Unit 7

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Circles

Section A

Distance and Circles

1

Connecting Distance and Circles

Let's look at points a given distance away from a particular point.

2

Equation of a Circle

Let’s build an equation for a circle.

3

Completing the Square

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

4

Intersection Points

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

Section A

Distance and Circles

1

Connecting Distance and Circles

Let's look at points a given distance away from a particular point.

2

Equation of a Circle

Let’s build an equation for a circle.

3

Completing the Square

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

4

Intersection Points

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

Section B

Lines, Angles, and Circles

5

Lines, Angles, and Curves

Let’s define some line segments and angles related to circles.

6

Inscribed Angles

Let’s analyze angles made from chords.

7

Tangent Lines

Let’s explore lines that intersect a circle at exactly 1 point.

Section B

Lines, Angles, and Circles

1

Lines, Angles, and Curves

Let’s define some line segments and angles related to circles.

2

Inscribed Angles

Let’s analyze angles made from chords.

3

Tangent Lines

Let’s explore lines that intersect a circle at exactly 1 point.

Section C

Polygons and Circles

8

Quadrilaterals in Circles

Let’s investigate quadrilaterals that fit in a circle.

9

Triangles in Circles

Let’s see how perpendicular bisectors relate to circumscribed circles.

10

A Special Point

Let’s see what we can learn about a triangle by watching how salt piles up on it.

11

Circles in Triangles

Let’s construct the largest possible circle inside of a triangle.

Section C

Polygons and Circles

1

Quadrilaterals in Circles

Let’s investigate quadrilaterals that fit in a circle.

2

Triangles in Circles

Let’s see how perpendicular bisectors relate to circumscribed circles.

3

A Special Point

Let’s see what we can learn about a triangle by watching how salt piles up on it.

4

Circles in Triangles

Let’s construct the largest possible circle inside of a triangle.

Section D

Measuring Circles

12

Arcs and Sectors

Let’s analyze portions of circles.

13

Part to Whole

Let’s see what we can figure out about a circle if we’re given information about a sector of the circle.

14

Angles, Arcs, and Radii

Let’s analyze relationships between arc lengths, radii, and central angles.

15

A New Way to Measure Angles

Let’s look at a new way to measure angles.

16

Radian Sense

Let’s get a sense for the sizes of angles measured in radians.

17

Using Radians

Let’s see how radians can help us calculate sector areas and arc lengths.

Section D

Measuring Circles

1

Arcs and Sectors

Let’s analyze portions of circles.

2

Part to Whole

Let’s see what we can figure out about a circle if we’re given information about a sector of the circle.

3

Angles, Arcs, and Radii

Let’s analyze relationships between arc lengths, radii, and central angles.

4

A New Way to Measure Angles

Let’s look at a new way to measure angles.

5

Radian Sense

Let’s get a sense for the sizes of angles measured in radians.

6

Using Radians

Let’s see how radians can help us calculate sector areas and arc lengths.

Section E

Let’s Put It to Work

18

Putting It All Together

Let’s use geometry to solve problems.

Section E

Let’s Put It to Work

1

Putting It All Together

Let’s use geometry to solve problems.

Section A

Distance and Circles

1

Connecting Distance and Circles

Let's look at points a given distance away from a particular point.

2

Equation of a Circle

Let’s build an equation for a circle.

3

Completing the Square

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

4

Intersection Points

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

Section E

Let’s Put It to Work

18

Putting It All Together

Let’s use geometry to solve problems.

Section C

Polygons and Circles

8

Quadrilaterals in Circles

Let’s investigate quadrilaterals that fit in a circle.

9

Triangles in Circles

Let’s see how perpendicular bisectors relate to circumscribed circles.

10

A Special Point

Let’s see what we can learn about a triangle by watching how salt piles up on it.

11

Circles in Triangles

Let’s construct the largest possible circle inside of a triangle.

Section D

Measuring Circles

12

Arcs and Sectors

Let’s analyze portions of circles.

13

Part to Whole

Let’s see what we can figure out about a circle if we’re given information about a sector of the circle.

14

Angles, Arcs, and Radii

Let’s analyze relationships between arc lengths, radii, and central angles.

15

A New Way to Measure Angles

Let’s look at a new way to measure angles.

16

Radian Sense

Let’s get a sense for the sizes of angles measured in radians.

17

Using Radians

Let’s see how radians can help us calculate sector areas and arc lengths.

Section B

Lines, Angles, and Circles

5

Lines, Angles, and Curves

Let’s define some line segments and angles related to circles.

6

Inscribed Angles

Let’s analyze angles made from chords.

7

Tangent Lines

Let’s explore lines that intersect a circle at exactly 1 point.

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Circles

Unit 7 Resources

Distance and Circles

Connecting Distance and Circles

Equation of a Circle

Completing the Square

Intersection Points

Distance and Circles

Connecting Distance and Circles

Equation of a Circle

Completing the Square

Intersection Points

Lines, Angles, and Circles

Lines, Angles, and Curves

Inscribed Angles

Tangent Lines

Lines, Angles, and Circles

Lines, Angles, and Curves

Inscribed Angles

Tangent Lines

Polygons and Circles

Quadrilaterals in Circles

Triangles in Circles

A Special Point

Circles in Triangles

Polygons and Circles

Quadrilaterals in Circles

Triangles in Circles

A Special Point

Circles in Triangles

Measuring Circles

Arcs and Sectors

Part to Whole

Angles, Arcs, and Radii

A New Way to Measure Angles

Radian Sense

Using Radians

Measuring Circles

Arcs and Sectors

Part to Whole

Angles, Arcs, and Radii

A New Way to Measure Angles

Radian Sense

Using Radians

Let’s Put It to Work

Putting It All Together

Let’s Put It to Work

Putting It All Together

Distance and Circles

Connecting Distance and Circles

Equation of a Circle

Completing the Square

Intersection Points

Let’s Put It to Work

Putting It All Together

Polygons and Circles

Quadrilaterals in Circles

Triangles in Circles

A Special Point

Circles in Triangles

Measuring Circles

Arcs and Sectors

Part to Whole

Angles, Arcs, and Radii

A New Way to Measure Angles

Radian Sense

Using Radians

Lines, Angles, and Circles

Lines, Angles, and Curves

Inscribed Angles

Tangent Lines