I taught in a range of schools for many years before moving into FE, where I found creative and imaginative approaches just as rewarding with adults. Most of my resources are concerned with giving control to the learner, through a range of methods. Some are great for just giving them experience of examination questions, and the chance to discuss these with other learners. I now concentrate on spreading the range of creations from UK KS1 to KS4, and across the Common Standards.
I taught in a range of schools for many years before moving into FE, where I found creative and imaginative approaches just as rewarding with adults. Most of my resources are concerned with giving control to the learner, through a range of methods. Some are great for just giving them experience of examination questions, and the chance to discuss these with other learners. I now concentrate on spreading the range of creations from UK KS1 to KS4, and across the Common Standards.
I actually wrote this for the Teaching Agency numeracy skills test - I'm helping a few people to pass this hurdle, hopefully. However, it has equal application in the classroom for KS3 and KS4. I also used it with Functional Skills, having changed the context to make it more vocational. FS invloves only mean and range, it is good to seperate the different measures in the mind of the learner.
Two PowerPoint presentations for Key Stage 1, or KS2 revision. One gives the properties of shapes in terms of surfaces, faces, vertices, edges etc., with pictures, for naming. The other is a collection of photographs of real shapes to be identified.
Accompanying worksheets for £1 on the premium resources.
https://www.tes.com/teaching-resource/maths-3d-shapes-key-stage-1-or-key-stage-2-revision-bundle-of-fully-supported-activities-11180981
All images (c) Colin Billett 2015
Learners have so little practice of abstract reasoning in mathematics, and often confounded by what might seem to be simple questions right through the key stages. So I've made a one-sided set of questions just to give them a bit more experience.
Learners always need practical activities - colourful and kinaesthetic as they remind me, and Geoboards are great way of showing so much to do with shape and space. I've done simple templates, for learners to record, and also for using on a Smartboard. A variety of formats, with a few simple questions, but lots more can be asked. An &'open&'; resource for all types of thing.
A handful of activities I did to get the topics started for my adult GCSE and re-sit classes, largely so I could introduce them whilst seated during my convalescence. At the same time they might be useful for younger learners and for quick revision.
After years of laying out cards I realised it was just as easy to print PowerPoint slides as handouts, six to a page, and do that on card. So there are equations to match to solutions, and a few other PowerPoints. Enjoy.
A full set of resources to deliver the construction and interpretation of frequency polygons.
Suitable for KS3, Foundation Tier GCSE and as a starter for Higher Tier before doing Cumulative Frequency Diagrams.
Includes lesson plan, warm up starter activity on collecting data, PowerPoint on how to draw a frequency polygon, activities for the learners to undertake, and a plenary slide-show with suitable questions for checking learning.
All data genuine and gathered this year.
Standard style lesson plans put into PowerPoint for easy showing in the classroom, printing for handouts etc. All the objectives covering Number, Probability, Statistics, and Ratio, proportion and rates of change included. Twenty seven lessons in all.
All you have to do is add your own particular circumstances, resources etc.
After getting poor feedback, I decided to make the first three as free samples, so do check them out before you buy this full set.
https://www.tes.com/teaching-resource/maths-free-sample-specifications-and-objectives-for-gcse-higher-tier-3-lessons-in-powerpoint-11163375
Introduction to factors, multiples and prime numbers, with activities, worksheets, and SAT style questions for practise or assessment.
Great for revision at KS3 or Foundation GCSE. Plenty to engage, and some more challenging questions.
Mathematics Curriculum KS2
Year 5
Pupils should be taught to:
• identify multiples and factors, including finding all factor pairs of a number,
• know and use the vocabulary of prime numbers
• establish whether a number up to 100 is prime and recall prime numbers up to 19
They use and understand the terms factor, multiple and prime, and square numbers.
Year 6
• identify common factors, common multiples and prime numbers
Three sets of equations, all fairly simple linear and suitable for anyone from Year 6 upwards. Great for quick thinking, mental maths, abstract thinking, and reverse operations. And it might give you ideas for making some of your own.
Better still - get the learners to make one using a camera/phone/scanner and PowerPoint or a simple slide show.
Everything you need for a lesson (or two) on reading and interpreting a cumulative frequency graph. Starter activity on PowerPoint to review average and range, with common mistakes and a more challenging question; a presentation in PowerPoint on reading and interpreting a cumulative frequency graph with two examples; learner activities, four questions in Word or PDF; a plenary presentation in PowerPoint to check learning; and a lesson plan to make the whole thing complete.
Suitable for high achievers at KS3, or Higher Tier on GCSE now and for the 2015 specs.
Can be uploaded to a VLE for the learners to follow themselves.
GCSE Mathematics - Foundation and Higher Tier. Finding the equation of a line through two points and perpendicular lines.
A worksheet/activity that reminds learners of the algebraic form of a straight line, and goes on to finding the equation of a line joining two points and find the equations of perpendicular lines. Lots of GCSE style questions.
Foundation Tier
Plot graphs of equations that correspond to straight-line graphs in the coordinate plane; use the form y = mx + c to identify parallel lines; find the equation of the line through two given points or through one point with a given gradient.
Higher Tier
Plot graphs of equations that correspond to straight-line graphs in the coordinate plane; 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.
Expanding Binomials and Factorising Quadratic Expressions
Objectives:
To be able to:
• expand products of two binomials
• factorise quadratic expressions of the form x2+ bx + c, including the difference of two squares
All the research says that girls learn best by understanding, and that by far the best approach to expanding and factorising is by using the grid method. I’ve done this very successfully for years, and retention is greatly improved by giving as little input as possible, and giving the learners challenges to complete. Plus an investigation to give that stretch and challenge.
A full set of resources for learning how to expand and factorise, with a PowerPoint that can be used for class discussion. Plus some extra exercises for homework or assessment in a subsequent lesson. And a reminder of multiplication and addition of positive and negative numbers for a quick warm-up.
All answers included!
Forty six questions of general arithmetic in the style of UK SATs papers from 2000 onwards at KS2.
The difficulty is deliberately spread through each of the two sections so that learners who find one question difficult can move on and still find accessible questions later.
Great for revision at any time during the year, and quite appropriate for KS3 aiming for Foundation GCSE. In fact, good for any time when learners need a bit of practice on the sort of questions they will meet in exams and tests.
Three big sets of worksheets in the style of SATs at KS2, covering the variety of questions asked over the history of the tests. Addition, subtraction, multiplication and division for the new no-calculator tests, plus two big worksheets on reasoning and problem solving. Great for year 6 revision, or for KS3 and year 7 to brush up the primary skills.
Buy bundle for half price of individual files.
Surds and and an understanding of irrational numbers are new to GCSE Foundation, so I’ve produced a clear and simple PowerPoint for classroom use to introduce the topic.
Other stuff available on working with surds etc.
I’ve added a pdf version to solve the problem of different versions of PowerPoint and some images not working well on ppt.
Maths GCSE Foundation & Higher. Surds & irrational numbers, three activities or investigations in shape and measure.
Finding the length of a the side of a square that leads to an irrational number.
Comparing ratios of paper sizes to derive the ratio of length to width for A4 paper.
Finding the area and perimeter of the pieces of a tangram.
All good stuff that leads the learner through different process to derive lengths and areas using surds, and to add and simplify with surds.
Needs knowledge of Pythagoras, which is KS3. So great for revising Pythagoras with surds.
I teach 16 plus learners in a thirty or so week programme for GCSE - some retake and some new learners. What I have done here is put the Edexcel Linear A new scheme into the weekly slots, and devided all the criteria/spec statements into Aims and Objectives. I wouldn't expect anyone to follow the same order, or keep my jokes, but please copy slides as you want.
Inspectors love to see the aims pasted up, so I use PowerPoint.
Everything needed to introduce algebra in Key Stage 2 (Year 6) or to revise and build upon it in KS 3 or later. Formulas, sequences, missing numbers, number patterns and missing number problems.
Presentations, worksheets, activities and assessments covering the whole of algebra in Year 6, and also suitable for older learners. Lots of opportunities for deep thinking, and for differentiation, and all suitable for editing if required. Most have answers. And many questions based on previous SATs.
All written to new UK standards (2015).
Year 6 Algebra
Pupils should be taught to:
• use simple formulae
• generate and describe linear number sequences
• express missing number problems algebraically
• find pairs of numbers that satisfy an equation with two unknowns
• enumerate possibilities of combinations of two variables.
Notes and guidance (non-statutory)
Pupils should be introduced to the use of symbols and letters to represent variables and unknowns in mathematical situations that they already understand, such as:
• missing numbers, lengths, coordinates and angles
• formulae in mathematics and science
• equivalent expressions (for example, a + b = b + a)
• generalisations of number patterns
• number puzzles (for example, what two numbers can add up to).
Developing area and perimeter to look at shapes with same areas but different perimeters, same perimeters but different areas, and equal area and perimeter. Engaging activities for the learners. Covers Year 5, but good for revision and practice at later stages.