MYP Assessment Task Bank

Cistercian Numerals

Cistercian Numerals
In this assessment, students investigate patterns in Cistercian numerals to see how, after the initial numbers 1-9 are established, the same symbols drawn on the stave can be used to represent two-digit numbers. Working through Cistercian numerals up to four-digit numbers, students learn to not only identify Cistercian numerals but also draw them based on place values indicated by the symbol’s placement on the stave.
Math Concepts: place values patterns integers
MYP Related Concepts: patterns quantity
MYP Key Concepts: relationships
MYP Global Context: Identities and Relationships
Details
Grade level: 6
Level: Standard
Criteria: B
Rating: 0

Area Under Lines

Area Under Lines
In this assessment, students investigate the area under the graph of linear functions, in the form of y=mx+c for various values of m. (In MYP4S, students only investigate areas under linear functions with c=0). In MYP4#, students investigate areas with c>0 as well).)As students explore these areas, they are guided to recognizing mathematical formulas for the areas in terms of m and n (which is the x-coordinate of point C, a vertex of the triangle. At the end, students are asked to investigate areas (MYP4S: triangles; MYP4E: trapezoids) using their own methods and verify (and justify for Achievement Level 7-8) their area formula.
Math Concepts: linear function area triangle trapezoid gradient intercept pattern Geogebra
MYP Related Concepts: change patterns
MYP Key Concepts: relationships
MYP Global Context: Identities and Relationships
Details
Grade level: 9
Level: Extended, Standard
Criteria: B, C
Rating: 0

Reuleaux’s Garden

Reuleaux’s Garden
In this assessment task students learn what Reuleaux triangles are, how we draw them, and how their areas (and their partial areas) are calculated. This is done in the context of designing a flower park where different regions of equilateral triangles and Reuleaux triangles form regions for different flower types. Students will need to use SOHCAHTOA and area of triangle formulas to find various areas of the garden to determine how much space there is for each type of flower to be planted.
Math Concepts: SOHCAHTOA sine rule cosine rule area of triangle area of circle area of sector circle sector
MYP Related Concepts: models space
MYP Key Concepts: form
MYP Global Context: Orientation in Space and Time
Details
Grade level: 9
Level: Extended
Criteria: C, D
Rating: 0

Areas of Circular Garden Spaces

Areas of Circular Garden Spaces
A famous garden designer has decided to use intersecting circles as part of his latest design. Students will need to use either the sine rule or Pythagoras’ theorem to find various areas of the garden to determine how much space there is for each type of flower to be planted.
Math Concepts: sine law Pythagoras theorem circle geometry triangle properties area of circle circle
MYP Related Concepts: models space
MYP Key Concepts: form
MYP Global Context: Orientation in Space and Time
Details
Grade level: 9
Level: Standard
Criteria: C, D
Rating: 0

Patterns in Pronics

Patterns in Pronics
In this assessment, students are guided through a process to discover a geometric pattern. Then, following their findings, students are asked to suggest an algebraic formula to find the next term in the pattern. Then, students are given a brief description of recursive formulae and are asked to write their explicit formula as a recursive formula. Finally, in the last part of the task, students discover additional patterns in Pronic numbers, namely in the sum of reciprocals of consecutive Pronic numbers, which then they describe and verify with further examples.
Math Concepts: patterns sequences pronic numbers reciprocals fractions
MYP Related Concepts: patterns
MYP Key Concepts: relationships
MYP Global Context: Identities and Relationships
Details
Grade level: 7
Level: Standard
Criteria: B
Rating: 0