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We are learning to …

recognize and apply connections across domains in the CCSSM.

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We will know we are successful when we can…

explain a specific example of coherence across domains.

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How can you describe the “lean” of the Leaning Tower of Pisa?

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

Poster Presentations

What did we find?

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The Teacher Perspective

What are the big ideas you would like students to understand?

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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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Making Connections What have I learned in this session?

What will I share at my schools? With whom/why? How?

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