Down River Resources | Your Elementary Math Guide: Geometry
Showing posts with label Geometry. Show all posts
Showing posts with label Geometry. Show all posts
Your young mathematicians and engineers will LOVE designing and constructing fun robots composed of two-dimensional shapes, or 2-D shapes! Depending on the grade level, your mathematicians and engineers can use their shape robots to show how many circles, triangles, squares, rectangles, rhombuses, and hexagons, and how many sides and vertices they used! This activity is bound to get your mathematicians and engineers critically thinking about the role robots play in our society. 




Top Way to Excite Young Students with Geometry and Engineering Using Robots


Students love ending a unit with a fun, culminating project. This two-dimensional robot craftivity is perfect for the end of a geometry unit OR engineering design unit. While I designed this project for kindergarten, first, and second grades, it could be throughout elementary school. There are several options that can be used for differentiation or a mix of these grade levels!

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Build Excitement Using Literature



First, I love using literature for interdisciplinary connections. I read Love, Z or Robot in Love to get engineers interested in robots. I usually teach two-dimensional shapes in January or February, so these are my favorite robot titles for this time of year!


Then, I read a short informational text that I wrote, The Most Important Thing about Robots. This text is patterned after the published book, The Important Book, by Margaret Wise Brown. By reading the informational text about robots aloud, I create shared knowledge with the class about some robot basics. 


Engineers learn about how robots help humans, the two main reasons robots are constructed with examples, and the two types of robots through the text. This robot knowledge will come in handy for the next part of the activity.


Designing a Two-Dimensional Robot 



The engineers use the knowledge they gained from the texts read aloud to design their robots. If you are interested in moving through the entire engineering design process, you can first have your students design or sketch their robot. Depending on your grade level, you might want your engineers to think about the limitations, or constraints, for their design. 

For example:
  • When using this activity with kindergarten engineers, they are limited to ONLY using circles, triangles, squares, and rectangles. 
  • When using this with first grades and above, engineers are limited to ONLY using circles, triangles, squares, rectangles, rhombuses, and hexagons.
  • These limitations above were generated based on the grade level standards.
  • You could create additional limitations, such as: "You can only use 12 shapes total." OR "You can only use 4 rectangles."

Engineers should think about the purpose of their robot. ASK: How does your robot help humans?

After engineers decide how their robot will help humans, they should plan the tasks that the robot should be able to do to carry out its purpose. This will determine what type of pieces, or parts, they will use.


Constructing a Two-Dimensional Robot 



After engineers design their robots, they can use the pre-printed templates to cut out the two-dimensional shapes to construct their robots. 

PRO TIP: I printed one full set of two-dimensional shapes in each color of cardstock. I placed the copies in the center of the group and engineers shared the pages. There are so many shapes included that one set of shapes per student is too much! 

You can also have engineers compose their own shapes using the attributes of two-dimensional shapes. This directly hits grade level standards but can be more challenging! You can use the pre-printed templates for tracing though to make this easier for engineers. I recommend using colored construction paper if using this option. This is also a good challenge for upper elementary engineers.

Engineers will need to glue the two-dimensional shapes together to construct their robots.

Once completed, engineers can use a half-sheet of paper to count the two-dimensional shapes included in their design. There are two different headings included: "My Robot Has..." or "I Like Shapes a Bot!" The shapes included on these printables are grade level specific, so there's three options.

Finally, engineers can use a recording sheet to name their robot and describe how their robot helps humans by doing three tasks.

In this photograph below, this kindergartener was challenged to use all of the shapes included to differentiate. The half-sheet of paper for counting the shapes was created for first grade engineers, but this kindergartener used it successfully. 

If you look at the engineering design report, this robot called Musicbot helps humans by making music when a band member is sick. Musicbot is able to play polka music, dance on stage, and walk on stage. {This kindergarten work sample amazes me!}







After looking at all of these work samples, I can't wait to see what your engineers design! 

Extending the Learning about Geometry and Engineering Design



Included in this set, there are 12 constraints cards. (See the orange set of cards in the lower left-hand corner of the photograph below.) If you need to differentiate the craft portion of the activity, you could assign a constraint card to an engineer. 


PRO TIP: I recommend cutting and placing all of the two-dimensional shapes that are left over from constructing robots in a plastic storage bag. Place the 12 constraints cards on a binder ring and slip into the bag. This becomes an instant station!

This can be used in a math station, science station, or engineering station to extend the learning.

There is an additional recording sheet for accountability if desiring to use the materials within a station. 

If mixing two-dimensional shapes and engineering design is a good-fit for your classroom, you can snag it right here in my TpT shop. 


I'm looking forward to seeing what your engineers design! Tag me on social media. 


Kindergarten math and first grade math homework can be confusing and frustration to parents and teachers at times. My favorite messages come from these adults regarding questions on homework pages. Come 4:00 p.m., my cellphone starts blowing up with pictures of homework pages! These parents and teachers know that my love of math runs deep, but my love for helping others understand, especially the students who are depending on them to answers runs deeper! Most recently, I received one of these after-school text messages with a question from first grade geometry. The question read: "I am not a rectangle. I am not a triangle. What shape am I?" Four answer choices were given including a circle, square, rectangle, and triangle. How can you answer this question? More importantly, how you can you explain this answer to your child at home or in your classroom? Read more to learn about why a square is considered a special rectangle.


Math 101: Why is a Square a Special Rectangle?


If you haven't read between the lines yet, the answer to the question is a square.

I am not a rectangle. I am not a triangle. What shape am I?

The child on the other end of the text message instantly crossed out a rectangle and triangle.


I was especially excited to see this because it is evident that the child's parent and/or teacher had taught them the importance of eliminating answer choices!

The circle and square were remaining. The father instantly thought:

 It must be the circle.

Why is that? Why did the parent deduce the circle from those two choices?

The human brain is constantly looking for patterns. The child just eliminated two prominent shapes that have characteristics similar to the square. The rectangle and the triangle have vertices and edges. The brain sends the message that the square fits into a similar pattern; therefore, it must be the circle. 

Right and wrong.

There's more to this question that meets the eye, as with many word problems.

Though "circle" is in fact the correct answer, the justification needs a little work.



This question is testing the knowledge of a first grader, in this instance, if they know that a square is considered a special type of rectangle.

The father instantly proclaimed:

When I was in school, a square was a square and a rectangle was a rectangle!
Though I can't discount this statement {we do know a lot more mathematical explanation in education these days}, this is a common frustration point with many teachers and parents alike.

To learn more about this mysterious "special rectangle," we need to revisit the attributes or properties of shapes, particularly quadrilaterals.

Attributes or Properties of a Quadrilateral 


It's really easy to get lost within all of the academic vocabulary of kindergarten, first grade, and second grade geometry.

Here's the basics:

Quadrilateral 


A quadrilateral has four sides, is 2-dimensional (a flat shape), closed (the lines join up), and has straight sides.

Both rectangles and squares are quadrilaterals. Both shapes are two-dimensional four-sided closed figures with straight sides.

Rectangles, squares, trapezoids, rhombuses, and parallelograms are all part of the quadrilateral family.

What makes rectangles and squares unique within this family?

Rectangle


A rectangle is a quadrilateral. It's sides intersect at 90 degree angles. A rectangle has opposite sides which are congruent, or have the exact same length. . The diagonals, are mutually bisecting, or cut each other in half.

Square 


A square is a quadrilateral. It's sides also intersect at 90 degree angle. Similar to a rectangle, its opposite sides are congruent, but ALL of its sides are congruent, or have the exact same length. The diagonals, are mutually bisecting, or cut each other in half. The square also has perpendicular bisecting diagonals.

A rectangle is also classified as a square when both pairs of opposite sides are the same length; thus, a square is a special rectangle. 

Hierarchy of Quadrilaterals


In this illustration above, the rectangle has the properties identified within the red quadrilateral.

The square contains ALL of the properties of the rectangle AND the properties listed solely within the square figure. 

This further depicts that a square is a special type of rectangle.

If you are still following this, you now have passed kindergarten math in Texas! Yeehaw! This just so happens to be first grade math in pretty much the rest of the country.

Content Standards Addressed: TEKS K.6A
The student applies mathematical process standards to analyze attributes of two-dimensional shapes and three-dimensional solids to develop generalizations about their properties. The student is expected to: identify two-dimensional shapes, including circles, triangles, rectangles, and squares as special rectangles

I hope this post inspires you to dust off your college textbook and learn more math lingo, or gives me the privilege to be a bookmarked site for future mathematical assistance.

What is the most confusing homework problem you've seen?



Make sure to pin and save this post for future reference.


kindergarten geometry first grade geometry

Shapes are fun to teach in the math classroom. After all, anytime you look around, whether it be the classroom, your house, or the grocery store, shapes can found! Or can they? "Shape" is a common term usually used for both two-dimensional figures AND three-dimensional figures. Did you know that while this is common, it is a misnomer? 

Two-Dimensional Shapes and Three-Dimensional Solids are Found in the Real World


Two-dimensional shapes and three-dimensional solids are a large part of the kindergarten, first, and second grade math curriculum.

The basics of geometry learned in these grades build the foundation for the upper grades. Students will apply this basic knowledge of shapes and solids as they make generalizations of their properties and attributes (mostly in third and fourth grades) and the volume of solids (which will new information in fifth grade.)

As we reflect on how important geometry is the math classroom...let's not forget how practical it is too! Geometry is EVERYWHERE. I was working on geometry resources while President Elect Trump was being inaugurated. From the markings on the streets and symbols of our government, to the emblems on the vehicles, geometry was jumping off the television screen. 

How Do We Differentiate Between "Shapes" and "Solids?"


Two-dimensional shapes are also referred to as plane shapes. These figures are flat. In geometry, a
 plane is a flat, infinite surface. It is a two-dimensional shape because they have an infinite length and width, but no thickness. (A line would be one-dimensional.) Basic shapes include circles, triangles, rectangles, and squares (TEKS K.A) 

kindergarten geometry first grade geometryFirst graders also learn rhombuses and hexagons (TEKS 1.6D,) while second graders learn polygons with 12 or fewer sides.

Three-dimensional solids are unlike the shapes as they have a third dimension or thickness.  Three-dimensional solids have width, depth, and height. Solids include cubes, cylinders, spheres, and cones (TEKS K.6B.) Solids can have flat surfaces or a faces. These faces are the two-dimensional component of a three-dimensional object (TEKS K.6C.) 

For example, a cube (imagine a tissue box) is composed of squares, which is the two-dimensional component of this three-dimensional shape. The squares are called faces as they are flat surfaces.

First graders and second graders also learn rectangular and triangular prisms (TEKS 1.6E & 2.8B.)

I hope this post inspired you to look at geometry from a different perspective.

How do you differentiate between shapes and solids in your classroom?


Howdy, Friends!

First off, I want to thank all of my friends who have recently been seeing my resources on Pinterest and checking out my Facebook and Teachers Pay Teachers store. I want to thank you from the bottom of my Texas heart, for investing your time in researching the quality of my work!

My sweet husband, of just over a year, shared a link on his Facebook today and I know a few of you are friends of his through your hubby! THANK YOU! I am sending you a virtual hug for the support. My amazing mother-in-law did the same! THANK YOU! I love Texas!

Today was filled with creating, watering the lawn, and packing for an undisclosed trip. Details to appear at random, unexpected times. Stay tuned!

I finished up a Kindergarten TEKS math support pack today that incorporates ALL of the geometry standards. Isn't that amazing?! I am excited to use it. Sadly, our pacing guide doesn't include geometry until January.

As I was researching for the pack, I found that the geometry TEKS compose a whopping 20% of the NEW Kindergarten Math TEKS! So, I just finished 20% of your mathematics planning for the new school year! I know...it's terrific! It is the biggest accomplishment of summer planning thus far.

Shape Posters in Kindergarten Complete Geometry Bundle
My favorite part about this pack is the posters pictured above. I'm all about coming up with new ideas and supporting the specificity of the TEKS (this is something most teachers do not have time for...it takes a lot of time to figure out what specifically needs to be addressed--sadly, there is no resource that is a one-stop shop for planning, other than KINDERGARTEN DOWN RIVER!)

These shape posters do not have the shapes formatted in the usual way. They have two or three versions of the shape using different sizes and orientations as specified within the TEKS. When I draw out anchor charts, I always show the students multiple ways to "see" the shape. Can you imagine if kindergarten teachers used these posters? Misconceptions about shapes and their orientations would be minimized tremendously!

In addition, to the orientation and shape, the 2-D and 3-D shape posters that correspond are the same color (example: the cube and square posters are both orange because they both have the same 2-D attributes--square-shaped face). This is just one more way I provide scaffolding for my English learners.

Another fun project yesterday evening and this morning was creating a First Day craftivity. My husband asked, "What's that?" My response, "It's a craft! It's an activity! It's a...CRAFTIVITY!" So, I included that on the cover page. It is kind of funny...brings back memories of childhood, "It's a bird. It's a plane..."
First Day Craftivity in English and Spanish
There are so many ways to put this craftivity together. My dog, Jedi, watched on as I colored, cut, and pasted these together as I spent time with her in the cool evening breeze. I wish she had better dexterity! It would have helped me out so much!

I guess I will have to teach her some new tricks! With that, I am off to bed so I have the energy to play with her in the morning!

Thanks for joining me on my adventure today! I am truly honored to be a part of your day!

Happy Sleeping!

Laura
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