This is an inquiry based lesson to support students understanding the Pythagorean theorem.
In the blank graphs provided, you can have students draw two legs measured 3 units and 4 units. Tell them the hypotenuse measures 5, and then have them square each side. In the other graph, have them draw a triangle with legs 6 and 8 units, and have them attempt to find the length of the hypotenuse. This takes time and students will struggle, but it is worth them coming up with the equation on their own and then testing it for both triangles. In about 45 minutes, even my struggling students came up with the equation.
There are 4 practice problems that follow, with steps provided for solving for a missing hypotenuse.