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This Warm-up prompts students to generate formal and informal geometric language (lines, points, straight, curved), which will be used in an upcoming task, by familiarizing themselves with a context and the mathematics that might be involved in the task.
When students articulate what they notice and wonder, they have an opportunity to attend to precision in the language they use to describe what they see (MP6). They might first propose less formal, or imprecise, language, and then restate their observation with more precise terminology in order to communicate more clearly.
What do you notice? What do you wonder?
Do You See What I See Cards
The purpose of this activity is to motivate a need for more precise geometric language. Students work with a partner to replicate given geometric images—one partner describes the images and the other draws them, solely based on the verbal descriptions from their partner. Students do this over several rounds, switching roles after two rounds. As students attempt to produce more accurate drawings, they try to fine-tune their descriptions. They notice that more specific language or terminology is needed to better describe the features in the images (MP6).
As students are working, listen for and collect the terms or descriptions that come up often or that effectively help the partner who is drawing replicate the image (for example: horizontal, vertical, point, lines, segment, top, bottom, and so on).
This activity uses MLR2 Collect and Display. Advances: conversing, reading, writing.
MLR2 Collect and Display
Work with a partner. Sit back to back, or use a divider to keep one partner from seeing the other partner’s work.
Partner A:
Partner B:
Compare the given image and the drawing. Discuss:
How are the given image and the drawing alike? How are they different?
How would you improve the descriptions?
Display the chart of terms and these images to facilitate discussion. Annotate them to support students with mathematical terms.
The purpose of this activity is to enable students to notice segments as parts of lines and motivate a need for a term to describe them.
Students are asked to draw multiple lines and to notice shapes that intersecting lines might have created. As they look for familiar shapes or figures in their drawing—polygons, letters, or numbers—their attention shifts from the lines to portions of the lines that make up those figures. Certain sections of the lines now have new significance apart from the lines that contain them. The observations here prepare students to better understand the mathematical definition of line segments.
The Activity Synthesis introduces the term line segment informally. In the next lesson, the meaning of the term, as well as of the meanings of “line” and “point,” will be formalized.
Here is a field of dots.
Do your lines make familiar shapes or figures—perhaps a triangle, a quadrilateral, a letter, or a number?
Identify at least one familiar shape or figure in your drawing. Trace the shape with a heavier mark or use a colored pencil.
Share your drawing with your group. Discuss:
“Today we described some drawings and created some drawings based on descriptions. We noticed how points, lines, and segments are present in the drawings, and that those terms were handy for describing what we were seeing.”
“Let’s look at Image 2 of Set 1 from the first activity.”
Draw a quick sketch of this image to annotate during discussion.
"Let’s imagine that the lines that reach the edge of the card actually go on if the card was larger.”
Annotate the sketch to demonstrate extended lines.
“How many lines do you see?” (four)
Label each line as students identify.
“Where do you see points in this drawing?” (Students likely will identify vertices of the triangle and also places where lines intersect.)
As students identify points, add each to the sketch for reference.
“Which points were most helpful when describing the drawing to a partner?” (the points where the lines cross one another, or the points where the lines cross the edges of the card)
“Where are the line segments in this image?” (any part of a line with a starting point and an ending point)
“How many segments do you see in this drawing?” (Students likely will say 8, but there are more, including pieces that go from one edge of the card to another edge.)