This week in Math we learned how to find surface area and volume in 3D shapes, Prisms and shapes like a pyramid or a cone

Formualas for pyramids & cones

The formulas are  very easy to apply once you have the numbers right for example;

The formula for volume of a cone is very easy to apply, you first plug the radius in, which in this case is 5 then square it, then multiply it by the height which is 10. Last you divide by 3, because the volume of 3 cones is equal to a cube, though they have to have the same dimensions. Then punch it in to your calculator.

A couple weeks ago, we started our exponents unit. From using from using exponent laws to figure out the new simplified expression, I caught to the pretty early. One concept I struggled with, was the intergral exponents concept.

An example of a question which I made a mistake on:

I always messed up, whether it was not put the exponents in the wrong spots, to not calculating the expression properly.

Property simplified equation:

I learned to always deal with the outside exponent first. So I factor in exponent to get the proper exponents. Then you group the like terms, and most importantly get rid of the brackets. Then you get rid of any intergral(negative) exponents by doing the reciprocal, negative exponents on the top go down to the bottom and vice versa, you then subtract or add exponents and divide or multiply the actual number.