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Math 8 Unit 4: Measuring Prisms and Cylinders

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What you’ll learn Draw and construct nets of 3-D objects Determine the surface areas of prisms and cylinders Develop formulas for the volumes of prisms and cylinders Solve problems involving prisms and cylinders

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Unit 4: Measuring Prisms and Cylinders Why its important: Used to design different objects (soup can, box, dog house, etc...) Used to determine the amount of material needed to make an object (surface area) Used to determine the volume of an object.

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4.1 EXPLORING NETS Unit 4: Measuring Prisms and Cylinders

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4.1 Exploring Nets Focus: Identify, draw, and construct nets of objects

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Net – a diagram that can be folded to make an object. Origami folding box.

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Right prism – a 3-D shape that consists of two parallel regular polygons connected to form a 3-D shape.

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Need nets Cube Rectangular prism Triangular prism Cylinder

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4.2 CREATING OBJECTS FROM NETS Unit 4: Measuring Prisms and Cylinders

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4.2 Creating Objects from Nets Focus: Build objects from nets

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4.3 SURFACE AREA OF A RIGHT RECTANGULAR PRISM Unit 4: Measuring Prisms and Cylinders

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4.3 Surface Area of a Right Rectangular Prism Focus: Find the surface area of a right rectangular prism

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4.4 SURFACE AREA OF A RIGHT TRIANGULAR PRISM Unit 4: Measuring Prisms and Cylinders

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4.4 Surface Area of a Right Triangular Prism Focus: Find the surface area of a right triangular prism

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4.5 VOLUME OF A RIGHT RECTANGULAR PRISM Unit 4: Measuring Prisms and Cylinders

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4.5 Volume of a Right Rectangular Prism Focus: Develop and use a formula to calculate the volume of a right rectangular prism

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4.6 VOLUME OF A RIGHT TRIANGULAR PRISM Unit 4: Measuring Prisms and Cylinders

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4.6 Volume of a Right Triangular Prism Focus: Develop and use a formula to find the volume a right triangular prism

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4.7 SURFACE AREA OF A RIGHT CYLINDER Unit 4: Measuring Prisms and Cylinders

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4.7 Surface Area of a Right Cylinder Focus: Find the surface area of a right cylinder

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4.8 VOLUME OF A RIGHT CYLINDER Unit 4: Measuring Prisms and Cylinders

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4.8 Volume of a Right Cylinder Focus: Develop and use a formula to find the volume of a right cylinder

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