MYP Assessment Task Bank

In this investigation, students learn how to create a fair game, i.e. a game that provides equal likelihood of “winning” to all players, as they explore a process to find cases in which the probability of taking out two marbles of the same color is equal to the probability of taking out two marbles of different colors.

Math Concepts: probability sample space tree diagram triangular numbers
MYP Related Concepts: equivalence patterns
MYP Key Concepts: creativity logic
MYP Global Context: Fairness and Development
In a large plantation, a plant got infected, mostly likely through some sort of insect or bug. The virus infecting the plant acts fast: in just one day not only does it spread to all closest plants, it also kills its original host plant. In this investigation students explore the spread of a virus on a plantation in different scenarios: at first the spread on plants planted in a row, then on plants planted in a rectangular grid, and finally on a hexagonal grid.

Math Concepts: sequence patterns
MYP Related Concepts: generalization systems
MYP Key Concepts: connections
MYP Global Context: Globalization and Sustainability
Solar panels are an alternative source of energy that can help protect our environment and fight climate change. One of the reasons that adoption of solar panels has been slow is because they are currently big, expensive, and are not as efficient as less environmentally friendly sources. However, this is changing as the design and science of this technology advances. This assessment asks students to help a school determine how many solar panels it should purchase based on area, energy output, and cost.

Math Concepts: rate surface area algebraic substitution multiplication with decimals percentages
MYP Related Concepts: models representation
MYP Key Concepts: change communication
MYP Global Context: Globalization and Sustainability
In this assessment, students investigate the sum of integers that are selected in a square grid of consecutive integers in a way that no two numbers are selected from either the same row or same column. Students begin the investigation by examining the 3 x 3 and the 4 x 4 grid, both with the starting number 1. Then, a closer look at the 3 x 3 grid (in Part B) and at the 4 x 4 grid (Part C) is concluded with discovering a general rule for the sum of the selected integers in the 3 x 3 and in the 4 x 4 grids. Finally, in Part D, to fully generalize the pattern, students examine the sum of selected integers in the k x k grid, with the starting number n.

Math Concepts: patterns sum sequence
MYP Related Concepts: change patterns
MYP Key Concepts: logic
MYP Global Context: Identities and Relationships
"Along with π and e, the golden ratio is a numerical celebrity. It is the ratio of side lengths on a very special rectangle. If you take this rectangle and cut the largest square possible off of it, you are left with another rectangle with exactly the same side length ratios as the first one. This construction defines a unique relationship between the lengths of the sides, and any rectangle whose sides have that relationship is called a golden rectangle." (Scientific American) In this investigation, we will look into the exact and the approximate values of these metallic ratios (also called metallic means), starting with the golden ratio, followed by the silver ratio, bronze ratio, and other metallic ratios.

Math Concepts: golden ratio silver ratio bronze ratio
MYP Related Concepts: patterns systems
MYP Key Concepts: relationships
MYP Global Context: Identities and Relationships