During our first segment I provided instruction on the types of literary archetypes that appear in certain settings, plot lines, and characters. I noted examples of archetypal plot lines and characters from our prior reading of Great Expectations .During the second segment, I continued essay writing instruction by explaining how to create a claim or topic sentence that offers an interpretation based on the prompt. I drafted an example on the board and then discussed how to add commentary to the claim that explains the relevance or significance of the cited evidence and literary techniques, for example how the symbol of the green light illuminates Gatsby's "romantic readiness" to recapture his past .

We will use derivatives to demonstrate Rolle's theorem and the mean value theorem. We will use the first derivative of a function to determine intervals on which a function is increasing or decreasing. Examples will be done to reinforce the concepts.

Today's lesson addressed the relationship between plot structure and narrative distance. As these are somewhat abstract literary concepts, on the board , I first outlined the types of plot structure and then demonstrated how the structure-flashback, chronological etc,- reflected the narrator's physical and chronological distance from the events in the narrative. We further noted how the narrator's role as a character in the novel, if applicable , impacted the narrative distance and tone. We then applied these concepts to "The Great Gatsby," and the short story "The Untold Lie". As Joshua encountered difficulty in the homework assignment related to how symbolic settings can convey character in Gatsby, I also provided instruction highlighting the critical symbols .We then discussed which characters are best reflected in those symbols i.e. Tom's moral decadence as represented by the Valley of Ashes.

Work on sample problem to determine mass of reactants and products from balanced equations. Determine moles of reactants and products, convert to grams, and determine the grams present in the reaction. Discuss limiting reactions and excess reactants.

We will begin with a review of finding extrema using problems in the text. This will be followed by a review of Rolle's Theorem and the Mean Value Theorem and doing some examples from the text. We will begin the section on using derivatives to determine where a function is increasing or decreasing, if time allows.

Joshua opened his influence map project and we did a review of the work that he had completed so far. We moved on to cover using FX's on different layer of his file. Joshua was instructed to find six new images, choose seven old images, and create a new influence map as his first assessment.

Using a stoichiometry problem from the text, define the macro and micro levels of the problem. Outline stepwise how to solve the problem, in about 6 steps. Discuss each step and the final answer.

Demo how force and pressure are related to how we feel a mass. Elicit how the pressure will change on a force when the area the force acts upon changes. Determine that for a constant force increases in the area of contact results in a decrease in pressure. Determine that the pressure is directly related to the force and inversely related to the area. Derive the formula pressure=force/area. If force is in Newtons and area in square meters, then pressure is in Pascals.

We studied and discussed Fitzgerald's "The Great Gatsby" as a vehicle for analyzing character and how setting ,symbols ,and allusions inform character. In this regard, I explained the novel's allusion to Trimalchio, , a character from fiction written during the Roman Empire. We explored the similarities between the characters, Gatsby and Trimalchio, and hence noted how this allusion informs character. Further, on the board I placed alternative book titles Fitzgerald considered and from there delved into Gatsby's character or what ,in the narrator's perspective, made Gatsby great notwithstanding his ill gotten wealth and meretricious lifestyle. Joshua is working on three essays on the novel that will explore characterization and setting in the novel.

We will review the concept of extrema of a function as determined from derivatives. We will do examples. We will then look at Rolle's Theorem and the Mean Value Theorem for Derivatives and do examples of these concepts.