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Math Mammoth Place Value 1
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Math Mammoth Place Value 1


The PDF file for this product is enabled for annotation. This means that if you prefer, your student can fill it in on the computer, using the typewriter and drawing tools in Acrobat Reader version 9 or greater.

Math Mammoth Place Value 1 teaches students two-digit numbers, or place value with tens and ones.

The initial lessons that introduce tens and ones use a 100-bead abacus extensively. A 100-bead abacus or school abacus simply contains 10 beads on 10 rods, a total of 100. It is not a special abacus as used by the Chinese or the Russians. In the school abacus, each bead simply represents one. It can look for example like the picture on the right. The 100-bead abacus lets children both "see" the numbers and use their touch while making them.

Here's a link to Melissa & Doug Classic Wooden Abacus at Amazon. Amazon has other abaci as well, as do other stores.

If you cannot obtain a real abacus, you can probably use this virtual abacus.

The abacus is not the only model used in the book. We also use a visual model of blocks where ten of them "snap" together to a stick. If you already have so-called base-ten blocks, you can use them along with the visual exercises, if you want to.

Then, the book also uses the 100-chart and number lines. Number lines help visualize how the numbers continue indefinitely and also connect with the concept of measuring. The 100-chart helps the child to be familiar with the numbers below 100 and find patterns in the number system.

When children count, they basically just learn numbers as some kind of continuum that continues and continues. With simple counting, your child might not catch on to the inherent structure and how it goes into groups of tens and hundreds and thousands.

For children to understand place value, they first need to know their numbers up to 10, do simple addition with small numbers, and understand about counting in groups. Our whole number system is based on the idea that if you have lots and lots of objects, the efficient way is to count them in groups of tens, hundreds, and thousands - not individually.

The crucial point in understanding the concept of place value is that a certain position represents a certain size group. Then the digit in that position tells you how many that size groups there are. For example, in the number 2,381, we adults already know that 8 represents eight tens, and not just "8". The number 3 represents three hundreds, and not just "3". The placing or positioning of the digit tells us what size groups we mean, and the digit itself tells how many of those groups.

In this book, children learn this idea for just two digits, or two place values.

For that matter, we could start a different system of writing numbers where font size tells you the place value: for example 782 would be 7 tens, 8 hundreds, and 2 ones = 872. Please note that this idea is NOT developed in this book. It is just an example to let you see that the place value concept is about something abstract (certain positioning) representing a certain size group.


Place Value 1 also has an introductory lesson on regrouping. The two lessons in the end, about graphs and money, are included as real-life applications of two-digit numbers. You do not have to study them in this context, though, but could instead study those topics some other time as you see fit.

This worktext is suitable for kindergarten (partially) or first grade mathematics studies.

Continue the study of place value in Math Mammoth Place Value 2.

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January 23rd, 2012
I love the format and layout of Math Mammoth. I extremely love the readily available titles at the click of a mouse. Can't get enough of currclick. It's the perfect solution to ruts and boredome in this household. Love love LOVE [...]
October 28th, 2011
Very happy with this workbook! It is well laid out and easy to teach from. My daughter enjoys doing her math work and the games and links are wonderful additions! Will definitely be ordering more from Math Mammoth! Currclick was awesome to deal with an [...]
August 27th, 2010
I have been wed to my Math curriculum since I started homeschooling, but as will happen my youngest isn't doing well with it. Based on Math Mammoth's excellent reviews, I decided to give it a try. I am completely sold. My daughter responded immediately [...]
March 6th, 2008
We are now almost through place value 1 and look forward to ordering addition 2 soon. The e-books are designed in such a way that a young child can understand the directions, but they do not "talk down" to a young grade level. There are no ca [...]
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File Last Updated:
March 03, 2018
This title was added to our catalog on January 18, 2007.