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:Calendar Riddle: Work out the date of my birthday from the clues in rhyme. Eight to the Unknown: Solve the equation using the laws of indices Exponential Trigonometry: Find, in degrees, all eight of the solutions to the given exponential, trigonometric equation Index Equation: Solve x squared equals sixteen to the power of x Same Three Digits: Find ex Single Fraction: Simplify an expression involving fractions, exponents and a square root. SuggestedIndices A self marking exercise on indices (powers or exponents) including evaluating expressions and solving equations.
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 10n 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 x2 + bx + c, including the difference of 2 squares; {factorising quadratic expressions of the form ax2 + 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 × 10n, 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 ax and its graph, where a is positive. Know and use the function ex and its graph more... Pupils should be taught to know that the gradient of ekx is equal to kekx 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... Exam-Style Questions:There are almost a thousand exam-style questions unique to the Transum website. Feedback:Comment recorded on the 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne: "Very good starters, help pupils settle very well in maths classroom." 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!" 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 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." 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." 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Keep up the good work" 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." 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 14 October 'Starter of the Day' page by Inger Kisby, Herts and Essex High School: "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." 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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 62 as 12 and not 36.
Indices Teacher Resources:Estimate Powers and Roots: Estimate the powers and roots of the given positive numbers. Indices Activities:Indices: A self marking exercise on indices (powers or exponents) including evaluating expressions and solving equations. Indices Pairs: The traditional pairs or pelmanism game adapted to test knowledge of indices. Standard Form: Test your understanding of standard form (scientific notation) with this self-marking quiz. Standard Order: Arrange the numbers given in standard form with the smallest at the top and the largest at the bottom. Estimate Powers and Roots: Estimate the powers and roots of the given positive numbers. Power Play: Exercises on powers and roots and simplifying index expressions involving numbers of the same base. Indices True False: Arrange the given statements involving indices to show whether they are true or false. Power Shift: Arrange the given numbers as bases and indices in the three-term sum to make the target total. Standard Form Algebra: Deeply test your understanding of standard form (scientific notation) by involving a little algebra. Dr Tim's Indices Challenge: Dr Tim Honeywill has come up with these challenges to test your understanding of indices and algebra. Logarithms: Self-marking exercises on evaluating logarithms and using them to solve equations. 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 ever-growing collection of Exam-Style Questions with worked solutions on the topic of Exponential. Indices Videos:Indices Video: Indices, exponents and powers can all be used as a short way to describe repeated multiplication. Indices Song: A free trial lesson from Math Upgrade dot com. Standard Form Video: Learn how to write and calculate with numbers in standard form - sometimes called scientific notation. Indices In Depth: An in depth look at the topic of indices from beginning to end. Indices Worksheets/Printables:Indices Eye Test: Two novelty printable (A3 size preferably) optician-style eye test charts containing indices which can be evaluated mentally as a fun, classroom visual aid. 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.
OtherIs there anything you would have a regular use for that we don't feature here? Please let us know. SuggestedLogarithms Self-marking exercises on evaluating logarithms and using them to solve equations.
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Thursday, April 6, 2023