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ResourceSpotlight
Students will begin this activity by looking at inscribed angles and central angles and work towards discovering a relationship among the two, the Inscribed Angle Theorem. Then, students will look at two corollaries to the theorem.
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Texas Instruments, Inc.
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ResourceSpotlight
Students will begin this activity by looking at inscribed angles and central angles and work towards discovering a relationship among the two, the Inscribed Angle Theorem. Then, students will look at two corollaries to the theorem.
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Texas Instruments, Inc.
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ResourceSpotlight
Students are introduced to capturing data to create a mathematical relationship between the area and radius of a circle. Students will explore the area of a circle numerically, graphically, and algebraically.
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Texas Instruments, Inc.
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ResourceSpotlight
Students will begin this activity by exploring how the chord in a circle is related to its perpendicular bisector. Investigation will include measuring lengths and distances from the center of the circle. These measurements will then be transferred to a graph to see the locus of the intersection point of the measurements as the endpoint of a chord is moved around the circle. In the extension, students will be asked to find an equation for the ellipse that models the relationship.
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Texas Instruments, Inc.
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ResourceSpotlight
Students will explore the relationships among special segments in circles. The special segments include tangent segments, segments created by two intersecting chords, and secant segments. Students will confirm relationships among segments to explore these Power Theorems.
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Texas Instruments, Inc.
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ResourceSpotlight
Students will explore angles constructed in a circle and how their measures are related to the measures of the intercepted arcs. Beginning with central and inscribed angles, students will investigate the angle-arc relationships. Then students will explore a figure that has an angle vertex either inside the circle (angles formed by chords) or outside the circle (angles formed by secants).
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Texas Instruments, Inc.
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ResourceSpotlight
Students will explore the relationship between a line segment and its perpendicular bisector. The concept of a point that is equidistant from two points is illustrated.
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Texas Instruments, Inc.
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ResourceSpotlight
Students will begin this activity by exploring how the chord in a circle is related to its perpendicular bisector. Investigation will include measuring lengths and distances from the center of the circle. These measurements will then be transferred to a graph to see the locus of the intersection point of the measurements as the endpoint of a chord is moved around the circle. In the extension, students will be asked to find an equation for the ellipse that models the relationship.
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Texas Instruments, Inc.
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ResourceSpotlight
In this activity, students will explore the relationships among special segments in circles. The special segments include tangent segments, segments created by two intersecting chords, and secant segments. Students will store variables and use both the automated and manual data capture features in a spreadsheet and write formulas in spreadsheets to confirm relationships among segments.
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Texas Instruments, Inc.
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ResourceSpotlight
Students will explore angles constructed in a circle and how their measures are related to the measures of the intercepted arcs. Beginning with central and inscribed angles, students will investigate the angle-arc relationships. Then students will explore a figure that has an angle vertex either inside the circle (angles formed by chords) or outside the circle (angles formed by secants).
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Texas Instruments, Inc.
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