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The purpose of this Warm-up is to elicit the idea that placing a coordinate grid over a design can help identify points that are helpful for copying the design, which will be useful when students copy a figure using a coordinate grid in a later activity. While students may notice and wonder many things about this image, points in the design that could be located with an ordered pair are the important discussion points.
What do you notice? What do you wonder?
The purpose of this activity is for students to use what they’ve learned about coordinate grids to plan how they will make a copy of a figure. As students create the coordinate grid, they will have to make decisions that will affect how they copy their figure, such as creating their grid with centimeters or inches, the scale they will use on their grids, and which points they will use to copy their figure. Students will work with a partner to plan the copy of their images, but will make their own copy of the image in the next activity. This provides an opportunity for students to make different choices during planning and see how those choices impact their work in the next activity. When students consider assumptions about information not given in a situation, they model with mathematics (MP4).
Choose the figure that you will copy using a coordinate grid.
The purpose of this activity is for students to use the plan from the previous activity to make a copy of a figure. Students use the points they chose to copy the figure. In the Activity Synthesis, encourage students to describe what details were important for ensuring their figure was as close to the original as possible. Students may describe the points they chose (or didn’t choose) or they may discuss the effects of the scale they chose to create the coordinate grid. For example, if students use inches to draw the grid over the original figure, the copy they create will be larger because the squares on the grid paper are larger. If they choose to use inches to create the grid over the original figure, the copy will be smaller because the squares on the grid paper are smaller.
Create a coordinate grid on grid paper. Use the points you chose in the previous activity to copy your figure.
Invite previously selected students to share their copies and how their copies are the same and different from the original figure.
“Today we used coordinate grids to make a copy of a figure.”
“What choices did you make as you planned the copy of your figure? How did the changes affect the copy?” (I decided to use centimeters to make the grid over my figure. This made the copy and the original the same size. I chose to use decimals for my points so I could get the points to be as exact as possible, which made my copy look a lot like the original.)
Consider having students respond to the previous question as a journal prompt.