You are here: Home → Blue Series → Place Value 1

Math Mammoth Place Value 1

63 pages
(of which 40 are lesson pages)
Price: $3.00 PDF download

Buy printed softcopy
at Lulu - $9.70, b&w

Sample pages

Contents
Counting in Groups of Ten
Building Numbers 11-40
Which Number is Greater?
Skip-Counting
Money - Counting Coins

Este libro es disponible en español:
Mamut Matemáticas Valor Posicional 1

---

Your order is secure at Kagi
Shopper help at Kagi

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. The 100-bead abacus lets children both "see" the numbers and use their touch while making them.

At Amazon you can find Melissa & Doug Classic Wooden Abacus at Amazon for around $10. An abacus where the beads alternate colors by fives is even more useful. You can browse Amazon's abacus selection here. Other stores carry abaci as well.

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

The abacus is used in the first lessons, but it 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.

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.

Check also some online games for teaching place value, and different kinds of number charts you can create.

Better Yet - Package Deals!
Blue Series package - $90 (download) or $95 (CD)
Blue Series for grades 1-3 - $38 (download)
Blue Series for grades 4-6 - $52 (download)
Golden/Green Series package - $65 (download) or $70 (CD)
Light Blue Series package - $118 (download) or $123 (CD)
All Inclusive package - $177 (download) or $182 (CD)
"Everything" Bundle - $225 (download only)

Learn more about the package deals!

*BONUS*: Buy any package listed above, and get the fully upgraded Soft-Pak software with more features and options for FREE (includes 4 math, 1 language arts, 2 testing programs).

*BONUS* - SOFT-PAK MATH SOFTWARE

I bet you'd have to agree: this is a steal! You can get Soft-Pak math programs (list price $24.95) for just a small $3.50 s&h fee - just by ordering ANY of my books at Kagi or CurrClick!

* Math Maker, for printable math activities with answer keys
* Math Master, for on screen practice of various math topics
* Math User, for answering the 900 multi-level word problems
* True/False Math Challenger for mastering facts 1-12


NOTE: if you purchase one of the package deals at Kagi store, you will get Soft-Pak in the download or included on the CD for FREE.

Soft-Pak may also be purchased at great 75% discount without a Math Mammoth purchase - click here for details.

How and where to order

You can buy Math Mammoth books at:

• Kagi store - all of the downloads and CDs. I maintain five different order pages at Kagi:
  • One for the Blue series,
  • another for the Golden and Green Series, and
  • third for the Light Blue complete curriculum products, and
  • one more for the Packages (CDs or downloads).
  • And yet an order page for Make It Real Learning workbooks.

  Kagi accepts all major credit cards, Paypal (USD), checks, cash, money orders, purchase orders, wire transfers, TrialPay, and even cash. Read more about the payment methods here. Please see Kagi Shopper Help for any other questions about the ordering process.

  After completing the order at Kagi, you will see the download links on the receipt page. You will also receive an email with download links for each book you bought, or for a zip file for the packages. You click on the links and download the books to your computer's hard drive.

  In case of any problems with the download, you can always email me, and I can email the books to you directly. My contact info will be in the email you receive.

  
   
• CurrClick.com carries all Blue, Golden, and Lightblue series books as downloads. They accept credit cards and Paypal. You will be able to download the products immediately upon the purchase, and also return to your account at CurrClick to redownload.
• Lulu has printed copies for the Blue, Golden, and Light Blue series books. For each book at MathMammoth.com, you can find a link to the printed copy sold at Lulu on each individual book's page (right sidebar).

---

By purchasing any of the books, permission IS granted for the teacher (or parent) to reproduce this material to be used with his/her students in a teaching situation; not for commercial resale. However, you are not permitted to share the material with another teacher.

In other words, you are permitted to make copies for the students/children you are teaching, but not for other teachers' usage.