<p>Resource for introducing Trigonometry, providing practice on labelling triangles, sometimes given the angle, sometimes given one of the sides.<br /> Following the principles of variation and mastery, the triangle stays the same throughout the worksheet, and only the orientation or the given information changes</p>

<p>Practice Grid of scientific notation questions (positive powers only), turning into expanded form before moving to scientific notation. Employs variation theory both horizontally and vertically (in the initial stages) Found very useful to support pupils who were struggling.</p>

<p>Worksheet working through calculating scale factor and area scale factor of 4 sets of shapes. Through use of variation, the linear scale factor is increasing by 1 each time, allowing the results to become the sequence of square numbers. Class discussion can then take place looking at what has happened and why</p>

<p>Worksheet for pupils to work through working from integer division, establishing pattern and langauge, through dividing 1 by a fraction, then 1/2 and then 1/3</p> <p>Fractional division is modelled by bar models, and with variation applied to the sequencing of the questions, the aim is to help pupils to discover and understand the mechanism for dividing by a fraction</p>

<p>Worksheet/Activity where pupils are given the input and output of a function machine, and need to create several function machines to make it work</p>

<p>Worksheet employing variation which introduces pupils to quadratic functions. There are 9 functions in total, x squared is in the middle, and each other question moves the graph one step in the appropriate direction.</p> <p>Pupils should already know how to factorise and express in completed square form. Next step from here is to look at finding the roots, and the turning point of a function.</p>

<p>Perimeter Investigation with Variation</p>

<p>Revision worksheet for Speed Distance and Time, incorporating sequencing of questions, which allows pupils to self-check, as well as giving pupils the opportunities to ‘reverse engineer’ questions, and mindfully create their own.</p>

<p>To introduce Simultaneous Equations, start with drawing the equations of the straight lines. Questions are designed using variation to promote mathematical thinking.<br /> We then work through different methods of solving simultaneous equations: equating variables, and substitution. Only then will we look at elimination (we have a perfectly adequate text book to provide practice questions for this - so I have not created worksheets - once we have worked through this unit I may change my mind :-) )</p>

<p>Resource to help support pupils who want to go straight to solving, without forming an equation first.</p> <p>First page are straightforward, second a bit more interesting with brackets, negatives and given function machine, write the sentence and equation. Given the equation, write the sentence and complete the function machine.<br /> Final one is just the solution so they will need to work backwards and create.</p> <p>Uploaded as word so you can adapt to your hearts content</p>

<p>Worksheet for pupils to practice multiplying decimals by a single digit. This is a topic in the Scottish N4 Applications of Maths curriculum that I struggled to find resources for. Created this to offer something different than a page from a text book.</p> <p>Uploaded as word and pdf - feel free to change the numbers in the word doc</p>

<p>Worksheet on Wave Function from Higher Maths Curriculum. Sheet incorporates variation theory, exploring a single question from both the graphical standpoint, and calculation for k sin(x +a), k sin(x-a), k cos(x+a) and k cos (x-a) developing a deeper understanding of the purpose of the wave function calculations ans what they represent.</p>

<p>Matching activity involving mixed numbers and top heavy fractions. Includes a pictorial representation, as well as some which involve simplification</p>

<p>My class have been struggling with integer work, so I have created this task employing variation to help them to see patterns in the numbers and start to understand what is going on</p>

<p>A set of 8 extension activities that should apply across most contexts in maths, to promote mathematical thinking, problem solving and deeper learning. They are set up to be printed and laminated then can be issued as cards to pupils requiring extension.</p> <p>This is by no means exhaustive, but is a starting point which can be added to :-)</p>

<p>Selection of activities to help develop understand place value - looking at it from multiple directions to give deeper understanding</p>

<p>Revision worksheet for simplifying surds, following the principles of variation, incorporating sequencing of questions to allow pupils to self check their own work, ‘reverse engineer’ questions and create similar questions of their own. There are also opportunities to explain their thinking.</p>

<p>Worksheet for Adv Higher maths to practice language, notation and calculations for Combinations in preparation for using with pascal’s triangle and the binomial theorem<br /> Last row requires a little bit of problem solving / trial and error… aimed to act as a lead in to 6 choose 4 being equivalent to 6 choose 2</p>