Indices Starters:Exponential Error: This lesson starter presents a number of statements about indices and pupils are asked if they can spot the mistake. The Power of Christmas: Find a power of 2 and a power of 3 that are consecutive numbers.
Small images of these Starters :: Index of Starters Indices Advanced Starters:Same Three Digits: Find ex Single Fraction: Simplify an expression involving fractions, exponents and a quare root.
Curriculum for Indices:Year 5Pupils should be taught to recognise and use square numbers and cube numbers, and the notation for squared (^{2}) and cubed (^{3}) more... Years 7 to 9Pupils 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... Pupils should be taught to interpret and compare numbers in standard form A x 10^{n} 1≤A<10, where n is a positive or negative integer or zero more... Years 10 and 11Pupils should be taught to simplify and manipulate algebraic expressions (including those involving surds {and algebraic fractions}) by: factorising quadratic expressions of the form x^{2} + bx + c, including the difference of 2 squares; {factorising quadratic expressions of the form ax^{2} + bx + c} and by simplifying expressions involving sums, products and powers, including the laws of indices more... 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 with numbers in standard form A × 10^{n}, where 1≤A<10 and n is an integer more... Years 12 and 13Pupils should be taught to understand and use the laws of indices for all rational exponents. more... Pupils should be taught to know and use the function a^{x} and its graph, where a is positive. Know and use the function e^{x} and its graph more... Pupils should be taught to know that the gradient of e^{kx} is equal to ke^{kx} and hence understand why the exponential model is suitable in many applications more... Pupils should be taught to understand and use exponential growth and decay; use in modelling (examples may include the use of e in continuous compound interest, radioactive decay, drug concentration decay, exponential growth as a model for population growth); consideration of limitations and refinements of exponential models more... Feedback: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 warmup activity for my Year 6 class. The range of questioning provided is excellent as are some of the images. 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 Comment recorded on the 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales: "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." 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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Is the collection available on CD? Are solutions available?" 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 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 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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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 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:Where do many fish live? Indices (in the seas!) This topic involves the use of the index, power or exponent. The concept is easily misunderstood and a surprisingly large number of pupils will evaluate 6^{2} as 12 and not 36.
Indices Teacher Resources:Estimate Powers and Roots: Estimate the powers and roots of the given positive numbers. Indices Activities:Estimate Powers and Roots: Estimate the powers and roots of the given positive numbers. Indices: A self marking exercise on indices (powers) including evaluating statements and solving equations. Indices Pairs: The traditional pairs or pelmanism game adapted to test knowledge of indices. Indices True False: Arrange the given statements involving indices to show whether they are true or false. Logarithms: Selfmarking exercises on evaluating logarithms and using them to solve equations. Standard Form: Test your understanding of standard form (scientific notation) with this selfmarking quiz. Standard Order: Arrange the numbers given in standard form with the smallest at the top and the largest at the bottom. Finally there is Topic Test, a set of 10 randomly chosen, multiple choice questions suggested by people from around the world. Alternatively, for the more advanced student, there is an evergrowing collection of ExamStyle Questions with worked solutions on the topic of Exponential. Indices Videos:Indices Song: A free trial lesson from Math Upgrade dot com. Working with Indices: Demonstrations of how to work with the laws of indices (powers). Indices Worksheets/Printables:Indices True False Cards: A set of printable cards to use with the laws of indices true or false activity. Indices External Links:Links to other websites containing resources for Indices 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: SearchThe activity you are looking for may have been classified in a different way from the way you were expecting. You can search the whole of Transum Maths by using the box below.

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