Volume and Hidden Cubes (Common Core Standards)

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"Volume and Hidden Cubes" is the second installment in a series of mathematics units on 3-D volume and geometry designed for grades 2-6 and aligned to the Common Core Standards. Included in this file packet are reproducible handouts introducing the concept of "hidden cubic units," as well as multiple printable worksheets for whole class practice, individual practice, challenge practice, math centers, and/or homework.

Note: "Volume and Hidden Cubes" is the second installment in this series. Every problem involves using common sense or logic to ascertain the existence of unseen or "hidden" cubes in geometric figures, that is, cubes whose faces cannot be seen at all. (For example, the center "hidden cube" contained inside a Rubik's cube-like structure.)

For those of you who bought the first unit, "Volume and Visible Cubes," the second unit, "Volume and Hidden Cubes," is designed to take your students to the next higher level. Oh, and of course, the weird and wonderful snails are back in full force to not only help your students grasp 3-dimensional volume concepts more easily and rapidly, but also to intrigue, delight, and make schoolwork more interesting and fun!

Once again, I recommend using plastic snap cubes as hands-on learning tools (manipulatives) in conjunction with the worksheets in this unit. In fact, with "Volume and Hidden Cubes" I strongly suggest doing so. This way, the children can actually see and touch the hidden cube (or cubes) in a given figure as opposed to just simply imagining them (which often might be difficult for some children at first.) Moreover, this makes for a very easy math center to not only set up quickly, but also facilitate with minimum effort.

Once established and underway, "Volume and Hidden Cubes" virtually runs itself and can be put to a variety of uses. (The same also pertains to "Volume and Visible Cubes," the first unit in this series.) This might prove especially useful if you finish your math lesson early, have five or ten extra minutes remaining, and need to fill in the extra time. Simply distribute one of the many worksheets and, with very little direction, the children will know what to do. You might also wish to distribute a worksheet to those "distractful" students who finish their class work early (being, after all, that the primary objective of any class work is to finish as quickly as possible - and before everyone else!!!) Finally, "Volume and Hidden Cubes" makes for a good, yet short, test prep review especially in the rushed "crunch" time just before state standardized testing begins.

"Volume and Hidden Cubes" is also rendered in black and white, thus producing crisp, clear copies every time.

At the moment, I am finishing up the third and final unit to this series, "Volume: Half Cubes and Cubic Solids," which I will be posting shortly in my new store, The Teacher's Twilight Zone." "Cubic Solids" features those "bulky" cubic geometric figures so often featured in standardized tests, whereas "Half Cubes" is designed primarily for those students who enjoy an added challenge. If interested, please check back at my store soon.

As always, I appreciate you taking the time to preview this product - or any of my products - and hope it will prove to be of benefit to you and your children for many years to come.

Here is "Volume and Hidden Cubes" broken down, along with the number of pages included in each section:

"Introduction to Hidden Cubes" (6 pages)
"Welcome to the World of Hidden Cubes" (2 pages)
"Welcome to the World of Hidden Cubes (Explanatory Answer Sheet)" (6 pages)
"Return to the World of Hidden Cubes" (2 pages)
"It's Slime Time with Swamp Cubes" (2 pages)
"Walking in a Winter Wonderland with Ice Cubes" (3 pages)
"Earthquake Cubes" (4 pages)
"Dare to Enter the Realm of Ghost Cubes" (2 pages)
"It's Time to Learn Our ABCs with Alphabet Cubes" (4 pages)
"Challenge Yourself with Hidden Cubes" (6 pages)
"Stretch Your Imagination with Hidden Cubes" (6 pages)
Answer Key (for all of the above)

For more things weird, wild, wonderful and slightly "out of the box," please visit my store, "The Teacher's Twilight Zone."

Once again, thank you!

Robert Hall
5th Grade Teacher

Lastly, If you enjoyed this product and found it useful, please take a moment or two to leave feedback. I'd really appreciate it!

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.
Total Pages
Answer Key
Teaching Duration
2 Weeks

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Volume and Hidden Cubes (Common Core Standards)
Volume and Hidden Cubes (Common Core Standards)
Volume and Hidden Cubes (Common Core Standards)
Volume and Hidden Cubes (Common Core Standards)
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