<p>During this lesson, students will examine the various forms of quadrilaterals, emphasizing their similarities and differences. Students are going to:&nbsp;<br>- Name and explain the characteristics of quadrilaterals.&nbsp;<br>- Classify&nbsp;quadrilaterals into smaller groups according to their properties, such as trapezoids, squares, rhombi, parallelograms, and rectangles.</p>

<p>- In mathematical contexts, how can relationships be described using patterns?&nbsp;<br>- How can identifying regularity or repetition help with problem-solving efficiency?&nbsp;<br>- In what ways can the characteristics of geometric shapes be applied to aid in mathematical reasoning and problem-solving?&nbsp;<br>- How can situations be modeled, described, and examined using geometric properties and theorems?&nbsp;<br>- How can one create, build, model, and depict real-world scenarios or solve problems using spatial relationships, such as shape and dimension?</p>

<p>- Pentagon: A polygon with exactly five sides.&nbsp;<br>- Polygon: A closed plane figure bounded by three or more line segments that only meet at their endpoints.&nbsp;<br>- Quadrilateral: A polygon with exactly four sides.&nbsp;<br>- Rhombus: A quadrilateral with sides of equal length.</p>

<p>- Geoboards and rubber bands&nbsp;<br>(a virtual geoboard can be found at <a href="http://www.mathplayground.com/geoboard.html">http://www.mathplayground.com/geoboard.</a>html)&nbsp;<br>- One copy of the Classifying Quadrilaterals practice worksheet (M-3-4-2_Classifying Quadrilaterals and KEY) per student&nbsp;<br>- One copy of the Terms and Definitions worksheet (M-3-4-2_Terms and Definitions and KEY) per student&nbsp;<br>- One copy of the Lesson 2 Exit Ticket (M-3-4-2_Lesson 2 Exit Ticket and KEY) per student</p>

<p>- Assess students' understanding of subdividing quadrilaterals into groups according to attributes using the Classifying Quadrilaterals practice worksheet (M-3-4-2_Classifying Quadrilaterals and KEY).<br>- Assess student understanding of lesson vocabulary using the Terms and Definitions worksheet (M-3-4-2_Terms and Definitions and KEY).<br>- The ability of students to classify quadrilaterals using attributes can be rapidly assessed using the Lesson 2 Exit Ticket (M-3-4-2_Lesson 2 Exit Ticket and KEY).</p>

<p>Explicit instruction, modeling, scaffolding, and active engagement<br>W: Students will be able to recognize the characteristics of quadrilateral subcategories, such as trapezoids, squares, rhombi, parallelograms, and rectangles. Additionally, students will discover that shapes belonging to different subcategories can share characteristics, such as the fact that squares and rhombi have four equal sides.&nbsp;<br>H: Engage students by letting them design their own polygons using geoboards. Next, group some of the polygons that the students made. Ask students to identify the group that their shapes fit into.&nbsp;<br>E: Students will investigate the characteristics of quadrilateral subcategories, such as parallelograms, rectangles, rhombi, squares, and trapezoids, using geoboards. Based on characteristics, students will write informal definitions for each subcategory. Students will learn that common characteristics, like the fact that all squares are both rectangles and rhombuses, can define a broader category.&nbsp;<br>R: The class will go over all of the terms from the lesson using the practice worksheet on classifying quadrilaterals. This gives students the chance to clarify and improve any concepts they don't fully understand.&nbsp;<br>E: To assess students, they will use their results from the practice worksheet on classifying quadrilaterals. Lesson 2 Exit Ticket will also be used for student evaluation.&nbsp;<br>T: You can use the ideas in the Extension section to modify the lesson so that it fits the needs of your students. Throughout the academic year, there are ideas for reviewing lesson concepts in the Routine section. Students who require extra assistance in order to learn how to identify quadrilateral subcategories can find specific suggestions in the Small Group section. For students who are ready to go beyond the standards requirements, the Expansion section offers more challenges.&nbsp;<br>O: Students analyze examples and nonexamples of quadrilateral subcategories using geoboards in this lesson. Students define particular subcategories as a result, such as trapezoids, squares, rhombi, rectangles, and parallelograms. Following their experiences, the students group quadrilaterals into subcategories, realizing that some quadrilaterals may fit into more than one subcategory.</p>