Folding to Construct Shapes: Sentence Starters and Frames

Some ideas for sentence frames/starters that could be incorporated into your lesson are listed below.  If you think a sentence frame/starter will be helpful, consider how will it support students’ mathematical learning and/or development of academic language, and decide which sentence frame/starter (from the list below or that you create) would best support students’ learning. You may find that the starters and frames vary in level of difficulty, and plan to provide them to students accordingly.


(Question 1a)

To create a line segment perpendicular to the original line segment, I folded the paper


I know my new line segment is perpendicular to the original line segment because


(Part 2)

I know that the figure I created by folding has all of the properties of a square because I


(after part 3)

I know that the two triangles I have created in #2 and #3 are not congruent because:


(Before making folds for any question)

I predict that if I fold _________________________ then it will create ________________________________.

I know my new line segment is __________________ to the original line segment because the two lines form a 90-degree angle.

Academic Language

Students should have opportunities to see, hear, and write key mathematical ideas during this activity. There are some specific terms that students need to understand in order to engage in this task, and there are some additional terms and phrases that may surface as the students engage with the task. You may think of additional words or phrases that are key to this activity.  As the task is introduced, solved by the students, and discussed, ensure that students have opportunities to experience (i.e., through discussion, pictures, and the use of gestures) and to build understanding for key words and phrases. Examples of words and phrases that may be involved in work on this problem include:

·      line segment

·      construct

·      perpendicular, parallel, perpendicular or parallel line segment

·      perpendicular bisector

·      90 degree angle, intersect, point of intersection, midpoint

·      half

·      square

·      nonsquare rectangle, square, isosceles triangle, equilateral triangle

·      properties