Shared Gizmo List: Geometry Honors List

List for Geometry Honors, Hillsborough County, FL.
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Shared by a high school math teacher in Florida.

Chapter 1 and 2

Constructing Congruent Segments and Angles Construct congruent segments and angles using a straightedge and compass. Use step-by-step explanations and feedback to develop understanding of the construction.
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Area of Parallelograms Examine and manipulate a parallelogram and find its area. Explore the relationship between the area of a parallelogram and the area of a rectangle using an animation.
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Area of Triangles Use a dynamic triangle to explore the area of a triangle. With the help of an animation, see that any triangle is always half of a parallelogram (with the same base and height). Likewise, a similar animation shows the connection between parallelograms and rectangles.
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Circumference and Area of Circles Resize a circle and compare its radius, circumference, and area.
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Chapter 3

Parallel, Intersecting, and Skew Lines Explore the properties of intersecting, parallel, and skew lines as well as lines in the plane. Rotate the plane and lines in three-dimensional space to ensure a full understanding of these objects.
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Constructing Parallel and Perpendicular Lines Construct parallel and perpendicular lines using a straightedge and compass. Use step-by-step explanations and feedback to develop understanding of the construction.
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Chapter 4

Classifying Triangles Place constraints on a triangle and determine what classifications must apply to the triangle.
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Triangle Angle Sum Measure the interior angles of a triangle and find the sum. Examine whether that sum is the same for all triangles. Also, discover how the measure of an exterior angle relates to the interior angle measures.
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Proving Triangles Congruent Apply constraints to two triangles. Then drag the vertices of the triangles around and determine which constraints guarantee congruence.
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Congruence in Right Triangles Apply constraints to two right triangles. Then drag their vertices around under those conditions. Determine under what conditions the triangles are guaranteed to be congruent.
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Isosceles and Equilateral Triangles Investigate the graph of a triangle under constraints. Determine which constraints guarantee isosceles or equilateral triangles.
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Reflections Reshape and resize a figure and examine how its reflection changes in response. Move the line of reflection and explore how the reflection is translated.
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Rotations, Reflections, and Translations Rotate, reflect, and translate a figure in the plane. Compare the translated figure to the original figure.
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Chapter 5

Concurrent Lines, Medians, and Altitudes Explore the relationships between perpendicular bisectors, the circumscribed circle, angle bisectors, the inscribed circle, altitudes, and medians using a triangle that can be resized and reshaped.
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Segment and Angle Bisectors Explore the special properties of a point that lies on the perpendicular bisector of a segment, and of a point that lies on an angle bisector. Manipulate the point, the segment, and the angle to see that these properties are always true.
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Triangle Inequalities Discover the inequalities related to the side lengths and angle measures of a triangle. Reshape and resize the triangle to confirm that these properties are true for all triangles.
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Chapter 6

Classifying Quadrilaterals Apply constraints to a quadrilateral, and then reshape and resize it. Classify the figure by its constraints. Explore the differences between the different kinds of quadrilaterals.
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Special Parallelograms Apply constraints to a parallelogram and experiment with the resulting figure. What type of shape can you be sure that you have under each condition?
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Parallelogram Conditions Apply constraints to a dynamic quadrilateral. Then drag its vertices around. Determine which constraints guarantee that the quadrilateral is always a parallelogram.
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Inscribed Angles Resize angles inscribed in a circle. Investigate the relationship between inscribed angles and the arcs they intercept.
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Chapter 7

Similar Figures Vary the scale factor and rotation of an image and compare it to the preimage. Determine how the angle measures and side lengths of the two figures are related.
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Perimeters and Areas of Similar Figures Manipulate two similar figures and vary the scale factor to see what changes are possible under similarity. Explore how the perimeters and areas of two similar figures compare.
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Chapter 8

Similarity in Right Triangles Divide a right triangle at the altitude to the hypotenuse to get two similar right triangles. Explore the relationship between the two triangles.
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Distance Formula Explore the distance formula as an application of the Pythagorean theorem. Learn to see any two points as the endpoints of the hypotenuse of a right triangle. Drag those points and examine changes to the triangle and the distance calculation.
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Pythagorean Theorem with a Geoboard Build right triangles in an interactive geoboard and build squares on the sides of the triangles to discover the Pythagorean Theorem.
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Pythagorean Theorem Explore the Pythagorean Theorem using a dynamic right triangle. Examine a visual, geometric application of the Pythagorean Theorem, using the areas of squares on the sides of the triangle.
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Sine, Cosine, and Tangent Ratios Reshape and resize a right triangle and examine how the sine of angle A, the cosine of angle A, and the tangent of angle A change.
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Chapter 10

Circles Compare the graph of a circle with its equation. Vary the terms in the equation and explore how the circle is translated and scaled in response.
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Chords and Arcs Explore the relationship between a central angle and the arcs it intercepts. Also explore the relationship between chords and their distance from the circle's center.
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Inscribed Angles Resize angles inscribed in a circle. Investigate the relationship between inscribed angles and the arcs they intercept.
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Chapter 11

Geometric Probability Randomly throw darts at a target and see what percent are "hits." Vary the size of the target and repeat the experiment. Study the relationship between the area of the target and the percent of darts that strike it
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Perimeters and Areas of Similar Figures Manipulate two similar figures and vary the scale factor to see what changes are possible under similarity. Explore how the perimeters and areas of two similar figures compare.
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Area of Parallelograms Examine and manipulate a parallelogram and find its area. Explore the relationship between the area of a parallelogram and the area of a rectangle using an animation.
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Chapter 12

Prisms and Cylinders Vary the height and base-edge or radius length of a prism or cylinder and examine how its three-dimensional representation changes. Determine the area of the base and the volume of the solid. Compare the volume of an oblique prism or cylinder to the volume of a right prism or cylinder.
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Surface and Lateral Areas of Prisms and Cylinders Vary the dimensions of a prism or cylinder and investigate how the surface area changes. Use the dynamic net of the solid to compute the lateral area and the surface area of the solid.
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Surface and Lateral Areas of Pyramids and Cones Vary the dimensions of a pyramid or cone and investigate how the surface area changes. Use the dynamic net of the solid to compute the lateral area and the surface area of the solid.
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Pyramids and Cones Vary the height and base-edge or radius length of a pyramid or cone and examine how its three-dimensional representation changes. Determine the area of the base and the volume of the solid. Compare the volume of a skew pyramid or cone to the volume of a right pyramid or cone.
  5 Minute Preview   Lesson Info