The main additions to the syllabus are listed below (this list is not exhaustive). Information and resources are provided for each new topic. This page is work in progress and will be updated regularly. Please email any additional resources to resourceaholic@gmail.com.
Functions
"Interpret simple expressions as functions with inputs and outputs; interpret the reverse process as the ‘inverse function’; interpret the succession of two functions as a ‘composite function'"My blog post 'New GCSE: Functions' describes the specification, resources and teaching ideas.
Functions Subject Knowledge Audit by @MrDraperMaths
Resources: Language of functions topic check-in / Evaluating Functions / Functions practice questions / Function Machines / Combined Functions / Composite Functions / Combined Linear Functions / Composite functions worksheet pack / Composition of functions relay / Composite functions / Exploring inverse functions / Inverses of Discrete Functions worksheet / Function activities from MathsPad (with subscription) / Functions multiple choice quiz / Functions notes and exercises / KS3-4 Bridging the gap Pocket 2 - Function notation / Edexcel A7 Functions / Functions Problems / Revision
Quadratic Graphs"Identify and interpret roots, intercepts, turning points of quadratic functions graphically; deduce roots algebraically and turning points by completing the square"
My blog post describes methods for finding the vertex of a quadratic function.
Quadratic Functions Subject Knowledge Audit by @DrBennison
Resources:
These resources (including sources) are listed in my algebra library.
Tangents to Circles"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".
Tangents to Circles Subject Knowledge Audit
Resources:
Circle functions / Circle Equations / Geogebra file / Equations of Tangents to Circles / General formula for a circle / Circles and tangents / Equation of a Circle lesson
These resources (including sources) are listed in my algebra library.
Iteration
"Find approximate solutions to equations numerically using iteration"
Iterative Methods Subject Knowledge Audit by @DrBennison
Blog post by Colleen Young - GCSE New Content – Iterative Methods for Numerical Solution of Equations
Blog post by Peter Mattock - Iteration and the new GCSE
Iteration Worked Solution Card Match - SiouxzieD on TES
Bridging Units: Resource Pocket 4 - Iterative methods for solving equations numerically - AQA
Solving cubic equations iteratively - Don Steward
Destination Douze and Iteration - Don Steward
A20 Iterations - Edexcel
Iteration to solve equations - toticity.co.uk
Inequalities
"Solve linear inequalities in one or two variable(s), and quadratic inequalities in one variable; represent the solution set on a number line, using set notation and on a graph".
My blog post about new content and methods
Resources:
Set notation for inequalities / Quadratic inequalities worksheets / Quadratic inequalities worksheet / Quadratics inequalities / Inequality match up / Quadratic inequalities spot the mistake / Quadratic inequalities worksheet / Solving quadratic inequalities / Edexcel A22 Quadratic inequalities
Iteration"Find approximate solutions to equations numerically using iteration"
Iterative Methods Subject Knowledge Audit by @DrBennison
Blog post by Peter Mattock - Iteration and the new GCSE
Iteration Worked Solution Card Match - SiouxzieD on TES
Bridging Units: Resource Pocket 4 - Iterative methods for solving equations numerically - AQA
Solving cubic equations iteratively - Don Steward
Destination Douze and Iteration - Don Steward
Iteration to solve equations - toticity.co.uk
Inequalities
"Solve linear inequalities in one or two variable(s), and quadratic inequalities in one variable; represent the solution set on a number line, using set notation and on a graph".My blog post about new content and methods
Resources:
Set notation for inequalities / Quadratic inequalities worksheets / Quadratic inequalities worksheet / Quadratics inequalities / Inequality match up / Quadratic inequalities spot the mistake / Quadratic inequalities worksheet / Solving quadratic inequalities / Edexcel A22 Quadratic inequalities
ICT tools:
Geogebra 1 / Geogebra 2 / Desmos / echalk
Sequences
"Recognise and use sequences of triangular, square and cube numbers, simple arithmetic progressions, Fibonacci type sequences, quadratic sequences, and simple geometric progressions (rn where n is an integer, and r is a rational number > 0 or a surd) and other sequences"
My blog post New GCSE: Sequences describes the new content, provides example questions and features links to resources.
Resources:
Geogebra 1 / Geogebra 2 / Desmos / echalk
Sequences
"Recognise and use sequences of triangular, square and cube numbers, simple arithmetic progressions, Fibonacci type sequences, quadratic sequences, and simple geometric progressions (rn where n is an integer, and r is a rational number > 0 or a surd) and other sequences"My blog post New GCSE: Sequences describes the new content, provides example questions and features links to resources.
Resources:
Quadratic Sequences by Comparison / Quadratic sequences worksheet / Quadratic sequences from Don / Quadratic sequences lesson / Geometric sequence sort cards / 4 in a line - Extending Sequences / Types of sequence Tick or Trash / Generating Sequences Quiz Quiz Trade / Geometric Sequences Worksheet / Geometric Sequences / Sequences Problem / Quadratic Sequences Geogebra file / Term-to-term rules matching cards / Odd One Out / Quadratic Sequences Chapter / CIMT sequences chapter and exercises / KS3-4 Bridging the gap Pocket 6 - Number sequences /
Edexcel resources: A24 Simple geometric progressions / A24 Special sequences / A25 Nth term of quadratic sequences
Edexcel resources: A24 Simple geometric progressions / A24 Special sequences / A25 Nth term of quadratic sequences
These resources (including sources) are listed in my algebra library.
Exact Trig Values
"Know the exact values of sinθ and cosθ for θ = 0o, 30o, 45o, 60o and 90o; know the exact value of tanθ for θ = 0o, 30o, 45o and 60o"
Exact Trig Ratios Subject Knowledge Audit by @DrBennison
Resources:
Exact trigonometric values / Exact trig values worksheet / Exact trig values codebreaker /
Finding and applying the 3 trigonometric ratios
These resources (including sources) are listed in my shape library.
Exact Trig Values"Know the exact values of sinθ and cosθ for θ = 0o, 30o, 45o, 60o and 90o; know the exact value of tanθ for θ = 0o, 30o, 45o and 60o"
Exact Trig Ratios Subject Knowledge Audit by @DrBennison
Resources:
Exact trigonometric values / Exact trig values worksheet / Exact trig values codebreaker /
Finding and applying the 3 trigonometric ratios
These resources (including sources) are listed in my shape library.
"Record describe and analyse the frequency of outcomes of probability experiments using tables and frequency trees"
Blog post: Using expected frequencies when teaching probability
Resources:
Frequency Trees / Frequency tree - explanation and exploration / Prize Giving / Learn Homework / Frequency Trees
These resources (including sources) are listed in my data library.
"Use inequality notation to write down an error interval for a number or measurement rounded or truncated to a given degree of accuracy."Blog post: GCSE 9-1 New content – Error Intervals from Just Maths
Resources:
Bounds and Error Intervals / Errors in Truncation / Edexcel N15 Bounds / Truncation
Sets and Venns
"Enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams and tree diagrams."
"Calculate and interpret conditional probabilities through representation using expected frequencies with two-way tables, tree diagrams and Venn diagrams".
Venn Diagrams Subject Knowledge Audit
Resources:
Introductory Venn worksheet / Venn diagram dominoes / Venn diagrams activities / Drawing and reading Venns / Sets and Venns / Sets & Venns Chapter / Probability & Venn Diagrams Chapter / Logic and Venn Diagrams (& activities & slides) / Set notation questions / Set notation worksheet / Set notation activity, answers, poster / Venn Diagrams and the Addition Rule / Exam questions / KS3-4 Bridging the gap Pocket 5 - Set notation, number lines and Venn diagrams/ Edexcel P9 Venn diagrams / Independence, Dependence, Mutually Exclusive or Not? / GCSE Questions
Venn Diagrams Subject Knowledge Audit
Resources:
Introductory Venn worksheet / Venn diagram dominoes / Venn diagrams activities / Drawing and reading Venns / Sets and Venns / Sets & Venns Chapter / Probability & Venn Diagrams Chapter / Logic and Venn Diagrams (& activities & slides) / Set notation questions / Set notation worksheet / Set notation activity, answers, poster / Venn Diagrams and the Addition Rule / Exam questions / KS3-4 Bridging the gap Pocket 5 - Set notation, number lines and Venn diagrams/ Edexcel P9 Venn diagrams / Independence, Dependence, Mutually Exclusive or Not? / GCSE Questions
These resources (including sources) are listed in my data library.
Multiplicative Counting and Systematic Listing
"Apply systematic listing strategies including use of the product rule for counting"
Multiplicative Counting and Systematic Listing
"Apply systematic listing strategies including use of the product rule for counting"
- Students know and understand why if there are x ways to do task 1 and y ways to do task 2, then there are xy ways to do both tasks in sequence
- Students should be able to identify all permutations and combinations and represent them in a variety of formats
Systematic listing and counting strategies - resources available with MathsPad subscription
Three pens - Just Maths
Blog post: Multiplicative counting - the different types from @MrMattock
Blog post & resource list: Systematic Listing Strategies from @ColleenYoung
Invariance
"Describe the changes and invariance achieved by combinations of rotations, reflections and translations"
"Describe the changes and invariance achieved by combinations of rotations, reflections and translations"
"Know that the perpendicular distance from a point to a line is the
shortest distance to the line"Geogebra file 1
Geogebra file 2
Resources coming soon!
Gradient of a curve
"Interpret the gradient at a point on a curve as the instantaneous rate of change; apply the concepts of average and instantaneous rate of change (gradients of chords and tangents) in numerical, algebraic and graphical contexts"Tangents and Areas Subject Knowledge Audit by @DrBennison
My blog post about content, methods and resources.
Resources:
Finding the gradient of a curve using a tangent / Gradient on a curved graph / Using Graphs / Textbook extract / Speed and acceleration graphs / Graphing Activity / Gradients of graphs textbook chapter / Edexcel R15 Gradient of a curve
These resources (including sources) are listed in my algebra library.
Area under a graph
"Calculate or estimate gradients of graphs and areas under graphs (including quadratic and other non-linear graphs), and interpret results in cases such as distance-time graphs, velocity-time graphs and graphs in financial contexts"Tangents and Areas Subject Knowledge Audit by @DrBennison
My blog post about content, methods and resources.
Resources:
Area under graph / Area under a graph / Using Graphs / Textbook extract / Slides & Student sheet & Teacher notes / Graphing Activity / Area under curves textbook chapter / Edexcel A15 Gradients of graphs and areas under graphs / Exam questions
Expanding cubics
"Simplify and manipulate algebraic expressions (including those involving surds
and algebraic fractions) by expanding products of two or more binomials"
"Simplify and manipulate algebraic expressions (including those involving surds
and algebraic fractions) by expanding products of two or more binomials"Blog Post: GCSE 9 -1 New content – Two or more binomials from Just Maths
Resources:
Expanding Polynomials / Grid method polynomial expansions / Edexcel A4 Expand products of two or more binomials / Geogebra file / Expanding binomials – Squares / Triple Brackets – Boarding Card
These resources (including sources) are listed in my algebra library.
Growth and DecayResources:
Exam questions / Exponential growth and decay / OCR check-in test / AQA topic test / AQA Bridging Unit growth and decay / Exponential functions / Compound interest / Growth and Decay / Exponential growth and decay / Compound percentages activities
These resources (including sources) are listed in my number library.
Capture-Recapture (Edexcel)
"Infer properties of populations or distributions from a sample, while knowing the
limitations of sampling. To include the calculation of summary statistics from a sample, knowing that these are estimates for
the population.
At Higher tier, to include the Peterson capture–recapture method"
Resources/Lessons:
Capture and Recapture / A lesson: The Capture-Recapture method / Capture-Recapture lesson and resources / 'Something Fishy' project / Capture Recapture / Capture recapture worksheet / Capture recapture lesson
Capture and Recapture / A lesson: The Capture-Recapture method / Capture-Recapture lesson and resources / 'Something Fishy' project / Capture Recapture / Capture recapture worksheet / Capture recapture lesson
These resources (including sources) are listed in my data library.
Time Series
"Interpret and construct tables, charts and diagrams, including ... tables and line graphs for time series data and
know their appropriate use."Resources:
Time Series Graphs / Data Analysis and Interpretation / Time Series Graphs / Time Series Chapter
These resources (including sources) are listed in my data library.
Scatter Graphs
"Use and interpret scatter graphs of bivariate data; recognise correlation and know
that it does not indicate causation; draw estimated lines of best fit; make
predictions; interpolate and extrapolate apparent trends whilst knowing the
dangers of so doing."My blog post about scatter graphs
Resources:
Scatter Graphs True or False / Correlation vs Causation Worksheet / Correlation vs Causation Activities / Causation Examples / Correlation and cause slides
More resources coming soon!
These resources (including sources) are listed in my data library.
Further Reading and Resources
My posts:
Five things you might not know about the new GCSE content #1
My post on Resources for New GCSE Topics
GCSE New Content by Colleen Young
Probability by Colleen Young
Content Changes by Just Maths
Planning for GCSE 2015 by Miss Norledge
Free resources from OCR
Bridging the Gap Resources from AQA
Exam Questions by Topic (Higher) - Just Maths
Exam Questions by Topic (Foundation) - Just Maths
Exam Questions by Topic (Both tiers) - Just Maths
Exam Questions - Maths Genie
Revision booklets - pixi_17 on TES
9 - 1 GCSE Help Book - m4ths.com
GCSE New Content by Colleen Young
Probability by Colleen Young
Content Changes by Just Maths
Planning for GCSE 2015 by Miss Norledge
Free resources from OCR
Bridging the Gap Resources from AQA
Exam Questions by Topic (Higher) - Just Maths
Exam Questions by Topic (Foundation) - Just Maths
Exam Questions by Topic (Both tiers) - Just Maths
Exam Questions - Maths Genie
Revision booklets - pixi_17 on TES
9 - 1 GCSE Help Book - m4ths.com
Thank you for this post... our maths department need to prepare a resource to use for the new style GCSE & present at tonight's meeting. It has been suggested that we start by looking here - what a compliment to you that a whole department are using your blog!
ReplyDeleteThat's fab - thank you! Great idea for a department meeting too.
DeleteHi, thank you for these resources they have been amazing for putting our SOL together and providing guidance to the department. Do you have any clarification on what is meant by "vertical line charts" in statistics point 2? Is this just a line graph?
ReplyDeleteThanks! I'm glad it's useful. I believe a 'vertical line chart' is just a bar chart with lines instead of full bars (ie height of each vertical line represents frequency). So different to a line graph, which is a time series graph (ie plot points and join with straight lines).
DeleteI'm really glad it's helpful. Thanks!
ReplyDeleteThank you for this. Really helped me to ensure I know everything the night before the exam.
ReplyDeletetime series 2nd link to cimt is now at http://www.cimt.org.uk/projects/mepres/stats/handlg_data_ch3.pdf :)
ReplyDeleteThanks! Fixed.
DeleteHi Jo Is there any planner resource(may be an excel sheet) for students to self evaluate themselves listing down GCSE maths topics where the student can score against each topic how confident he/she is with a particular topic. If you can point me in the right direction it would be greatly helpful.
ReplyDeleteYou could take a checklist and adapt it like that? There are some revision checklists listed here: https://www.resourceaholic.com/2016/11/gcsemaths9to1revision.html. AQA also has one on their website. Edexcel probably does too.
Delete