Lesson 12- Completing the square
Lesson Objective: Students will use Algebra Tiles to explore and generalize the process known as completing the square in order to rewrite quadratic in equations in vertex form.
During the lesson students will be given a bag of Algebra Tiles, and are asked with a partner to create a square using one of the of the blue squares and combination of the green rectangles and small yellow squares.
Students are then asked on a sheet of paper to write down their own definition of a square. Response will be shared during the class discussion.
Then the teacher will provide the following information:
During the lesson students will be given a bag of Algebra Tiles, and are asked with a partner to create a square using one of the of the blue squares and combination of the green rectangles and small yellow squares.
Students are then asked on a sheet of paper to write down their own definition of a square. Response will be shared during the class discussion.
Then the teacher will provide the following information:
Then, the teacher will provide the following example and have a discussion in class:
The in class discussion will students will work with a partner to determine the proper tiles needed to at least start the above problem.
Once you have completed the square you end with the following result
Which then can be written as the following form:
Have students with the use of the Algebra Tiles complete the following problems:
Ask students if they can generalize the situations to determine a possible process to completing these problems.
Once done, continue with notes and add information how to complete the square yields the vertex form of quadratic and provide them the following example:
Once done, continue with notes and add information how to complete the square yields the vertex form of quadratic and provide them the following example:
The PDF worksheet, provided below, students need to use what they learned in class today to rewrite each problem in vertex form. Students are not required to solve the quadratic at this time.
Completing the Square |