Pythagorean Theorem Differentiated Instruction for Use in an ...
Pythagorean Theorem Differentiated Instruction for Use in an ...
Pythagorean Theorem Differentiated Instruction for Use in an ...
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Objectives<br />
Students will be able to:<br />
identify the hypotenuse <strong>an</strong>d legs of a right tri<strong>an</strong>gle<br />
state the <strong>for</strong>mula <strong>for</strong> the <strong>Pythagore<strong>an</strong></strong> <strong>Theorem</strong><br />
use the <strong>Pythagore<strong>an</strong></strong> <strong>Theorem</strong> to calculate the lengths of the sides of a right tri<strong>an</strong>gle<br />
use the <strong>Pythagore<strong>an</strong></strong> <strong>Theorem</strong> to identify right tri<strong>an</strong>gles<br />
New York State St<strong>an</strong>dards<br />
7.G.5 Identify the right <strong>an</strong>gle, hypotenuse, <strong>an</strong>d legs of a right tri<strong>an</strong>gle<br />
7.G.6 Explore the relationship between the lengths of the three sides of a right tri<strong>an</strong>gle to<br />
develop the <strong>Pythagore<strong>an</strong></strong> <strong>Theorem</strong><br />
7.G.8 <strong>Use</strong> the <strong>Pythagore<strong>an</strong></strong> <strong>Theorem</strong> to determ<strong>in</strong>e the unknown length of a side of a right<br />
tri<strong>an</strong>gle<br />
7.G.9 Determ<strong>in</strong>e whether a given tri<strong>an</strong>gle is a right tri<strong>an</strong>gle by apply<strong>in</strong>g the <strong>Pythagore<strong>an</strong></strong><br />
<strong>Theorem</strong> <strong>an</strong>d us<strong>in</strong>g a calculator<br />
7.N.16 Determ<strong>in</strong>e the square root of non-perfect squares us<strong>in</strong>g a calculator<br />
7.RP.7 Develop, expla<strong>in</strong>, <strong>an</strong>d verify <strong>an</strong> argument us<strong>in</strong>g mathematical ideas <strong>an</strong>d l<strong>an</strong>guage<br />
7.RP.8 Justify <strong>an</strong> argument by us<strong>in</strong>g a systematic approach<br />
7.CM.9 Increase their use of mathematical vocabulary <strong>an</strong>d l<strong>an</strong>guage when communicat<strong>in</strong>g with<br />
others<br />
7.CM.10 <strong>Use</strong> appropriate l<strong>an</strong>guage, representations, <strong>an</strong>d term<strong>in</strong>ology when describ<strong>in</strong>g objects,<br />
relationships, mathematical solutions, <strong>an</strong>d rational<br />
NCTM St<strong>an</strong>dards<br />
Compute fluently <strong>an</strong>d make reasonable estimates<br />
Analyze characteristics <strong>an</strong>d properties of two- <strong>an</strong>d three-dimensional geometric shapes <strong>an</strong>d<br />
develop mathematical arguments about geometric relationships<br />
Recognize reason<strong>in</strong>g <strong>an</strong>d proof as fundamental aspects of mathematics<br />
<strong>Use</strong> the l<strong>an</strong>guage of mathematics to express mathematical ideas precisely<br />
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