Math Problem Solving & Investigation - Boundary Encounters Math Assessment
Timed 50-minute math investigation worth 50 marks, with 10 tasks that each deal with a boundary, from light bouncing off a surface to the perimeter of a fractal snowflake.

- Grades
- Grades 5–8, Elementary, Middle School
- File type
- Preparation
- Print ready
- Topic
- math assessment, math word problems
- Resource types
- Teacher Tools, Assessments
- Preparation
- Print ready
About this resource
What's inside this resource
This is a timed math assessment with 10 different tasks or problems to solve. Students will encounter different boundaries within math during this assessment, such as boundaries in sports or the perimeter of an object.
In the classroom
Teaching tips & learning objectives
Learning objectives
- Apply Pick's formula to find the area of a polygon
- Find the shortest path between two points on the surface of a cube
- Calculate the perimeter of a fractal snowflake over successive stages
Teaching tips
- One task is built on cricket scoring, so students unfamiliar with the sport may need its boundary rules explained before the timed start.
Skills covered
- Angle reasoning — working out reflection and refraction angles for light
- Pattern description — observing and describing an iterative pattern
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Resource details
Concepts & topics
Core concepts
- Pick's formula
- Reflection and refraction
- Perimeter
- Fractals
- Shortest path
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