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This fun discovery and extension in the form of 10 tasks is a comprehensive unit on the Theorem of Pythagoras. It takes students through ten exciting tasks where they discover the necessity of the theorem of Pythagoras and then use it with a variety of real-life problems. 

Students …

  • work through the nuts and bolts of the theorem and how to calculate the hypotenuse (or any diagonal across a rectangle). 
  • experience the different practical, real-life applications of the theorem of Pythagoras. 
  • study Pythagorean triples and primitive Pythagorean triples.
  • learn how to create their own Pythagorean triples and primitive Pythagorean triples. 

The focus of many of the tasks is on problem solving and students will feel the satisfaction to solve real-life problems in a very unique way. Along the way students also discover some interesting Number Theory, through Pythagorean Triples and Primitive Pythagorean Triples and in the process they dust off substitution, factors, products, the multiplication tables and more.  

Theorem of Pythagoras, Problem Solving, Substitution, Number Theory, Factors, Prime numbers, coprime, relatively prime, Primitive Pythagorean Triples, Multiples

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