8.G.C.9

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

 
15 Lesson(s)
   

How big is that?

8th Grade Math » Unit: Scale of the Universe: Fluency and Applications
8th Grade Math » Unit: Scale of the Universe: Fluency and Applications
Shaun Errichiello
New York, NY
Environment: Urban
 
Big Idea:

The only way to work fluently with large numbers is by using your number sense and the laws of exponents.

 
Favorites (10)
 
Resources (32)
how big is that lesson image
   

Introduction to volume of 3D solids

8th Grade Math » Unit: VOLUME OF CYLINDERS, CONES, AND SPHERES
8th Grade Math » Unit: VOLUME OF CYLINDERS, CONES, AND SPHERES
Jeff Li MTP
New York, NY
Environment: Urban
 
Big Idea:

Why do the formulas for volume of a cylinder, cone, and sphere make sense? How are they related to the area of a circle?

 
Favorites (17)
 
Resources (18)
 
Reflections (1)
11 1 image volume
   

Solve problems involving volume

8th Grade Math » Unit: VOLUME OF CYLINDERS, CONES, AND SPHERES
8th Grade Math » Unit: VOLUME OF CYLINDERS, CONES, AND SPHERES
Jeff Li MTP
New York, NY
Environment: Urban
 
Big Idea:

How do I apply understanding of volume to complex, multi-step problems?

 
Favorites (10)
 
Resources (18)
 
Reflections (1)
11 2 image problem solving with volume
   

Day Four & Five

8th Grade Math » Unit: Welcome Back!
8th Grade Math » Unit: Welcome Back!
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

To help guide instruction for the year and establish a baseline for quarterly benchmark assessments, students will take a benchmark test aligned to the CCSS.

 
Favorites (12)
 
Resources (8)
 
Reflections (1)
graph
   

Cylinder Volumes (Part 1)

8th Grade Math » Unit: Volumes of Cylinders, Cones, and Spheres
8th Grade Math » Unit: Volumes of Cylinders, Cones, and Spheres
Mauricio Beltre
Orlando, FL
Environment: Urban
 
Big Idea:

Which cylinder is larger? Students make conjectures, then do the math.

 
Favorites (7)
 
Resources (11)
 
Reflections (1)
cylinder imagen
   

Speaking of Spheres (Day 1)

8th Grade Math » Unit: Volumes of Cylinders, Cones, and Spheres
8th Grade Math » Unit: Volumes of Cylinders, Cones, and Spheres
Mauricio Beltre
Orlando, FL
Environment: Urban
 
Big Idea:

What's the relationship between the volume of a sphere and that of a cylinder of equal height and diameter?

 
Favorites (4)
 
Resources (17)
 
Reflections (2)
image sphere
   

Cylinder Volumes (Part 2)

8th Grade Math » Unit: Volumes of Cylinders, Cones, and Spheres
8th Grade Math » Unit: Volumes of Cylinders, Cones, and Spheres
Mauricio Beltre
Orlando, FL
Environment: Urban
 
Big Idea:

Students need to learn the basics underlying the volume formula, so they can apply it with meaning.

 
Favorites (3)
 
Resources (15)
 
Reflections (1)
cylinder image
   

Volume Mastery Assessment (Day 2)

8th Grade Math » Unit: Volumes of Cylinders, Cones, and Spheres
8th Grade Math » Unit: Volumes of Cylinders, Cones, and Spheres
Mauricio Beltre
Orlando, FL
Environment: Urban
 
Big Idea:

Students are given choices to answer written response questions including higher order thinking problems.

 
Favorites (2)
 
Resources (9)
 
Reflections (1)
math
   

Outdoor and Hands-on: An Assessment (Day 1)

8th Grade Math » Unit: Volumes of Cylinders, Cones, and Spheres
8th Grade Math » Unit: Volumes of Cylinders, Cones, and Spheres
Mauricio Beltre
Orlando, FL
Environment: Urban
 
Big Idea:

Equipped with calculators and measuring tape, students calculate volumes of various objects on the school premises.

 
Favorites (4)
 
Resources (16)
 
Reflections (2)
image1
   

Speaking of Spheres (Day 2)

8th Grade Math » Unit: Volumes of Cylinders, Cones, and Spheres
8th Grade Math » Unit: Volumes of Cylinders, Cones, and Spheres
Mauricio Beltre
Orlando, FL
Environment: Urban
 
Big Idea:

In cooperative groups students discuss and apply methods for determining the volume of a sports ball.

 
Favorites (2)
 
Resources (16)
 
Reflections (2)
sports vectors
   

Quantum of Solids- Day 1

8th Grade Math » Unit: Quantum of Solids
8th Grade Math » Unit: Quantum of Solids
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

Through hands-on exploration, students develop and test hypotheses about the volume relationships among these related solids.

 
Resources (23)
 
Reflections (1)
volume exploration
   

Quantum of Solids- Day 2

8th Grade Math » Unit: Quantum of Solids
8th Grade Math » Unit: Quantum of Solids
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

Using a foldable, students will organize their understanding of volume formulas and then practice applying them to three-dimensional solids.

 
Favorites (1)
 
Resources (24)
 
Reflections (1)
foldable pic
   

Quantum of Solids- Day 4

8th Grade Math » Unit: Quantum of Solids
8th Grade Math » Unit: Quantum of Solids
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

Now that students have had a few days of practice applying the volume formulas, it is time to give them a real-world problem to solve that will put these new skills to use.

 
Resources (21)
 
Reflections (1)
cylinders to prisms
   

Quantum of Solids- Days 5 - 7

8th Grade Math » Unit: Quantum of Solids
8th Grade Math » Unit: Quantum of Solids
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

As a formative assessment for this unit, students will design and create a "Solids Pet" using cylinders, cones, spheres and other geometric solids. They will then calculate the volume of their pet and compare it to their estimation.

 
Favorites (2)
 
Resources (23)
 
Reflections (2)
spp2
   

Quantum of Solids- Day 3

8th Grade Math » Unit: Quantum of Solids
8th Grade Math » Unit: Quantum of Solids
Heather Sparks
Oklahoma City, OK
Environment: Urban
 
Big Idea:

Estimating volumes is one of the most difficult of estimating tasks. Today, students must use their knowledge of the volume of cylinder formula to rank eight cylinders in descending order of volume.

 
Resources (20)
 
Reflections (1)
ordering cylinders
Common Core Math
 
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