# data[].attributes.body
This is my favorite lesson becacuse I like solving the area model and pluging in the numbers into the box. I also like how you can plug in the numbers either on the top and side or bottom and the side.I overall like how there are different number that answers the area model not just one option as an answer.

# data[].attributes.body
You can determine the product by making a area model and pluging in the first and lag number on the equation into the area model and finding two numbers that multiply to make the middle number in the equation.Then finish solving the area mocel by filling out the numbers that are multiplied to make the numbers from thye inside and write them out side of the area model.Finally take the numebrs outside of the model and put them into parenthesis.

# data[].attributes.headline
How do factoring expressions relate to the real world?

# data[].attributes.subject
How do factoring expressions relate to the real world?

# data[].attributes.body
There are different ways expressions are used in the real world such as building pools and backyards.The area model solving the expressions is like trying to make the meassuments to build a pool and finding the meausuments.There are also used for diving things,comapring prices and much more.

# data[].attributes.body
This is my favorite lesson because its a pretty long process but is all about plugging in numbers and can be fun to do when you get the hang of them.Its also my favorite lesson because it has a combination of a area model and square rooting to find the final two answers and I like to do both.I overall like this lesson because Its a problme I enyoy solving because of the steps and plugging in numbers.

# data[].attributes.body
You can generalize completing the square by setting the equation to equal to 0 by subtracting or adding to both sides depending on the equation.Then making the leading coefficient equal to one by division if necessary.Finally by finding the value of half the second coefficient and then square that value.

# data[].attributes.headline
How does completing the square relate to the real world?

# data[].attributes.subject
How does completing the square relate to the real world?

# data[].attributes.body
Completeing the square relates to the real world by telling uu the lenght of arrows,missles and trowing a stone.Its also used when creating a new style of a bike.Its also used a lot by prodiving information needed to maximize profit and a lot more.

# data[].attributes.body
This was my favotite lesson because plugging in the numbers and graphing them was a process that I liked learning about.I liked the way the format of the equation is written out and just have to plug in the numbers that are given and also when its not given its intresting how you are able to find the circle information by just looking at the graph given to us.

# data[].attributes.body
The equation is (x-h)² +(y-k)²= r². H and k represent the coordinates of the center of the circle, and r represents the raduis of the circle. If a circle is tangent to the x-axis at for exmaple (3,0) that means it touches the x-axis at that point.

# data[].attributes.headline
How does equations of circles relate to the real world?

# data[].attributes.subject
How does equations of circles relate to the real world?

# data[].attributes.body
Equations of circles are used in the real world to build structures,making simulators,estimate finance intruments.Its also used for graphics, landscaping and transportation. Determining size of things is the one it is used for the most.