • Deduce
  • x-intercept
  • Root
  • solve quadratic equations algebraically by factorising
  • solve quadratic equations (including those that require rearrangement) algebraically by factorising
  • find approximate solutions to quadratic equations using a graph
  • deduce roots of quadratic functions algebraically

MathsWatch clip numbers:

157, 192

MyMaths lessons:

Quadratic equations 1, Quadratic equations 2, Solving with graphs

Unit 21: Mathematical movement

Key Vocabulary

  • Vector
  • Scalar
  • Constant
  • Magnitude
  • apply addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic and column representations of vectors

MathsWatch clip numbers:

174, 219

MyMaths lessons:

Vectors 1

 

Half term 1

Half term 2

Half term 3

Half term 4

Half term 5

Half term 6

Year 11

 

Trial Exams

 

Mock Exams

External exams

 

Students also sit 6 practise exams throughout the year.

1 hour long. Sat in the classroom. Full papers. Corrections and completion of papers are done as ongoing homeworks

 

Half term 1

Half term 2

Half term 3

Half term 4

Half term 5

Half term 6

Year 12

Transition Tests

Interim Assessment

(Half Term 1 topics)

Trial Exams

Interim Assessment

(Half Term 3 topics)

Mock Exams

End of year exams

Year 13

Transition Tests

Interim Assessment

(Half Term 1 topics)

Trial Exams

Interim Assessment

(Half Term 3 topics)

Mock and External exams