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3 ‘basic’ Reciprocal Graphs to be plotted and then 3 more (involving graph transformations) that are a little more complicated! Solutions provided.

2 worksheets on finding the Gradient of a Straight Line - on one sheet, all the gradients are positive integers; on the other, they’re all negative integers. Solutions provided. I’ve also included the Powerpoint files I used to make the worksheets, in case you want to make any changes.

Inspired by the “Settler” activities on Mathsbox that I really enjoy using. Students have 20 questions to complete on Dividing Decimals by Integers - they cross off their answers in the Answer Grid as they move through the worksheet. Once they’ve finished, there will be 5 numbers in the Answer Grid that haven’t been crossed off - they add these numbers up. Full solutions provided. I’ve included a pdf file with 2 copies of the worksheet, and also an editable Powerpoint file in case you want to make any changes.

A Treasure Hunt on Multiplying Decimals. Print out the questions and place around the room. Students decide which card they want to start on. Students answer the question in the large white box, and look for their answer at the top of a different card - this tells them which question to answer next. They then repeat the process, and if they’re correct, they should end up back at their starting point after 20 questions. Solution is provided.

A short investigation I use each time I introduce straight lines of the form x = a and y = b. The idea is that students choose 4 co-ordinates on each line and write them in the given table. They then deduce the equation of the line by looking at the pattern in the co-ordinates they listed. Powerpoint file included in case you want to make any edits to my worksheet, and solutions provided.

A division worksheet I made to help my Year 7s practise giving their answers as decimals, instead of just writing the remainder. Full solutions provided, and I’ve also provided the PowerPoint file I used to create this in case you want to make any edits. I designed this to be similar to the “Settler” worksheets you may have seen on Mathsbox, which I use a lot! Students complete each question, then cross their answer off in the Answer Grid (if they can’t find their answer, they’ve made a mistake!). Once all 20 questions have been completed, there will be 5 numbers in the Answer Grid that haven’t been crossed off. Add these 5 numbers up to get the final answer.

This worksheet (with 15 questions) guides students through the process of finding the equation of a tangent to a circle. I used this with a class of grade 5/6 Higher students, who I thought would probably struggle with the topic without any support. I’ve tried to make the worksheet gradually harder as students work their way through the questions - e.g. the y-intercept is mostly an integer, except for the final few questions. Full solutions are provided.

I like to use the grid method for expanding double brackets, and then I use the grid method “in reverse” to factorise non-monic quadratics. To introduce this idea of working “in reverse”, I created these 2 worksheets. Students are already given the four terms inside the grid, and they have to determine what the brackets around the outside must be.

I wanted a resource where students had to factorise monic quadratics that only had positive terms, so I created this task. Students factorise each of the given quadratics into double brackets. They cross off each bracket in the grid at the bottom of the page - each bracket appears multiple times, but it doesn’t matter which one they cross off. Once students have factorised every quadratic, their grids will probably all look different, but they will all have 8 letters left that weren’t crossed off that can be re-arranged to spell BUDAPEST.

A simple worksheet on Dividing Mixed Numbers - nothing fancy. 12 questions for students to complete. Once students have completed a question, they cross off the answer at the bottom of the page - if they can’t find their answer, they’ve made a mistake somewhere. There are 15 answers, so 3 won’t be used.

A task I designed to challenge some high-ability students. There are 9 questions on Multiplying Mixed Numbers, each one missing a digit. Students have to work out the missing digit in each calculation. Each of the numbers 1 - 9 will be used exactly once. Answers are provided.

A simple worksheet on Multiplying Mixed Numbers - nothing fancy. 12 questions for students to complete. Once students have completed a question, they cross off the answer at the bottom of the page - if they can’t find their answer, they’ve made a mistake somewhere. There are 15 answers, so 3 won’t be used.

This resource is for students who are confident with Linear and Quadratic Sequences. It covers: Finding the nth term of a linear sequence Finding the nth term of a quadratic sequence Generating sequences Verifying whether a given number is in the sequence Finding missing terms in linear sequences Full answers are provided.

A simple game to give students some practice of algebraic substitution. Due to the competitive element and using dice, I find that students quite enjoy it! Students roll a die - the number rolled is their x value. They substitute their x value into one of the expressions on the grid - the answer is the number of points they score this round. Play then passes to the next student who repeats the process (although they can’t pick any algebraic expressions that have already been chosen).

2 worksheets on the topic of Iteration, with answers provided. Each worksheet is available as a pdf and a Word document, in case you want to make any changes. In worksheet #1, all the answers are integers. I find this helps students understand the idea of a recursive formula, as they can perform all the calculations in their head. Students are given a recursive formula and the value of x1, and must calculate the values of x2, x3 and x4. They then cross off their answers in the grid at the top of the page. Once they’ve finished the entire worksheet, there will be 6 numbers in the grid they haven’t crossed off. These 6 numbers add up to 100. This is a nice, quick way for you to check that your students have completed the task correctly! The content on worksheet #2 is more challenging as students will need to know how to use the ANS button on their calculators in a recursive formula. This is just a simple practice worksheet - students write down the values of x2, x3, and x4 in the spaces and then move on to the next question.

A short matching task on the Area of a Circle in terms of Pi. Students calculate the area of each circle, and cross off the answer in the grid at the bottom. It will probably take your students only 5 minutes to complete! Task is available as a pdf or as a powerpoint, in case you want to make any changes.

A Tarsia puzzle that covers “simple” Trig. Equations such as 4 sin x = 1. A few of the equations require knowledge of the identity tan x = sin x / cos x. Students solve the equations and match them up to the answers on another piece. When completed, all the pieces join up to make a hexagon. As space on the puzzle pieces was limited, I’ve used a code to tell students the range in which they are looking for solutions. For example, if an equation is followed by (A), they are looking for all solutions between 0 and 360 degrees. You will need to display the code on the board whilst students complete the puzzle. I wasn’t able to upload the Tarsia file, just a pdf copy of the puzzle pieces, so you won’t be able to edit the task, sorry.

Designed for Higher GCSE Students to review their knowledge of equations of straight lines, in particular finding the equation: Between 2 points When given the gradient and a point When given a parallel line and a point Also requires an understanding of the relationship between the gradients of two lines that are perpendicular. In each line of the table, students are given some of the information about a straight line - and have to fill in the missing information!

This Powerpoint covers the 5 Sampling Techniques covered in Chapter 1 of the Applied Textbook for Edexcel Year 12 / AS Maths, namely: Simple Random Sampling Systematic Sampling Stratified Sampling Quota Sampling Opportunity Sampling To try and make the content a little bit more interesting, I introduce these techniques using Skittles (eating them is a nice treat at the end of the lesson!).

A Tarsia activity to help students become familiar with function notation f(x), by substituting values into functions, composite functions, and inverse functions. There are 16 pieces to the puzzle - students substitute values into functions and match that piece up to its answer on another card. When completed, the 16 pieces form a square. To make things a bit more challenging, some functions do not have an answer to match with - these will go around the outside of the completed square. The 3 functions f(x), g(x) and h(x) that students need to complete the puzzle are in the PNG file - these can be projected onto the whiteboard while students work. Note that I haven’t provided students with the Inverse Functions - students must derive them on their own. Sadly, I was not able to upload the Tarsia file itself, just a pdf version, so you cannot make any edits yourself.