Identify the transformation (translation, rotation, reflection, dilation): Name:______________________________________________________________________________Date:_/_/________.

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Presentation transcript:

Identify the transformation (translation, rotation, reflection, dilation): Name:________________________________________________________________________________Date:_____/_____/__________ Calculate the volume of the following figures (use formula sheet): 1)Answer: 2)Answer: 3)Jackson’s coffee mug has a diameter of 3 inches and is 5 inches tall. How much can the mug hold? Answer: 8 cm 4 cm 13 cm 3 cm 2 cm 4)5)6)

7) Translate (-6, 3):____________________________________________________ 8) Reflect over the “x” axis: ____________________________________________ 9) Reflect over the “y” axis:_____________________________________________ 10) Rotate 90˚ clockwise:________________________________________________ 11) Rotate 270˚ counter-clockwise:_____________________________________ 12) Dilate by a scale factor of 4:_________________________________________ 13) Dilate by a scale factor of ½: _______________________________________ Point A is located at (3, -2). Perform the following transformations, and identify where A “prime” would be: A

Today’s Lesson: What: Surface area of prisms and cylinders Why: To calculate the surface area of both rectangular prisms and cylinders. What: Surface area of prisms and cylinders Why: To calculate the surface area of both rectangular prisms and cylinders.

Surface Area — the sum of the areas of each ____________ that make up a solid 3-D figure. Where is surface area in real life? (brainstorm) face Key Words : Cover Wrap Surround

length width height SA= 2lw + 2lh + 2wh Top/ Bottom Right/ Left Front/ Back Net version of rectangular prism TOP BOTTOM RIGHT LEFT FRONT BACK

Rectangular PRISMS: 1) 2) 12 cm 5 cm 4 cm 3.5 cm 14 cm 2 cm SA = 256 cm² SA = 168 cm²

Top/ Bottom SA= 2r² + 2rh Curved Surface height radius Net version of cylinder

CYLINDERS: 1) 2) 15 cm 4 cm 4.5 cm 2.5 cm SA ≈ cm² SA = cm²

Surface area word problems: 1)Bob is wrapping a present that is 12 inches long, 4 inches wide, and 3 inches tall. What is the minimum amount of wrapping paper required? SA = 192 in²

Surface area word problems: 2)Jane is painting a cylindrical barrel, top and bottom included. If the barrel is 5 feet tall with a diameter of 3 feet, how much paint will Jane need? SA ≈ 61.2 ft²

END OF LESSON The next slides are student copies of the notes for this lesson. These notes were handed out in class and filled-in as the lesson progressed. NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”) represent the homework assigned for that day.

Rectangular Prism Net Directions: Cut flattened shape out. DO NOT cut along the inside lines. Once cut out, fold along the inside lines to make a rectangular prism (or box).

Cylinder Net Directions: Cut flattened shape out. DO NOT separate the top and bottom circles from the rectangle. In other words, you should end up with ONE CUT-OUT shape– NOT three separate ones!! See if you can form a cylinder! 13 cm. 13 cm 6 cm 2.5 cm

Surface Area — the sum of the Areas of each ____________ that make up a solid 3-D figure. Rectangular PRISMS: 1) 2) Math-7 NOTES DATE: ______/_______/_______ What: surface area of prisms and cylinders Why: To calculate the Volume of both rectangular prisms and cylinders. What: surface area of prisms and cylinders Why: To calculate the Volume of both rectangular prisms and cylinders. NAME: length width height Net version of rectangular prism 12 cm 5 cm 4 cm 3.5 cm 14 cm 2 cm Where is surface area in real life? SA= 2lw + 2lh + 2wh Top/ Bottom Right/ Left Front/ Back Key Words : Cover Wrap Surround

CYLINDERS: 1) 2) Top/ Bottom SA= 2r² + 2rh Curved Surface height radius Net version of cylinder Surface area word problems: 1)Bob is wrapping a present that is 12 inches long, 4 inches wide, and 3 inches tall. What is the minimum amount of wrapping paper required? 2)Jane is painting a cylindrical barrel, top and bottom included. If the barrel is 5 feet tall with a diameter of 3 feet, how much paint will Jane need? 15 cm 4 cm 4.5 cm 2.5 cm

Suzanne has a jewelry box she wants to cover with wallpaper to match her room. Her box is 12 cm long, 6 cm wide, and 5 cm high. How much paper will she need to cover the box? 8. What is the surface area of a cardboard carton if it is 14 inches wide, 10 inches tall, and 16 inches long? 9. Mark had an old trunk he wants to use in his living room. He plans to use some upholstery fabric to make it look new. How much fabric will he need to cover it if it is 4 ft. long, 2 ft wide, and 2.5 ft tall? DATE: _____/______/_____ NAME:___________________ Prisms:

Lynn made a kaleidoscope that she wants to cover in metallic wrapping paper. The structure is 9 inches tall and has a radius of 1.5 inches. About how much metallic paper will she need? 8. Louise has a large cylindrical container that she wants to paint. It is 4 ft. tall and 2 ft. in diameter. What is the surface area she will need to paint? 9. Mr. Butterworth baked a cake in the shape of a cylinder. The cake had a diameter of 9 in. and a height of 5 in. He spread chocolate icing over the entire cake, including the bottom. How many square inches of icing did he use? cylinders: