Connie Laughlin Hank Kepner Rosann Hollinger Cynthia Schoonover Kevin McLeod Mary Mooney 1.
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Transcript of Connie Laughlin Hank Kepner Rosann Hollinger Cynthia Schoonover Kevin McLeod Mary Mooney 1.
We will know we are successful when we can…
explain a specific example of coherence across domains.
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With a partner… Draw three new right triangles on the line.
Each should be a different size. Label each triangle with as much information as you can.
What do these triangles have in common? What are some relationships among these
triangles?5
ApplyWhat if I draw a right triangle for this line with a horizontal change of 40? How big will the vertical change be?
What if I draw several right triangles on a different line? Can I still use the same ratio to find a missing vertical or horizontal change?
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With your partner…Scan the Grade 8 Standards.Identify standards that appear to
relate to the lesson.Link two of the standards you
chose to highlight the connections between them.
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Grade 8Equations and Expressions
Understand the connections between proportional relationships, lines, and linear equations.
6. Use similar triangles to explain
why the slope m is the same
between any two distinct points on
a non-vertical line in the
coordinate plane…
Geometry
Understand congruence and similarity using physical models, transparencies, or geometry software.
5. Use informal arguments
to establish…about the
angles created when parallel
lines are cut by a transversal.
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The Logical Argument Parallel sides of the right triangles are parallel lines
crossing a transversal. Therefore, the parallel lines make congruent angles with
the traversals. Therefore, any two triangles are similar (AA~). Therefore, the ratios of corresponding sides are equal.
This explains why the slope is the same between any two distinct points on a non-vertical line in a coordinate plane.
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We are learning to recognize and apply connections across domains in the CCSSM.
We will be successful when we can explain a specific example of coherence across domains.
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