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Mathematics Lesson Plan Format Teacher’s name: ____Kelly Beyer____ Date: ___________________ Subject: _geometry Grade Level: _6_ Topic: __Area of a triangle_ Lesson Topic The formula for a triangle comes from the area of a parallelogram. Essential Questions/Big Ideas: 1. How does the area for a parallelogram relate to the area of a triangle? 2. Does the formula work for any triangle? Learning Objectives: The students will…. Understand - why the area for a triangle is 1/2bh - how to use the formula for the area of a triangle Know - the formula for the area of a triangle is A=1/2bh - a triangle is half of a parallelogram Be able to - solve for the area of a triangle when given the base and height Application - develop the formula for the area of a triangle from knowing the formula for the area of a parallelogram Synthesis Virginia SOLs 6.11 The student will determine if a problem situation involving polygons of four or fewer sides represents the application of perimeter or area and apply the appropriate formula. National Standards (NCTM) Grades 6-8 ????????? Student and Teacher Activities with Estimated Time Blocks: Time Teacher (what the teacher will do) Students (what the students will do) Key instructional questions 5 min Hook: The students will be given two sheets of patty paper. First the teacher will instruct that we know the formula for a parallelogram (and write this on the board) but what about the area for a triangle? Lets try to make equal triangles so that we can relate triangles to a parallelogram! The student will hopefully fold the paper in half and realize that the formula for a triangle is half of a parallelogram. So if we know that the area of the square paper is bh what do you think the area of the triangle is. Student answers: Half of the square Teacher response: So how would we write our formula…what would we have to add into the formula to make it half of it? Student: ½ bh 7 min min What about if it is not a right triangle, can any triangle really be made into a parallelogram??? On the second patty paper have them cut out two of the same triangles to try and make them match up into a parallelogram. This proves that any triangle is half of a parallelogram therefore the formula for area is 1/2bh. The student will cut out any triangles that they choose and try to make it into a parallelogram. Can any triangle be made into a parallelogram? Once they try, they will figure out yes! 10mi n Hand out the note page and go over the PowerPoint which practices how to plug in the base and height and solve for the area of a triangle Have the students use patty paper to cut out their own triangle and label the base and the height (measure them with a ruler) and exchange them with a partner to solve for the area The students will take notes along with the PowerPoint 8 min The students will make and solve for the area of triangles Materials Needed for the Lesson: Patty paper, note page, sissors Resources: 6th grade mathematics textbook; Houghton Mifflin Math Pre Algebra textbook; Holt Pre-Algebra Teaching Student-Centered Mathematics