Hi everyone,
Today we had a challenge in class to try and come up with strategies to measure the volume of a very irregularly shaped item- and boy was it hard! Here is a picture of the item you had to work with:
We came up with some ideas- and a lot of frustration with this perplexing problem!!! The class then watched the attached video on Archimedes Principle, and learned about his discovery.
https://www.youtube.com/watch?v=ijj58xD5fDI
We have spent a lot of time in our Geometry unit, and will be getting ready for a test that will be scheduled for the end of next week (Date TBA). Here are the following criteria we will be responsible for knowing on this test:
1. Calculating Area, Volume, and Perimeter (Perimeter of irregularly shaped items included, Area of rectangular shapes, or irregular shapes that are two or more rectangles combined, and Volume of a cube or rectangular prism).
2. Identifying shapes (including squares, triangles, parallelograms, trapezoids, pentagon up to an nonagon, kits, rhombus.
3. Acute, obtuse and right angles.
We have started a new Area and Volume Challenge today as well, which will be due on Monday. There are multiple approaches to this problem, and we will be applying our knowledge and logic in order to determine the best shapes for this purpose. See the project outline below:
***PLEASE KEEP IN MIND THE EXTENSION ACTIVITY IS JUST THAT- AN EXTENSION OF LEARNING. IT IS ONLY FOR THOSE WHO WANT TO TAKE ON AN ADDITIONAL CHALLENGE, BUT IT IS NOT REQUIRED FOR EVERYONE TO COMPLETE AND IS SIMPLY AN OPTION FOR THOSE WHO WOULD LIKE TO EXPLORE THIS KIND OF MATH BEYOND GRADE LEVEL EXPECTATIONS :)
Today we had a challenge in class to try and come up with strategies to measure the volume of a very irregularly shaped item- and boy was it hard! Here is a picture of the item you had to work with:
https://www.youtube.com/watch?v=ijj58xD5fDI
We have spent a lot of time in our Geometry unit, and will be getting ready for a test that will be scheduled for the end of next week (Date TBA). Here are the following criteria we will be responsible for knowing on this test:
1. Calculating Area, Volume, and Perimeter (Perimeter of irregularly shaped items included, Area of rectangular shapes, or irregular shapes that are two or more rectangles combined, and Volume of a cube or rectangular prism).
2. Identifying shapes (including squares, triangles, parallelograms, trapezoids, pentagon up to an nonagon, kits, rhombus.
3. Acute, obtuse and right angles.
We have started a new Area and Volume Challenge today as well, which will be due on Monday. There are multiple approaches to this problem, and we will be applying our knowledge and logic in order to determine the best shapes for this purpose. See the project outline below:
***PLEASE KEEP IN MIND THE EXTENSION ACTIVITY IS JUST THAT- AN EXTENSION OF LEARNING. IT IS ONLY FOR THOSE WHO WANT TO TAKE ON AN ADDITIONAL CHALLENGE, BUT IT IS NOT REQUIRED FOR EVERYONE TO COMPLETE AND IS SIMPLY AN OPTION FOR THOSE WHO WOULD LIKE TO EXPLORE THIS KIND OF MATH BEYOND GRADE LEVEL EXPECTATIONS :)
Area and Volume Challenge!
You need to build a
box to store your school supplies!
In order to fit these
three objects below, what might the dimensions of your box be?
Math Book: Base: 10
cm, Height: 3cm Width: 12 cm
Colored Pencil Box:
Base: 5 cm, Height: 1 cm, Width: 8 cm
Pencil Case: Base: 9
cm, Height: 4 cm, Width: 4cm
1.
Here’s the thing…. Wood can be expensive! You wouldn’t want to spend more money
on supplies to build your box than necessary. You’ll want to make sure that you
stack and place the supplies in such a way that you waste as little space as
possible and use the least amount of wood possible to build your box. What dimensions would be the most cost
effective? Write about the strategies you used to figure this out!
2. You went to all the trouble of building this beautiful box for your
supplies… now you want to paint it a funky color! You’ll be wanting to paint
the outside surface of all sides of your box. How much paint will you need?
What kind of measurement will you be using to determine this and why?
Extension activity:
1.
If you purchased wood for the price of $ 4.00 per 10cm2, (and they only sold pieces
of wood this size) how much money would you have had to spend on wood? How much
wood/money might have been wasted?
*Keep in mind this means you may have also
had to glue some pieces together to make your box
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