After a month of planning and designing, we finally presented our Rube Goldberg machines in grade 12 physics. Our machines are designed to perform simple tasks in intricate ways consisting of multiple steps and energy transfers. Examples of tasks our machines performed include cutting hair and ripping toilet paper.
After 4 long months of limits, derivatives, and integrals, it seems like calculus can solve just about anything. We started our final unit—applications of integration—by using our prior integration knowledge to calculate the area bounded by multiple functions. We will start with differential equations and revolutions in the upcoming year.
Fact: TOPS kids love science. Every Friday, the biology and chemistry club meets to try new and interesting experiments in the science lab. This week, we combined sodium hydroxide, hydrochloric acid, and an indicator to create some colourful titrations. We also found out the winners of the crystal-making competition.
After we learned integration by parts in grade 11 AP calculus, we went on a tangent to apply this knowledge to trigonometric functions and substitutions. By then, we had acquired a fraction of the skills needed to integrate rational functions. With long division and partial fractions on our side, we can integrate problems of all shapes and sizes!