This leads to the generalisation that meaning x power of onen is. How do you compute negative numbers to fractional powers. Our new crystalgraphics chart and diagram slides for powerpoint is a collection of over impressively designed datadriven chart and editable diagram s guaranteed to impress any audience. Zero and negative indices rule 4 rule 5 7 page 115 exercise 5a and 5b 8 fractional indices this gives us rule 6 9 4 revision page 116 117 exercise 6a and 6b. To understand fractional indices, consider the following examples.
Index notation and fractional indices whole unit teaching. Use index laws for positive and negative powers index laws using the index laws to simplify a3. Fractions indices fraction mathematics multiplication. Jan 17, 20 algebra and indices 9d6 x 8d3 12e10 x 6e4 24f8. I really dont understand this, if you could explain that would be great. As learning progresses they are challenged to consider indices with negative and fractional powers. We can then divide both sides of the equation by 37 to determine the value of 30 zero property of exponents a nonzero number to the zero power is 1. Negative powers negative powers are interpreted as follows. Includes small investigations and mini plenaries to get the pupils thinking. Oral hygiene index simplified the simplified oral hygiene index ohis differs from the original ohi the oral hygiene index in the number of the tooth surfaces scored 6 rather than 12, the method of selecting the surfaces to be scored, and the scores, which can be obtained. In other words, the expressions have index or indices in fraction form.
In the first activity students have to represent an integer value in as many ways as they can, each way to include an index value. Fractional and negative indices teaching resources. The next two links cover negative and fractional indices respectively. Whole lesson used with a middle year 9 and 10 class but ready to edit for your needs. Mar 24, 20 the corbettmaths video tutorial on negative indices. Chart and diagram slides for powerpoint beautifully designed chart and diagram s for powerpoint with visually stunning graphics and animation effects. Diagrams are not accurately drawn, unless otherwise indicated.
Able to multiply and divide terms with the same base able to raise a power to another power able to simplify terms with negative indices 15. Mathematics linear 1ma0 fractional and negative indices materials required for examination items included with question papers ruler graduated in centimetres and nil millimetres, protractor, compasses, pen, hb pencil, eraser. Jun 01, 2017 a lesson i have prepared on fractional and negative indices. The first is indices dominoes by teachit maths a really nice activity, with the added bonus that the answer is written backwards so students cant cheat by guessing the words. Download powerpoint download notebook download flipchart download worksheet. I was just wondering how someone would compute say. Card set a pairs activity is really useful when youve taught fractional and negative indices. A practice on laws of indices, negative and fractional indices. Ppt indices and surds powerpoint presentation free to view id. Apply the multiplication properties of exponents to problems involving zero exponents and negative exponents. Fractional and negative exponents linkedin slideshare. Raising to a power takes precedence over the unary minus sign. A worksheet with harder questions on laws of indices, powers and roots, zero, negative and fractional indices.
Negative and fractional indices examples, solutions, videos. Negative fractional exponents youtube indices, surds, and logarithms gce study buddy. Explore more than 26 negative numbers powerpoint resources for teachers, parents and pupils as well as related resources on negative numbers worksheet. The corbettmaths video tutorial on negative indices. Previous topic previous slide next slide next topic. Fractional and negative indices help for aqa maths mod 3 higher show stepbystep solutions rotate to landscape screen format on a mobile phone or small tablet to use the mathway widget, a free math problem solver that answers your questions with stepbystep explanations. Negative indices are all exponents or powers that have a minus sign in front of them and are as result negative. They are quite easy to deal with as there is only one thing that you have to do. Maths is fun has useful applets to help you understand the basic idea of indices, plus an easy to follow summary of the rules. In the first activity students have to represent an integer value in as many ways as they can, each way. How to calculate the reciprocal of a number and evaluate indices with negative powers. The first link below is the same as for the topic indices laws and also covers negative indices and an index of zero. Negative and fractional indices by mr mattock on prezi. The rules of indices index law for powers of quotients n7a calculating with positive and negative integer.
Ks4 indices negativefractional powers teachit maths. The rules of indices index law for powers of quotients. Summarising the above, we can conclude that example 2. The hexagons on the powerpoint slide reveal answers when clicked. The index laws apply to fractional indices as well as positive and negative integer indices. By applying the product of powers property to the following example, we find that. Fractional indices page 3 of 3 june 2012 exercises exercise 1 evaluate the following expressions. Series of slides, questionsexamplesstarters i have used recently on negative fractional indices.
I have used other lessons from tes and added my own interpretation as well as added some additional questions. Negative and fractional indices examples, solutions. You might just want some questions for a bit of practice. Browse by topic and download free pdfs or subscribe for access to multiple formats. Includes working with fractions, mixed numbers and decimals recurring decimals in some cases.
Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. Negative indices you should be pretty confident with simple numerical indices by now. Ppt indices and surds powerpoint presentation free to. Using square and cube numbers and their roots they progress on to more complex terms where the base can also be a fraction. This pack contains a power point that is broken up into two lessons which covers index notation and fractional indices. Writing in index form, multiplication of indices and division of indices. Negative and fractional indices teaching resources. The resource features a number of activities dealing with negative indices and fractional indices. Edexcel gcse mathematics linear 1ma0 fractional and negative indices materials required for examination items included with question papers. A lesson i have prepared on fractional and negative indices. I know that if a negative number is raised to an odd power it is negative, but fractional powers are neither odd or even. Fractions indices free download as powerpoint presentation.
These videos were donated to the channel by steve blades of maths247 fame. The square root of 3 is the number that, when multiplied by itself, equals 3 and is written as. So lets move on to some negative and fractional indices. If you continue browsing the site, you agree to the use of cookies on this website. Answer the questions in the spaces provided there may be more space than you need. Match pairs of numbers that are reciprocals of each other, and circle the number that is left over in each box. Negative and fractional indices treasure hunt 6 6 an activity which can be used as a treasure hunt or dominoes containing some demanding fractional and negative indices questions and allows opportunity to practise substitution into expressions containing indices. Mathematics linear 1ma0 fractional and negative indices. Covers laws of indices including fractional and negative indices, solving equations involving indices igcse fm syllabus and raising a single term to a power. Download powerpoint download notebook download flipchart download worksheet download interactive excel file. Covers laws of indices including fractional and negative indices, solving.
Indices with negative powers gcse mathematics lesson and worksheet. Negative and fractional powers mcindices220091 in many calculations you will need to use negative and fractional powers. I know that if a negative number is raised to an odd power it is. Ppt laws of indices powerpoint presentation free to. Dec 31, 2014 the first is indices dominoes by teachit maths a really nice activity, with the added bonus that the answer is written backwards so students cant cheat by guessing the words. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance 1. If the answer is not exact give the decimal approximation to two decimal places. So we can conclude that meaning x power of onethird is equal to the cube root of x. Good resource to test understanding of fraction and negative indices.
Students use reciprocals to evaluate indices with fractional and decimal powers. Deliberate practice evaluating numbers with fractional andor negative indices in the form of a game. The questions are presented in a hexagon grid that students are able to write on andor play a range of games, including blockbusters. Download powerpoint download notebook download flipchart download worksheet download interactive excel file schemes of work link indices and standard form higher related blog.
Fractional indices are expressions in surds or irrational form. Lets now look at 64 we can express the above expression also as 64. For a more enjoyable learning experience, we recommend that you study the mobilefriendly republished version of this course. Best magic show in the world genius rubiks cube magician americas got talent duration. Indices with fractional powers gcse mathematics lesson and worksheet. A powerpoint resource that introduces the laws of indices. This resource from susan wall contains five activities designed to enable students to explore indices both numerically and algebraically. A worksheet on simplifying expressions with indices. Core 1 indices 5 fractional and negative fraction powers. Indices negativefractional powers all our ks4gcse maths teaching resources in one place.
So multiplied by itself thrice gives 64, and multiplied by itself thrice also gives 64. Read each question carefully before you begin answering it. A free powerpoint ppt presentation displayed as a flash slide show on id. Students learn how to calculate the reciprocal of a number and evaluate indices with negative powers. I have also included a bingo activity to recap basic laws of indices before moving onto the more difficult content.
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