LESSON PLAN PRE-CALCULUS 11
Unit: Quadratics
Lesson: Completing the Square
Big Ideas:
Algebra allows us to generalize relationships through abstract thinking.
The meanings of, and connections between, operations extend to powers, radicals, and polynomials.
Curricular Competencies:
Visualize to explore and illustrate mathematical concepts and relationships
Represent mathematical ideas in concrete, pictorial, and symbolic forms
Solve problems with persistence and a positive disposition
Learning Objectives:
Understand why completing the square is essential in finding the roots of a quadratic equation
Develop a geometric interpretation of what completing the square looks like
Be able to complete the square algebraically
Apply the process of completing the square to solve quadratic equations
Materials needed:
Whiteboards + markers
Paper
Scissors
Pencil/pen
Lesson:
Introduction: (3 mins)
Recap: we already learned about quadratic factoring.
Intuition for today’s lesson
Demo: (5 mins)
Pass out paper and scissors to students. Instruct students how to visualize completing the square with this short arts and craft
Direct Instruction: (7 mins)
Relate what we did in the demo to how we complete the square algebraically
Do an example or two.
Closure: Exit Slip (5 mins)
Everyone get into groups of 3 and tries a problem
Assessment (formative):
Introduction & Direct Instruction: Are students paying attention? Are students engaged, asking/answering questions, and participating in discussions? Are students making connections or comments comparing new material learned with material they already know?
Hands-on Practice (group-work): Teacher walks around and guides students in their groups. Teacher poses questions to help the students think & self-evaluate. Are students able to carry out instructions? Are students asking for help from their peers or from me when needed? Is there growth and improvement from the last time I walked around? Are students reflecting on their experiences and learning from their mistakes? Are particular students finding it easy? Are others getting stuck and finding it difficult?
Thank you Lisa L, Nathaniel and Lisa D, for the Pre-Calculus 11 lesson plan on completing the square! It is well-organized and incorporates both visual and hands-on elements to engage students in understanding quadratic equations. The use of a hands-on demonstration with paper and scissors is a creative way to help students visualize completing the square geometrically. I am thinking that while the formative assessment criteria are outlined, explicitly stating the criteria for success or proficiency might guide both students and the teacher in the assessment process?
ReplyDeleteThanks Qiaochu! In addition, I would like to see an added page with a diagram of the demonstration figure and the algebraic version of completing the square, and a walk-through of how you will instruct students in crafting and making sense of this 'completing the square' picture. I also need to know who will be leading each part of this lesson, and what the others will be doing during that time.
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