Tillymaths1992's Shop
I provide high quality Maths resources, for KS3-5. I am a Second in Department at an academic school in the North West England. Follow me on Twitter to hear about new resources: @TillyMaths1992
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I provide high quality Maths resources, for KS3-5. I am a Second in Department at an academic school in the North West England.
Follow me on Twitter to hear about new resources: @TillyMaths1992
All resources
Comparing data
A lesson on comparing data using the averages and the range.
It is based around sporting data from 2021, and includes a fully animated powerpoint and a worksheet with answers.
It covers how to pick the most appropriate average, including the advantages and disadvantages of each. Follows are worked examples of how to compare data.
A few edits have been made to change some incorrect answers on slide 1
Averages and the range
A full lesson covering finding the averages and the range.
There are worked class examples and activities embedded (fully animated with answers).
There is also an activity on problem solving with averages and the range - finding numbers to meet criteria.
More resources available and updates on new resources available on TillyMaths1992.
Also please leave reviews.
Measures of location and spread large data set questions
I have created some questions based around the skills learnt in Chapter 2 of Statistics (Edexcel Yr 1 Statistics and Mechanics). However I felt that my students would benefit with more practice on working with the large data set. As such all of these questions are working with data from the Large Data Set provided by Edexcel, to ensure that they build familiarity with the data.
Answers are provided and reviews appreciated.
Please follow on twitter to get updates of new resources.
Data Collection Revision Crossword (Unit 1 Edexcel Statistics and Mechanics)
This is a quick crossword which tests students knowledge of the key definitions covered in Unit 1 of Statistics (Edexcel A Level Maths Yr 1).
It covers key definitions such as Census and Population but also covers the units of measurement in the large data set. Also covered are the types of sampling (random and non-random)
Could be used as quick and easy revision activity or plenary at the end of the unit.
Reviews are appreciated.
Follow me on Twitter to get updates of new resources.
Bundle
Primes, squares, cubes and roots
This bundle includes my lessons on the following:
Squares, cubes and roots
Divisibility tests
Product of primes
HCF and LCM
I would normally teach them in the above order. These lessons provide enough material for at least an hour on each. All lessons have full answers and are designed to be challenging (and non-calculator). My students enjoy learning the history behind subjects and why we learn them, so the lessons incorporate this where possible. All lessons include full activities and stretch and challenge possibilities. Topics covered include:
Squaring/Cubing/Square rooting/Cube rooting
Divisibility tests up to 11
Primes up to 100
Expressing as product of primes
Using prime factorisation to find all factors and square roots of numbers
HCF and LCM by prime factorisation (venn diagram) including when numbers are given in prime factorised form
HCF and LCM written problems
Extensions link to UKMT problems
Reviews are much appreciated!
Squares, cubes and roots
This lesson runs through squaring, cubing, square rooting and cube rooting.
At each point it covers the history and background of the topic, and also the key skills associated.
This is a non-calculator lesson and is based around them learning and being familiar with the first 15 square numbers and 8 cube numbers.
There are two embedded activities based around the above, and included is my pixel colouring activity on squares, cubes and roots.
There is also a challenge activity based on Waring’s problem for cubes.
Reviews are appreciated and more lessons can be found on my shop.
Squares, cubes and roots pixel colouring
An activity to test knowledge of squaring, cubing, square rooting and cube rooting. Pupils need to answer the questions and then colour all the corresponding squares the assigned colours. Answers are included.
There is also a full lesson available on this topic, where this activity is included. Please see my shop.
Reviews are appreciated.
HCF and LCM
This resource is designed to be used after my lessons on divisibility tests and product of primes. This full lesson covers finding the HCF and LCM using prime factorisation. It includes some written problems and also finding HCF and LCM when numbers are given as product of primes. The lesson is fully animated and contains solutions throughout.
Product of Primes
This resource was used with my high ability Year 7 students. This could be used for higher year groups or adapted for other ability groups.
I used this after my lesson on Divisibility tests (available for free).
It covers firstly the Sieve of Eratosthenes, then why we would find the prime factorisation.
There is then examples of how to express a number as a product of primes, and a worksheet on this. The lesson then progresses to using the prime factorisation to find all the factors of a number and roots of a number.
The lesson has all answers provided.
Divisibility Tests
This resource was made for my Year 7 group. It was the first of a set of lessons on factors, multiples and primes, and was designed to teach them some key tests to help decide if a number was prime.
I printed the slide with the key divisibility tests on, and the pupils used whiteboards for slides 7 through 10. I also printed the grid of questions for them to work through on Slide 11.
The challenge questions at the end were used to stretch my more able and are based on those from the Junior Maths Challenge.
Quadratic Inequalities
A full lesson on quadratic inequalities. The starter is solving by factorising. It then has full worked examples and questions/answers on sketching quadratics. It then leads on to fully worked quadratic inequality examples, and then has a differentiated solving quadratics activity. The harder ones require rearranging, making them also suitable for A-level. The plenary is a spotting mistakes activity, which will allow you to see which students fully understand the topic.
Pythagoras' Theorem Stack up
A worksheet to test they can find missing sides of a right angled triangle, with the added step of finding the area at the end.
I recommend my class use surds for accuracy, if however you allow them to round it does lead to interesting discussions about why their answers are slightly different.
Pythagoras' Theorem Worksheets
A set of worksheets for Pythagoras’ Theorem.
One is for when the hypotenuse is missing, and includes problem solving and applied questions.
The second is mixed questions including again problem solving type questions.
Solutions are also provided.
They are suitable for more able KS3 and Foundation/GCSE candidates
Pythagoras' Theorem Series of lessons
Please be reassured that when downloaded the slides are all properly formatted and animated, the preview does not do justice.
This is a 3 lesson pack for teaching Pythagoras’ Theorem. I would aim this at top level foundation and higher as some of the questions are higher order and involve applying other skills. It includes questions on missing hypotenuses and shorter sides, as well as applied questions leading to finding areas of isosceles/equilateral triangles and other shapes. Included are also questions on missing diagonals in squares and rectangles. Answers are included for all (including worked solutions for all questions and exam questions), and I would recommend calculator use throughout.
World records - Metric length conversions
An activity based around current world records, requiring students to convert between mm, cm, m and km.
Some are multi-step requiring conversions from mm to m etc
Metric Conversions
A lesson on converting between mm, cm , m and km.
It includes a starter on rounding.
It works through a flow chart conversion method, and examples.
There is then a short differentiated activity on converting units of length.
There is also included a more difficult conversion activity based on world records, answers are within the lesson
Unscramble the clue - Division with Money
A worksheet on dividing money. The amounts are all decimals, and build to written problems!
Answers are on the second sheet. They answer the questions, each giving them a letter, and then unscramble them to get the answer to a clue.
E.g. for a city, you might get the letters, kory, and they would unscramble to give York
Written methods
A lesson on written methods. It could be used for KS3 or upper KS2.
Included is a powerpoint which works through the following:
- initial understanding check
- Multiplying by numbers ending in .5, with differentiated activity and answers
- Addition and subtracting , with defuse the bomb activity
- Addition and subtracting with decimals, with Tarsia activity
- Then a lesson involving dividing decimals, all problems centred around money. There is an unscramble on this including written problems.
This should be a couple of lessons worth of work!
The powerpoint is set to a pink background for my dyslexic students but this could be changed easily!
Expressing quantities as fractions
A whole lesson on expressing quantities as fractions of other amounts. There a simple questions, which expand to involve questions where you express shaded amounts of shapes as fractions of whole shapes.
Sharing in ratios
A complete lesson on sharing in ratios. Includes a burglary activity which I found on here, but can't remember who shared it!