1. Ohhh what a Square! Developed by: Kenny Turnipseed Uwe Hoffmann

2. Occupational Area: Construction CTE Concept: Framing a foundation. Math Concepts: Properties of Rectangles, Pythagorean Theorem

3. Lesson Objective: Students will be able to construct framework consisting of a four-sided shape with four right angles. Student will understand its application within the construction field and recognize its geometric relationship in other contexts. Supplies Needed: Tape Measure, String, Two 2”x4”x8’, Circular Saw, Hammer, Nails 1#16dup, Pencil, Cardboard, Scissors, Tape

4. 1. Introduce the CTE Lesson We want to clarify the difference between being “a square” and being “in square”. I am going to show pictures of different shapes associated with the term square.

5. “A Square” vs. “In Square” a squarein square

7. “In Square” vs. “Not In Square” in squarenot in square

9. 2. Assess Students’ Math Awareness as it relates to the CTE Lesson Knowing, that you are in a construction class, and after seeing the pictures, what might be the same and/or the difference by defining “a square” and “in square”? We will go ahead and use two 2”x4”x8’ and cut them in half. Lay out the pieces to construct a 3’x4’ frame. Cross tape the frame to assure it is “in square”.

10. 3. Work through the Math Example embedded in the CTE Lesson Framework has four right angles, two equal diagonals, diagonals are part of a right triangle formed by two sides of the frame work, calculate the diagonal by applying the Pythagorean Theorem (PT). Draw a diagram of the framework, including the diagonals. Identify the right triangles within the diagram and label the sides.

11. 4. Work through related, contextual Math-in-CTE Examples If the framework would be a window or a door, what would be the procedure to prove that they have right angles? Please draw a 2’0’x2’0 window frame. Calculate the diagonals to assure right angles. Please draw a 3’0’x6’8” doorframe. Calculate the diagonals to assure right angles

12. 5. Work through traditional Math Examples. Assume the legs of a triangle are 6 in and 8 in. Find the length of the hypotenuse. A triangle has sides of 10 cm, 12cm, and 15 cm. Is the triangle a right triangle? Justify your answer.

13. 6. Students demonstrate their Understanding Students use cardboard to construct and cut a rectangular cardboard framework. Explain the procedure and how to assure that the framework is “in square”. Use cardboard, scissors, and tape.

14. 7. Formal Assessment Assessed by construction of class project. Written test covering geometric properties of rectangles, PT calculations, including structural drawing. Draw a sketch of an 8’ x 10’ patio. Label. Find the length of the diagonals to ensure “in square”.