Geoboards
I haven't seen the need to create a virtual Geoboard here as two excellent ones already exists on the NRICH website and the Beluga Maths site. Click a link to navigate to the Geoboard, and use it to answer the following questions.
9 Peg Square
Do the same for quadrilaterals and pentagons.
- Find all the possible non-congruent triangles you can make on the board.
- Calculate the area of each triangle.
- Find the perimeter of each triangle.
Do the same for quadrilaterals and pentagons.
9 Peg Circle with centre
What are the perimeters of each triangle created above? How about the areas?
- By using a single band, how many of the angles 10, 20, 30, ..., 180 degrees can you make?
- How many non-congruent triangles can you make (not using the centre pin as a vertex)? Classify these triangles.
- How could we find the angles of the triangles that do not use the centre pin as a vertex?
- What happens to the number and types of triangles if we change the number of pegs around the circumference?
What are the perimeters of each triangle created above? How about the areas?
Ideas for Teachers
Geoboards are great for exploring lots of different areas of Mathematics, and are a really interactive way to participate in a lesson. Some departments will have some actual boards to use, but there are always problems with rubber bands in a classroom. The interactive geoboard provides the perfect solution to this problem, and updates it to the 21st Century. If you want to provide your students with worksheets to record their solutions on (I would definitely suggest this) then NRICH have also helpfully created these worksheets.
Having these resources online also lends itself to being used at home. Why not ask the students to look into one of the problems above as a homework, and get them to produce their final work either on the worksheets, or to take a screen shot and email it to you.
There are many other ways you might choose to use the Geoboard in your classroom, and if you have any further ideas you would like to share, then please contact me and I shall put them up here.
Geoboards are great for exploring lots of different areas of Mathematics, and are a really interactive way to participate in a lesson. Some departments will have some actual boards to use, but there are always problems with rubber bands in a classroom. The interactive geoboard provides the perfect solution to this problem, and updates it to the 21st Century. If you want to provide your students with worksheets to record their solutions on (I would definitely suggest this) then NRICH have also helpfully created these worksheets.
Having these resources online also lends itself to being used at home. Why not ask the students to look into one of the problems above as a homework, and get them to produce their final work either on the worksheets, or to take a screen shot and email it to you.
There are many other ways you might choose to use the Geoboard in your classroom, and if you have any further ideas you would like to share, then please contact me and I shall put them up here.
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