Linear vs Quadratic Form of an Equation Individual

Linear vs. Quadratic

Form of an Equation •

Individual Task • Find one ordered pair in the form (x, y) using your two cards • Create two equations that contain the point above – One Linear – One Quadratic • Pick one equation to plot by hand on lined/graph paper

Individual Task • Now, graph the second equation you created on the calculator – What form should the equation be in? – Make sure to adjust your viewing window

Exit Ticket Questions • When looking at a graph, how can I find its intercepts? • Is there anything that you don’t understand from today’s lesson? • Is there anything that could have been explained better

Today’s Problem • If 6 cats kill 6 rats in 6 minutes, how many will be needed to kill 100 rats in 50 minutes?

Important Points • Please make sure you are focused on the work we are doing in class… I shouldn’t be seeing work from other classes on your desk. While I want you to be successful in other classes, this class is important too! • Please attempt the activities during class. Having paper and a writing utensil on your desk is just a start.

Symmetry • Name one real-life object having symmetry • Draw one graph having symmetry – Also include the equation!!

Key Equations •

Find the solution… •

Exit Ticket Questions • Please draw a picture describing what you learned today • Make sure to include a written explanation of your drawing

Riddle for the day… • There are four men who want to cross a bridge. They all begin on the same side. You have 17 minutes to get all of them across to the other side. It is night. There is one flashlight. A maximum of two people can cross at one time. Any party who crosses, either one or two people, must have the flashlight with them. The flashlight must be walked back and forth, it cannot be thrown, etc. Each man walks at a different speed. A pair must walk together at the rate of the slower man • Man 1: 1 minute to cross Man 2: 2 minutes to cross Man 3: 5 minutes to cross Man 4: 10 minutes to cross • For example, if Man 1 and Man 4 walk across first, 10 minutes have elapsed when they get to the other side of the bridge. If Man 4 returns with the flashlight, a total of 20 minutes have passed, and you have failed the mission.

Answer • Men 1 and 2 travel over and man 2 brings back the flashlight: 4 min. • Men 3 and 4 travel over and man 1 brings back the flashlight: 11 min. • Men 1 and 2 travel over: 2 min. • Total: 17 min

Homework Questions?

Learning Objectives • At the end of this lesson, YOU will be able to… – Write the equation of a circle in standard form – Graph a circle by hand by using a graphing utility – Use the general form of the equation of a circle

Math Questions?

Equation of a Circle •

Equation of a Circle •

Standard Form to General Form •

How did you do? – Write the equation of a circle in standard form – Graph a circle by hand by using a graphing utility – Use the general form of the equation of a circle

Exit Ticket Questions • Show me in some way (graph, explanation, picture, be creative!) how changing the values of h, k, and r influences where a circle is positioned in the x-y plane. • Is there anything you don’t understand from today’s lesson? Any lingering questions?