# 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

# Covering a Wishing Well

In this assessment, students work through two different methods of finding the area of a cover for a circular wishing well using only rectangular pieces with as little extra material as possible. Throughout the task, students apply methods of approximation to get increasingly closer to the actual area of a circle, at first by using a square grid (Achievement Levels 1-4) and then by using an increasing number of rectangular strips (Achievement Levels 5-8). Students explain the level of accuracy and whether their method makes sense.

Math Concepts: circle area of circle estimation area of rectangle Pythagoras' theorem
MYP Related Concepts: space
MYP Key Concepts: form
MYP Global Context: Scientific and Technical Innovation