Transum Maths Software

Roots

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 Roots. 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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Roots Starters:

Comparing Cubes: Learn to find the cube root of a number to solve this problem comparing volumes given in different units.

Consecutive: Three consecutive numbers multiplied together give a given product. Pupils are asked to figure out what the numbers are.

Consecy Brothers: Which three consecutive numbers multiplied together give the given answer.

 

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

Featured Activity

Nine Digits

Nine Digits

Arrange the given digits one to nine to make three numbers such that two of them add up to the third. This is a great puzzle for practicing standard pen and paper methods of three digit number addition and subtraction.

 

Curriculum for Roots:

Years 7 to 9

Pupils should be taught to use conventional notation for the priority of operations, including brackets, powers, roots and reciprocals more...

Pupils should be taught to use integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5 and distinguish between exact representations of roots and their decimal approximations more...

Years 10 and 11

Pupils should be taught to {estimate powers and roots of any given positive number} more...

Pupils should be taught to calculate with roots, and with integer {and fractional} indices more...

Pupils should be taught to calculate exactly with fractions, {surds} and multiples of π ; {simplify surd expressions involving squares [for example √12 = √(4 × 3) = √4 × √3 = 2√3] and rationalise denominators} more...

Feedback:

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 1 February 'Starter of the Day' page by M Chant, Chase Lane School Harwich:

"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."

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"

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"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"

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"It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages."

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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Thanks again"

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"This is an excellent website. We all often use the starters as the pupils come in the door and get settled as we take the register."

Notes:

Pupils should learn how to find real roots associated with integer powers (square root, cube root and higher). They should also learn to distinguish between exact representations of roots and their decimal approximations. Just how do you find the cube root of a number? By trial and improvement, iterative calculations or by learning to use a calculator efficiently?

Roots Activities:

Bidmaze: Find your way through the maze encountering mathematical operations in the correct order to achieve the given total.

Estimate Powers and Roots: Estimate the powers and roots of the given positive numbers.

Surds: A self-marking exercise on calculating, simplifying and manipulating surds (also known as radicals).

Roots Videos:

Cube Root: This video from Corbettmaths explains what the term cube root means and shows how to cube root a number.

Cube Roots in 2 seconds!: Mentally calculate the cube root of any perfect cube of a number between 1 and 1000.

Roots External Links:

Links to other websites containing resources for Roots 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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Trick Or Treat

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A mathematical true or false general knowledge activity for Halloween. So far this activity has been accessed 8362 times and 198 people have earned a Transum Trophy for completing it.

 

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