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.
Real life data to give the learners lots of practice using standard form. Easy conversion exercises leading to questions requiring calculation. All suitable for the current KS3 specs as well as solid revision and practice for GCSE.
Standard Form KS3
• interpret and compare numbers in standard form A×10n, 1≤A
GCSE
calculate with and interpret standard form A × 10n, where 1 ≤ A < 10 and n is an integer
Straightforward set of questions on standard form, adapted and adopted from genuine past exam papers. Arranged for developing the complexity, and for printing and accessibility.
Includes converting between standard form and ordinary numbers, ordering, multiplication and division, and a few word problems.
Specs for KS4:
'interpret and compare numbers in standard form
Nothing fancy - just a full set of questions reflecting those set by the big exam boards.
Maths KS3 or KS4 revision. Trigonometric ratios, moving from tan to sine and cosine.
Everything you need for a full lesson or two to develop trigonometry from the tangent ratio to sine and cosine.
Let the learners tackle the activities, or guide them through with PowerPoint presentations.
Presentations, worksheets, activities and solutions.
Please leave comments, suggestions or corrections.
Maths Key Stage 3 Standard Form:
• interpret and compare numbers in standard form A×10n, 1≤A
Four sides of questions ranging from simple conversion between ordinary numbers and standard form, to harder ones that require the application of assorted KS3 knowledge.
Great for revision at GCSE.
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.
Maths Key Stage 2. Lots of questions in the style of SATs from right across the range of papers. Great for revision, practice, or checking learning at later stages, for example KS3 or Foundation GCSE. Covers all the specs for types of number: odd, even, square, factor, multiple, primes etc.
Common Core Standards
Define trigonometric ratios and solve problems involving right
triangles
6. Understand that by similarity, side ratios in right triangles are
properties of the angles in the triangle, leading to definitions of
trigonometric ratios for acute angles.
Everything you need to deliver a full lesson (or two) to introduce trigonometry through similar triangles and the tangent function. Presentation, activities, worksheets, along with answers, covering all aspects of the Common Core Standards.
Please leave comments, suggestions or corrections.
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.
Common Core Standards
Define trigonometric ratios and solve problems involving right triangles
6. Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
Everything you need for a full lesson or two to develop trigonometry from the tangent ratio to sine and cosine.
Presentations, worksheets, activities and solutions, covering all aspects of the Common Core Standards.
Please leave comments, suggestions or corrections.
GCSE Maths Higher Speed Distance and Time questions in PowerPoint.
Some a bit easy, to keep the learners going, and some introducing other concepts, like bounds, gradients, and areas under a curve.
A new design for use in classroom discussions or on Zoom - questions on the left of the screen with a blank space on the right for filling in the answers - great for letting the learners try their answers to the tutor or the whole class.
Two versions - one with solutions after each slide, and one with solutions at the end.
Two PowerPoint lessons on straight line graphs, covering all aspects of GCSE Foundation, then Higher Tier mathematics:
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
identify and interpret gradients and intercepts of linear functions graphically and algebraically
Clear presentations with lots of opportunities for learner engagement, and great for use on Zoom or other distance learning opportunities. Can be used simultaneously with learners in a classroom and at home.
Key stage 2 - getting more familiar with fractions:
'compare and order unit fractions, and fractions with the same denominators'
Simple stuff for young learners, or revision at later stages.
Colourful presentation with lots of images to show the relationship between mixed numbers and improper fractions, plus two worksheets covering the specs for year 5. A full lesson of stuff.
Specification, fractions year 5:
'recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, 2/5 + 4/5 = 6/5 = 1 1/5]'
Great for revision in year 6 and above.
KS2 Maths - Year 3 Equivalent Fractions:
Year 3 equivalent fractions.
recognise and show, using diagrams, equivalent fractions with small denominators
Colourful powerpoint for sharing with a whole class, or for printing slides for cutting out and matching the shapes. You can buy them but they cost £25 a set of magnetic ones!
Lots of questions to match shapes to fraction concepts, and activities for the learners to do, including writing fraction chains and colouring in a fractions wall. Great for revision in later years.
A full presentation, developing surds to show how to expand two brackets with surds, rationalising the denominator, and using the conjugate (difference of squares) to simplify expressions in number and algebra.
Plus two differentiated worksheets that give practice in application and reasoning.
Two sets of questions, differentiated by paper, for learners to complete. Plus answers.
Counting has always been on Foundation, so quite easy for learners.
Sophisticated counting strategies are new to the GCSE higher tier. The specs say:
apply systematic listing strategies, including use of the product rule for counting (i.e. if there are m ways of doing one task and for each of these, there are n ways of doing another task, then the total number of ways the two tasks can be done is m × n ways)
Hence also suitable for revision at A Level Statistics.
All questions follow the format of 2017 exams across the boards, and the SAMs and Mocks available.
Maths National Curriculum
Multiplying fractions Year 5
’multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams’
Clear, concise and colourful presentation giving a variety of real scenarios with appropriate images and photographs to give the learners opportunities the ability to see this topic from a variety of positions. And hopefully the learners will develop alternative ways to find solutions. A PDF version is included to ensure it looks good on any screen with any computer system.
Plus a worksheet of questions, and another file with the answers.
Meets the criteria for Year 5, but invaluable for revision in year 6 and in Key Stages 3 and 4.
Fractions addition and subtraction with different denominators. KS2 Year 6, but great for revision in KS3, and essential for foundation GCSE, and not a few higher candidates would benefit too.
Warm up worksheet that asks the learners to find common multiples and common factors, through word questions.
Colourful presentation covering the definitions of a fraction, and why the numerator has to be the same. One example, and then a small selection for the learners to find the lowest common denominator.
Finally a worksheet for the learners to try out, or revise, these new skills.
Does not include addition of mixed numbers - all simple results less than one.
All worksheets in Word and PDF, and all answers included! The presentation has been updated to include an older version of PowerPoint, a revised v2 which might fit better, and a PDF version which will work on any system.
Year 6 specs say:
‘use common multiples to express fractions in the same denomination
add and subtract fractions with different denominators’
A set of engaging activities to give the learners the concept of area. National Curriculum Year 4 mathematics.
Area by counting squares, area of rectangles as arrays, and addition and subtraction of rectangles to find the area of a rectilinear shape.
Statutory requirements
Pupils should be taught to:
• find the area of rectilinear shapes by counting squares
Notes and guidance (non-statutory)
They relate area to arrays and multiplication.
But also great for revision in Year 5 and above. I've done this sort of thing with Foundation GCSE!