Basic worksheet that presents the Pythagorean Theorem clearly and reinforces concept with problems. Includes definitions and characteristics of right triangles and the Pythagorean theorem. The sheet is pretty self-explanatory so students tend to have minimal questions. Useful for keeping students engaged if you need to do some quick preparation or grading. It is short and appears simple but designed to connect to different activities and fit existing lesson plans.
Students find a missing side for two special triangles using the Pythagorean Theorem. First problem is guided, showing the process of applying the theorem and having the student fill in blanks. This provides a guide for doing the second problem.
Teacher can show how students could find the sides faster by using special triangles - transition to discussion of special triangles: 3 – 4 –5, 5 – 12 – 13, and all triangles similar to those.
Can also have students use a protractor and ruler to measure sides and angles of the triangles (or just give the students the angles and sides). Then, discuss how the largest angle (always the right angle) corresponds to the longest side (the hypotenuse) and the smallest angle corresponds to the shortest side.
Aligned with PA Standards.
C. Measure angles in degrees and determine relations of angles
D. Estimate, use and describe measures of distance, rate, perimeter, area, volume, weight, mass and angles.
E. Describe how a change in linear dimension of an object affects its perimeter, area and volume.
B. Discover, described and generalized patterns, including linear, exponential and simple quadratic relationships.
C. Create and interpret expressions, equations or inequalities that model problem situations.
D. Use concrete object model algebraic concepts.
D. Identify, name, draw and list all properties of squares, cubes,… triangles, prisms and cylinders.
A. Compute measures of sides and angles using proportions, the Pythagorean Theorem and right triangle relationships.
B. Solve problems requiring indirect measurement for length of sides of triangles.