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

Tran Tunnels

Tran Tunnels

Answer the questions as you find your way through the tunnels. Collect coins on the way. There's a musical theme to this adventure game and you won't be able to complete it unless you solve all of the clues.

 

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 26 March 'Starter of the Day' page by Julie Reakes, The English College, Dubai:

"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."

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

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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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Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:

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

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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Recently Updated

Eleven In Your Head

Eleven In Your Head

Multiply numbers by eleven in your head. So far this activity has been accessed 6645 times and 136 people have earned a Transum Trophy for completing it.

 

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