Combining Transformations Formative Assessment Lesson

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This lesson is intended to help you assess how well students are able to recognize and visualize transformations of 2D shapes. Also assess how well students can translate, reflect, and rotate shapes and combine these transformations.

Big Idea

Engaging, hands-on activity asking students to apply transformations to map one image to another, multiple correct answers.


20 minutes

Formative assessment lessons from the Shell Center website always begin with a lesson pre-assessment.  This assessment is to be taken by all students as they work completely alone to complete as much as possible.  I let my students know that the assessment
questions are meant to be unique so that I can see their thinking as they work
to answer the questions.  The assessment
is not a grade in the grade book but instead a piece that lets me see what they
understand before completing an activity that will help them to perform better
on the assessment piece when it is taken again in a few days.  This working alone to solve unique problems
ties to math practice standard MP1 – make sense of problems and persevere in
solving them.    Give students about 15-20 minutes to work
without asking you or other students for help. 
I do allow students, however, to use tracing paper, rulers, or
protractors as they have need.  I put all
the supplies in the front of the room and allowed them to take what they needed
as they worked through the pre-assessment. 
Allowing students to use supplies directly connects to math practicestandard MP5 – use appropriate tools strategically.

All the details of the
 pre-assessment are located within the lesson plan, pages T1 – T3, T8, and S1-S2
at the following link:  The Shell Center is always revising and
improving the lessons, so it is recommended that you always pull lesson materials
from the website and resist the urge to download them all to the flash drive
for use year after year.  The main lesson
homepage is located at


Environment - creating cooperative groups 

I like to give the pre-assessment at
least a day in advance of beginning the activity because I use the
pre-assessments to look for common misconceptions among my students and I
develop guiding questions to ask throughout the activity that will address
these common problems.  The lesson plan
has some suggested questions on page T3 of the lesson guide.  I also use the pre-assessments to group
students for the collaborative activity. 
I use partnerships for the activity and I group students homogeneously
meaning, if two students struggled with the same content on the pre-assessment,
then I put them together as partners. 
Sometimes, I group students who answered the same questions correctly
through using two different processes and I want them to share their unique
thinking with their partner.  My goal
with strategically grouping students is to put together groups who will work at
the same speed, and work together to grapple with the same math content so they
will learn together.  I do not want to
group students where one student knows everything and the second is extremely
dependent or lazy.