Today when I was teaching surface areas and volumes to one of my students I was repeatedly telling him to not to do ratification (the process of pointless memorizing) the formulas. I told him that it is the only point of my teaching to you to make you understand that maths is not about ratification it's about understanding. this is the most reasonable subject you have all logical. So everything has a reason. You need to understand this, so if you forget them at a point you can revive it easily by the other way round. So here are a few things which I told him to remember maybe it can help you too
1. Start with 2 d shapes area and perimeter which includes shapes: square, rectangle, circle, semicircle (students need only these shapes in this chapter in 2 d)
2. Then tell them the basic rule in uniform figures:
volume= area x height
curved surface area= perimeter x volume
total surface area= curved surface area + area of bases
3. Let them derive the total surface area for all the shapes themselves and if you are a student please derive it yourselves
4. Let them derive the volume and surface areas for the right circular cylinder first and then tell them that the volume of a right circular cone is 1/3 of the volume of a cylinder of the same base and height. This way they can easily learn the formula for cone. And for slant height let them revise the pythagoras theorem so they can find slant height whenever they can.
5. Tell them why the total surface area and curved surface area is the same for the sphere.
6. And my last tip is please don't tell your kids about frustum soon. I know that you know but this is not in their syllabus. they already have a lot of different kinds of questions to do. don't make it complex until they are ready to deal with it which they will do when they will be in a higher standard leave it till then.
Good luck! and remember don't do rattafication.
1. Start with 2 d shapes area and perimeter which includes shapes: square, rectangle, circle, semicircle (students need only these shapes in this chapter in 2 d)
2. Then tell them the basic rule in uniform figures:
volume= area x height
curved surface area= perimeter x volume
total surface area= curved surface area + area of bases
3. Let them derive the total surface area for all the shapes themselves and if you are a student please derive it yourselves
4. Let them derive the volume and surface areas for the right circular cylinder first and then tell them that the volume of a right circular cone is 1/3 of the volume of a cylinder of the same base and height. This way they can easily learn the formula for cone. And for slant height let them revise the pythagoras theorem so they can find slant height whenever they can.
5. Tell them why the total surface area and curved surface area is the same for the sphere.
6. And my last tip is please don't tell your kids about frustum soon. I know that you know but this is not in their syllabus. they already have a lot of different kinds of questions to do. don't make it complex until they are ready to deal with it which they will do when they will be in a higher standard leave it till then.
Good luck! and remember don't do rattafication.
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