5th Grade AIMS - Geometry

  Students use geometric methods, properties and relationships as a means to recognize, draw, describe, connect and analyze shapes and representations in the physical world.
Students know and are able to do the following:
NOTE: All levels are built upon previous levels.

**Visualize and draw two- and three-dimensional geometric figures with special attention to analyzing and reasoning  informally about their properties (e.g., parallelism, perpendicularity and congruence). (M4-E1)

          PO 1. classify two dimensional shapes and three-dimensional figures by their properties (by sight)

Activity 1.  Introduce basic shapes using the MegaShapes Shape Book on the Web

Activity 2.  Read The Greedy Triangle by Marilyn Burns.  Create your own geometrical story using a Publisher template.   Your story should include the following shapes: rectangles, squares, triangles, parallelograms, pentagons, circles, hexagons, semi-circles, octagons.  Use the Publisher Bound Book template.

Activity 3. Create a dictionary of geometric terms using a PowerPoint template.  Terms to use:  Angle or area or acute triangle, base, circle or cone, diameter, equilateral triangle, flip, hexagon, isosceles triangle, line or line segment, octagon or obtuse triangle, parallel or parallelogram or perpendicular or pentagon, quadrilateral, rhombus or ray or right triangle or rectangle, scalene triangle or square or sphere or symmetry, trapezoid or triangle, volume (Click here for templates)   Use the Visual Dictionary in the ASP to find definitions and to gather images.  Then rewrite the definitions in your own words.  

Activity 4. Practice the identification of shapes by visiting Shape Cave on the Web. 

Activity 5. Walk around the school and identify the geometric figures on the Geometric Shapes worksheet.  Click here for the worksheet.

Activity 6.  Visit the Polyhedra Gallery for an introduction to Geometric Solids.

Activity 7. Click here for the Exploring Geometric Solids and Their Properties Web site and follow the directions on the page.

Activity 8. Explore various geometric solids and print the template that will allow students to build their own 3-dimensional shapes.  Click here to go to the Enchanted Learning Web site.

          PO 2. identify the properties of geometric figures using appropriate terminology and vocabulary (e.g., parallelism, perpendicularity and congruency), for two-dimensional shapes (three- and four-sided polygons)

Activity 1.  Visit the Web site Cool Math 4 Kids for a definition of Congruent.

Activity 2.  Click here for a definition of Parallel.

Activity 3. Click here for a definition of Perpendicular.

Activity 4.  Using the geoboard, create the following :
        2 congruent triangles
        A polygon with 2 parallel sides
        A polygon where two sides are perpendicular
        (Click here to use the geoboard)

PO 3. draw or build two-dimensional shapes by applying significant properties of each (e.g., any polygon, with a specified condition)

Activity 1. Use a geoboard and construct the following shapes; a 3 - sided figure, a four- sided figure, a 5-sided figure, a 6-sided figure, a 7-sided figure, an 8-sided figure, a 9-sided figure and a 10-sided figure.  Click here to use the geoboard.

**Apply geometric properties and relationships such as congruence, similarity, angle measure, parallelism and perpendicularity to real-world situations. (M4-E2)

          PO 1. design or draw a model (e.g., designing a playhouse, garden) that demonstrates basic geometric relationships, such as parallelism, perpendicularity and similarity

PO 2. classify triangles by their angles and sides (e.g., scalene, obtuse, isosceles)

Activity 1. Use the triangles and angles worksheet to review the different types of angles and triangles.  Click here to view the worksheet.

PO 5. identify lines that are parallel and perpendicular

Activity 1. Using the worksheets, walk around the school and list various things that are viewed that demonstrate the concepts of perpendicular and parallel.  Click here for the parallel line worksheet.  Click here for the perpendicular lines worksheet.

PO 6. distinguish shapes that are congruent

Activity 1. Using the worksheet, walk around the school and list various things that are viewed that demonstrate the concept of congruent.  Click here for the worksheet.

Activity 2.  Using the geoboard, practice creating congruent shapes.   Click here to use the geoboard.  

** Perform elementary transformations (e.g., tessellations, flips, slides, rotations). (M4-E3)

          PO 1. demonstrate slide, flip or turn using concrete geometric figures

Activity 1.  Share the MegaSites|Transformations page from the Internet  to demonstrate the terms rotate, rotation, tesselations

Activity 2.  Practice creating tessellations using the Tesselation Town on Tile Island Web site 

        PO 2. illustrate, using concrete or pictorial models - slide, flip or turn (e.g., quilts)

Activity 1.  Using the tangram applet in the Illuminations Web site, have students practice sliding, rotating and turning the pieces.  

        PO 3. draw or build a shape that has symmetry

  Activity 1.  Introduce symmetry to the class using the Web site MegaShapes|Symmetry

Activity 2. Complete the Shapes and Symmetry template. (Click here for templates)

Activity 3. Using a geoboard, construct various shapes and divide them so they demonstrate symmetry.   Click here to use the geoboard.

**Represent and solve problems relating to size, shape, area and volume using geometric models. (M4-E4)

          PO 1. solve problems using given formulas for simple area and perimeter

Activity 1. Introduce how to find the area and perimeter of a square and rectangle.  Use the Web site Geometry Surveyor to practice finding area and perimeter.  
 
          PO 2. identify a variety of shapes having the same perimeter and area

Activity 1. Practice on the geoboard.  Click here to use the geoboard.

Make 2 polygons with the same perimeter.

Make 2 rectangles with the same area.