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.
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.
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.
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’
Key Stage 3 mathematics specs:
Standard Form KS3
• interpret and compare numbers in standard form A×10n, 1≤A
Two sides of data, for positive and negative indices, of science data to change between ordinary numbers and standard form.
Great for revision for GCSE classes.
Answers included!
KS3 Presentation warm up, two more sequences sets on PowerPoint, and two worksheets, the second quite challenging. Plus a ‘sticks and dots’ pattern set with lots of pictures.
• generate terms of a sequence from either a term-to-term or a position-to-term rule
• recognise arithmetic sequences and find the nth term
• recognise geometric sequences and appreciate other sequences that arise.
And all good for lower tier at GCSE.
KS3/KS4
‘Derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon, and to derive properties of regular polygons.’
A simple example of a triangle sum proof, an investigation into angle sums in both PowerPoint and Word, for classwork or individual work, and plenty of questions for learners to try. Plus a PowerPoint illustrating a variety of tessellation for learners to consider the geometry involved, and hence deduce necessary angle properties.
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.
A great lesson for getting the learners to work together and do it for themselves. A matching card activity to get them started on a discussion of inequalities. A poster and a PowerPoint display are provided to remind learners of the symbols. An animated PowerPoint presentation of the solutions allows learners to say what they have before the answer pops up. A worksheet provides for consolidation of learning. And finally a quiz is provided for plenary, or recap at the start of the next lesson.
All files have been also provided in PDF form to appear correctly on any system.
This whole lesson always goes down very well in my classroom! And no work for teacher, after preparing the materials that is!
Two ways of approaching recognition and identifying properties of 3D shapes at KS1. Either match the shape from the description, or name and identify the properties of the shape. I've split them into the Year 1 and Year 2, and done one with the solids required in both years. Some can be simply given out, and some could be printed on card and cut out for a matching activity. All in Word or PDF. Plus a word search in two versions.
'Pupils handle and name a wide variety of common (…) 3-D shapes including: (…) cuboids, prisms and cones, and identify the properties of each shape (for example, number of sides, number of faces). Pupils identify, compare and sort shapes on the basis of their properties and use vocabulary precisely, such as sides, edges, vertices and faces.'
Two powerpoints are available on the free down downloads to accompany these worksheets.
https://www.tes.com/teaching-resource/maths-key-stage-1-3d-shapes-two-ppt-presentations-recognise-properties-and-recognise-shapes-11201174
All images (c) Colin Billett 2015
Year 4 - Geometry – properties of shapes
Two separate bundles of activities covering (a) triangles and (b) quadrilaterals, all for the new KS2 specifications. Specifically written for Year 4, they can easily be used at any level. In Word for editing or PDF for clear copies. Activities, worksheets and assessments, plus a short presentations on triangles and quadrilaterals. The presentations are included as PowerPoints and PDFs, to ensure at least one will open on any computer.
Statutory requirements
Pupils should be taught to:
• compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes
Notes and guidance (non-statutory)
Pupils continue to classify shapes using geometrical properties, extending to classifying different triangles (for example, isosceles, equilateral, scalene) and quadrilaterals (for example, parallelogram, rhombus, trapezium).
Pupils compare and order angles in preparation for using a protractor and compare lengths and angles to decide if a polygon is regular or irregular.
Everything needed for tree diagrams at Higher Tier - a presentation on probability rules for addition and subtraction, a PowerPoint on drawing tree diagrams, and a worksheet for the learners to answer questions on tree diagrams.
All photographs (c)2015 Colin Billett
Simplify and manipulate algebraic expressions to maintain equivalence by:
• multiplying a single term over a bracket
• taking out common factors
Card matching activity with rectangles in algebraic form, answers with and without brackets.
PowerPoint presentation with solutions for class checking. Worksheet of twelve questions each of expanding and factorising using same method, with boxes. Second PowerPoint for starter or checking learning. Three more short worksheets of mixed questions. Plus ‘objectives’ slide. All you need for this straightforward topic, and lots of opportunity for discussion.
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.
Everything you need for a full lesson or two to introduce trigonometry and the tangent ratio from similar triangles. Let the learners tackle the activities, or guide them through with PowerPoint presentations.
Presentations, worksheets, activities and solutions.
Please leave comments, suggestions or corrections.
Colourful and kinaesthetic resources for one or two lessons, bringing representation of shapes to life, with loads of examples and suggestions for learners to try themselves. Fully differentiated with examples from simple interpretation to Higher Tier GCSE, but accessible to all at some level. Matching activities, worksheets, quizzes and a recap. Huge potential for extension, co-operation and constructive and active learning. PowerPoint activities suitable for printing as hand-outs for all activities and especially extension questions.
All images (c) 2015 Colin Billett
