There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Factors. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

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### Factors Starters:

Abundant Buses: A game based around the concept of abundant numbers.

Factuples: Spot the factors and the multiples amongst the numbers in the grid.

Flabbergasted: If each number in a sequence must be a factor or multiple of the previous number what is the longest sequence that can be made from the given numbers?

Four Factors: Find four single digit numbers that multiply together to give 120. How many different ways are there of answering this question?

Hotel Digital: A puzzle about the lifts in a hotel which serve floors based on the day of the week.

Verruca Value: The Verruca Value of a word is the number of vowels multiplied by the number of consonants. How many words can you find with Verruca Value of 24?

#### River Crossing

Three interactive versions of the traditional river crossing puzzles. The objective is to get all of the characters to the other side of the river without breaking any of the rules.

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Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

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"I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable."

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"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

Comment recorded on the 10 September 'Starter of the Day' page by Carol, Sheffield PArk Academy:

"3 NQTs in the department, I'm new subject leader in this new academy - Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!"

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"Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities.
Thanks for such a great resource!"

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"My year five children look forward to their daily challenge and enjoy the problems as much as I do. A great resource - thanks a million."

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"Very good starters, help pupils settle very well in maths classroom."

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"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

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"What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun."

Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

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I rate this site as a 5!"

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"A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access the whole month so I can use favourites with classes I see at different times of the week. Thanks."

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"I would like to thank you for the excellent resources which I used every day. My students would often turn up early to tackle the starter of the day as there were stamps for the first 5 finishers. We also had a lot of fun with the fun maths. All in all your resources provoked discussion and the students had a lot of fun."

Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School:

"My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions."

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"This website was brilliant. My class and I really enjoy doing the activites."

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"Dear Transum,

I love you website I use it every maths lesson I have with every year group! I don't know were I would turn to with out you!"

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Comment recorded on the 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, :

"We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much
Best wishes from Inger Kisby"

Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:

"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

Comment recorded on the 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast:

"My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please."

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"I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson."

### Notes:

A factor is a whole number that divides exactly into another whole number. We say the first number is a factor of the second number. Prime numbers only have two factors, one and themselves.

After becoming familiar with times tables pupils then practice using this knowledge by recognising factors of numbers. There are well known and some less well known divisibility tests that are of some use in solving more complex number problems.

Pupils need to know how to find the highest common factor (HCF) of two or more numbers either mentally or using a pen and paper strategy so that they can correctly manipulate fractions and algebraic expressions.

### Factors Teacher Resources:

Number Grids: Investigate the properties of number with these interactive number grids.

Prison Cell Problem: A number patterns investigation involving prisoners and prison guards.

Sieve of Eratosthenes: A self checking, interactive version of the Sieve of Eratosthenes method of finding prime numbers.

### Factors Activities:

Connect 4 Factors: This a game for one or two players. The winner is the first to line up four numbers with a common factor.

Delightfully Divisible: Arrange the digits one to nine to make a number which is divisible in the way described.

Divisibility Test: Practise using the quick ways to spot whether a number is divisible by the digits 2 to 9.

Factor Trees: Create factor trees to find the prime factors of the given numbers.

Factorising: Practise the skills of algebraic factorisation in this structured online self marking exercise.

Fizz Buzzer: The digital version of the popular fizz buzz game. Press the buzzers if they are factors of the counter.

HCF and LCM: Practise finding the highest common factor (H.C.F), sometimes called the greatest common divisor, and the lowest common multiple (L.C.M) of two numbers.

Number Grids: Investigate the properties of number with these interactive number grids.

Prime Labyrinth: Find the path to the centre of the labyrinth by moving along the prime numbers.

Prison Cell Problem: A number patterns investigation involving prisoners and prison guards.

Satisfy: Place the nine numbers in the table so they obey the row and column headings.

Scallywags and Scoundrels: Arrange the scallywags and scoundrels on the chairs so that the numbers of any two sitting next to each other add up to a prime number.

Sieve of Eratosthenes: A self checking, interactive version of the Sieve of Eratosthenes method of finding prime numbers.

Stamp Sticking: Drag stamps onto the envelopes to make the exact postage as shown at the top left of each envelope.

Three Ways: Find three different ways of multiplying four different digits together to get the given target number. There are nine levels for this online challenge.

Times Square: Practise your times tables with this self-checking multiplication grid

### Factors Investigations:

Aunt Sophie's Post Office: Investigate the ways of making up various postage amounts using 3p and 8p stamps. An online stamp calculator is provided for you to check your working.

### Factors Videos:

Finding Prime Factors: A straight forward explanation from SLEP

HCF and LCM explained: This video from Mathsmaster.org shows very clearly the step by step method of finding the LCM and HCF of two numbers.

HCF and LCM explained part 2: This video from Mathsmaster.org shows very clearly the step by step method of finding the LCM and HCF of two numbers using Prime Factorisation.

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#### Online Logo

An online version of the Logo programming language with 30 mathematical challenges. So far this activity has been accessed 21356 times and 739 people have earned a Transum Trophy for completing it.

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Callum Arthur,

Tuesday, August 29, 2017

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