Embedded Files
Youtube
Youtube
-There are over 100 maths skills and knowledge videos on the benwinter channel which are organised into topic playlists. These are used within the Winterteach lessons and are designed to be used by students. Here are links to a few of the playlists:
-There are over 100 maths skills and knowledge videos on the benwinter channel which are organised into topic playlists. These are used within the Winterteach lessons and are designed to be used by students. Here are links to a few of the playlists:
Games can be great for practising skills while maintaining attention, motivation and enjoyment. 24 and kenken are two such games. The original 24 game can be bought here in Asia and here in the UK, while an online version is available here. Kenken also has an iPad app here. See videos of these and other games and how to use them here.
Learning the 36 number facts (Learnits)
Learning the 36 number facts (Learnits)
Learning these basic facts using addition, subtraction, multiplication and division or Learnits is vital in building up fluency in calculation. 1:1 or 1:2 sessions give an opportunity to practise these facts in addition to regular individual practice.
Each of the +, -, x and ÷ Learnits questions (pdf) can be printed off on one side with the answers on the other.
Subtraction Online games to help with these number facts include Fruit Splat Subtraction, Catch the Stars and Maths invaders
Multiplication - you could start with this sheet with the facts in order first. You might then move onto this sheet with the facts mixed up.
When you put this into a plastic wallet, it allows you to test yourself, flip the page over and self mark. You can keep a note of these scores with a record of your time. It's also important to look for patterns in your mistakes.
This tracking sheet pdf can help you keep track of how you are getting on. Here is the googledoc version - you can copy this to use as a digital record for your child.
A good target to aim for is a time of 3s / fact or a time of 1m48s for the 36 facts.
This video shows you "How to use your mistakes as a personal tutor" and also gives you a way to recycle your cereal boxes!
Mad halves and doubles
Mad halves and doubles
These new sheets will help your develop speedy and accurate recall of halves and doubles facts.
Mad doubles and Halves 1 (doubles of numbers up to 10 and the corresponding halves) as well as some multiples of ten and one hundred.
Mad doubles and halves 2 - this links doubles of numbers to 10 with multiples of these numbers
Mad doubles and halves 4 - this sheet helps you practise finding half of numbers like 30, 50, 70, 110 etc. which have an odd tens digit.
Winterteach Mad fractions - 5 - halves - these questions help you to practise finding half of numbers such as 44, 34 and even 13
Winterteach Mad Fractions 6 - halves and doubles of numbers up to 3 and 4 digit, including some with decimal answers.
Mad Multiples
Mad Multiples
The Winterteach Mad Multiples sheet helps you to practise counting in multiples of some useful numbers. It is designed to be a spoken activity which can be done with a parent, older sibling or partner
Mad Fractions
Mad Fractions
When you have mastered the Learnits you can try these Mad fraction sheets. Print them in the same way as the Learnits (except portrait of course!) and build up to being able to answer them in under 3 minutes (this equals 3s per question) with no errors.
They do get quite tricky. To start with, forget about having a time target and simply try to solve them. If you find a question difficult to solve, make a note of it (perhaps mark it with a dot when you are practising). Make sure you ask for help if you need it during your Winterteach session.
Mad fractions 1 (the unit fractions)
Mad Fractions 1a (halves of numbers generally below 100 but with some odd numbers to spice it up!)
Mad fractions 2 (non unit fractions sheet) - thanks for the feedback from students such as K!
Mad Fractions 3 (adding fractions with the same denominator)again - thanks to K for valuable feedback!
Mad Fractions 4 (adding fractions with different denominators It is tricky and I would be impressed if you can solve it in under 6 minutes.
SUGGESTION: Start by splitting the sheet into 3 pieces and study the first third of it. Get your time down to under 2 mins then work on the second part
Mad Fractions 5 - Equivalent Fractions - This sheet allows you to practise recall of the more common equivalent fractions and decimals. The notation of a line over recurring (repeating) decimals is used. When learning these facts, it is very useful to know how to count in multiples if 125 before learning the eighths family of fraction decimal equivalents. See sheet here for some ideas.
WinterTeach Mad Fractions 6 mixed fractions and improper fractions
WinterTeach Mad Fractions 7 - Multiplying Fractions
WinterTeach Mad Fractions 8 - Simplifying Fractions
WinterTeach Mad Fractions 9 - simplifying fractions using product of primes
Mad percentages
Mad percentages
After fractions, it can be helpful to extend your mental fluency to percentages. Percentages can be thought of as parts out of 100. These sheets allow you to build up your knowledge gradually:
Mad Percentages 1 – 100%, 50%, 25%, 10%, 1%, 2%
Mad indices and roots
Mad indices and roots
Once you have mastered the four operations, it can be useful to extend your mental fluency to square numbers and square roots. These sheets allow you to build up your knowledge gradually:
Mad squares and roots 2 (Thanks to Bea for improving the sheet!)
Mad cubes and roots 1 This sheet is for very keen KS2 students or KS3 students.
Mad Algebra
Mad Algebra
Here are some algebra facts to practice. The number of sheets will increase - particularly if you find them useful! Feedback is really appreciated!
Mad Algebra 1 - You should quickly get used to these if you know your division Learnits facts
Mad Algebra 2 - These facts have an addition part. Thanks to C for finding errors and helping me correct the sheet. They are sometimes known as two step algebra problems.
Mad Algebra 3 - These facts contain a subtraction part. Thanks to C for helping to edit the sheet. They are sometimes known as two step algebra problems.
Mad Algebra 4 - This sheet includes a mixture of addition and subtraction of numbers as well as division. They are sometimes known as two step algebra problems. Thanks to C for help with editing the sheet.
Mad Algebra 5 - This sheet introduces square numbers to algebraic expressions. Thanks again to C for her valuable checking skills!. If you haven't already learned your square numbers up to 16, have a look at Mad squares and roots 3 first.
Bubbly Primes is an educational game (see website here) which I have recently discovered. Once you have learned your Learnits facts, learning prime numbers is a great thing to do. Prime numbers are numbers which only have the factors of 1 and themself. They are an important part of our number system and gan help us find lowest common multiples and lowest common denominators too. You can use the game to improve your recall of prime numbers, prime factors and composite numbers (non-prime numbers). Please let me know if you enjoy playing the game.
I've just discovered this site, Transition to Algebra, which has a lovely mobile application - as in a hanging mobile rather than a portable mobile. See link for a great way to apply knowledge of number system in a more algebraic way.
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