Mathematics Grade 2 15 min

Surface area of spheres

Surface area of spheres

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Introduction & Learning Objectives

Learning Objectives Identify a sphere shape in everyday objects. Describe 'surface area' as the 'skin' or 'outside' of a sphere. Estimate if a sphere has a larger or smaller surface area than another. Use counting to measure the 'surface area' of a sphere with stickers or stamps. Record their counting data using tally marks. Use their data to describe the chance of something happening. Have you ever tried to peel an orange in one piece? 🍊 That peel is its surface area! Today we will learn about the outside skin of ball shapes, called spheres! We will see how to guess and check how much skin a sphere has. It's a fun counting game! πŸŽ‰ Real-World Applications Guessing how many sprinkles are on a round donut 🍩 Counting the se...
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Key Concepts & Vocabulary

TermDefinitionExample SphereA perfectly round shape, like a ball. πŸ”΅A basketball, a marble, or a bubble are all spheres. Surface AreaThe total outside part of a shape. It is like its skin! ✨The red part of a cherry πŸ’ or the peel of an orange 🍊. EstimateTo make a smart guess about a number. πŸ€”I estimate there are 10 cookies in the jar. DataThe numbers you get from counting or measuring. πŸ“ŠWe counted 5 red balls and 3 blue balls. That is our data! Tally MarksA quick way to keep count. You make one line for each one. I I I ITo count to 3, you would make three lines: I I I ChanceHow likely it is that something will happen. 🎲If there are more blue blocks than red blocks, you have a better chance of picking blue.
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Core Formulas

The Sticker Counting Rule Surface Area β‰ˆ πŸ“ + πŸ“ + πŸ“... We can measure surface area by counting how many stickers it takes to cover the whole sphere. The Bigger is More Rule Big πŸ€ > Small ⚾ A bigger sphere will always need more stickers to cover its surface area than a smaller sphere. The Guess and Check Rule Guess πŸ€” ➑️ Count πŸ”’ ➑️ Check βœ”οΈ First, we make a smart guess. Then, we count to collect our data. Finally, we check how close our guess was!

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Sample Practice Questions

Challenging
A pie chart shows a planet's surface: 3 parts are green land, 1 part is yellow desert. If 40 spaceships land all over the planet, what is a good guess for how many landed on green land?
A.10
B.40
C.30
D.4
Challenging
A scientist guesses the 'stickiness' of the surface of three new fruits. Fruit X = 35 sticky units. Fruit Y = 50 sticky units. Fruit Z = 45 sticky units. Based on this data, which fruit is MOST LIKELY to be the least sticky?
A.Fruit X
B.Fruit Y
C.Fruit Z
D.They are all equally sticky
Challenging
It costs $10 to buy enough paint to cover a big beach ball with a surface of 50 units. Based on this data, what is a fair price to buy paint for a small tennis ball with a surface of 10 units?
A.$2
B.$5
C.$10
D.$8

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