1. Warm up
What is the difference between average velocity and instantaneous velocity?
Unit 1 Test Grades will be in PowerSchool today!
Test Corrections:
Tuesday in class (only if we have time)
Lunch: Tuesday, Wednesday, Thursday
Afterschool: Thursday (until 5pm)

2. Tangent Lines

3. What is a Circle?
A circle is a set of points equal distance from one point called the center.
The line segment from the center to the edge of the circle is called the radius.

4. What is a Chord?
A chord is a line segment that touches the edges of the inside of a circle.

5. What is a Chord? The longest Chord in a circle is called the diameter.
The diameter goes through the center and have two equal radii.

6. What is a Secant?
A secant is a line touching the circle at two points

7. What is a Tangent?
A line or line segment touching the circle at one point.

8. Point of Tangency Theorem
If a line is tangent to a circle, then it makes a right angle to the radius at the point of tangency.

9. Slope of a Line
We learned how the slope of a line indicates the rate at which a line rises or falls. For a line, this rate (or slope) is the same at every point on the line.
For graphs other than lines, the rate at which the graph rises or falls changes from point to point.

10. Tangent Line to a Graph
Drawing the tangent line at any given point on the curve allows us to see the slope at that point.
The parabola is rising more quickly at the point (x1, y1) than it is at the point (x2, y2).
At the vertex (x3, y3), the graph levels off.
At the point (x4, y4) the graph is falling.

11. Tangent Line to a Graph
To determine the rate at which a graph rises or falls at a single point, you can find the slope of the tangent line at that point.
In simple terms, when looking at the graph of a function, the tangent line of point P is the line that best approximates the slope of the graph at the point.

12. Average Velocity

13. Instantaneous Velocity