Sample pages (PDF)
Contents & Introduction
Trick with 9 and 8
Review: Completing the Next Whole Ten
Adding with 8
Number Rainbows  11 and 12
Fact Families with 13
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Math Mammoth Add & Subtract 2A deals with two main themes:
The PDF version of this book 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 Adobe Reader version 9 or greater.
In the first several lessons we study basic strategies for adding and subtracting within 020. After those, we study the idea of completing and going over ten. For example, the child adds 8 + 5 by first adding 8 + 2 (which makes 10), and then adding the 3 that was "left over." These lessons prepare the student for the next part of the book, which has to do with memorizing the basic addition facts.
The next lessons in the book, Adding with 9, Adding with 8, Adding with 7, and Adding with 6, provide lots of practice for learning and memorizing the basic addition facts. There are 20 such facts:
from 9 + 2 till 9 + 9: 8 facts (lesson Adding with 9)
from 8 + 3 till 8 + 8: 6 facts (lesson Adding with 8)
from 7 + 4 till 7 + 7: 4 facts (lesson Adding with 7)
from 6 + 5 till 6 + 6: 2 facts (lesson Adding with 6)
Some children will accomplish this quicker, needing less practice. Some will need more practice. You can also add in some Internetbased games (a list of online games is provided in the book), and also use the fact families online practice program here at MathMammoth.com.
After those lessons, we study subtraction. First, the child subtracts to ten. This means subtracting from 14, 15, 16, etc. so that the answer is 10, for example 16 − __ = 10. In the next step, we study subtractions with an answer less than 10, such as 16 − 7. The student practices these by subtracting in two parts: First subtracting to ten, then the rest. For example, 16 − 7 becomes 16 − 6 − 1, or 14 − 6 becomes 14 − 4 − 2.
The last part of the book includes various lessons titled Number Rainbows and Fact Families with ..., which give lots of practice and reinforcement for the basic addition and subtraction facts. These lessons also include many word problems. They emphasize the connection between addition and subtraction to solve basic subtraction facts such as 13 − 8 or 15 − 6. Alongside them, you can also use games or flashcards to reinforce the learning of the facts.
Learning and memorizing the basic addition and subtraction facts of singledigit numbers is very important for later study. For example, regrouping (carrying/borrowing) in addition and in subtraction requires that the student be able to recall all the sums of singledigit numbers and corresponding subtraction facts efficiently and fluently. The goal is to memorize these facts, or at least become so fluent with them that an outsider cannot tell if the student remembers the answer or uses some mental math strategy to get the answer.
The followup to this book is Add & Subtract 2B, which practices adding and subtracting twodigit numbers mentally and in columns (carrying and borrowing).
Please see also the two videos below that explain several strategies for learning addition and subtraction facts, many of which are studied in this book.
TOS Crew Review: Math Mammoth by Cappucino Life blog
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