Teaching proofs can sometimes be a challenge, but CanFigureIt Geometry has found a way to make it fun and engaging. Teachers can choose specific topics to assign to students that match what's being covered in class or as a refresher of concepts that support what's being taught. Students can also access over 460 different geometry proofs on their own to practice many different skills. The algebra manipulator is particularly great for building critical thinking skills and allowing students to "play around" with proofs on their own -- often discovering along the way the many paths they have to arrive at a solution.
At the time of this review, there's a somewhat cumbersome issue for teachers: To add students or assign activities to students from the teacher dashboard, a request must be sent to the developers directly, and they will add them. However, they stated that functions allowing teachers to do it directly were "under construction" and they were hoping to have them added soon.Continue reading Show less
CanFigureIt Geometry is a platform for students to work through geometric proofs using guided instructions or on their own. Students can work forward from the provided information (called "Gifts") or backward from the goal in a step-by-step method. CanFigureIt gives students a number of different options, from typing in choices to clicking on the image provided to selecting from various preset theorems available to them. Handy hints are provided when a student gets stuck, and a great full-screen pop-up congratulates students when they arrive at the final proof.
CanFigureIt covers a lot of different types of geometric proofs -- from proving facts about lines to more complicated proofs on triangles, quadrilaterals, and circles. There's even an algebra manipulator to solve for specific values. It's a powerful tool that allows students to explore how to do a proof on their own, rather than watching the step-by-step instructions. A teacher dashboard lets teachers see student progress and assign supporting proofs as needed.
CanFigureIt Geometry's interface is well-designed and easy to navigate (especially in the recommended full-screen mode). Students have choices on how to access the proofs, and they can take a step back to earlier, supporting proofs as well to help them with the harder levels. The dashboard allows teachers to easily check in on their students and see if there are places where they're getting stuck or could use a bit more guidance in the classroom -- and assign supporting proofs to students as needed to make the ideas a bit clearer.
CanFigureIt can be a bit overwhelming at times, especially when students are starting out. Trying to navigate the number of choices and theorems provided -- and how to effectively use them for the current proof -- can be a bit confusing, and the hints provided can occasionally cause more confusion than help. But using the provided tutorial videos and having a bit of background provided by the teacher before using the tool can be highly effective. Overall CanFigureIt Geometry allows students to flex their mental muscles and really explore proofs in a new and exciting way.
Key Standards Supported
Prove that all circles are similar.
Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
(+) Construct a tangent line from a point outside a given circle to the circle.
Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.
Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.
Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.
Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
Explain a proof of the Pythagorean Theorem and its converse.
Similarity, Right Triangles, And Trigonometry
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.
Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.
Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
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