Today we began by writing the formulas Aiden already knows for areas of square, rectangle, triangle, and circle. We discussed how we will need to use these to find surface area of figures in 3D. We considered a cube. I asked Aiden to tell me how he would find the surface area of one face if the side length was s. He said, "s times s". I asked, "What's a better way to write that?" He said, "s squared." Then I asked him how many faces there were on a cube. He knew 6. Then he was able to derive the formula for surface area of a cube as SA=6s^2. I explained to Aiden that there are formulas for surface area, but we do not need to memorize them, since we can just think about it and derive them ourselves. Next we considered a problem with a plot of land that had some green and some concrete. The goal was to determine if the area of green was larger than the area of concrete. Aiden had to determine what the side lengths of each section were and the shapes they created. We split it up into 4 different regions with different shapes. Aiden calculated each region one by one. Then we found the area of the concreate by finding the total area of the plot land and subtracting the green area we had already found. Lastly, we worked with a net of a figure. Aiden is better than I am at visualizing the nets of various 3D figures. He drew for me the net of a cube, rectangular prism, triangular prism, and triangular pyramid. We only have volume left to cover and that will be the remainder of Geometry for 7th grade benchmarks.