Modeling an Infectious Disease

This assessment was created in response to COVID-19 to give teachers resources to help them teach about the mathematics of infectious diseases. This assessment asks students to model (investigate) the number of new cases per day for a fictitious disease outbreak. They will then need to use the function that they find to make a determination (solving an authentic problem) about whether the disease is growing too quickly for the local hospitals to handle. The main concept that this assessment is targeting is exponential functions.

Math Concepts: Exponential functions Modeling Graphing of exponential functions Substitution in exponential functions
MYP Related Concepts: models representation
MYP Key Concepts: relationships
MYP Global Context: Scientific and Technical Innovation

Choosing the Best Heater

In this assessment, students are given several diagrams of a bedroom with labeled dimensions of the room and the furniture. Students are then tasked with choosing the best possible heater for the room based on several conditions, such as cost, fit, and space that the heater can heat. The different pieces of furniture of the room are of different shapes so students need to know how to calculate the areas and volume for each of them.

Math Concepts: area volume prisms cylinders optimization space
MYP Related Concepts: models space
MYP Key Concepts: aesthetics relationships
MYP Global Context: Orientation in Space and Time

Free

In this mathematical investigation, students explore patterns when radicals are raised to different powers (first even powers to help recognize patterns and then odd powers to check that the patterns they found actually works). Then, as they continue working with different radical expressions (raised to even and then odd powers), they discover the rules for writing radical expressions in exponential forms. In mark band 7-8, students expand their investigation into cube roots, 4th roots, and nth roots as well.

Math Concepts: power exponent radical surd square square root root
MYP Related Concepts: generalization patterns
MYP Key Concepts: logic
MYP Global Context: Scientific and Technical Innovation

Add and Subtract Unit Fractions

In this assessment, students will explore patterns in relation to the addition and subtraction of unit fractions. In Part A, students write down their understanding of unit fractions before considering a pattern for the addition of unit fractions. Then, in Part B, students carry out an unguided investigation in order to find patterns when a unit fraction is subtracted from another unit fraction.

Math Concepts: fractions unit fractions add fractions subtract fractions patterns numerator denominator
MYP Related Concepts: equivalence simplification
MYP Key Concepts: relationships
MYP Global Context: Identities and Relationships

Representing Global Presence

In this assessment, students investigate using areas and percentages to design a logo that represents the distribution of “Build-It” stores. Students are initially given a rectangular display, which they analyze and then compare and contrast to other data sets, one of which they select and use to design a new logo for the stores. To achieve Levels 7-8, students are required to design the logo, showing the percentage of the stores worldwide.

Math Concepts: percentages plane figures areas rectangle circle percentage percent plane figure area
Science Concepts:
MYP Related Concepts: models representation
MYP Key Concepts: relationships
MYP Global Context: Identities and Relationships