Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
Curated OER
Symmetries of Rectangles
Learners explore mapping a rectangle onto itself using rigid motion concepts, geometric intuition and experimenting with manipulatives in a collaborative task.
Curated OER
Symmetries of a Quadrilateral II
Learners investigate the symmetries of a convex quadrilateral in a collaborative activity. Rigid motion and complements are explored as learners analyze different cases of reflections across a line.
Curated OER
Symmetries of a Quadrilateral I
Learners examine the properties of quadrilaterals from the point of view of rigid motion. Different types of quadrilaterals are characterized by their symmetries, so learners explore the symmetries of a described quadrilateral to...
Curated OER
Seven Circles II
Your learners find as many rigid motions of the plane as they can that are symmetries of the configuration of circles. Rigid transformations of the plane are explored and become more concrete to them as they visualize and execute these...
Curated OER
Reflections and Equilateral Triangles II
Given the lines of symmetry in an equilateral triangle, your learners find where the pre-image vertices are mapped onto the new image. They explore the properties of equilateral triangles, the impact of reflections, and the idea that the...
Curated OER
Reflections and Equilateral Triangles
Your learners collaboratively find the lines of symmetry in an equilateral triangle using rigid transformations and symmetry. Through congruence proofs they show that they understand congruence in terms of rigid motions as they prove...
Curated OER
Unit Squares and Triangles
This is an interesting geometry problem. Given the figure, find the area of a triangle that is created by the intersecting lines. The solution requires one to use what he/she knows about coordinate geometry, as well as triangle and angle...
Kuta Software
Reflections of Shapes
For this reflection of shapes worksheet, learners graph images on a coordinate plane. They reflect the image and sketch it on the graph. They write a rule to describe the transformation. This four-page worksheet contains 14 problems....
Curated OER
Conics in Geometry
High schoolers analyze characteristics and properties of two and three-dimensional shapes in this geometry activity. They follow detailed directions to use the Cabri Geometry II Application on their TI-89 calculator to construct a...
Curated OER
What's the Spin?
Learners use the CABRI application for their graphing calculator to rotate, translate, and reflect triangles. They use graphing calculators and follow detailed directions to manipulate triangles in specified ways. There are three...
Curated OER
Using Symmetry to Find the Vertex of a Parabola
Learners engage in a lesson that is about finding the vertex of a parabola while using symmetry. They use the symmetry to find out where the two lines meet. The line is displayed with the help of a graphing calculator. The lesson...