PPT-ζ GCSE – Irrational Numbers and Surds

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Dr Frost Objectives Appreciate the difference between a rational and irrational number and how surds can be manipulating both within brackets and fractions Learning

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ζ GCSE – Irrational Numbers and Surds: Transcript

Dr Frost Objectives Appreciate the difference between a rational and irrational number and how surds can be manipulating both within brackets and fractions Learning Objectives By the end of this topic youll be able to answer the following types of questions. Indices and Surds Mgr. Oga Fill-in-the-blank:. Rational. or . Irrational. ?. 1) The sum of two rational numbers is ________.. 2) The product of two rational numbers is ______.. 3) The sum of a rational and an irrational is ____.. A case study of Bristol . Richard . Budd (Liverpool . Hope. . University). Anna Edwards (University of Bristol). Alf Coles (University of Bristol). Rosamund . Sutherland (University of Bristol). Ros.sutherland@bris.ac.uk. The Rules of Square Roots. Rational or Irrational?. . Never make the decision of rational or irrational until you have simplest form of the given.. If there is still . a radical or . . . in the final answer, then the number is IRRATIONAL.. A can be expressed as an exact fraction in the form . . , . where a and b are . Reminder: An is a positive or negative whole number. Examples: . 4 = 0.5 = 0.333. Ӟ. = . When it came to measuring quantities in dissimilar vessels, such a proportion could only be found by finding a unit of measure by which both vessels could be measured as a whole number .  . Anthyphairesis. Notices and the Website. Assignments. What is the symbol for ‘implies’?. Define proof by deduction.. What is a conjecture?. ⇒. Proof by deduction consists of a logical argument as to why the conjecture must be true. This will often require you to use algebra.. Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: . 2. nd. September 2013. Starter. Expand the following.. . ?. ?. ?. ?. ?. Recap: Basic Laws of Indices. . . . . . . ?. ?. ?. . . Updated March 2017. . Contents. What is happening, when?. Reformed GCSEs. Reformed AS and A levels. Changes to practical science. Resits . Information about my school/college. Changes to marking, reviews and appeals. Mr. Richard Sasaki. Objectives. Understand the meaning of rational numbers. Understand the meaning of surd. Be able to check whether a number is a surd or not. Be able to simplify surds. Rational Numbers. Objective. TSW identify the parts of the Real Number System. TSW define rational and irrational numbers. TSW classify numbers as rational or irrational. Real Numbers. Real Numbers are every number.. Therefore, any number that you can find on the number line.. 3 ½. ½. 3.45. 123.456…. Mixed Number. Fraction. Terminating Decimal. Repeating Decimal. Non-Terminating or Non-Repeating. Real Numbers. The set of . real numbers. is all numbers that can be written on a number line. It consists of the set of rational numbers and the set of . 3 ½. ½. 3.45. 123.456…. Mixed Number. Fraction. Terminating Decimal. Repeating Decimal. Non-Terminating or Non-Repeating. Real Numbers. The set of . real numbers. is all numbers that can be written on a number line. It consists of the set of rational numbers and the set of . Rational and Learning TargetStudents can identify numbers as being rational or irrationalAll REALnumbers are made up of RATIONAL IRRATIONAL numbersRational NumbersA rational number is a number that c

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