Today we concentrated on section 1.5 of the syllabus-drafting a claim supported by evidence that explains how literary techniques function to elucidate setting and character in two of the studied short stories. Joshua's drafts evidenced considerable progress from last week and we explored how to expand his analysis of character by addressing character perspective as evidence of cultural background. I further pointed out examples of symbolism and irony he could have included in his character essay. Regarding setting, again Joshua's work displayed insight. I explained how imagery in the setting likewise enhanced setting and functioned to both highlight the character's longing to escape from the clutches of her father as well as her ambiguity toward leaving home.

We will review the limits unit using the college board outline. I will add my insights into limits that help me understand this concept. We will make sure that Josh has a complete understanding of these ideas before we proceed to derivatives.

Demonstrate the affect of inertia on an object in motion. Discuss the relationship of mass and inertia. Indicate how a greater force is required to change the state of motion. Discuss mass and volume definitions. Define weight as a force, mass x pull of gravity, measured in Newtons. Discuss why an object tossed into the air while on a moving train does not crash into the rear door.

Discuss the Brownian motion which is exhibited in colloidal solutions. Discuss Graham's law and the factors which affect the rate of effusion over time. Write the mathematical formula for Graham's law showing that the rate of effusion of a gas is inversely proportional to the square root of the molar masses of each gas. Solve some problems determining the rate of effusion and the mass density.

After reviewing the AP definition of the literary elements character setting, and narrative voice, we worked on rewriting Joshua's paragraph characterizing Silas Marner. I demonstrated how to form a strong topic sentence or claim that delved into the character's personal history, bias, and motives. I then provided instruction on how to embed quotes that capture character and on how to analyze how a behavior is a result of character. Last, we discussed and rewrote sentences explaining how literary devices such as personification function to highlight a character's actions and behavior.

We will work through a proof that the limit of sin(x)/x as x approaches zero is equal to one. We will identify the important mathematics that is needed to complete this proof and what this proof allows us to do in other proofs. The proof will involve the sandwich theorem of limits and we will emphasize the use of the rule of four in the process.

Discuss forces which are acting on a model car placed on the table. Discuss friction effect. Discover why friction is a force which acts opposite the push or pull force. Discuss friction in terms of irregular surface. Discuss the effect of friction on the motion of the object. Elicit the affect on the car if no friction was present on the surface. Discuss what is necessary in order to prevent the car from stopping. Illustrate infinite movement from a single force if friction was zero. Discuss inertia as a force needed to overcome friction to begin movement.

Define heterogenous mixtures and differentiate them from homogenous types. Discuss the two major types of heterogenous mixtures, suspensions and colloids. Discuss thixotropic mixtures and list several examples of each. Discuss colloids and particle size size differences.View diagrams to illustrate how colloids are more stable than suspensions. Introduce Brownian motion.

As we are working on drafting one paragraph characterization, I first distributed a model essay based on an AP exam. We studied how the model focuses on character bias and traits and further identifies the literary techniques employed by the passage's author. We then reviewed Joshua's AP homework on AP classroom and reviewed multiple choice questions focused on identifying and inferring character. I then began instruction on the function of plot , and using The Great Gatsby discussed how how plot sequencing impacts point of view and narrator perspective.

Discuss support force and gravity on an object. Discuss states of motion for objects at equilibrium and the net force equal to zero. Define equilibrium. Discuss the effect of friction. Introduce the 2 stages of equilibrium.