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Geometry Curriculum Resources

1st Nine Weeks

SPI 3108.1.1

Give precise mathematical descriptions or definitions of geometric shapes in the plane and space.
Interactive Practice: Vocabulary Matching
Game: Vocabulary Crossword Puzzle
Game: Vocabulary Crossword Puzzle
Game: Jeopardy Geometry Review
Games: Links to Many Geometry Games

SPI 3108.1.2

SPI 3108.1.2 Determine areas of planar figures by decomposing them into simpler figures without a grid.
Interactive: Area with a Grid
Interactive: Area without a Grid
Interactive: Area of Polygons

SPI 3108.1.3

SPI 3108.1.3 Use geometric understanding and spatial visualization of geometric solids to solve problems and/or create drawings.
Interactive: Geometric Constructions
Interactive: Trisect a Line Segment
Interactive Lesson: Constructions
Interactive Lesson: More Constructions

SPI 3108.1.4

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.
Interactive: Parallel Lines
Interactive: Angles and Triangles
Interactive: Lines and Planes
Interactive: Conditional, Converse, Inverse, and Biconditional Statements

SPI 3108.2.1

SPI 3108.2.1 Analyze, apply, or interpret the relationships between basic number concepts and geometry (e.g. rounding and pattern identification in measurement, the relationship of pi to other rational and irrational numbers)
Video: Rational and Irrational Numbers
Video: Rounding
Video: Pi

SPI 3108.4.1

SPI 3108.4.1 Differentiate between Euclidean and non-Euclidean geometries.
Download: Euclidean, Spherical, and Hyperbolic Constructions
Information: Euclidean vs. Non-Euclidean Geometry
Interactive: Non-Euclidean Drawing

SPI 3108.4.2

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).
Interactive Lessons: Quadrilaterals
Interactive: Quadrilaterals (Mulitple Lessons)
Interactive: Polygons (Multiple Lessons)

SPI 3108.4.3

SPI 3108.4.3 Identify, describe and/or apply the relationships and theorems involving different types of triangles, quadrilaterals and other polygons.
Interactive Lesson: Triangle Inequality Theorems
Interactive: Triangles (Multiple Lessons)
Interactive: Similar Triangles (Multiple Activities)

SPI 3108.4.4

SPI 3108.4.4 Analyze different types and formats of proofs.
Interactive Lesson: Direct Euclidean Proofs
Interactive Lesson: Indirect Euclidean Proofs
Interactive Lesson: Paragraph Proofs
Explanation: Induction Proofs

SPI 3108.4.6

SPI 3108.4.6 Use various area of triangle formulas to solve contextual problems (e.g., Heron’s formula, the area formula for an equilateral triangle, and A = ½ ab sin C).
Interactive Lesson: Area of Triangle using Trigonometry
Interactive: Area of Special Triangles
Video: Heron's Formula

SPI 3108.4.7

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).
Interactive: Area and Perimeter Explorer
Interactive Lesson: Area of Hexagon
Interactive Lesson: Area of Octagon
Interactive Lesson: Area of Pentagon

SPI 3108.4.8

SPI 3108.4.8 Solve problems involving area, circumference, area of a sector, and/or arclength of a circle.
Interactive: Area of a Circle
Interactive: Area of Sectors
Interactive Lesson: Arc Length and other Circle Lessons

SPI 3108.4.10

SPI 3108.4.10 Identify, describe, and/or apply transformations on two and three dimensional geometric shapes.
Interactive: 3D Transmographer

SPI 3108.4.11

SPI 3108.4.11 Use basic theorems about similar and congruent triangles to solve problems.
Interactive: Congruent Triangles
Interactive: Similar Triangles
Interactive: Similar Triangles - Ratio of Parts

SPI 3108.4.12

SPI 3108.4.12 Solve problems involving congruence, similarity, proportional reasoning and/or scale factor of two similar figures or solids.
Interactive: Proofs of Congruent Triangles
Interactive: Proportionality (Multiple Lessons)
Video Lesson: Proving Triangles Congruent Using SSS,SAS,AAS,ASA

SPI 3108.4.13

SPI 3108.4.13 Identify, analyze and/or use basic properties and theorems of circles to solve problems (including those relating right triangles and circles).
Interactive Lesson: Circle (Multiple Lessons)
Video Lessons: Circle Properties

SPI 3108.5.1

SPI 3108.5.1 Use area to solve problems involving geometric probability (e.g. dartboard problem, shaded sector of a circle, shaded region of a geometric figure).
Interactive: Adjustable Spinner
Interactive: Buffon's Needle
Interactive: Directable Fire

Apps

2nd Nine Weeks

SPI 3108.2.2

SPI 3108.2.2 Perform operations on vectors in various representations.
Interactive: Vector Graphing Calculator
Game: Vectors - Boat to the Island
Video Lessons: Vectors

SPI 3108.3.1

SPI 3108.3.1 Use algebra and coordinate geometry to analyze and solve problems about geometric figures (including circles).
Interactive Lesson: Coordinate Geometry Proofs
Interactive Lesson: Coordinate Geometry - Circles

SPI 3108.3.2

SPI 3108.3.2 Use coordinate geometry to prove characteristics of polygonal figures.
Interactive Lesson: Slope
Interactive Lesson: Distance Formula
Interactive Lesson: Midpoint Formula

SPI 3108.3.3

SPI 3108.3.3 Describe algebraically the effect of a single transformation (reflections in the x- or y-axis, rotations, translations, and dilations) on two-dimensional geometric shapes in the coordinate plane.
Game: Tessallations
Interactive: Tessallate

SPI 3108.4.2

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).
Interactive: Locus
Interactive Lesson: Locus
Game: Geometry Review Bingo
Game: GeoCaching Review Game

SPI 3108.4.5

SPI 3108.4.5 Describe solids and/or surfaces in three-dimensional space when given two-dimensional representations for the surfaces of three-dimensional objects.
Video: Nets
Interactive: Platonic Solids and Euler's Formula

SPI 3108.4.9

SPI 3108.4.9 Use right triangle trigonometry and cross-sections to solve problems involving surface areas and/or volumes of solids.
Interactive Lesson: Surface Area and Volume
Interactive: Surface Area and Volume
Interactive Lessons: Surface Area and Volume (Multiple Activities)

SPI 3108.4.10

SPI 3108.4.10 Identify, describe, and/or apply transformations on two and three dimensional geometric shapes.
Interactive Applet: Transformations
Interactive: Dilation
Interactive: Reflection
Interactive: Rotation
Interactive: Translation

SPI 3108.4.12

SPI 3108.4.12 Solve problems involving congruence, similarity, proportional reasoning and/or scale factor of two similar figures or solids.
Examples: Dimensional Analysis Problems
Video Lessons: Volume
Video: Dimensional Analysis (scroll down)

SPI 3108.4.14

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).
Interactive: Altitude of a Right Triangle
Interactive: Special Triangle Segments

SPI 3108.4.15

SPI 3108.4.15 Determine and use the appropriate trigonometric ratio for a right triangle to solve a contextual problem.
Interactive Applet: Trig Ratios
Quiz Applet: Trig Countdown
Interactive Lesson: Triangles and Waves

Apps