Inquiry Demonstration Plan
| Lesson Title: | Significance of Pythagorean Theorem | Lesson # | 1 | Date: | 2020-07-28 |
| Name: | Gurpreet Singh | Subject(s): | Mathematics | Grade(s): | 8 |
Rationale & Overview
| Why does this topic matter to students?
Pythagorean theorem is quite significant in fostering creativity and complex problem-solving strategies in the young minds. It also assists in understanding other disciplines of education along with finding out unknown parameter by evaluating two other measurements.
How does this lesson fit within the larger inquiry project?
This plan deals with the relevance of Pythagorean theorem in today’s world and further which is connected to almost every sector of educational working. Focus is given on crucial need to understand Pythagorean concept so that critical thinking can be fostered in the real-world situations.
How does this project incorporate the inquiry cycle?
Students become aware of the importance of mathematical formula and this will be ensured through proper field learning techniques rather than just imparting bookish knowledge.
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Key Questions For Inquiry
| Core Question & Supporting Questions for Inquiry Project | Question(s) Addressed in This Lesson |
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How relevant it is in the daily routine lifestyle to study about it?
First People’s Principle: Does it impart any kind of symbolic message to the spiritual growth of an individual or is it just a play of integers only?
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Scope and applications of Pythagorean theorem.
How and in what ways it is utilized in other areas of education?
Does it need updating to fit into the current educational paradigm?
Is there any other scope of using this formula rather than finding out measurements?
Are there any historical evidences of this theorem that can be related to current scenario?
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Inquiry Approach and Rationale
| Focus will be given through storytelling by the elders of the community to better understand the significance of mathematical formula (like pyramids in the existing world). It will impart a lively experience of mathematical teaching, which otherwise assumes as a rigid subject. Field activities like paper folding will be organized to better understand the concept of Pythagorean concept and its usage in the current scenario.
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Core Principles of Effective Teaching (Sharon Friesen) Focus on one or more core principles in the lesson
| Core Principle 1: Effective teaching practice begins with the thoughtful and intentional design of learning that engages students intellectually and academically.
*What aspects of the inquiry are the most challenging and meaningful for students? |
Interdisciplinary approach and the significance of Pythagorean concept in daily routine would be a remarkable experience for the students. |
| Core Principle 2: The work that students are asked to undertake is worthy of their time and attention, is personally relevant, and deeply connected to the world in which they live.
*What makes this inquiry valuable, meaningful, and “alive” for the students and teachers? Core Principle 3: Assessment practices are clearly focused on improving student learning and guiding teaching decisions and actions. *How do I define learning and success in this inquiry? How is learning expressed and articulated in peer, self, and teacher assessments? |
It relates the concept to each, and every step walk of daily activities, like construction and other designing concepts. Thus, is quite interesting to find out the unknown parameters
Assessment will be measured how accurately a student can relate Pythagorean theorem in real life implication and how quickly he or she observe this mathematical formula in daily routine. |
| Core Principle 4: Teachers foster a variety of interdependent relationships in classrooms that promote learning and create a strong culture around learning.
*How do I connect students with each other, with experts in the field, with larger communities and nature, and across disciplines? |
Storytelling through elders, individually or as a whole group would be ensured to deeply connect mathematical ideas with first people’s principle of learning. |
| Core Principle 5: Teachers improve their practice in the company of peers.
*How do I reflect on the inquiry together, and/or collaborate with others? |
Self reflection and introspection with careful observation will result in healthy culture of learning mathematical concepts. |
BC Curriculum Core Competencies
| Communication | Thinking | Personal & Social |
| Ensured by collaborative working and discussing key concepts.
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Mathematical strategies along with analytical understanding. | Realizing the actual value of Pythagorean and using the same lenses of understanding in observing daily lifestyle. |
BC Curriculum Big Ideas (STUDENTS UNDERSTAND)
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Storytelling through First People’s principle and interdisciplinary approach of Pythagorean in daily life cycle. Number fluency, relating theories to find out size and volume of shapes and figures as well.
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BC Curriculum Learning Standards
| (STUDENTS DO) | (STUDENTS KNOW) |
| Learning Standards – Curricular Competencies | Learning Standards – Content |
| Reasoning and logic to critically evaluate the learning concept.
Estimate and evaluate the outcomes reasonably and with deep reflection.
Analytical approach in puzzles solving. |
Must know the ways of solving roots and cube roots.
Operational knowledge of dealing with fractions and decimals in the number system. |
BC Curriculum Indigenous Connections/ First Peoples Principles of Learning
| How will I incorporate Indigenous knowledge and principles of learning?
Through storytelling and embedding cultural ideas with the relevant patterns of working. Lively connecting through daily practices. Elder’s teachings by connecting with aptitude and knowledge.
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Respectful Relations
| How will I invite students of all backgrounds, interests, and skills into the inquiry?
Explaining applications and usage of Pythagorean concept in every field of life.
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Lesson Activities
| Time Allotted | Teacher | Students | |
| Invitation
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At least weekly before the activity. | Students would be encouraged to get consent from their guardians for any kind of outdoor activities and arrange spaces for storytelling and computational learning.
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Need to have approval. |
| Inquiry
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1st lecture
(not fixed) |
Open environment to discus the need and importance of working on this topic area. | Collaborative and healthy dialogues would happen to foster the learning process. |
| Reflection
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Short around 15 minutes. | Self-reflection of students through critically evaluating the key concepts of learning. | Detailed study of the whole learning. |
| Discussion
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10 minutes. | Healthy dialogue and ideas exchange between students. | Active debates and participation. |
Materials and Resources
| http://www.shodor.org/interactivate/lessons/PythagoreanTheorem/
http://www.fnesc.ca/math-first-peoples/
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Organizational Strategies
| Storytelling through elders to make interest in the mathematical pedagogy.
Arranging computer classes for interactive learning module of mathematical concepts. Field activities to ensure better understanding of the Pythagorean theorem. Intellectual learning through adopting various novel techniques. |
Proactive, Positive Classroom Learning Environment Strategies
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The whole discussion is focused on arranging healthy dialogue environment to foster the process of learning in this learning process. Fix time slots would be ensured through timetables, so that everyone get a chance to explore ideas and exchange his or her arguments.
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Extensions
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Apart from learning significance of Pythagorean concept, the need is to develop interactive ways of learning this concept, so that it could be a fun with lot of intellectual gain. |