Unit 6

Coordinate Geometry

Section A

Transformations in the Plane

1

Rigid Transformations in a Plane

Let’s try transformations with coordinates.

2

Transformations as Functions

Let’s compare transformations to functions.

3

Types of Transformations

Let’s analyze transformations that produce congruent and similar figures.

Section A

Transformations in the Plane

1

Rigid Transformations in a Plane

Let’s try transformations with coordinates.

2

Transformations as Functions

Let’s compare transformations to functions.

3

Types of Transformations

Let’s analyze transformations that produce congruent and similar figures.

Section B

Distances, Circles, and Parabolas

4

Distances and Circles

Let’s build an equation for a circle.

5

Squares and Circles

Let’s see how the distributive property can relate to equations of circles.

6

Completing the Square

Let’s rewrite equations to find the center and radius of a circle.

7

Distances and Parabolas

Let’s analyze the set of points that are the same distance from a given point and a given line.

8

Equations and Graphs

Let’s write an equation for a parabola.

Section B

Distances, Circles, and Parabolas

1

Distances and Circles

Let’s build an equation for a circle.

2

Squares and Circles

Let’s see how the distributive property can relate to equations of circles.

3

Completing the Square

Let’s rewrite equations to find the center and radius of a circle.

4

Distances and Parabolas

Let’s analyze the set of points that are the same distance from a given point and a given line.

5

Equations and Graphs

Let’s write an equation for a parabola.

Section C

Proving Geometric Theorems Algebraically

9

Equations of Lines

Let’s investigate equations of lines.

10

Parallel Lines in the Plane

Let’s investigate parallel lines in the coordinate plane.

11

Perpendicular Lines in the Plane

Let’s analyze the slopes of perpendicular lines.

12

It’s All on the Line

Let’s work with both parallel and perpendicular lines.

13

Intersection Points

Let’s look at how circles and parabolas interact with lines.

14

Coordinate Proof

Let’s use coordinates to prove theorems and to compute perimeter and area.

15

Weighted Averages

Let’s split segments using averages and ratios.

16

Weighted Averages in a Triangle

Let’s partition special line segments in triangles.

17

Lines in Triangles

Let’s investigate more special segments in triangles.

Section C

Proving Geometric Theorems Algebraically

1

Equations of Lines

Let’s investigate equations of lines.

2

Parallel Lines in the Plane

Let’s investigate parallel lines in the coordinate plane.

3

Perpendicular Lines in the Plane

Let’s analyze the slopes of perpendicular lines.

4

It’s All on the Line

Let’s work with both parallel and perpendicular lines.

5

Intersection Points

Let’s look at how circles and parabolas interact with lines.

6

Coordinate Proof

Let’s use coordinates to prove theorems and to compute perimeter and area.

7

Weighted Averages

Let’s split segments using averages and ratios.

8

Weighted Averages in a Triangle

Let’s partition special line segments in triangles.

9

Lines in Triangles

Let’s investigate more special segments in triangles.

Section D

Let’s Put It to Work

18

Applying Area and Perimeter on the Plane

Let’s use coordinate geometry with a real-world situation.

Section D

Let’s Put It to Work

1

Applying Area and Perimeter on the Plane

Let’s use coordinate geometry with a real-world situation.

Section A

Transformations in the Plane

1

Rigid Transformations in a Plane

Let’s try transformations with coordinates.

2

Transformations as Functions

Let’s compare transformations to functions.

3

Types of Transformations

Let’s analyze transformations that produce congruent and similar figures.

Section D

Let’s Put It to Work

18

Applying Area and Perimeter on the Plane

Let’s use coordinate geometry with a real-world situation.

Section B

Distances, Circles, and Parabolas

4

Distances and Circles

Let’s build an equation for a circle.

5

Squares and Circles

Let’s see how the distributive property can relate to equations of circles.

6

Completing the Square

Let’s rewrite equations to find the center and radius of a circle.

7

Distances and Parabolas

Let’s analyze the set of points that are the same distance from a given point and a given line.

8

Equations and Graphs

Let’s write an equation for a parabola.

Section C

Proving Geometric Theorems Algebraically

9

Equations of Lines

Let’s investigate equations of lines.

10

Parallel Lines in the Plane

Let’s investigate parallel lines in the coordinate plane.

11

Perpendicular Lines in the Plane

Let’s analyze the slopes of perpendicular lines.

12

It’s All on the Line

Let’s work with both parallel and perpendicular lines.

13

Intersection Points

Let’s look at how circles and parabolas interact with lines.

14

Coordinate Proof

Let’s use coordinates to prove theorems and to compute perimeter and area.

15

Weighted Averages

Let’s split segments using averages and ratios.

16

Weighted Averages in a Triangle

Let’s partition special line segments in triangles.

17

Lines in Triangles

Let’s investigate more special segments in triangles.

Unit | Loading...

Settings

Audience

Assessment Access

Coordinate Geometry

Unit 6 Resources

Transformations in the Plane

Rigid Transformations in a Plane

Transformations as Functions

Types of Transformations

Transformations in the Plane

Rigid Transformations in a Plane

Transformations as Functions

Types of Transformations

Distances, Circles, and Parabolas

Distances and Circles

Squares and Circles

Completing the Square

Distances and Parabolas

Equations and Graphs

Distances, Circles, and Parabolas

Distances and Circles

Squares and Circles

Completing the Square

Distances and Parabolas

Equations and Graphs

Proving Geometric Theorems Algebraically

Equations of Lines

Parallel Lines in the Plane

Perpendicular Lines in the Plane

It’s All on the Line

Intersection Points

Coordinate Proof

Weighted Averages

Weighted Averages in a Triangle

Lines in Triangles

Proving Geometric Theorems Algebraically

Equations of Lines

Parallel Lines in the Plane

Perpendicular Lines in the Plane

It’s All on the Line

Intersection Points

Coordinate Proof

Weighted Averages

Weighted Averages in a Triangle

Lines in Triangles

Let’s Put It to Work

Applying Area and Perimeter on the Plane

Let’s Put It to Work

Applying Area and Perimeter on the Plane

Transformations in the Plane

Rigid Transformations in a Plane

Transformations as Functions

Types of Transformations

Let’s Put It to Work

Applying Area and Perimeter on the Plane

Distances, Circles, and Parabolas

Distances and Circles

Squares and Circles

Completing the Square

Distances and Parabolas

Equations and Graphs

Proving Geometric Theorems Algebraically

Equations of Lines

Parallel Lines in the Plane

Perpendicular Lines in the Plane

It’s All on the Line

Intersection Points

Coordinate Proof

Weighted Averages

Weighted Averages in a Triangle

Lines in Triangles