## HSG-C.B.5

## Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.

15 Lesson(s)

### Sector Area Application: The Grazing Goat

Geometry »
Unit: Geometric Measurement and Dimension

Geometry »
Unit: Geometric Measurement and Dimension

### Strategies for Decomposing 2-D Figures

Geometry »
Unit: Geometric Measurement and Dimension

Geometry »
Unit: Geometric Measurement and Dimension

### Circumference-Diameter Ratio and Arc Length

Geometry »
Unit: Discovering and Proving Circles Properties

Geometry »
Unit: Discovering and Proving Circles Properties

### Sectors of Circles

Geometry »
Unit: Geometric Measurement and Dimension

Geometry »
Unit: Geometric Measurement and Dimension

### Extreme Couponing: Pizza Edition

Geometry »
Unit: Geometric Measurement and Dimension

Geometry »
Unit: Geometric Measurement and Dimension

### Riding a Ferris Wheel - Day 2 of 2

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### Make the transition from the Ferris wheel problem to the unit circle.

Standards:

Favorites
(3)

Resources
(10)

Reflections
(1)

### Arc Length and Sector Area

12th Grade Math »
Unit: Trigonometry: Circles

12th Grade Math »
Unit: Trigonometry: Circles

Big Idea:

#### Students find their friend similarity lurking in a table of repeated calculations. A firm concept of radian measure follows close behind.

Standards:

Favorites
(11)

Resources
(14)

Big Idea:

#### After watching a BrainPop! students will derive the formula for area of a sector and apply these to problems.

Standards:

Favorites
(16)

Resources
(14)

### Is John Guilty

12th Grade Math »
Unit: Trigonometry as a Real-Valued Functions

12th Grade Math »
Unit: Trigonometry as a Real-Valued Functions

Big Idea:

#### By analyzing data from an accident students will determine whether a driver was speeding when he wrecked his vehicle.

Standards:

Resources
(19)

Reflections
(2)

### Radian Measure

12th Grade Math »
Unit: Trigonometry: Circles

12th Grade Math »
Unit: Trigonometry: Circles

### Area "Quest"

Geometry »
Unit: Geometric Measurement and Dimension

Geometry »
Unit: Geometric Measurement and Dimension

### Review of Circles Learning Targets

12th Grade Math »
Unit: Trigonometry: Circles

12th Grade Math »
Unit: Trigonometry: Circles

Big Idea:

#### Students work together to review and synthesize their knowledge of circles.

Standards:

Resources
(10)

### Deriving Formulas for Sector Area and Arc Length

Geometry »
Unit: Unit Circle Trigonmetry

Geometry »
Unit: Unit Circle Trigonmetry

Big Idea:

#### We're PROs at PORTIONS of circles.

Standards:

Favorites
(4)

Resources
(11)

Reflections
(1)

### Define Radian Measure

Geometry »
Unit: Unit Circle Trigonmetry

Geometry »
Unit: Unit Circle Trigonmetry

### Unit 3 Exam

12th Grade Math »
Unit: Trigonometry: The Unit Circle

12th Grade Math »
Unit: Trigonometry: The Unit Circle

Big Idea:

#### This exam consists of both Unit Circle SLTs, as well as two earlier SLTs into which we've delved deeper in this unit.

Standards:

Resources
(4)

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