MYP Maths eAssessment - 3 practice investigation problems

Three varied and unique investigations created in the same format as the MYP mathematics eAssessment to provide students with additional support and practice. Markschemes with worked solutions are included for self-assessment, peer marking or teacher feedback.

Linked to the three key concepts, each investigation comes with a visual context showing how the sequence emerges. Students are prompted with the command terms to spot patterns, predict, find rules, test and/or verify and justify according to the usual eAssessment structure which includes a structured investigation in part 1 and a more open investigation in part 2.

Investigation 1: Changing tangents (relationships)

Requires understanding of functions, straight line graphs including finding the equation of a line and perpendicular gradients. Leads to a simple arithmetic sequence but lends itself to a rigorous proof.

Investigation 2: Growing trapeziums (form)

Requires identification of Pythagoras’ theorem and area of a trapezium. Leads to geometric sequences which may require understanding of exponent laws to justify/prove.

Investigation 3: Counting quads (logic)

A very accessible investigation which just require logic and counting. Leads to quadratic rules but these can be found by looking for patterns rather than formal methods of finding second differences etc. A worded justification is appropriate rather than a proof.

Perfect for practice after going through one full investigation with the class and teaching them the fundamentals of this part of the eAssessment (lesson 4 of the eAssessment pack).