Analytic Geometry (B)
Analytic Geometry (B)
We are currently studying algebraic and geometric connections. Students will:
We are currently studying algebraic and geometric connections. Students will:
- Derive the equation of a circle of given center and radius using the Pythagorean Theorem;
- Complete the square to find the center and radius of a circle given by an equation.
- Use coordinates to prove simple geometric theorems algebraically.
- For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle;
- prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0,2).
This week's focus:
This week's focus:
What?:
What?:
I am learning to derive the equation of a circle in standard form, given center and radius or expanded form.
Why?:
Why?:
I am learning to do this because the equations of circles are given in different forms.
How?:
How?:
I will know that I understand when I can write the equation of a circle in standard form, given expanded form or certain characteristics of a circle.
