Mathematics - Redhill School
←
→
Page content transcription
If your browser does not render page correctly, please read the page content below
Mathematics
5 Year Curriculum Plan
Teaching and Learning INTENT for English at Redhill School:
Our aim in mathematics is to provide a broad curriculum that builds upon prior knowledge, stretches pupils’
understanding and creates mathematical thinkers. Pupils will become methodical and logical in their working and be
effective problem solvers whilst developing functional skills for real life scenarios.
All Foundation Stage pupils follow the same programme of study ensuring key skills from KS2 are consolidated and
extended, building confidence and security with key threshold concepts vital for future challenge.
One lesson out of seven in Year 7 focuses on numeracy skills; developing a true understanding of vital concepts for
later manipulation and a second on encouraging problem solving via exposure to rich tasks.
In Year 9 pupils join a tiered pathway as they move closer to GCSE. New, more complex concepts are
taught, developed and interweaved in order to fully prepare pupils for the demands of their examinations. Pupils will
become increasingly confident and proficient in applying mathematical concepts to various scenarios, drawing on a
developed skill set and problem-solving approaches.
Developing Cultural and Social Capital:
Vital mathematical skills such as basic arithmetic, percentages, area etc are linked to real life scenarios wherever
possible to highlight the importance of being able to calculate cost, change, discounts etc in day to day life as well as
cross-curricular links made.
Softer skills developed include an ability to think and work systematically as well as strategies to problem solve when
required.
Year 7 Mathematics at Redhill School:
The Year 7 programme of study aims to strike a balance between ensuring key threshold concepts are secure and can
be applied and manipulated successfully whilst maintaining the continuity of challenge. We use KS2 data received
from Primary schools alongside our own internal testing to ensure that our approach remains flexible and reactive to
pupil needs. Alongside the units of study listed below, there is a planned programme of retrieval practice and
extended learning. This will allow pupils to regain confidence in content taught in primary school, and to bridge any
gaps that may have developed during lockdown.
Year 7 Units of Study:
Lines and Angles: Measuring and drawing angles. Calculating angles in straight lines, points, triangles and
quadrilaterals
Number Skills: Addition, subtraction, multiplication, division. Negative numbers. Factors, multiples and
primes. Squares, square roots & triangle numbers
Expressions, functions & formulae: Function machines, Simplifying and writing expressions, writing
expressions and formulae, Substituting into formulae
Decimals & Measures: Rounding. Length, mass and capacity. Scales and coordinates. Calculating with
decimals. Perimeter & area
Sequences and Graphs: Coordinates. Naming and plotting straight-line graphs. Generating and extending
sequences (pattern & numerical). Position-to-term rules
Fractions & Percentages: Comparing fractions. Simplifying fractions. Mixed numbers/improper fractions.
Add & subtract fractions. Convert between fractions and decimals. Convert percentages to
fractions/decimals. Multiplying and dividing fractions
Percentages of amounts
Ratio & Proportion: Direct proportion. Writing and simplifying ratios. Dividing into a ration. Scales and
measures. Using fractions and percentages to represent proportion.
Year 7 Return Curriculum:
Our return curriculum aims to cover key threshold concepts in depth, giving pupils a strong
base on which to continue their learning of Mathematics. The distribution of topics throughout the year allows time for pupils to explore the links
between different areas of Mathematics and gives time to develop problem solving and
reasoning skills alongside procedural fluency.
Alongside the units of study listed below, there is a planned programme of retrieval practice
and extended learning. This will allow pupils to regain confidence in content taught in
primary school, and to bridge any gaps that may have developed durin g lockdown.
Numeracy skills lessons (2 per fortnight) also give capacity for staff to work with students on
identified areas of weakness.
Staff will work to build pupils confidence in their mathematical abilities, aiming to foster a
love and enjoyment of the subject throughout their school career.
Year 8 Mathematics at Redhill School:
Our Year 8 programme of study simultaneously aims to recall and retrieve areas of Year 7 focus building additional
stretch and challenge whilst introducing some new mathematical concepts.
As a department, we aim to focus on ensuring that the delivery of topics aims to build a conceptual understanding
rather than just a procedural approach where a rule is memorised, to ensure that skills can be applied in a variety of
problem-solving scenarios. This skill is developed by exposure to non-standard questions/ detailed problems to
encourage pupils to choose the right approach for a given question, building independence and resilience vital
for success at GCSE.
Year 8 Units of Study:
Ratio & Proportion: Direct proportion. Writing and simplifying ratios. Dividing into a ration. Scales and
measures. Using fractions and percentages to represent proportion.
Powers and Roots: Index notation. Brackets and substitution. Multiples and factors. Prime factor
decomposition.
Sequences and Graphs: Coordinates. Naming and plotting straight-line graphs. Generating and extending
sequences (pattern & numerical). Position-to-term rules
Fractions & Percentages: Comparing fractions. Simplifying fractions. Mixed numbers/improper fractions.
Add & subtract fractions. Convert between fractions and decimals. Convert percentages to
fractions/decimals. Multiplying and dividing fractions. Percentages of amounts.
Expressions and Equations: Algebraic powers. Expressions and Brackets. Factorising expressions. One and
two step equations using the balance method. More complex equations.
Analysing Data: Mode, median and range. Displaying data. Grouping data. Averages and comparing data.
Line graphs and bar charts. Pie charts. Using tables.
Area and Volume: Area of a triangle. Area of a parallelogram and trapezium. Area of Compound Shapes.
Volume of cubes and cuboids. 3D shapes. Surface area of cubes and cuboids. Problems and measures.
Calculating with Fractions: Adding and subtracting fractions. Multiplying fractions. Fractions decimals and
reciprocals. Dividing fractions. Calculating with mixed numbers.
Percentages, Fractions and Decimals: Fractions and decimals. Equivalent proportions. Writing percentages.
Percentages of amounts. Solving financial problems.
Transformations: Congruency and enlargements. Symmetry. Reflection. Rotation. Translations and
combined transformations.
Year 8 Return Curriculum:
Our 2020-21 Year 8 programme of study simultaneously aims to recall and retrieve areas of Year 7 focus
building additional stretch and challenge whilst introducing some new mathematical concepts.
Emphasis has been shifted to topics that provide a direct steppingstone to topics that will be taught in year 9,
ensuring that pupils with begin their GCSE course with all the required prior knowledge.
Year 7 content that formed part of home learning during lockdown has been highlighted to staff, alongside
topics that would have been covered in year 7 but were not covered in home learning. These topics all
feature in the year 8 programme of study, so we are not reliant on home learning having been completed.
Where a teacher identifies that home learning was completed to a high standard during lockdown, further
opportunity for stretch and challenge will be provided.
Retrieval practice and extended learning will also provide opportunity for pupils to further consolidate topics
taught in year 7 or apply and extend skills where necessary.Year 9 Mathematics at Redhill School:
Our Year 9 programme of study begins to bridge the gap into more complex mathematical concepts by
building additional challenge onto secure building blocks developed during the Foundation Stage. Whilst
new content is being taught, consolidated, and applied to various problems, the curriculum aims to
interweave topics together in mixed problems to prepare for the challenge of worded GCSE problems. A
detailed retrieval pathway runs alongside planned objectives to ensure that pre-requisites and previously
taught content is not lost.
Year 9 Units of Study:
FOUNDATION
Decimals / Indices / Standard Form / Expanding & Factorising Basics / Angle Calculations / Angles in Parallel Lines &
Polygons / Tables, Charts & Graphs / Pie Charts & Scatter Graphs / Sequences / Substitution / Solving Equations inc
Forming / Inequalities / Arithmetic with Fractions / FDP Calculations / Percentages/ Area & Perimeter/ Surface Area /
Ratio
HIGHER
Rounding and Estimation / Indices / Standard Form / Surds / Expanding & Factorising Quadratics / Averages
/ Solving Equations inc Forming / Changing the Subject / Iterations / Angle Calculations / Inequalities /
Sequences / Scatter Graphs / Histograms / Recurring Decimals / Circles, Arcs & Sectors / Percentages / Ratio
& Proportion
Year 9 Return Curriculum:
More time has been allocated to key threshold concepts early in the GCSE course, to account for the
fact that pupils may not have covered these topics so thoroughly in year 8.
Year 8 content that formed part of home learning during lockdown has been highlighted to staff,
alongside topics that would have been covered in year 8 but were not covered in home learning.
These topics all feature in the year 9 programme of study, so we are not reliant on home learning
having been completed. Where a teacher identifies that home learning was completed to a high
standard during lockdown, further opportunity for stretch and challenge will be provided.
A detailed retrieval pathway runs alongside planned objectives to ensure that pre-requisites and
previously taught content is not lost.
Year 10 Mathematics at Redhill School:
Our Year 10 programme of study delves into further complexities of the GCSE specification again delivering new
content whilst retrieving and intertwining prior taught topics. Increased exposure to GCSE style questions aims to
further familiarise pupils with the demands of detailed problems and begins to encourage more independent
problem-solving strategies. A detailed retrieval pathway runs alongside planned objectives to ensure that pre-
requisites and previously taught content is not lost.
Year 10 Units of Study:
FOUNDATION
Ratio / Proportion / Compound Measures / Percentages / Linear Graphs / Real Life Graphs / Changing the Subject /
Recognising Graphs / Simultaneous Equations / Transformations / Probability / Pythagoras / Trigonometry /
Expanding & Factorising Double Brackets / Factorising & Solving Quadratics / Plans & Elevations / Constructions
HIGHER
Circles, Arcs and Sectors / Percentages / Problem Solving with Ratio and Proportion / Direct and Inverse Proportion /
Compound Measures / Real Life Graphs / Linear Graphs and Inequalities / Simultaneous Equations / Transformations
/ Pythagoras / Trigonometry inc Non Calc / Recognising Graphs / Factorising Quadratics; Completing the Square/
Quadratic Formula / Complex Simultaneous Equations inc Circles / Constructions & Loci / Bearings / Congruence &
Similarity / Error Intervals / Bounds
Year 10 Return Curriculum:
Year 9 content that formed part of home learning during lockdown has been highlighted to staff,
alongside topics that would have been covered in year 9 but were not covered in home learning.
These topics all feature in the year 10 programme of study, so we are not reliant on home learning
having been completed. Where a teacher identifies that home learning was completed to a high
standard during lockdown, further opportunity for stretch and challenge will be provided. A detailed retrieval pathway runs alongside planned objectives to ensure that pre-requisites and
previously taught content is not lost.
Year 11 Mathematics at Redhill School:
Our Year 11 programme of study aims to retrieve, consolidate and revise key concepts required for success at GCSE,
whilst building strategies for examining, breaking down and problem solving with complex questions.
Our approach aims to be as reactive as possible using assessment analysis carefully to identify pupil strengths and
weaknesses which will in turn drive taught content, extended learning and independent revision.
Year 11 Units of Study:
FOUNDATION: Algebra skills/ Forming & Solving Equations/ Sequences/ Straight Line & Quadratic Graphs/
Rearranging Formulae/ Ratio & Proportion/ Percentages/ Compound Measures/ Averages, Data & Graphs/ Probability
inc Venn Diagrams & Set Theory/ Angles/ Circles/ Volume & Surface Area/ Transformations/ Loci, Constructions &
Bearings/ Vectors
HIGHER: Probability/ Venn Diagrams & Set Theory/ Sampling & Bias/ Vectors/ Non-Right Angled Trigonometry/ Trig
Graphs/ Direct & Inverse Proportion/ Quadratics, Graphs & Inequalities/ Functions/ Transforming Graphs/ Algebraic
Fractions/ Algebraic Proof
The taught content in both tiers will be complemented by a carefully mapped retrieval & extended learning pathway
to ensure pupils are re-exposed to the many required concepts of the GCSE Mathematics specification.
Year 11 Return Curriculum:
Our 20-21 Year 11 Mathematics programme of study aims to carefully retrieve, consolidate, and revise key concepts
and skills needed for success at GCSE.
Close analysis of previous exam series have allowed a tailored, systematic approach to our return curriculum,
ensuring high frequency/ high mark topic areas are prioritised alongside the effective retrieval of other essential
knowledge and methodology.
As well as content, our approach will aim to rebuild confidence and exam strategy in order to promote good problem-
solving skills and best prepare students for the demands of their final examinations.
Following mock exams, flexibility has been built into our curriculum plan to allow us to be as reactive as possible;
using assessment analysis to carefully identify pupil strengths and weaknesses which will in turn drive taught content,
extended learning and independent revision.
Return Curriculum: Health and Safety Considerations
Staff will need to increase their use of AFL strategies such as mini-whiteboards and RAG cards in
lessons, as they will be unable to rely on live marking during lessons.
Group and collaborative work will no longer take place in lessons as it has done previously. Staff will
limit the use treasure-hunt style activities that involve students moving around the room in close
proximity.
The department are discussing strategies that will limit our use of worksheets or textbooks that
need to be handed out in lessons.
Mathematics specific equipment (compasses, protractor, scientific calculator) is on the list of
equipment that pupils must bring to school each day, this will mean we avoid sharing equipment
amongst pupils in different groups.
Any IT based lessons will be on hold until school policy deems it safe and appropriate.
The Mathematics curriculum principles closely follow the whole school curriculum framework
Assessment: Assessment in Mathematics is designed to monitor learning that has taken place, identify gaps in
knowledge and highlight common misconceptions for both pupils and teachers.Data is used to inform feedback, DIT time foci and future teaching as well as contributing to grouping and
intervention decisions.
Internal assessments aim to prepare students for their GCSE exams and beyond by promoting an ownership of
learning and study outside the classroom.
Assessments also create an opportunity for students to experience success whilst building self-confidence and
resilience in Mathematics.
DIT: DIT in mathematics aims to extend areas of strength and tackle areas of weakness identified through
assessments, lesson time and homework.
DIT enables us to secure content and react to common pupil misconceptions through additional feedback, support
and challenge.
Pupils work independently to plug individual gaps via targeted questions and are encouraged to be reflective of their
own progress.
Retrieval: One of the intentions of retrieval in Mathematics is to ensure that all pupils have the same
prior knowledge before new content is introduced and to ensure that basic skills can be recalled and applied
effectively.
GCSE examinations require pupils to have knowledge of multiple topics for any given question. Retrieval is intended
to prepare students to use multiple skills in order to solve problems.
Retrieval also aims to develop revision skills by highlighting gaps in knowledge and the importance of consistently
addressing these.
Retrieval aims to instil confidence in pupils, by highlighting the skills that they are able to apply successfully, and
therefore preventing further gaps in knowledge from arising.
Retrieval will provide opportunity for pupils to see different methods and approaches both from teachers and their
peers.
Extended learning: Extended learning will focus on building independent learners by consolidating topics taught in
lessons, addressing common misconceptions and retrieving previously taught topics. The aim is to build a solid
foundation from Year 7 and beyond whilst encouraging enquiry, confidence and curiosity in the subject. This will instil
good habits in preparation for assessments and lifelong learning.
Grouping: Pupils are grouped to allow them to progress at their optimum rate in order to provide appropriate
support and challenge. They are grouped by prior attainment and the suitability of where pupils are placed
is continually reviewed. Our setting aims to ensure all pupils have access to core content and are challenged to the
best of their ability.
Key assessment information in Maths:
Year 7 Year 8 Year 9 Year 10 Year 11
Topic Test 1, Topic Test 1, Foundation Foundation, Topic Test 1 Foundation, Topic Test 1, w/c 21st
w/c 28th September 2020 12th October 2020 Topic Test 1, 19th October 2020 w/c 5th October 2020 September 2020
Actual: 29th September 2020 Actual: 10th October 2020
Knowledge/Skill: Knowledge/Skill: Decimals, Algebraic Knowledge/Skill:
Knowledge/Skill: Ratio and Proportion indices, Fractional and negative Knowledge/Skill: Foundation Tier Algebra
Lines and Angles: Direct proportion indices, Ratio
Measuring and drawing angles Writing ratios Standard form, Currency conversion & Best buy
Calculating angles in straight lines, Using ratios Expanding and factorising single Proportion, recipes and compound Higher, Topic Test 1, w/c 21st September
points, triangles and quadrilaterals Scales and measures brackets, measures 2020
Proportions and fractions Percentages (inc. change and reverse)
Proportions and percentages Higher, Topic Test 1, 19th October Knowledge/Skill:
2020 Higher, Topic Test 1 Higher Tier Probability
Knowledge/Skill: w/c 5th October 2020
Decimals, rounding and estimation Actual: 10th October 2020
Algebraic indices
Fractional & negative indices Knowledge/Skill:
Standard form Circles, arcs and sectors
Surds Percentages
Problem solving with ratio
Currency and best buys
Direct/Inverse proportion
Topic Test 2, Topic Test 2, Foundation Foundation, Topic Test 2, Higher and Foundation, GCSE practice
w/c 14th December 2019 23rd November 2020 Topic Test 2, w/c 7th December 2019 paper,
Actual: 15th December 2019 30th November 2020 Actual: 10th December 2019
Knowledge/Skill: w/c 7th December 2020
Knowledge/Skill: Powers and Roots: Knowledge/Skill: Knowledge/Skill:
Number Skills: Expanding double brackets, Linear Graphs One paper split over two lessonsAddition, subtraction, multiplication, Calculate using squares, roots and Basic angle review, Angles in parallel Real life graphs
division cubes. lines. Conversion graphs General mixed revision
Negative numbers Use index notation. Rearranging equations
Factors, multiples and primes Estimate square roots Higher, Topic Test 2, Recognising graphs
Squares, square roots & triangle Substitution with powers, roots and 30th November 2020
numbers brackets Higher, Topic Test 2,
Product of prime factors Knowledge/Skill: w/c 7th December 2019
Expressions, functions & formulae: HCF/LCM using product of prime Expanding brackets & Actual: 10th December 2019
Function machines factors. Factorising with quadratics
Simplifying and writing expressions Averages inc from a table Knowledge/Skill:
Writing expressions and formulae Sequences and Graphs: Compound measures
Substituting into formulae Coordinates Real life graphs
Naming and plotting straight-line Linear graphs
graphs Inequalities
Generating and extending sequences Simultaneous equations linear
(pattern & numerical)
Position-to-term rules
Topic Test 3, Topic Test 3, Foundation Foundation, Topic Test 3, Foundation and Higher, Mock Exams
w/c 8th February 2021 25th January 2021 Topic Test 3, w/c 1st February 2021 commence week beginning 1st February
Actual: 9th February 2021 1st February 2021 Actual 5th February 2021 2021
Knowledge/Skill: Knowledge/Skill: Knowledge/Skill: Knowledge/Skill: CHECK with whole school calendar
Decimals & Measures: Fractions, Decimals & Percentages: Angles in polygons, Tables and charts, Simultaneous equations
Rounding Comparing fractions Pie charts & scatter graphs Simultaneous equations inc General mixed revision
Length, mass and capacity Simplifying fractions graphically
Scales and coordinates Mixed numbers/improper fractions Higher, Topic Test 3, Transformations
Calculating with decimals Add & subtract fractions 1st February 2021
Perimeter & area Convert between fractions and
decimals Knowledge/Skills: Higher, Topic Test 3,
Convert percentages to Solving equations inc forming w/c 1st February 2021
fractions/decimals Changing the subject Actual 5th February 2021
Multiplying and dividing fractions Iteration
Percentages of amounts Knowledge/Skill:
Transformations
Applied Pythagoras inc line segment
Right angled trig
Topic Test 4, Topic Test 4, Foundation Foundation, Mock Exams week
w/c 29th March 2021 22nd March 2021 Topic Test 4, commencing 26th April 2021
Actual: 30th March 2021 w/c 22nd March 2021
Knowledge/Skill: Actual: 23rd March 2021 CHECK WHOLE SCHOOL CALENDAR
Knowledge/Skill: Expressions and Equations:
Sequences and Graphs: Algebraic powers Knowledge/Skill: Knowledge/Skill:
Coordinates Substitution Sequences Probability basics inc two way tables
Naming and plotting straight-line Expand brackets Substitution Pythagoras
graphs Factorise expressions Solving equations, Applying Pythagoras
Generating and extending sequences Function machines Trigonometry
(pattern & numerical) Solving equations – 1 step, 2 step, and Expanding and factorising double
Position-to-term rules with x on both sides. brackets
Higher, Topic Test 4, In addition to ALL Year 9/10 content
w/c 22nd March 2021
Actual: 23rd March 2021 Higher, Mock Exams commence week
beginning 26th April 2021
Knowledge/Skill:
Angle review CHECK WHOLE SCHOOL CALENDAR
Angles in polygons Knowledge/Skill:
Forming & solving equations with Non calculator trig
angles Cubic/reciprocal graphs
Inequalities Quadratic graphs inc roots
Sequences inc quadratic Factorising quadratics to solve
Completing the square
In addition to ALL Year 9/10 content
End of Year Assessment: End of Year Assessment: Foundation Foundation, GCSE Paper Higher and Foundation, GCSE practice
w/c 24th May 2021 17th May 2021 End of Year Assessment w/c 14th June 2021 paper,
Actual: 25th May 2021 24th May 2021 Actual: 17th/18th June across two
Knowledge/Skill: lessons w/c 19th April 2021
Knowledge/Skill: Analysing Data: Knowledge/Skill:
Fractions & Percentages: Mean, median, mode and range. Forming & Solving equations General mixed revision One paper split over two lessons
Comparing fractions Pictograms including angle problems,
Simplifying fractions Pie charts Inequalities, Higher, GCSE Paper General mixed revision
Mixed numbers/improper fractions Bar charts Arithmetic with fractions w/c 14th June 2021
Add & subtract fractions Tally charts FDP Actual: 17th/18th June across two
Convert between fractions and Line graphs In addition to ALL Year 9 content lessons
decimals Grouped and ungrouped frequency
Convert percentages to tables. Higher, End of Year Assessment, General mixed revision
fractions/decimals Interpreting tables 24th May 2021
Multiplying and dividing fractions Knowledge/Skill:
Percentages of amounts Area and Volume: Representing and interpreting data
In addition to ALL Year 7 content Area of a triangle Scatter graphs
Area of a trapezium Histograms
Area of a parallelogram Recurring decimals
Area of compound shapes In addition to ALL Year 9 content
3D shapes
Surface area and volume of
cubes/cuboids
In addition to ALL Year 8 contentYou can also read
