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Plain Volume Lesson Plan

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Plain Volume Lesson Plan

  1. 1. CH1 – Geometry & Trigonometry – VOLUME Course/Section: MAP 4C Date: _ ______________________________ Lesson Big Idea: Calculating the volume of everyday shapes, such as a triangular prism and composite figures, such as stairs. Ministry Expectations: C1.3 Solve problems involving the volumes and surface areas of rectangular prisms, triangular prisms, and cylinders, and of related composite figures, in situations arising from real-world applications C2.1 Recognize, through investigation using a variety of tools (e.g., calculators; dynamic geometry software; manipulatives such as tiles, geoboards, toothpicks) and strategies (e.g., modeling; making a table of values; graphing), and explain the significance of optimal perimeter, area, surface area, and volume in various applications (e.g., the minimum amount of packaging material, the relationship between surface area and heat loss) Learning Goals: Be able to find the volume of a composite figure. Success Criteria: I will know my students have attained these learning goals if they will be able to separate a composite figure into its component shapes and understand how to find the total volume of the figure. Before: Minds On Time : Description Assessment Materials Paper Rolling Experiment Theory If I was to take a sheet of 8 ½ x 11 paper, and rolled it into a cylinder two different ways (vertically and horizontally), which one would carry a greater volume? Why? Socratic Questions Blackboard Transition from Minds On to Action: By understanding that radius is a larger controlling factor compared to height in determining the volume of a cylinder, we are able to make predictions about the outcome of a given problem.
  2. 2. During: Action Time : Description Assessment Materials 1. Today’s goal is to determine the volume of 3D shapes. Triangular Prism, Cube, Rectangular Prism, Cylinder, Sphere, Cone, Pyramid 2. Example 1: Volume of a Triangular Prism. Step 1: Calculate the area of the triangular base. Step 2: Multiply that area by the height (or depth) of the prism. 3. Example 2: Volume of a Cylinder. 4. Example 3: Volume of a Composite Figure. Find the volume of the steps below by calculating the area of prism A, then prism B, then adding them together. Socratic Questions Blackboard Jill wants to build a cylindrical fish tank for her goldfish. The fish tank is to be 45cm tall, and must hold 8L of water. What is the minimum diameter of the fish tank to the nearest centimeter?
  3. 3. Consolidation Time : Description Assessment Materials 1. A composite figure is a figure that's made up of several different shapes. 2. We can just add their volumes to find the volume of the composite figure. Socratic Questions Blackboard HOMEWORK: Textbook Problems.