# Assessing understanding via constructing test items

By | August 3, 2011

Assessing understanding of mathematics can also be done by asking students to write test items.  Here’s my favorite assessment item. I gave this to a group of teachers.

Year level: Third year (Year 9)

Question 1 – What is the distance of P from the origin?

Question 2 – What is the area of circle P with radius equal to its distance from the origin?

Question 3 – With P as one of the vertex, draw square with area 2 square units.

Year level: Second year (Year 8 )

Question 1 – Write the equation of the line that passes through P and the origin.

Question 2 – Write 3 equations of lines passing through (2,1).

Question 3 – Write the equation of the family of lines passing through (2,1).

Year level: First year (Year 7)

Question 1 – What is the ordinate of point P?

Question 2 – Locate (-2, 1). How far is it from P?

Question 3 – Draw a square PQRS with area 9 square units. What are the coordinates of that square?