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 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:

"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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"I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson."

Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, :

"I think these are great! So useful and handy, the children love them.
Could we have some on angles too please?"

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"

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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"Just a quick note to say that we use a lot of your starters. It is lovely to have so many different ideas to start a lesson with. Thank you very much and keep up the good work."

Comment recorded on the 17 June 'Starter of the Day' page by Mr Hall, Light Hall School, Solihull:

"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!"

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 19 June 'Starter of the Day' page by Nikki Jordan, Braunton School, Devon:

"Excellent. Thank you very much for a fabulous set of starters. I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated."

Comment recorded on the 3 October 'Starter of the Day' page by Fiona Bray, Cams Hill School:

"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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Recently Updated

Fractions by Wholes

Fractions by Wholes

An exercise on multiplying and dividing proper fractions and mixed numbers by whole numbers. So far this activity has been accessed 40 times and 4 people have earned a Transum Trophy for completing it.

 

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