Thinkfinity Lesson Plans
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Title: Soda Cans
Description:
This reproducible activity sheet, from an Illuminations lesson, guides students through a simulation in which they try different arrangements to make the most efficient use of space and thus pack the most soda cans into a rectangular packing box.
Standard(s): [MA2015] ALC (912) 11: Use ratios of perimeters, areas, and volumes of similar figures to solve applied problems. (Alabama)
Subject: Mathematics Title: Soda Cans
Description: This reproducible activity sheet, from an Illuminations lesson, guides students through a simulation in which they try different arrangements to make the most efficient use of space and thus pack the most soda cans into a rectangular packing box. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Chord Problem
Description:
This reproducible transparency, from an Illuminations lesson, contains a chord problem in which students must identify the value of Y and explain their work.
Standard(s): [MA2015] GEO (912) 25: Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. [GC2]
Subject: Mathematics Title: Chord Problem
Description: This reproducible transparency, from an Illuminations lesson, contains a chord problem in which students must identify the value of Y and explain their work. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Power of Points
Description:
In this Illuminations lesson, students discover that the ChordChord Power theorem, the SecantSecant Power theorem, and the TangentSecant Power theorem are related applications of the Power of Point theorem. Students use their discoveries to solve numerical problems. In addition, there are links to an online activity and other related resources.
Standard(s): [MA2015] GEO (912) 25: Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. [GC2]
Subject: Mathematics Title: Power of Points
Description: In this Illuminations lesson, students discover that the ChordChord Power theorem, the SecantSecant Power theorem, and the TangentSecant Power theorem are related applications of the Power of Point theorem. Students use their discoveries to solve numerical problems. In addition, there are links to an online activity and other related resources. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Thinkfinity Learning Activities
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Title: Hexagon Island
Description:
This student interactive, from an Illuminations lesson, allows students to explore the distances from an interior point of a hexagon to its sides and determine the sum of these perpendicular distances.
Standard(s): [MA2015] GEO (912) 25: Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. [GC2]
Subject: Mathematics Title: Hexagon Island
Description: This student interactive, from an Illuminations lesson, allows students to explore the distances from an interior point of a hexagon to its sides and determine the sum of these perpendicular distances. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Power of a Point
Description:
This student interactive, from an Illuminations lesson, allows students to investigate what happens when point P is moved to various points within, on, and outside the circle. Students identify any relationships among the segments and radius.
Standard(s): [MA2015] GEO (912) 25: Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle. [GC2]
Subject: Mathematics Title: Power of a Point
Description: This student interactive, from an Illuminations lesson, allows students to investigate what happens when point P is moved to various points within, on, and outside the circle. Students identify any relationships among the segments and radius. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Soccer Problem
Description:
This student interactive, from an Illuminations lesson, allows students to investigate a soccer problem by changing the location of a soccer player as well as the distance between the player and the goal posts. The angle changes as the player is moved, and students must therefore determine the player s position so that the angle is maximized.
Standard(s): [MA2015] GEO (912) 41: Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost, working with typographic grid systems based on ratios).* [GMG3]
Subject: Mathematics Title: Soccer Problem
Description: This student interactive, from an Illuminations lesson, allows students to investigate a soccer problem by changing the location of a soccer player as well as the distance between the player and the goal posts. The angle changes as the player is moved, and students must therefore determine the player s position so that the angle is maximized. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12

