Rational and irrational numbers



Rational and irrational numbersyear 10 Maths Australian curriculum Learning objectivesACMNA264: understanding that the real number system includes irrational numbers and that certain subsets of the real number system have particular properties.ACMNA264: applying the index laws to numeric and algebraic expressions and evaluating or simplifying as needed.Resources requiredRational and Irrational Numbers captioned online video. (Duration: 7 minutes.) NB: this video cannot be viewed on mobile devices such as smartphones or tablets, or viewed with captions on Full Screen mode. Use the default view setting.Access to Internet/computers for homework/extension tasks. Table scaffold or mind map x class setLesson outcome: students explain difference between rational and irrational numbers and apply these skills through problem solving.Lesson outline:Introductory activity - students write down their initial answers to the question, ‘What do you think is the difference between a rational and irrational number?’Teacher facilitates discussions based on initial impressions and students construct a table/map including definitions of rational and irrational numbers. Teacher instructs students to fill in their table/mindmap of properties of rational and irrational numbers while they watch the Rational and Irrational Numbers clip from OverstreamStudents complete rational numbers worksheet (attachment)Go through answers to worksheet with class and identify gaps in learning (answers are on the last two pages of the worksheet attachment)Consolidation: students design a rap/rhyme/comic strip to teach their peers about the differences between rational and irrational numbers including examples to show they can apply their learning. (Optional scaffold included for students and a marking criteria for presentations)Presentations of students rap/rhyme jingles and evaluation.Homework/extensionStudents complete multiple choice activities using the Internet from myTestBook website.Opportunity for further activityStudents research Fibonnaci and his theory on irrational numbers and complete worksheet activities from Maths Is Good For You. ................
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