Here is the problem for this week: (a) What are the values of the following products? (b) Hence find the following product in terms of n, (n an integer and at least 2). You can download the pdf solution here. Teacher notes: Level of difficulty: First part accessible for all students. Second part accessible forContinue reading “Week 9: Disappearing Fractions”
Category Archives: proof
Week 8: Hunting Integers
Here is the problem: Teacher notes: Level of difficulty: The first parts of this are accessible for all. The last part would be accessible for strong HL students. Syllabus knowledge required: None. This is a good introduction to the need to check that all solutions are found! It is likely that students will miss lotsContinue reading “Week 8: Hunting Integers”
Week 7: A Reciprocal Sum
Week 7: A Reciprocal Sum This is a bit of a longer problem – and could be expanded to start a nice investigation. The problem is given below: Teacher notes: Level of difficulty: Only HL Syllabus knowledge required: This mixes a knowledge of graphs, ideas in formal proof and differentiation. This is a good introductionContinue reading “Week 7: A Reciprocal Sum”
Week 6: Sum of 3 Cubes
Week 6: Sum of 3 Cubes (a) How many of the following numbers in the table can you form as the sum of 3 cubes of integers? (You can use negative integers if you wish). (b) Research what the solution is for 30 and 33! (c) Can you find a pattern that describes the numbersContinue reading “Week 6: Sum of 3 Cubes”