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Regents High School Examination GEOMETRY 2009
The University of New York Regents High School Exam for geometry from August 2009 is comprehensive in scope with 38 questions over 22 pages. Geometers can assess their mastery of core content with a combination of multiple choice and...
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Spiral Symmetry
Taking the notion of symmetry to the next level, this looks at combining rotation and translation symmetry to build spiral symmetry in three dimensions. Using the Zome modeling system and an instructor’s guidance, geometers try to build...
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A Fibonacci Primer
Upper graders explore the Fibonacci sequence. They examine the characteristics of the Fibonacci sequence, list the properties of the sequence and determine how it connects to Pythagorean Triples. Related thinking questions are included.
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Polynominoes
In this polynominoes worksheet, students solve 9 different types of polynominoes problems. First, they identify that a polynominoe is a polygon made from squares of the same size and connected to each square. Then, students determine how...
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Gradients of Parallel Line Segments
For this gradient worksheet, students draw line segments and determine if they are parallel. They plot points on a coordinate plane and calculate the gradient of each created line. This five-page worksheet contains 8 multi-step problems....
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Interactivate - Geometry in Tessellations
Students use an on-line worksheet to experiment with patterns of tessellations in regular polygons. As students observe different shapes in the "Tessellate" Activity they complete a data table and practice making predictions for...
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Foul Shots
In this secondary mathematics instructional activity, students determine a basketball player’s percent accuracy and the number of foul shots he must make in order to raise his average to 50%. The one page instructional activity...
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Cross Sections
Young visual learners explore different cross sections of 3-dimensional objects. First, cross sections of cubes are explored by using an interactive flash activity. This is then extended by looking at cross sections of spheres,...
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Tangrams
Students construct tangram pieces. Then they make observations and explore patterns with the pieces.
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Euclidean Direct Proofs
Learning how to prove theorems in geometry can be challenging. This resource explains what a proof is, and the different styles for proofs. It also contains links to web-based practice problems that help guide learners though example...
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Volume and Surface Area, A Sweet Activity
Geometry.... sweet! Using sugar cubes, learners build rectangular prisms of different sizes and shapes. They glue them together and assess volume. Then they color the outer sides to visualize and compute surface area. To make a visceral...
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Vertical Angles
With a clean, direct resource like this one, learners can easily focus on the task at hand, which is clearly communicated. They practice figuring the missing measures of vertical angles given the measure of their complement or...
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A Cone and Its Net
Create and investigate nets for solid shapes with your class. They identify the different parts and faces of each polygon and solid then calculate the surface area and volume of cones. They use circle sectors of varying sizes to build...
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Castles On The Ground (2D & 3D Shapes)
Explore the relationship between 2D and 3D shapes by having your class view representation of shapes and investigate their symmetry. They will create a solid object from diagrams and describe the reflection or rotational symmetry. In the...
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Splitting the Penstock
Students investigate the best way to calculate the measurements of an area. In this geometry lesson plan, students relate a large circle to a cylinder and its measurements. They use PVC pipes to gain hands on experience as they calculate...
Shodor Education Foundation
Volume of Prisms
Explore the concept of volume of prisms using an applet to perform the calculations. The link to the interactive applet is embedded into the lesson plan as well as a link to associated data sheets. Get your math class to the computer lab...
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Triangle Inequality Theorems Investigation
Students estimate and measure triangles. In this geometry lesson, students identify the relationship between three sides and a triangle. They use the inequality theorem to decide if a triangle will be formed or not.
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Connecting Formulas Related to Geometric Figures
Students identify diagrams of quadrilaterals and circles by different names and classify the figures. They name the areas for each diagram and practice solving the formulas for each.
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Volume of Cones
Students identify the volume of cones and pyramids. In this geometry instructional activity, students derive the formula for cones and pyramids. They calculate the volume of cones and other three dimensional shapes.
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Symmetry Using Polygons
Working on symmetry in your class? If so, this worksheet might be for you. Learners observe different triangles and quadrilaterals, determine which are symmetrical, draw in the lines of symmetry, and color the symmetrical shapes. In...
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Properties and Attributes of Polygons
In this geometry worksheet, 10th graders determine if a polygon is convex or concave and apply the polygon Angle sum theorem and the polygon exterior angle sum theorem to determine the measures of interior and exterior angles of a...
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Simplifying Radicals
In this geometry worksheet, 10th graders simplify radicals. The one page worksheet contains twelve problems. Answers are not included.
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Regents Exam Questions GG 10: Solids
In this solids worksheet, students identify true statements that match a given solid. They identify parallel lines. This two-page worksheet contains four problems. Answers are listed on the last page.
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Geometry Journal: Isosceles Triangles
In this isosceles triangles worksheet, students justify and determine the symmetry of an isosceles triangle. They explore the bisector of rectangles. This three-page worksheet contains two problems. Answers are listed on page three.