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= __The Slope Formula __ = **__NY State Content Standards:__** Perform algebraic procedures accurately; Use functions to model relationships between quantities; Define, evaluate, and compare functions.

__**Objectives:**__ Students will be able to identify the characteristics of slope. Students will be to calculate slope give two points.

__**Abstract:**__ Four sketches of the different types of slope will be displayed on the SmartBoard and on students pre-printed notes. Students are asked to think about skiing on a mountain. They are to circle the graph that they cannot ski on and label it as undefined. Then students are to then label the remaining three graphs as positive, negative and zero. We discuss why they label the graphs the way they did. I then define slope and discuss its characteristic.  Next, a linear equations (a line) will be drawn on a coordinate plane and each students will have to write down two ordered pairs. Some students will have same ordered pairs and some will not, there will be a variety of ordered pairs. I introduce slope and its purpose, students will need to think about if the slope is the same throughout a line (this is a question that I will ask). Before answering the question, the slope formula will be introduced. I will then model using the formula (all eyes on me). I will label my ordered pairs and substitute the values of my ordered pairs (the ordered pairs used to model were not taken from the line) into the formula. I will now reveal my selected ordered pairs from the given line. Again, the slope formula will be used and modeled with the two selected ordered pairs .This time students will be involved and will be following my lead. We will write down the few steps to ensure accuracy and success when using the formula. Have students summarize, re-explain/re-model the use of the slope formula. One this is done, have students use the formula on their selected ordered pairs. This should take a few minutes, then pick or ask several students to share their answers. Everyone's answer will be same. Revisit the question that was asked ( Is the slope going to be same throughout the line?) previously and discuss the answer.

**__Assessment__**: A quiz in PowerPoint form will be given. Quiz will consist of ten questions. Six of the questions will be fill in, two questions will be true or false and two question will be multiple choice.

__**Goals:**__ By the end of the lesson, I would like to know my students can recognize and distinguish the different types of slopes and can calculate slope using the slope formula.