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 Indices. 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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### 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.

### 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 expressions which contain indices and evaluate to numbers containing the same digits.

Single Fraction: Simplify an expression involving fractions, exponents and a square root.

Index of Advanced Starters

#### Indices

A self marking exercise on indices (powers or exponents) including evaluating expressions and solving equations.

The short web address is:

Transum.org/go/?to=powers

### Curriculum for Indices:

#### Year 5

Pupils 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 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...

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 11

Pupils 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 13

Pupils 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 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

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"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 Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks."

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Keep it up and thank you!"

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Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School:

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"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."

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I rate this site as a 5!"

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Comment recorded on the 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne:

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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 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

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

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Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"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"

Comment recorded on the 9 May 'Starter of the Day' page by Liz, Kuwait:

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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.

After having mastered positive integer indices pupils should move on to negative indices and fractional indices. Exploring this topic in both numeric and algebraic ways will provide understanding and competence in this important concept.

### 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:

Transum's Indices Video

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:

### Search

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### Other

Is there anything you would have a regular use for that we don't feature here? Please let us know.

#### Logarithms

Self-marking exercises on evaluating logarithms and using them to solve equations.

The short web address is:

Transum.org/go/?to=logs

### Teaching Notes:

Many Transum activities have notes for teachers suggesting teaching methods and highlighting common misconceptions. There are also solutions to puzzles, exercises and activities available on the web pages when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.

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