Standards for the lesson

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres

• CCSS.MATH.CONTENT.8.G.C.9

  Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world mathematical problems.

Expressions and Equations Work with radicals and integer exponents.​

• CCSS.MATH.CONTENT.8.EE.A.2

  Use square root and cube root symbols to represent solutions to equations of the form ​x²=p and x³=p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.

Standards for the lesson

ELD STANDARDS

• CCSS.ELA-LITERACY.W.9-10.1

  Write arguments to support claims in an analysis of substantive topics or texts, using valid reasoning and relevant and sufficient evidence.

• EXCHANGING INFORMATION/ IDEAS​

  C​contribute to class, group, and partner discussions by following turn-taking rules, asking relevant questions, affirming others, adding relevant information, and paraphrasing key ideas

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We want to work with volumes of spheres, cylinders, and cones!

The Big Picture

• Pool Cleaner

• ​Truck Driver

• ​Video Game Programmer

• ​Artist (Sculptures)

• Entrepreneur (Physical Product)​

• Engineering

• Construction​

Jobs

• To take care of your fish

• ​To know how much it will cost to fill up the gasoline in your car

• ​Baking

• Guitar (amplitude)​

• Sports (psi)​

Everyday

Why?

Warm-Up

(Connection to Prior Learning)​

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​radius

​Area of a Circle

Modeling​ Volume

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• Hands-on exploration of volume​Explore and discover the formulas for the volume of a sphere, cone, and cylinder by identifying relationships using displacement of water.

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​Next Steps for Learning