Perfect Squares and Square Roots

Strand: Number
Outcomes: 1 and 2

Step 4: Assess Student Learning

Guiding Questions

Look back at what you determined as acceptable evidence in Step 2.
What are the most appropriate methods and activities for assessing student learning?
How will I align my assessment strategies with my teaching strategies?

Sample Assessment Tasks

In addition to ongoing assessment throughout the lessons, consider the following sample activities to evaluate students' learning at key milestones. Suggestions are given for assessing all students as a class or in groups, individual students in need of further evaluation and individual or groups of students in a variety of contexts.

A. Whole Class/Group Assessment

Examples of Whole Class/Group Assessment Word Document

B. One-on-One Assessment

Activity 1: Solve the following problems. Solutions should contain diagrams and written explanations.

Use square tiles to make as many rectangles as possible with 30 square units. Sketch your rectangles on grid paper. Is 30 a perfect square? Explain why or why not.
How do you determine if a number is a perfect square?
List the square numbers between 25 and 121. Show how you know each number is a perfect square.
Why is squaring a number the opposite operation to calculating the square root? Explain using an example.
lies between which two whole numbers? Explain how you know. Sketch a number line to show your answer.
How would you estimate ?

C. Applied Learning

Provide opportunities for students to use the knowledge they have gained about perfect squares and square roots and notice whether or not this knowledge transfers.

Activity 1: Given the area of a square, find the side of the square and the perimeter.

Activity 2: Apply knowledge of square roots with right triangles and the Pythagorean theorem.

Related Resources

Assessment in the Mathematics