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Factors

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?

 

Small images of these Starters | | |  Complete Index of Starters

Featured Activity

Without Lifting

Without Lifting

Can you draw these diagrams without lifting your pencil from the paper? This is an interactive version of the traditional puzzle. Some diagrams are possible while others are not. What is the rule?

 

Curriculum for Factors:

Year 5

Pupils should be taught to identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers more...

Pupils should be taught to know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers more...

Pupils should be taught to establish whether a number up to 100 is prime and recall prime numbers up to 19 more...

Pupils should be taught to solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes more...

Year 6

Pupils should be taught to use common factors to simplify fractions; use common multiples to express fractions in the same denomination more...

Pupils should be taught to identify common factors, common multiples and prime numbers more...

Years 7 to 9

Pupils should be taught to use the concepts and vocabulary of prime numbers, factors (or divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation property more...

Feedback:

Comment recorded on the 2 April 'Starter of the Day' page by Mrs Wilshaw, Dunsten Collage,Essex:

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

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 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy:

"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."

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!!"

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."

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."

Comment recorded on the 7 December 'Starter of the Day' page by Cathryn Aldridge, Pells Primary:

"I use Starter of the Day as a registration and warm-up activity for my Year 6 class. The range of questioning provided is excellent as are some of the images.
I rate this site as a 5!"

Comment recorded on the 9 April 'Starter of the Day' page by Jan, South Canterbury:

"Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you."

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 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk:

"Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!"

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 two to nine.

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 about the properties of the numbers.

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.

Factors External Links:

Links to other websites containing resources for Factors are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below:

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Callum Arthur,

Tuesday, August 29, 2017

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