Geometry Power Standards Resources
SPI 3108.1.4
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SPI 3108.1.4 Use definitions, basic postulates, and theorems about points, lines, angles, and planes to write/complete proofs and/or to solve problems.
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Interactive: Parallel Lines
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Interactive: Angles and Triangles
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Interactive: Lines and Planes
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Interactive: Conditional, Converse, Inverse, and Biconditional Statements
SPI 3108.3.2
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SPI 3108.3.2 Use coordinate geometry to prove characteristics of polygonal figures.
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Interactive Lesson: Slope
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Interactive Lesson: Distance Formula
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Interactive Lesson: Midpoint Formula
SPI 3108.4.2
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SPI 3108.4.2 Define, identify, describe, and/or model plane figures using appropriate mathematical symbols (including collinear and non-collinear points, lines, segments, rays, angles, triangles, quadrilaterals, and other polygons).
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Interactive: Locus
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Interactive Lesson: Locus
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Game: Geometry Review Bingo
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Game: GeoCaching Review Game
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Interactive Lessons: Quadrilaterals
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Interactive: Quadrilaterals (Mulitple Lessons)
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Interactive: Polygons (Multiple Lessons)
SPI 3108.4.7
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SPI 3108.4.7 Compute the area and/or perimeter of triangles, quadrilaterals and other polygons when one or more additional steps are required (e.g. find missing dimensions given area or perimeter of the figure, using trigonometry).
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Interactive: Area and Perimeter Explorer
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Interactive Lesson: Area of Hexagon
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Interactive Lesson: Area of Octagon
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Interactive Lesson: Area of Pentagon
SPI 3108.4.8
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SPI 3108.4.8 Solve problems involving area, circumference, area of a sector, and/or arclength of a circle.
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Interactive: Area of a Circle
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Interactive: Area of Sectors
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Interactive Lesson: Arc Length and other Circle Lessons
SPI 3108.4.9
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SPI 3108.4.9 Use right triangle trigonometry and cross-sections to solve problems involving surface areas and/or volumes of solids.
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Interactive Lesson: Surface Area and Volume
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Interactive: Surface Area and Volume
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Interactive Lessons: Surface Area and Volume (Multiple Activities)
SPI 3108.4.12
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SPI 3108.4.12 Solve problems involving congruence, similarity, proportional reasoning and/or scale factor of two similar figures or solids.
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Interactive: Proofs of Congruent Triangles
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Interactive: Proportionality (Multiple Lessons)
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Video Lesson: Proving Triangles Congruent Using SSS,SAS,AAS,ASA
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Examples: Dimensional Analysis Problems
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Video Lessons: Volume
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Video: Dimensional Analysis (scroll down)
SPI 3108.4.14
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SPI 3108.4.14 Use properties of right triangles to solve problems (such as involving the relationship formed when the altitude to the hypotenuse of a right triangle is drawn).
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Interactive: Altitude of a Right Triangle
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Interactive: Special Triangle Segments
SPI 3108.4.15
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SPI 3108.4.15 Determine and use the appropriate trigonometric ratio for a right triangle to solve a contextual problem.
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Interactive Applet: Trig Ratios
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Quiz Applet: Trig Countdown
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Interactive Lesson: Triangles and Waves