Math Investigations II is a continuation of the Math Investigations I curriculum, which exposed students to a variety of mathematics and mathematicians. But, Math Investigations I is not a prerequisite for the one-semester Math Investigations II course. However, the assigned problems for Math Investigations II course will require continued use of algebraic and geometric concepts that students have encountered in previous courses. Some of the problems will necessarily go into greater depth than those presented in Math Investigations I. Therefore, students will have to be more resourceful to be able to apply the correct mathematical reasoning and procedures to solve the more difficult problems.
Of course, these two semester courses are living documents in which the instructor is able to alter the material if so desired to better suit the needs of the students in the class. Alternatively, some of the topics may be used as enrichment activities or for the bases of diverse mathematical projects. Because TpT limits a maximum size of 200mb for products, I am breaking up the Mathematical Investigations II into four files: Math Investigations II (1st half) Math Investigations II (1st half answers), Math Investigations II (2nd half), and Math Investigations II (2nd half answers).
Some of the forty topics investigated include: Elegant Solutions, In Search of Patterns, Golden Ratio and Fibonacci Sequence, Non Transitive Dice, Fractals, Constructions, Famous Problems of Antiquity, Another Numeral System, Game Playing Strategies, Packing Problems, Barcodes, Eye Chart, Mathematical Mobile, Spatial Relationships