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.
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.
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.
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. Using mathematics to solve problems using all four rules.
In Word and PDF for ease of editing or printing.
Big bundle of 10 worksheets for telling the time and drawing hands on a clock face, meeting the curriculum for Grade 2, in units of five minutes.
Precision drawn clock faces in Word and PDF for the learners to read the times, and draw missing hands on the clock faces – minutes, hours, and both minutes and hours.
Everything you need for teaching, learning and assessing ratio at KS4, GCSE.
Tests, presentations, classwork, homework, plus lots of exam style questions, duly adopted and adapted.
Ratio can be difficult for the learners, and especially so since it has become a more significant element of GCSE.
Using tables to help structure the questions is a new and extremely useful approach, one that many learners have found beneficial.
The questions are all adapted and reconfigured from past papers, and although originally set at GCSE they are equally useful for KS3.
The files consist of a presentation to demonstrate the method, plus worksheets at both Foundation and Higher Tier. All files are also included as PDFs so will appear the same on any operating system.
If some of the questions look relatively easy, there can be a huge difference between papers - those aimed at the top grades and those questions aimed at the middle.
Two activities - use code to do calculations, and match symbols to definitions and meanings. Simple activities to reinforce connection between image and function.
The National Curriculum in maths for Years 3 to 6 in Word documents. Full specifications, plus all attainment targets in tables.
Seventeen different files for flexible planning of Years 3 - 6 maths National Curriculum. All in Word for ease of editing.
Statutory requirements, both as list and a table for recording progress etc.
Notes and non-statutory guidance to keep as an appendix.
Full specs as one long continuous document, again, in Word for cutting and pasting where needed.
Specs Year 4'Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value.'
Year 5 'Read Roman numerals to 1000 (M) and recognise years written in Roman numerals.'
Thirty slides on an animated PowerPoint to introduce recognition of Roman numerals, and explore the advantage of Arabic numerals.
Plus lots of activities/worksheets, including Emperors' reigns, Roman roads, Olympiads, Children's TV (years), and answers.
All great fun, and could be cross-curricular.
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.
‘Work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 or 3/8); change repeating decimals into their corresponding fractions and vice versa.’
A simple investigation into which fractions terminate and which recur, on PowerPoint and in Word, with a big set of results in PowerPoint to encourage class discussion.
A PowerPoint presentation of the method, with some examples to do as a class or individually, plus a worksheet of fourteen questions, with answers. A clear and fully supported lesson.
Grade 4 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.
'5. Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way.'
All you need for a lesson covering:
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.
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 Kindergarten and Grade 1. 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 with two versions.
Plus a PowerPoint for class sharing and a PowerPoint showing real examples of each. UK common standards say, for Kindergarten and Grade 1 equivalent:
'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.'
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 for probability - 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
Math Grade 7
Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose the event.