totally tangrams
TRANSCRIPT
Common Core Connection K: Identify and describe shapes; Analyze,
compare, create, and compose shapes. 1, 2 & 3: Reason with shapes and their
attributes. 4: Draw and identify lines and angles,
and classify shapes by properties of their lines and angles.
5: Classify two-dimensional figures into categories based on their properties.
Back in the day… Fun day Spatial Reasoning Mathematical story telling
…Moving Forward Justification through Construction
Mathematical & Spatial Reasoning
Modeling for You It’s your turn to the be the student. You will receive these presentation
slides if you want to use this lesson with your students, so sit back and participate!
If you are going to writeanything, track the geometryterms that we use and apply.
Step One
Describe the paper you have in front of you.
Step Two
Make your paper into a square. Before you cut, describe how you are positive, without a ruler, that you have a square.
Step Three
Make your square into two congruent, right triangles.How are these two triangles related to one another? How else could you classify them?
Step Four
Divide one of those triangles into two right, congruent triangles. How do these two triangles relate to one another?How do they relate to the original triangle? How do they relate to the square you started with?
Put the two smaller triangles to the side.
Step Five
Find the midpoint of the hypotenuse of the larger triangle. Fold the opposite vertex to meet that point. What two shapes do you have? How would you describe them? How do they relate to one another? Set aside the third triangle.
Step SixClose the corner of the trapezoid.Cut off the corner along the trapezoid edge.Cut the fold you made. Describe the shapes you’ve made. How do they relate to one another?How would you classify each one? Which ones can go together? Why?
Step SevenPut your name on all of your pieces!
Through Construction
What mathematical practices did we apply?
What’s Next?
Connect to ReadingRead Grandfather Tang’s Story
• Students will create shapes in story• Make cultural connections• How does the use of tangrams enhancethe story that Grandfather tells?
Other literature connections:http://www.mathwire.com/geometry/tangrams.html
Connect to Writing
• Have each student write all of the attributes of each piece on that piece.
• Look for key terms for them to use.• Eliminate a word and make them write
descriptions. For example, have them describe each piece but “outlaw” the words “triangle” and “quadrilateral.”
• Write your own story that you can create tangram characters for.
Connect to More Math
• Use rulers and protractors to analyze relationships among the pieces more.
• Have students create 3 different scaled versions of the tangrams. Describe the relationships of the pieces to one another, as well as analyze the process for making it.
• Don’t give the students any of the steps I gave you, and make them figure it out!