https://padlet.com/hargrovet/542geometry What are the key ideas for geometry that should be covered in the elementary grades? en-us 2018-07-14 20:31:37 UTC 2023-03-09 08:49:04 UTC hello@padlet.com hargrovet https://padlet.com/hargrovet/542geometry/wish/270205180 Please use this Padlet to respond to this question.  Your answer to this question is not expected to be final or definitive. I expect your ideas will change, expand, and deepen throughout the module.  Be creative.  You may attach files,  add links, include pictures, record audio or doodle on the screen. ]]> 2018-07-14 20:32:46 UTC https://padlet.com/hargrovet/542geometry/wish/270205180 soaxelson1 https://padlet.com/hargrovet/542geometry/wish/270519657 I have always seen Geometry as the part of mathematics that deals with shapes, as it has always been my least favorite component of math. However, Geometry also includes understanding different types of angles, drawing angles, measuring angles, classifying shapes based on their characteristics, and understanding that a square is a rectangle but a rectangle is not a square. I think that the goals of Geometry for elementary students are to be able to identify shapes, draw shapes based on given characteristics, draw and identify different types of lines and angles, and I also think that shapes are used when exploring fractions by dividing shapes into "equal shares."]]> 2018-07-18 13:29:38 UTC https://padlet.com/hargrovet/542geometry/wish/270519657 https://padlet.com/hargrovet/542geometry/wish/270648062 I think the first concepts of geometry should be identifying and describing both 2D and 3D shapes. Then students should be able to apply formulas to shapes to answer questions about area, perimeter, surface area and volume.  I think there also needs to be an emphasis on real world application so that students can see that we often use geometry in a variety of careers.

]]> 2018-07-19 18:12:41 UTC https://padlet.com/hargrovet/542geometry/wish/270648062 ktsaenz1 https://padlet.com/hargrovet/542geometry/wish/270650393 Even in preschool, children can begin learning the types of shapes, their characteristics, and how they compare to each other.  Once in elementary school, children can build upon their existing knowledge of shapes.  They can also start learning about types of angles, as well as learn to draw and measure angles.  Additionally, students in elementary school should learn how to calculate area, perimeter, volume and surface.  I also think that elementary geometry provides a good springboard for students to practice reasoning skills and to begin using informal proofs. Throughout the entire process, I think students need to have plenty of hands-on experiences with shapes, and many opportunities to explore, make conjectures and discuss their findings.

Here's a link to a fun geometry song for elementary kids:
https://youtu.be/QpI7Ox17_fM]]> 2018-07-19 18:53:04 UTC https://padlet.com/hargrovet/542geometry/wish/270650393 https://padlet.com/hargrovet/542geometry/wish/270652786 I believe that the start of geometry in lower elementary grades should focus on becoming familiar with shape characteristics. For example, identifying similarities and differences, learning names, and identifying types of shapes. I think this knowledge should grow over the next few years in the upper elementary grades. This should look like students being able to identify multiple ways to to transform shapes via angles, lengths, and widths. This would require students to understand and use formulas to make changes or problem solve within geometry.

Here is a fun joke to get older students engaged and excited about geometry!]]> 2018-07-19 19:35:21 UTC https://padlet.com/hargrovet/542geometry/wish/270652786 rdn65171 https://padlet.com/hargrovet/542geometry/wish/270786438 In earlier grades, students can begin working with shapes and identifying attributes. Students can also begin understanding the relationships between shapes by composing and decomposing shapes. In upper elementary grades, students can begin identifying types of lines and angles and classifying shapes based on their angles and lines. Upper elementary students can also begin working with the coordinate system.]]> 2018-07-22 12:53:01 UTC https://padlet.com/hargrovet/542geometry/wish/270786438 aneville2 https://padlet.com/hargrovet/542geometry/wish/270800960 From my educational experiences as a K-12 public school student, undergraduate, graduate school student, and elementary teacher, I believe there is a set of progressional key ideas that should be covered in the elementary grades. Some of these ideas, in order of possible introduction from early to late elementary, are:
- Shapes,
- Transformations, congruence, and similarity (advances in depth),
-  Area and perimeter,
- Lines,
- Angles,
- Volume and surface area,
-  And working with coordinate planes.
As a quick and fun resource, I shared a link to a compilation of some of my favorite geometry-focused songs from Numberock!]]> 2018-07-22 21:16:56 UTC https://padlet.com/hargrovet/542geometry/wish/270800960 https://padlet.com/hargrovet/542geometry/wish/270815202 I believe that elementary students need to start basic and work their way up. I think that students need to be introduced to both 2d and 3D shapes and be able to recognize and identify those basic shapes. I think that students need to be introduced to vocabulary like lines and their variations, and I think that they need to be introduced to the properties of these shapes so that they can apply that knowledge to new shapes that don’t looke exactly like the original shapes. Once students are able to recognize these shapes in and out of their abstract forms, students need to be introduced to perimeter, area and volume. They need to have lots of hands no practice so that they are able to gain a strong conceptual understanding of these figures.]]> 2018-07-23 00:43:33 UTC https://padlet.com/hargrovet/542geometry/wish/270815202