A worksheet on algebraic manipulation, including: ab in place of a times b, 3y in place of y + y + y and 3 times y, a squared in place of a times a, a cubed in place of a times a times a, a squared b in place of a times a times b, a/b
in place of a divided by b , coefficients written as fractions rather than as decimals and brackets. Good introduction to algebra. Solutions are included.
IGCSE ALGEBRA(algebraic manipulations) PAST PAPER QUESTIONS AND MARKING SCHEMES
TOPIC WISE ALGEBRA QUESTIONS .
41 QUESTIONS AND MARKING SCHEMES
ALL IMPROTANT QUESTIONS FROM IGCSE ALGEBRA PAST PAPERS
This is graded/levelled activity which goes through from collecting like terms to all the way to multiplying double brackets.Do leave a comment on what you think, how it went in your class, also any suggestions for improvement.
Maze consists of squares containing identities, some of which are false. Pupils can only pass through squares containing true identities. Identities require ability to expand & factorise quadratic expressions and simplify algebraic fractions, so really only good for a GCSE top set. Extension - pupils find identities of incorrect squares and then design their own maze (there's a good discussion to be had about how to make a good maze - including common misconceptions to fool people).
Students need to check all the statements, find any mistakes and fix them. Answers are included along with an explanation of the misconception. A nice activity for revision or consolidation.
This resource contains:
- 12 slide PowerPoint presentation introducing use of algebra tiles for completing the square, providing pupils with a concrete conceptual model for developing the "formula method" in later lessons;
- Support worksheet with tile diagrams for pupils to record their work;
- Exit ticket to assess pupils' work at the end of the lesson;
- Tile templates and instructions for creating the physical resource;
- Supporting documentation with a full outline explaining how to use the resources.
All resources provided with a complete set of answers/solutions.
Worksheets provided in both pdf and original formats to allow for adaptation.
This resource bundle addresses the following Programme of Study objectives:
- Key Stage 4 Higher: (Introductory material for) solving quadratic equations by completing the square.
Full lesson, including an introduction to negative numbers
Simplify and manipulate algebraic expressions (including those involving surds) by:
multiplying a single term over a bracket,
taking out common factors,
simplifying expressions involving sums
Interpret algebraic manipulation, including:
numbers written as fractions rather than as decimals
brackets
REVOLUTIONIZE YOUR ALGEBRA LESSONS WITH BOARDWORKS – COMPLETE INTERACTIVE POWERPOINTS FOR MASTERY!
Bring algebra to life with this Boardworks KS4 Mathematics: A1 Algebraic Manipulation interactive PowerPoint. With 73 expertly designed slides, this resource delivers clear, visual explanations and step-by-step animations covering every core concept of algebraic manipulation — from index laws to algebraic fractions.
Perfect for KS4 (ages 14–16) and GCSE Mathematics, this comprehensive set builds understanding through progressive examples, interactive puzzles, and visually rich demonstrations that make even abstract algebraic rules accessible and memorable.
Complete Package Includes
73 interactive slides with built-in animations and visual learning aids
Worked examples and clear model solutions for every topic
Hexagon puzzles, practice questions, and self-check challenges
Teacher notes and prompts for guided delivery
Editable PowerPoint format – adapt for your class or platform
Covers the entire A1 Algebraic Manipulation unit from the Boardworks KS4 curriculum
All Key Topics Covered
A1.1 Using Index Laws
A1.2 Multiplying Out Brackets
A1.3 Factorization
A1.4 Factorizing Quadratic Expressions
A1.5 Algebraic Fractions
Each lesson blends explanation with interactive questioning, encouraging students to explore and apply new concepts immediately.
Teacher Benefits
Zero prep time – ready to teach straight away
Visually engaging slides reinforce key algebraic principles
Built-in differentiation for mixed-ability classes
Instant assessment checkpoints throughout each topic
Ideal for classroom, online, or blended learning
Fully editable and reusable
Student Engagement Features
Animated examples showing each algebraic step in motion
Real-time feedback and correction opportunities
Visual demonstrations of processes like expanding brackets or simplifying fractions
Embedded practice activities and puzzles
Clear, colorful graphics for enhanced focus and memory retention
Perfect For
KS4 & GCSE Mathematics (ages 14–16)
Revision, intervention, or cover lessons
Reinforcing and extending algebraic understanding
Flipped classrooms or independent study
Tutoring and small-group instruction
Why Teachers Love It
Trusted by thousands of schools worldwide, Boardworks’ Algebraic Manipulation (A1) is the ultimate classroom companion. It transforms complex algebra into engaging, step-by-step learning — helping every student gain mastery, not just memorization.
Download now and watch your students build fluency, confidence, and mastery in algebraic manipulation — one interactive slide at a time!
A collection of 6 worksheets on algebraic manipulation based on the GCSE 9-1 specification.
The following worksheet are included:
Multiplying out two brackets
Multiplying three brackets
Factorising quadratics
Simplifying algebraic fractions
Operations with algebraic fractions
Completing the square
Detailed solutions are included.
This resource is a formative/summative assessment
Total marks is 80
Topics covered include:
Number concepts (multiples, factors, prime factorization)
Roots, squares and cubes
Substitution
Algebraic simplification
Advanced algebraic simplification
The answers are included. In order to generate the question paper, simply delete the answers in red
We hope you enjoy this assessment
Kind Regards
ENTER - ONE
Manipulating Algebraic Expressions Maths Escape Room - Great for the start of end of term. This is a print and play digital escape room. Every student loves to solve a mystery. This brand new escape room activity will not only improve students knowledge on Manipulating Algebraic Expressions but will hone their problem solving skills, build up their teamwork and leadership skills and allow opportunities to show creativity and resilience.
The plot…
“Detectives, we have a severe problem on our hands. There’s no easy way to say it, so I’m going to simply give you the facts. At 0200 hours, seven royal artifacts were stolen from the Tower of London. It’s a tragedy, and they must be recovered at all costs!!”
“Now, what I’m about to tell you will be shocking, but we must act fast
before the general public realizes what has happened. While every investigator
in the country works on recovering the artifacts, I need you to collect the
replacement artifacts from secret locations.”
Cre8tive Resources was nominated by TES for the national teaching awards 2021 and runner up in home learning resources of the year!!
Escape Room Contents:
☞Interactive Tracker PowerPoint - Keeps the competitive nature on display
☞ Escape Room Keys (Six Sets for up to Six Teams)
☞ Escape Room Puzzles (7 Rooms = 7 Different styles of Puzzles)
☞ Teacher Answer Sheet - We do the hard work for you!
☞ Teacher instructions to run the escape
☞ Successful Escape Certificates for those that complete the entire challenge (There is a difficult bonus escape for any quick finishing teams :)
☞ The 7 Rooms each have subject specific Puzzles that have been adapted to suit the topic of this Escape Room and are suitable for a variety of students
☞ Optional Escape Room Script you can use!
☞ Professionally made Video to introduce the Escape Room Plot - With Voice overs and alternate endings.
As well as solving 7 different subject themed puzzles they will have to answer a series of bonus questions (12 in total) testing their subject knowledge to the max!
This Escape Room is a great way to have an education treat lesson for your students and make learning new topics / or consolidating old ones fun!
Product Code: C8/ES/520
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Leave a review and email TheCre8tiveResources@gmail.com for a free resource as a thank you!!
Explore all our resources on TES
A revision and consolidation activity intended to allow students to see the progress they are making in a particular topic.
Graded worksheet with 4 questions for each objective. Full answer sheet and blank student sheet for students to write their answers.
Also included is a basic powerpoint presentation that allows teachers to display the sheets on the board and outlines the learning objectives at the start.
Here is a GCSE progression test+answers.
It includes 17 questions (50 marks) on:
* Number
* Indices
* Algebraic manipulation
* Travel graphs
* Venn diagrams
* Standard form
* Limits of accuracy
* Straight line graphs
* Currency conversions
It can be used as:
A progression test.
A revision worksheet.
An initial assessment
I hope you find it useful!
Please rate it so I can improve as I go on!
Find more Maths resources at:
https://www.tes.com/teaching-resources/shop/MathsExams
Ideal for Year 11 intervention - I normally use these examples and pair them with my own ‘Your turn’ tasks based on the examples.
Perfect for fast paced whiteboard lessons
This is a math unit that focuses on the AP Calculus standard: 1.6
Limits and Continuity: Determining Limits Using Algebraic Manipulation (LIM-1.E). Activity, guided notes and answer keys are included.
What’s included?
Activity - Determining Limits: Algebraic Manipulation Activity
Guided Notes
Teacher Instructions
Answer Keys
How to use this resource:
As a classroom activity
As morning work, bell ringer, with interactive notebooks, or as a
stand-alone activity
As homework or as an emergency sub plan
Standards: LIM-1.E
Make sure to look at the preview for more details about this fun and interactive way to teach math in your classroom!
All graphics are originals and created by myself.
Thanks for visiting my store,
Yvonne Crawford
A series of powerpoints and worksheets that follow the chapter order of the Colins GCSE Maths Higher Tier book
These materials were originally google slides, I can give access to these on request.
If there are any mistakes (corrupted images, mathematical mistakes etc) please let me know and I will correct and resend.
PowerPoint Presentation on Algebraic Conventions (12 slides): Defines terms used in algebra (expression, equation, terms, co-efficient) and explains algebraic conventions. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes:
Lesson objectives
Step-by-step explanations of the subject matter
Examples to aid understanding
Questions to check understanding
Answers to questions, with explanations
Suggestions regarding which topic(s) should be moved on to next.
It is 1 of a set of 8 PowerPoints on ‘Algebraic Manipulation’ that APT has published for GCSE (and Key Stage 3) Maths. The complete set of 8 PowerPoint Presentations (135 slides, excluding Title Pages) covers the following topics relating to ‘Algebraic Manipulation’:
01 Algebraic Conventions (12 slides): Defines terms used in algebra (expression, equation, terms, co-efficient) and explains algebraic conventions.
02 Collecting Like Terms (7 slides): Explains how to simplify expressions by collecting ‘like’ terms together.
03 Simplifying (11 slides): Reviews algebraic terminology and algebraic conventions and explains how to simplify expressions that involve multiplication and division.
04 Expanding Brackets (21 slides): Reviews BIDMAS and explains how to expand single-bracketed expressions, double-bracketed expressions, and (for higher tier only) triple-bracketed expressions.
05 Factorising (28 slides): Explains how to factorise linear and quadratic expressions.
06 Substitution (11 slides): Explains how to substitute numbers for letters into algebraic expressions and formulae, and then evaluate.
07 Rearranging Formulae (25 slides): Explains how to rearrange formulae (aka how to change the subject of a formula).
08 Identities and Proofs (20 slides): Explains the difference between an equation and an identity, and explains how to find counter-examples, and how to set out formal proofs.
These PowerPoints relate to the ‘Algebra’ sections of the Maths specifications. Other sets relating to Algebra concern:
Equations and Inequalities
Graphs
Types of Number and Sequences
Note: Work on calculating with algebraic fractions is included in APT’s set of PowerPoints on ‘Fractions’. Work on functions and composite functions in included in APT’s set of PowerPoints on ‘Graphs’.
The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.
A revision and consolidation activity intended to allow students to see the progress they are making in a particular topic.
Graded worksheet with 4 questions for each objective. Full answer sheet and blank student sheet for students to write their answers.
Also included is a basic powerpoint presentation that allows teachers to display the sheets on the board and outlines the learning objectives at the start.