MHB How best to teach the division algorithm?

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To effectively teach the division algorithm, engaging real-life applications can enhance student interest and understanding. Examples such as distributing items evenly, budgeting, or sharing resources can illustrate its practical use. Moving beyond dry proofs and numerical examples to interactive activities or visual aids may also help. Incorporating group work or problem-solving scenarios can make the learning experience more dynamic. Ultimately, the goal is to present the division algorithm in a relatable and stimulating manner.
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What is the best way to introduce the division algorithm? Are there real life examples of an application of this algorithm. At present I state and prove the division algorithm and then do some numerical examples but most of the students find this approach pretty dry and boring. I would like to bring this topic to live but how?
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matqkks said:
What is the best way to introduce the division algorithm? Are there real life examples of an application of this algorithm. At present I state and prove the division algorithm and then do some numerical examples but most of the students find this approach pretty dry and boring. I would like to bring this topic to live but how?
​

Let's organize a party for 31 people (adjust the numbers to the desired difficulty level).
We have a supply of 18 liters of punch and we can get 5 drinks out of each liter.
How many drinks can we fairly serve each person?
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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