UNIT PLAN Grade Level: 5 Unit #: 11 Unit Name Geometry Polygons Time: 15 lessons, 18 days Big Idea/Theme: Polygons can be identified, classified, and described. Culminating Assessment: (requirements of assessment are based on time and student need. For example, fewer examples of items 1 quadrilateral instead of 3. Instead of find, draw. ) Create a polygon scrapbook that contains the following: Identification of congruent shapes. Classification of polygons according to number of sides and angle size. Recognition of multiple transformations. Identification of rotational and line symmetry. (See attachment Polygon Scrapbook. ) Unit Understanding(s) Students will understand that Polygons can be classified and described by the number of their sides. Quadrilaterals can be created, explained, classified, and identified, based upon their properties. Congruent shapes have the exact same shape and size. Corresponding parts can be located in congruent shapes. There are three types of transformations (Translation, reflection, and rotation). Transformations can be clockwise or counter-clockwise. Shapes can have multiple transformations, placing an emphasis on the last transformation. Shapes can be turned a quarter, half, or full turn (90,180, or 360). Unit Essential Question(s): How are polygons classified? How can we name quadrilaterals specifically? What characteristics identify a congruent pair? How can transformations be classified? What strategy can you use to identify multiple transformations? How can you determine if a shape has line symmetry, rotational symmetry, or no symmetry at all? How are shapes classified? How do shapes show rotational symmetry? How can shapes have multiple transformations?
Shapes can be classified as line symmetry, rotational symmetry, or no symmetry. A shape that rotates onto itself before turning 360 degrees has rotational symmetry. Students will know / Students will be able to Sort polygons in a variety of ways. Compare polygons using geometric attributes. Describe relationships among different quadrilaterals. Classify triangles by their geometric attributes. Determine the sum of the angles of a triangle. Identify angles using geometric attributes. Measure a variety of angles. Develop the properties of circles. Make conjectures about the sum of the angles of polygons. Analyze data about angles represented in a table. Investigate area and perimeter using manipulatives. Make and test conjectures about area and perimeter. Examine translations, reflections and rotations. Demonstrate transformations using a grid. Use words like congruency and position when describing transformations. Identify line symmetry and figures with and without line symmetry. Identify figures with rotational symmetry. Identify sets of shapes with and without similarity. Name coordinates on a grid. Locates points on a coordinate grid. Analyze figures positioned on a coordinate grid. Identify the properties of quadrilaterals. Identify and compare examples and non-examples of different types of quadrilaterals. Use and measure angles, side lengths and perimeters of congruent shapes. Create a one-to-one mapping between congruent parts. Identify congruent shapes that have the same shape and size. Identify transformations rotation, reflection, translation. Identify horizontal and vertical axes. Identify clockwise and counterclockwise movement. Perform a series of movements involving multiple transformations. Use and explain ½ turns.
Use and explain ¼ turns and full turns. Identify shapes that have line symmetry. Identify shapes that have rotational symmetry. Identify shapes with no line of symmetry. Explain how all regular polygons have rotational symmetry. Show how a shape can rotate onto itself before turning 360 degrees has rotational symmetry. Standards Vocabulary: Acute angle Clockwise Congruent Counterclockwise Horizontal axis Line symmetry Obtuse angle Perimeter Properties Quadrilaterals Reflection Right angle Rotation Rotational symmetry Transformation Translation Vertical axis MOOTB Vocabulary: Analyze Angle Area Attribute Circle Conjecture Diameter Edge Equiangular Equilateral Face Geometry Heptagon Hexagon Isosceles Octagon Net Parallel lines Parallelogram Pentagon Polygon Radius Ray Rectangle Rhombus Scalene Similarity Square Straight angle Tessellation Trapezoid Triangle Two dimensional
Verify vertex South Carolina Academic Standards: 5-4.1 Apply the relationships of quadrilaterals to make logical arguments about their properties. 5-4.2 Compare the angles, side lengths, and perimeters of congruent shapes. 5-4.3 Classify shapes as congruent. 5-4.5 Predict the results of multiple transformations on a geometric shape when combinations of translation, reflection, and rotation are used. 5-4.6 Analyze shapes to determine line symmetry and/or rotational symmetry. 5-1.1 Analyze information to solve increasingly more sophisticated problems. 5-1.2 Construct arguments that lead to conclusions about general mathematical properties and relationships. 5-1.3 Explain and justify answers based on mathematical properties, structures, and relationships. 5-1.5 Use correct, clear, and complete oral and written mathematical language to pose questions, communicate ideas, and extend problem situations. 5-1.6 Generalize connections between new mathematical ideas and related concepts and subjects that have been previously considered. 5-1.7 Use flexibility in mathematical representations. 5-1.8 Recognize the limitations of various forms of mathematical representations. Interim Assessment (formative) Exit Slips Graphic Organizers Individual and Group Activities and Work Journals Quizzes Section Tests Activotes White boards Checklists Rubrics Movement-Stand up if, sit down if, etc. Key Criteria (to meet the standard/rubric) See attached sheet Polygon Scrapbook Materials MOOTB Conjectures and Transformations Lessons 6-20
Geometry Scrapbook You are going to design a geometry scrapbook. You will see some outstanding samples that have been collected over the years. Students enjoy this project because they get an opportunity to be very creative. There are several parts to your scrapbook which are explained below. Each of the objects requested should be found in a magazine, newspaper, or photo. This project should force you to find geometry in the world around us. Cover: Create a geometric design by construction, geometric collage, or computer graphics. Page 1: Find a triangle. Label each angle. Measure and record the length of each of its sides and the measure of each angle. Classify your triangle. Page 2: Find a rectangle. Measure and record each of its side lengths. Find the area and perimeter of the rectangle. Show how to use the Pythagorean Theorem to find the length of its diagonal. Page 3: Find a set of parallel lines that are functional, not necessarily aesthetic. Tell why you think it is crucial that these lines be parallel. Page 4: Find two objects that are congruent. Tell why it is important that these objects be congruent. Page 5: Find at least symmetric logos. Describe (in detail) the symmetry of each one. Page 6: Collection of solids find an example of a cone, sphere, cylinder, prism, and pyramid. Identify each one. Page 7: Find an example of a transformation a reflection, a rotation, or a translation. Page 8: Find an example of a tesselation. Page 9: Find a picture that involves something that we have studied in geometry. Describe how it relates to geometry.