BRAIN BLITZ/Warm-UP 1) Calculate the volume of the following figures: Name:________________________________________________________________________________Date:_____/_____/__________ BRAIN BLITZ/Warm-UP Calculate the volume of the following figures: 1) SHOW YOUR WORK: 2) Sally must fill a rectangular planter box with dirt. If the length is 18 in, the width is 6 in, and the height is 10 in, how much will the planter box hold? 3) 4) Lucy is filling her mug with hot chocolate. If the radius of the bottom is 3.5 cm and the height is 8.5 cm, how much hot chocolate will the mug hold? v = lwh 13 cm 3 cm 2 cm v = lwh v =π r 2 h 8 cm 4 cm v =π r 2 h

Hmm… If the width is changed, what happens to the volume? Changing Attributes: 5) Berta’s garden is 3 feet wide, 10 feet long, and 2 feet deep. It holds 60 cubic feet of soil. Bobbi’s garden is the same size, except it is 6 feet wide. How much soil can Bobbi’s garden hold? SHOW YOUR WORK: Hmm… If the width is changed, what happens to the volume? Identify the transformation (translation, rotation, reflection, dilation): 6) ___________________ 7) ____________________ 8) ____________________

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

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

Net version of cylinder height radius SA= 2𝝿r² + 2𝝿rh Top/ Bottom Curved Surface Net version of cylinder length = ________________ of circle (2п𝒓) circumference width = ________ (h) height

The formula explained . . . SA= 2𝝿r² + (2𝝿r)h

CYLINDERS: 1) SA= 2𝝿r² + 2𝝿rh 15 cm 4 cm SA ≈ 213.5 cm²

CYLINDERS: 2) SA= 2𝝿r² + 2𝝿rh 4.5 cm 2.5 cm SA = 109.9 cm²

SA ≈ 61.2 ft² Surface area word problem: 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 and handouts for this lesson. These were handed out in class and filled-in as the lesson progressed.

SA= 2𝝿r² + 2𝝿rh Math-7 NOTES surface area of cylinders DATE: ______/_______/_______ What: surface area of cylinders Why: To calculate the Surface Area of cylinders. NAME: Surface Area - the sum of the AREAS of each ____________ that make up a solid 3-D figure. Where is surface area in real life? Key Words: Cover Wrap Surround surface area of cylinders height radius ____________ / _________________ SA= 2𝝿r² + 2𝝿rh Net version of cylinder

SA= 2𝝿r² + 2𝝿rh CYLINDERS: 1) 2) 15 cm 4 cm 4.5 cm 2.5 cm Surface area word problem: 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?

“surface area of Cylinders” DATE: _____/______/_____ NAME:___________________ Math-7 CLASSWORK “surface area of Cylinders” SA= 2𝝿r² + 2𝝿rh cylinders: 1. 2. 3. 4. 5. 6. 7. Jeffrey wants to cover an empty toilet paper roll with metallic wrapping paper. The toilet paper roll is 5 inches tall and has a radius of 1 inch. About how much metallic paper will he need? 8. Mr. Runfola has a large cylindrical container that he wants to paint. It is 6 ft. tall and 6 ft. in diameter. What is the surface area he will need to paint? 9. Luis baked a cake in the shape of a cylinder. The cake had a diameter of 8 in. and a height of 3 in. He spread strawberry icing over the entire cake, including the bottom. How many square inches of icing did he use?

“surface area of Cylinders” DATE: _____/______/_____ NAME:___________________ Math-7 homework “surface area of Cylinders” SA= 2𝝿r² + 2𝝿rh cylinders: 1. 2. 3. 4. 5. 6. 7. 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?