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A task designed to make simplifying algebraic fractions a little more interesting. Students are given 24 expressions and must use them to create 12 algebraic fractions (no repeats). The aim is to create 12 algebraic fractions that can all be simplified. I’ve provided a solution to show it is possible, but there may be more than one solution! I’ve used this with a Year 12 class but it could also be suitable for able KS4.

A Treasure Hunt on converting fractions to decimals and vice versa. Print off the questions and place them around the classroom. Students pick a starting point, answer the question and look for their answer at the top of a different card - this tells them which question to answer next. If they’re correct, they should end up back at their starting point after completing 20 questions. The number in the top right of each card is the question number. The solution is provided.

A way to make solving equations a bit more interesting! Students have to pick 2 of the algebraic expressions and set them equal to each other. They then solve the equation they’ve created, and hope the answer is one of the targets on the right hand side of the page. If not, they create another equation! When I use this in my lessons, I say the first person to create an equation with a target answer gets to “claim” that answer and gets their name on the board. I find the students are really motivated by this, and do a lot more practice than they usually would! Possible solutions are provided.

My attempt at making practice of multiplying and dividing negative numbers a little more interesting! Students are given completed multiplication grids - but the numbers around the outside (which can be negative or positive) are missing. Students have to work out where the numbers should go to give the completed grid. Solutions are provided.

A couple of activities on Frequency Trees (aimed at KS3). The worksheets are provided in pdf and Word, in case you want to make any edits. Solutions are provided. In “complete using the clues”, students are given 3 blank frequency trees, and 4 clues to go with each. They must use the clues to fill in each frequency tree. This requires some basic knowledge of fractions of amounts and ratio. In “true or false”, students are given a partially completed frequency tree and must fill in the remainder - this requires some basic number facts. Using their completed frequency tree, they must then decide which of the 13 statements at the bottom of the page are true. This will require some knowledge of fractions of amounts, percentages of amounts, and ratio.

This is very similar to the excellent activity from danielabbott89 - /teaching-resource/mean-from-a-frequency-table-amazon-reviews-6323431 However, the products in that resource are now a bit out of date, so I wanted to make a resource that would have a bit more longevity. Students have to work out the average (mean) rating given by Amazon users to various products - the data is real! The data is presented as a frequency table. Solutions are provided (to 2 decimal places). A good resource to use in a poster-making lesson!

Students are given a grid of one-step equations to solve. They’ll need 2 colouring pencils (any colours will do!) - one colour for even answers, and one colour for odd answers. I’ve included a file showing what the final image should look like! A nice activity for Friday Period 5!

In each block of the maze, students are given a value and a percentage they should decrease it by. An answer is given (the large number in each block). Students try to find a way through the maze, left to right, that only goes through correct answers (moving diagonally is not allowed!). Solutions provided.

Inside each shape are the instructions for the enlargement - the letter is the centre of enlargement, and the fraction is the scale factor. Unfortunately the letters which show the location of the centre of enlargement are quite small - sorry! Once all enlargements have been successfully completed, they should join together to create a short message. Solution included!

Next to each shape are the instructions for the enlargement - the letter is the centre of enlargement, and the number is the scale factor. Unfortunately the letters which indicate the centres of enlargement are quite small - sorry! Once all enlargements have been successfully completed, they should join together to create a short message. Solution included!

A Tarsia puzzle (jigsaw puzzle) on finding the nth term of Quadratic Sequences. Pieces need to be cut out, and students have to work out the nth term of each sequence, and match it with the answer. I wasn’t able to upload the Tarsia file itself, so you can’t make any edits unfortunately. There is a pdf document of the puzzle, and the solution is also included.

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.

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.

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!

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 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.

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.

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.