Distances
Unit 6 ● Lesson 7 ● Activity 1
Have you seen a curve like this before, and if so, what characteristics about it can you recall?
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
Warm-up: Notice and Wonder
Distances and Parabolas
Unit 6
Lesson 7
Coordinate Geometry
GEOMETRY
Unit 6 ● Lesson 7
I know that a parabola is the set of points equidistant from a given point and line.
Learning
Targets
Geometry
parabola
Unit 6 ● Lesson 7
A parabola is the set of points that are equidistant from a given point, called the focus, and a given line, called the directrix.
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
Glossary
On Point
Unit 6 ● Lesson 7 ● Activity 3
The image shows a parabola with focus (6,4) and directrix y = 0 (the -axis).
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
A Point and a Line
Unit 6 ● Lesson 7 ● Activity 4
The image shows a point and a line. Suppose we create a parabola using the point as the focus and the line as the directrix. Decide whether each point on the list is on this parabola. Explain your reasoning.
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.
Lesson Synthesis
Cool-down