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Sector Area Application: The Grazing Goat

Geometry

» Unit:

Geometric Measurement and Dimension

Big Idea:Students use a variety of tools (graph paper, compasses, string) and strategies to solve the Grazing Goat problem in their groups.

Strategies for Decomposing 2-D Figures

Geometry

» Unit:

Geometric Measurement and Dimension

Big Idea:Through small group and whole class discussion, students will be able to make connections between multiple ways of viewing composite areas and shaded areas of circles.

Circumference-Diameter Ratio and Arc Length

Geometry

» Unit:

Discovering and Proving Circles Properties

Big Idea:Through a hands-on task involving circular objects, string, and measuring tools, students will make sense of pi!

Sectors of Circles

Geometry

» Unit:

Geometric Measurement and Dimension

Big Idea:In a group-worthy task, students use clues about sector area, arc length, and sector perimeter to solve their "dominos".

Extreme Couponing: Pizza Edition

Geometry

» Unit:

Geometric Measurement and Dimension

Big Idea:In Extreme Couponing, students use a variety of tools to convince each other of which coupon offers the customer a better deal.

Riding a Ferris Wheel - Day 2 of 2

12th Grade Math

» Unit:

Trigonometric Functions

Big Idea:Make the transition from the Ferris wheel problem to the unit circle.

Arc Length and Sector Area

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.

Area of Sectors in Circles

Geometry

» Unit:

Circles

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

Is John Guilty

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.

Radian Measure

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:Time invested in understanding similarity and in the π project pays off when students see the common sense behind the idea of radian measure.

Area "Quest"

Geometry

» Unit:

Geometric Measurement and Dimension

Big Idea:On this unit assessment, students will demonstrate their understanding of area on problems of varying difficulty.

Deriving Formulas for Sector Area and Arc Length

Geometry

» Unit:

Unit Circle Trigonmetry

Big Idea:We're PROs at PORTIONS of circles.

Review of Circles Learning Targets

12th Grade Math

» Unit:

Trigonometry: Circles

Big Idea:Students work together to review and synthesize their knowledge of circles.

Define Radian Measure

Geometry

» Unit:

Unit Circle Trigonmetry

Big Idea:Radius, radii, radians....Ready?

Unit 3 Exam

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.

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.