Embedded Files
Introduction
Introduction
In this lesson you will:
explore three dimensional items in your home and relate them to the shape and volume of solids
practice identifying and classifying solids
calculate the volume of solids.
Activity 1 - Solids in your home
Activity 1 - Solids in your home
Task 1
Task 1
Search around your house for some three dimensional objects or containers with simple shapes. (Empty containers are great.)
Give each object a name (e.g. container 'A', 'B', 'C').
Order them from smallest to largest in terms of volume using only your judgement (no measurements).
Definition: Volume is the space contained within an object.
Task 2
Task 2
If possible, check your order by estimating the volume of each object (only use empty containers or objects that won't ruined!) using one of these methods:
Compare them by filling the smaller container with water and pouring this into the larger container. If the larger container doesn't overflow then you are correct about which one is larger and which is smaller.
For containers that cannot be filled with water (e.g. if made of cardboard) you can fill with sand, pasta or rice.
Choose a couple of your containers. In your exercise book or folder write down the relationships between the containers. E.g., if you can fill container A and empty into container B 3 times before it overflows, you would write 3 x Container A = Container B.
Task 3
Task 3
Practise ordering solids based on their volume using the following Desmos activities.
Note: You need to open each link in a new tab and carefully read the instructions on the left hand side of the page. When the instructions tells you to turn a folder off or on you need to click on the circle next to the folder name.
Where to click to turn on a folder in Desmos
Activity 2 - Identifying solids
Activity 2 - Identifying solids
Classify your containers by their shape using the supplied reference table.
If your container doesn't approximately match the shape of any solid in the table, label it as "other".
Create a table in your exercise book or folder to record your classifications.
Tip: The shape might not match exactly but that's fine, just pick the best fit. The picture of the ice cream container shows an example of this.
Activity 3 - Calculating volume
Activity 3 - Calculating volume
Now that we've estimated and created relative volumes it's time to calculate them.
You will need:
ruler or tape measure
the three dimensional objects you collected in Activity 1
Use the formulas in the reference table from Activity 2 to identify what dimensions you need to measure on each object.
In your exercise book or folder record your measurements and then use the formulas in the reference table to calculate the volumes of some of your solids.
How accurate do you think your calculations are?
What factors make them less accurate?
Check your calculations against the order you originally placed the containers in and the relationships you discovered.
How accurate were your estimations?
Volumes of Prisms & Cylinders
Duration: 6:59
Activities too hard?
Activities too hard?
Note: Carefully read the instructions on the left hand side of the page. When the instructions tells you to turn a folder off or on you need to click on the circle next to the folder name.
In your exercise book or folder record the number of centicubes used to make the volume of common household products.
Where to click to turn a folder off or on
Activities too easy?
Activities too easy?
Click on the button to open the Similar solids - voume activity sheet and then use the template button to create a copy of the document.
Complete the activity by writing out all your working in your exercise book or folder.
Handing in your work
Handing in your work
Don't forget to hand in the work you completed today!
Your teacher will have told you to do one of the following:
Upload any digital documents you created and any photos you took of your written work to your Learning Management system (MS Teams, Google Classroom for example).
Email any digital documents you created and any photos you took of your written work to your teacher.
Make sure you keep any hand written work you did in your exercise book or folder as your teacher may need to see these when you are back in class.
Student reflection
Student reflection
Page updated
Report abuse