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 2-A deals with two main themes:
In the first several lessons we study basic strategies for adding and subtracting within 0-20. 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 Internet-based 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 single-digit 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 single-digit 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, Add & Subtract 2-B, practices adding and subtracting two-digit numbers mentally and in columns (regrouping).
The PDF version of this book can be filled in on a computer, phone, or tablet, using the annotation tools found in many PDF apps. See more.
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In other words, you are permitted to make copies for the students/children you are teaching, but not for other teachers' usage.
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