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Describe WHY this was your favorite lesson in at least 3 sentences. (don’t just say because it was easy that’s why you liked that lesson). Upload a picture of that lesson from your notebook.

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Answer the essential question from your favorite lesson (3 or more sentences).  Include a visual from internet that relates to it.

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Describe in 3 or more sentences how a topic in this chapter can be applied to the real world.  Include a visual that relates to it!

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This is my favorite lesson because it was very understandable and we used a lot of area models in this chapter. Area models were very important to learn about since we used them in every other lesson so the other lessons we learned about were easy to understand after learning about area models. It was also similar to other lessons since it dealt with x's, x2 and finding the product of the equation.

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My favorite essential question was "How can I determine the product?" because it was the essential question for factoring expressions that also dealt with are models which was my favorite lesson. There was also an easy answer to the essential which was a yes, you can determine the product by using the area model to get the sum and then getting the product. I also thought this was the only yes to the essential question in the lessons of this chapter which also made it my favorite.

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Area models can be applied to the real world because finding the area can be done in classrooms, in a hallway or anywhere. Finding the area is important in the real world because, it's good to know how much exactly is one certain area of a location and finding the area for something to fit in it. In the real world, finding the area of something is used a lot in construction or architecture to build houses and buildings we have today.

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This is my favorite lesson because circles are a very common shape and finding the area was fun to find. It was simple and fun because I just had to follow the area of the sector formula or the arc length formula which was very understandable for me. It was also interesting to learn that a circle has different parts such as, the radius, the circumference, the diameter, and the area.

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My favorite essential question was "What is the equation?" from the lesson "The equation of a circle". It was my favorite because the equation was used to help us determine where the circle was on the graph and it helped us know where to plot the point to form the circle. I also thought it was easy to find because the center was the h and k while the radius was the number being square rooted by.

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Circles can be applied to the real world because circles can be used in man made creations all over the world. It is used to help make Ferris wheels, cups, candles, and door nobs which are needed for different things. Circles also help maintain natural things around the world like Manicouagan Reservoir in Canada, United States Capitol in Washington, D.C., the Duomo of the Florence Cathedral, and St. Peter’s Basilica in Vatican City.

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This was my favorite lesson because transforming graphs was fun to do, especially since the equation was already written out for me. All I had to do was figure out if the graph shifted down, shifted up, shifted right, shifted left, compressed, reflected and stretched. I also liked how every graph had at least 3 things in their equations and most of them where either shifted left or shifted right which very simple to understand and help me learn more about graphs.

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My favorite essential question was "What does the equation reveal?" from the lesson "Graphing Form of a quadratic Function. It was my favorite because this lesson helped us determine was the vertex of the graph was and we had to use an are model with a bunch of other steps but learning about area models from previous lessons helped me understand the lesson more since I already knew how to do most of it. I also liked how the vertex outcome was hidden in the equation and I was able to determine it from the numbers we got from the area model.

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Transformations can be applied to the real world because it can be used in art, make up, design, movies and in fashion. It helps us transforms things into something else, like characters from movies transforming into their hero self's or using a old jacket and turning it into a skirt. Without Transformation we wouldn't be able to transform things into something better in a way that could improve the world or environment.