Position and Direction - Reflection with Co-Ordinates - Presentation

In a comprehensive lesson about reflection with coordinates, students are encouraged to deepen their understanding of how shapes are reflected on a grid. The lesson starts by posing a thought-provoking question about what changes and what remains the same when an object is reflected. Students are then guided through a series of activities where they write down the coordinates of the vertices for various shapes before and after reflection. By comparing the original coordinates with the reflected coordinates, students observe the changes that occur during reflection. This hands-on approach not only reinforces the concept of reflection but also supports the development of spatial reasoning and mathematical understanding.

As the lesson progresses, students are challenged with reasoning tasks where they must verify the accuracy of reflected coordinates and explore the possibility of multiple original positions for a given reflected shape. They learn to identify errors in reflection and correct them, as in the case of Tia's reflection exercise, where they must discern the correct coordinates for a reflected shape. The lesson culminates in independent work, where students apply their knowledge to write coordinates for reflected shapes and draw original shapes based on given reflections, further solidifying their grasp of the relationship between coordinates and their reflections. Through discussion and exploration, students also consider alternative methods for determining the coordinates of reflected vertices, moving beyond the use of a mirror to more abstract strategies.