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Connecting  Academics & Connecting  Academics &

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Connecting Academics & - PPT Presentation

Connecting Academics amp Parents Academic seminars to sharpen skills and build understanding in Understanding Volume MAFS5MD35 Apply the formulas for V Bh and V lwh for rectangular prisms to find the volumes of right rectangular prisms ID: 766418

rectangular volume prisms prism volume rectangular prism prisms find formulas box determine cubic units lwh volumes copyright base additive

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Connecting Academics & Parents Academic seminars to sharpen skills and build understanding in Understanding Volume

MAFS.5.MD.3.5 Apply the formulas for V = Bh and V= lwh for rectangular prisms to find the volumes of right rectangular prisms. Recognize volume as additive.Grade 5 Mathematics Florida Standards FocusMAFS.5.MD.3.5Apply the formulas for V = Bh and V= lwh for rectangular prisms to find the volumes of right rectangular prisms.Recognize volume as additive.MAFS.5.MD.3.5Apply the formulas for V = Bh and V= lwh for rectangular prisms to find the volumes of right rectangular prisms.Recognize volume as additive.MAFS.5.MD.3.5Apply the formulas for V = Bh and V= lwh for rectangular prisms to find the volumes of right rectangular prisms.Recognize volume as additive.For more information about this standard visit www.flstandards.org

Let’s Talk about Volume What do you know about Volume? How was Volume taught when you were in school?

4 Copyright 2009 MAFS Learning Progression: Volume Divide a rectangle into rows and columns of same--size squares and count to find the total number of squares.Multiply side lengthsto find areas ofrectangles in the context of solving realworld problems. Apply the areaformula for rectangles in real world andmathematical problems.Apply the formulas V = lwh and V = Bh for rectangular prisms to find the volumes of right rectangular prisms.Recognize volume as additive. Find the volume of a right rectangular prism with fractional edge lengths.  

Speaks Volumes For each net, do the following: Visualize the prism and estimate how many cubes the prism will hold. 2. Use the centimeter cubes to determine the volume of your prism.3. Check your estimate.4. How did you determine the area of the base of your prism?How did you use the area of the base to determine the volume?

6 Copyright 2009Using the area of the Base to determine Volume of a Right Rectangular Prism The Area of the Base is 6 square units+ 6 cubic units+ 6 cubic units+ 6 cubic unitsThe Volume of the Base is 6 cubic unitsThe Volume of the Rectangular Prism is 24 Cubic Units.

Box It Up… Toni stacks cube-shaped beads that measure 1 centimeter on each edge in a storage box. The box can hold 3 layers. There are 8 cubes in each layer with no gaps or overlaps. What is the volume of Toni’s storage box?

8 Copyright 2009Pump up the Volume1. Use your measuring tape to determine the length, width and height of your box or prism. 2. Determine the volume of your box or prism using both formulas for volume.3. How do the two formulas for Volume relate to each other? 4. How is this task different than the Box it Up task?5. How is addition used in the formula V=Bh?

9 Copyright 2009Things to remember about Volume Volume is the number of cubic units need to take up space. Answers will be expressed in cubic units (ft3, cm3, in3, etc.)Cubic units refers to 3 dimensions: Length, Width and HeightStudents MUST derive the formula through exploration. They will build conceptual understanding of the meaning of volume and why the formula works.For some situations, Bh may be more efficient to use then lwh.Why do you think it’s important for your child to not rush to memorizing the formulas for volume without understanding?How did this session help you in supporting your child’s understanding of Volume?

Task 1: Find the Volume of real world objects in your home such as Kleenex boxes, cereal boxes, or any rectangular prism shaped box. Practice using both formulas V=Bh and V=lwh to determine the Volume. Task 2: Build a Prism, Determine the volume of various prisms given a set of dimensions10 Copyright 2009Take it Home and Try It! Warning: Implementing this engaging activity will result in an increase in motivation and long-lasting learning. DO TRY THIS AT HOME!