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Learning Target:
You will determine congruence
of two-dimensional shapes.




Focus Question: How do you
know if two shapes are
congruent?
What do you see?
Questioning
What question(s) could you ask yourself to help
you understand if two shapes are congruent?




 Are the shapes the same size and shape?
Thinking Strategies:
 Can you visualize and summarize what it
 means for two shapes to be congruent?




Basically, congruent means “same size, same shape.”
Making Connections

List 10 pairs of items in our class that
     are congruent to each other
What do you see?
Questioning
What question(s) could you ask yourself to help
you understand if two shapes are similar?




          Are the shapes the same?
          If so, they are similar
Thinking Strategies:
Can you visualize and summarize what it
  means for two shapes to be similar?




          Basically, similar means
   “same shape, but could be different sizes”
Reflection
Look at your list of congruent
  items. What shapes are
  the congruent items? Why
  are they the same size?
  What would you have to
  do to two similar shaped
  items to make them
  congruent.
Making Connections

Do you see any congruent shapes
        in our classroom?
Did You Know?

Congruent:
Why such a funny word that
basically means "equal"?
Probably because they would
only be "equal" if laid on top of
each other. Anyway it comes
from Latin congruere, "to agree".
So the shapes "agree"
Investigating Congruent Shapes
 In this investigation:
 2. Each student will receive a card with a
      two-dimensional shape on it.
 3. Your task is to find a student who has
      a card with a two-dimensional shape
      that is congruent to the shape on your
      card.
 4. Be ready to explain why you think your
       shapes are congruent and (if not) why
      they aren’t congruent.                   card

We will do this 3 times.
Reflection
Identify a thinking strategy
(visualizing, inferring,
summarizing, connections,
schema, questioning,…) that
helps you understand what
makes two shapes congruent
and explain how this strategy
helps you understand.

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Congruent

  • 1. Learning Target: You will determine congruence of two-dimensional shapes. Focus Question: How do you know if two shapes are congruent?
  • 2. What do you see?
  • 3. Questioning What question(s) could you ask yourself to help you understand if two shapes are congruent? Are the shapes the same size and shape?
  • 4. Thinking Strategies: Can you visualize and summarize what it means for two shapes to be congruent? Basically, congruent means “same size, same shape.”
  • 5. Making Connections List 10 pairs of items in our class that are congruent to each other
  • 6. What do you see?
  • 7. Questioning What question(s) could you ask yourself to help you understand if two shapes are similar? Are the shapes the same? If so, they are similar
  • 8. Thinking Strategies: Can you visualize and summarize what it means for two shapes to be similar? Basically, similar means “same shape, but could be different sizes”
  • 9. Reflection Look at your list of congruent items. What shapes are the congruent items? Why are they the same size? What would you have to do to two similar shaped items to make them congruent.
  • 10. Making Connections Do you see any congruent shapes in our classroom?
  • 11. Did You Know? Congruent: Why such a funny word that basically means "equal"? Probably because they would only be "equal" if laid on top of each other. Anyway it comes from Latin congruere, "to agree". So the shapes "agree"
  • 12. Investigating Congruent Shapes In this investigation: 2. Each student will receive a card with a two-dimensional shape on it. 3. Your task is to find a student who has a card with a two-dimensional shape that is congruent to the shape on your card. 4. Be ready to explain why you think your shapes are congruent and (if not) why they aren’t congruent. card We will do this 3 times.
  • 13. Reflection Identify a thinking strategy (visualizing, inferring, summarizing, connections, schema, questioning,…) that helps you understand what makes two shapes congruent and explain how this strategy helps you understand.