https://padlet.com/jmcoop14/wh3cd6backkigwfx Wathall en-us 2023-02-13 01:05:13 UTC 2025-10-16 16:02:11 UTC hello@padlet.com https://padlet.net/icons/png/1f973.png jmcoop14 https://padlet.com/jmcoop14/wh3cd6backkigwfx/wish/2478199589 Definition: two or more concepts stated as a sentence of relationship. They are truths supported by factual examples, but they may include a qualifier (often, can, may) when the idea is important but does not hold in all instances
Ex: If the legs of a triangle are 3 and 4 unites, then the hypotenuse will be 5 units. ]]> 2023-02-13 01:10:39 UTC https://padlet.com/jmcoop14/wh3cd6backkigwfx/wish/2478199589 jmcoop14 https://padlet.com/jmcoop14/wh3cd6backkigwfx/wish/2478200982 Definition: laws or foundational truths that hold all the attributes of generalizations and commonly describe real-life situations
Ex: Pythagorean theorem]]> 2023-02-13 01:12:26 UTC https://padlet.com/jmcoop14/wh3cd6backkigwfx/wish/2478200982 jmcoop14 https://padlet.com/jmcoop14/wh3cd6backkigwfx/wish/2478205484 Generalizations are statements that anybody can determine. They often have a qualifier. Students are encouraged to make their own generalizations to synthesize their understanding. Principles are the theorems or universal truths that back a generalization. These are the ideas that back the students understanding. Principles have been proven time and time again. ]]> 2023-02-13 01:17:57 UTC https://padlet.com/jmcoop14/wh3cd6backkigwfx/wish/2478205484 jmcoop14 https://padlet.com/jmcoop14/wh3cd6backkigwfx/wish/2478230584 As teachers, we want to see our student synthesize their learning. Generalizations allow students to simplify what they learned and demonstrate a conceptual understanding. Students also need to understand principles to make these generalizations. Principles make a foundation for the students to bridge the gap from memorizing to understanding. ]]> 2023-02-13 01:52:11 UTC https://padlet.com/jmcoop14/wh3cd6backkigwfx/wish/2478230584 jmcoop14 https://padlet.com/jmcoop14/wh3cd6backkigwfx/wish/2478232443 A level 1 generalization is a basic understanding of the purpose of a formula or idea in mathematics. 
Example: The quadratic formula is one method to solve a quadratic equation.]]> 2023-02-13 01:54:13 UTC https://padlet.com/jmcoop14/wh3cd6backkigwfx/wish/2478232443 jmcoop14 https://padlet.com/jmcoop14/wh3cd6backkigwfx/wish/2478233476 A level 2 understanding is the why or how. The students describes why or how they can use a theorem, formula or mathematical understanding. 
Example: The quadratic formula describes the roots or zeros of the function and helps solve a quadratic equation.]]> 2023-02-13 01:55:24 UTC https://padlet.com/jmcoop14/wh3cd6backkigwfx/wish/2478233476 jmcoop14 https://padlet.com/jmcoop14/wh3cd6backkigwfx/wish/2478235011 A level 3 significance is the student can express why the significance or effect of a theorem or formula. The student can explain why the mathematical idea is important.
Example: The expression underneath the square root in the quadratic formula, the discriminant, conveys the nature of the roots.]]> 2023-02-13 01:56:49 UTC https://padlet.com/jmcoop14/wh3cd6backkigwfx/wish/2478235011 jmcoop14 https://padlet.com/jmcoop14/wh3cd6backkigwfx/wish/2478238074 It is imperative that we give students the opportunities to share their own generalizations. I like to allow my students to brainstorm a generalization. As well, if a student comes to a generalization, I encourage them to share it with the group. ]]> 2023-02-13 02:00:43 UTC https://padlet.com/jmcoop14/wh3cd6backkigwfx/wish/2478238074