A triangle rests in quadrant two, from which your class members must draw reflections, both over x=2 and x=-2. This focused exercise strengthens students' skills when it comes to reflection on the coordinate plane.

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...

Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...

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...

Get to you know your new class members with an ice breaker activity that uses their name and creativity. Scholars write their first name in cursive on a folded sheet of paper, cut around the curved lines, open the paper to view its new...

Geometers explore symmetries of isosceles triangles by using rigid transformations of the plane. They complete four tasks, including congruence proofs, which illustrate the relationship between congruence and rigid transformations. The...

The task at hand is to partition a hexagon into two, four, and eight congruent figures. Make sure to give your wizards a sheet of triangle grid paper on which to decompose the hexagons. Have them explain which rotations, reflections, or...

Your geometry learners are guided by questions that help them use the language of reflections to explain the Side-Angle-Side congruence between two triangles in this collaborative task. Given a sample solution, declaring the...

Geometers prove that triangle PQR is congruent to triangle ABC by describing any combination of rotations, reflections, and translations that would prove it so. There is only this single task on the handout, but a detailed explanation of...

This is an excellent resource for introducing and exploring the topic of child soldiers. Ethics, history, or theology classes will benefit from the high-quality information. This includes detailed instructions for an introductory...

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.

A "Three Good Things" routine asks participants to sit quietly and reflect on three positive things in their world: family, school, community, or the world at large. After journaling about one that feels most important right now, writers...

The lesson allows young scientists to use lasers and mirrors to study reflected light. A reading passage and homework question assess learning, while additional material introduces extension activities. 

While it may seem incredibly obvious to the geometry student that congruent sides make congruent triangles, the proving of this by definition actually takes a bit of work. This exercise steps the class through this kind of proof by...

Life is only a reflection of what we allow ourselves to see. The lesson includes three experiments on light reflection, light refraction, projection, lenses, and optical systems. Each experiment builds off the ones before and...

I bet I can cross the room without having the lights come on. Class members set up an experiment in which they try to determine what materials will mask motion detected by a sensor. Groups predict how materials will interact with...

Model real-life structures with mathematics. A project-based lesson presents a problem situation requiring classes to develop a function to model the St. Louis Arch and the Rainbow Bridge in Arizona. They create their models by...

Bank on geometry to line up the shot. The resource asks the class to determine the location to bank a cue ball in a game of billiards. Using their knowledge, class members determine where to hit the bumper to make a shot and discuss...

Which is the best reflection of them all? Given four diagrams, pupils determine which one shows the most accurate reflection of a quadrilateral. Two images provide the distances of each vertex from the line of reflection, as well as the...

How does the color of the sky change from blue to reds and oranges to black? An illuminating lesson explains how light travels through different mediums using the sun's light as an example. By examining diagrams and illustrations, pupils...

Four activities conclude a unit through discussion and activities inspired by reflection. Scholars revisit their storybook from the first unit. Self-portraits showcase thought bubbles with written statements. Groups write and perform a...

Maintain or modify? That's the question scholars answer as they reflect on their focus and engagement in that day's lesson. Were learners focused and contributing, or do they need to modify their level of participation?

Everyone wants to feel heard and valued. Provide learners with an opportunity to share their thoughts and have them heard with this closing routine. Participants use an exit card to share their response to prompts that ask them to share...

The future can be yours to see with a bit of planning. That's the takeaway from a routine that asks participants to first brainstorm a list of personal and academic goals. Individuals then select one to focus on for the week, identify...