|  
       | 
     
        Name: Pedro Merced 
        
        Title of lesson: Area of a triangle 
        
        Date of lesson: 
        
        Length of lesson: one class period  
        
        Description of the class: 
        
                             
        Name of course: 6th grade math 
        
                             
        Grade level: 6th grade math 
        
                             
        Honors or regular: 6th grade math 
        
        Source of the lesson:  Me 
        
                    
        Give specific information.  Pedro Merced 
        
        TEKS addressed:  §111.22. Mathematics, Grade 
        6. 
        
        Geometry 
          and spatial reasoning. 
          The student uses geometric vocabulary to describe angles, polygons, 
          and circles. 
        (A)  use 
          angle measurements to classify angles as acute, obtuse, or right; 
        (B)  identify 
          relationships involving angles in triangles 
        II.  Performance or learner outcomes 
          
        Students will be able to:          
        
         a)     
         Compute the area of a triangle given a base and height 
        
         b)     
        identify scalene, isosceles, and scalene triangles 
        
         c)     
         identify obtuse, acute and right triangles 
        
        III. Resources, materials and supplies needed 
        
                        
        PEGBOARD  
        
                        
        Rubber bands 
        
                        
        Handouts of a paper representation of the PEGBOARD 
        
        IV. Supplementary materials, handouts.             
         
        
         
         
        Five-E Organization 
        Teacher Does              
              Probing Questions            
                Student Does       
        
        
           
            | Engage:  
                     The students will be asked 
              to find different triangles around the room.  They will also 
              be asked to draw them on a given piece of paper. 
              The equation for the area of a triangle is on the board.  
              ½ BH  | 
             Where are triangles present 
              in our life?         | 
             Traffic signs, in math 
              class, trees, etc…  | 
           
         
        
           
            Explore: 
              The students 
                will be divided into groups of 2 students each.  Each group 
                will be given a PEGBOARD and will be asked to come up with 5 different 
                triangles.  These different triangles will be recorded on 
                the handouts with the representations of the PEGBOARD on them.  
                One stipulation on the triangles is that they all must have a 
                one side that is parallel with a side on the PEGBOARD.  If 
                the students are confused by this then show some examples on the 
                board or the overhead and show the different options the sides 
                can be.  The students, already having had the lesson on the 
                types of triangles, will label what kind of triangle they have 
                made.  The teacher will give a brief explanation of the equation 
                of the area of a triangle.   | 
               | 
              | 
           
         
        
           
            Explain:  
              The students 
                will present their triangles and the area of each triangle.  
                 From here the teacher asks if any patterns show up in determining 
                the area of the triangle.  The students will be asked to 
                present different triangles with the same area.  | 
             So can an acute, obtuse, 
              and right triangle have the same area?  If so then show it 
              on the PEGBOARD. 
               | 
             yes 
               | 
           
         
        
           
            | Extend / Elaborate: 
              
              The teacher, using Geometer’s Sketchpad will construct 
              a triangle, on a grid, whose base set to a grid line, i.e. the function 
              y=2, the vertex, not on the base, can move on a line parallel to 
              the base.  The teacher will then manipulate the different parts 
              of the triangle and the students will record their findings.  | 
             Does the equation of 
              the area of a triangle look like other equations of shapes we have 
              studied? 
              Why is it this way then? 
               | 
             rectangle 
              
              Because a triangle is like half a rectangle 
               | 
           
         
        
           
            |   Evaluate: 
              
                  The evaluations occur during the explain and elaborate sections.  
              The teacher looks at different PEGBOARDS when examples are ask to 
              be presented.   | 
              | 
              | 
           
         
        |