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.
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.
Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
Card matching activity with rectangles in algebraic form, answers with and without brackets or parentheses.
PowerPoint presentation with solutions for class checking. Worksheet of twelve questions each of expanding and factorizing 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.
An extremely useful resource that has almost unlimited application.
I've taken the GCSE Maths specifications for 2015 and converted them into MS Word tables, landscape and portrait, mostly fitting on to one side for each area - number, algebra, etc.
They can be used for planning lessons, schemes of work, cutting and pasting into lesson aims and objectives, or for recording pupil/learner achievement on each objective.
In Word they are very adaptable, and columns can be added as required, for dates etc.
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
