Learning Goal
Equation of a circle (standard form, completing the square)
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
"Create an equation to represent a circle in the xy-plane."
"Describe how a change to the equation representing a circle affects the graph of the circle in the xy-plane or how a change to the graph of a circle affects the equation that represents the circle."
"Understand that the ordered pairs that satisfy an equation of the form (x - h)^2 + (y - k)^2 = r^2 form a circle when plotted in the xy-plane."
"Complete the square in an equation representing a circle to determine properties of the circle when it is graphed in the xy-plane and use the distance formula in problems related to circles."
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"Create an equation to represent a circle in the xy-plane."
"Describe how a change to the equation representing a circle affects the graph of the circle in the xy-plane or how a change to the graph of a circle affects the equation that represents the circle."
"Understand that the ordered pairs that satisfy an equation of the form (x - h)^2 + (y - k)^2 = r^2 form a circle when plotted in the xy-plane."
"Complete the square in an equation representing a circle to determine properties of the circle when it is graphed in the xy-plane and use the distance formula in problems related to circles."
What you'll learn
- Write the equation of a circle in standard form (x - h)^2 + (y - k)^2 = r^2 given its center and radius
- Identify the center (h, k) and radius r from a standard-form circle equation
- Convert a circle equation from general form (x^2 + y^2 + Dx + Ey + F = 0) to standard form by completing the square
- Graph a circle on the coordinate plane by plotting the center and using the radius
- Describe how a change to a circle's equation changes its graph, and how a change to the graph changes the equation
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
Not yet available • Check back soon!
Practice
Try it on your own