Building Polygons (Part 1)
5 min
Teacher Prep
Setup
Narrative
The purpose of this Warm-up is for students to orient themselves to images of quadrilaterals with the same side lengths, which will be useful when students build quadrilaterals with fixed side lengths in a later activity. While students may notice and wonder many things about these images, similarities and differences between the figures are the important discussion points.
This Warm-up prompts students to make sense of a problem before solving it by familiarizing themselves with a context and the mathematics that might be involved (MP1).
Launch
Student Task
What do you notice? What do you wonder?
Sample Response
- Both of the shapes are quadrilaterals.
- The shapes have side lengths with the same values, but in a different order.
- One shape looks taller and thinner at the top, and the other looks wider and flatter.
- Do the shapes have the same perimeter?
- Do the shapes have the same area?
- Are the angle measures different in each shape?
- Are the angle measures the same but in a different order?
Activity Synthesis (Teacher Notes)
Anticipated Misconceptions
Some students may try evaluating each side of each equation. Encourage them to look for patterns or shortcuts that would help them answer each question without doing all the calculations.
Standards
- 7.G.2·Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
- 7.G.A.2·Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
15 min
10 min
Knowledge Components
All skills for this lesson
No KCs tagged for this lesson
Building Polygons (Part 1)
5 min
Teacher Prep
Setup
Narrative
The purpose of this Warm-up is for students to orient themselves to images of quadrilaterals with the same side lengths, which will be useful when students build quadrilaterals with fixed side lengths in a later activity. While students may notice and wonder many things about these images, similarities and differences between the figures are the important discussion points.
This Warm-up prompts students to make sense of a problem before solving it by familiarizing themselves with a context and the mathematics that might be involved (MP1).
Launch
Student Task
What do you notice? What do you wonder?
Sample Response
- Both of the shapes are quadrilaterals.
- The shapes have side lengths with the same values, but in a different order.
- One shape looks taller and thinner at the top, and the other looks wider and flatter.
- Do the shapes have the same perimeter?
- Do the shapes have the same area?
- Are the angle measures different in each shape?
- Are the angle measures the same but in a different order?
Activity Synthesis (Teacher Notes)
Anticipated Misconceptions
Some students may try evaluating each side of each equation. Encourage them to look for patterns or shortcuts that would help them answer each question without doing all the calculations.
Standards
- 7.G.2·Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
- 7.G.A.2·Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.