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Math Mammoth Subtraction 1 is a worktext that covers a lot of ground. The first part of the book covers the concept of subtraction, the relationship between addition and subtraction, and the various meanings of subtraction. The latter part focuses on memorizing the basic addition and subtraction facts and on word problems.
The first lesson, Basic Subtraction, reviews the basic meaning of subtraction as “taking away.” The student writes subtraction equations from illustrations, and solves subtraction problems by drawing dots and crossing out some of them.
The next two lessons have to do with subtracting on the number line and counting down to subtract. Counting down is a transitional strategy for subtraction, because later students will learn more efficient ways, but it is important conceptually.
The following lesson, Subtraction and Addition in the Same Picture, begins the study of the relationship between addition and subtraction. This concept will span several lessons. This first lesson presents two sets of objects, such as blue and white balls, and the student writes both an addition sentence and a subtraction sentence from this illustration.
In the lesson Two Parts—One Total, we study word problems that do not involve the idea of taking away but have two parts making up a total. For example, if there are 10 flowers of which some are white and some are red, and seven of them are white, how many are red?
Then we study fact families. This means writing two additions and two subtractions using the same three numbers.
In the three lessons covering How Many More?, students find how many more or how many fewer objects one person has than the other by drawing the objects. In the next lesson, Differences, we continue the theme, this time writing a missing addend addition for problems that ask “how many more” using a number line to help us see the difference between numbers.
The first part of the book ends with a review lesson.
The second part provides lots of practice for learning and memorizing the basic addition and subtraction facts with numbers from 0 to 10.
Each of the lessons titled Addition and Subtraction Facts with... approaches the fact memorization from the concept of fact families, which makes the process logical and structured. For example, we study the fact families where the sum is 7, all in one lesson. This means the different sums that make seven (0 + 7, 1 + 6, 2 + 5, 3 + 4) and their corresponding subtraction facts are practiced together.
Many students may not need all the practice problems provided, so don’t assign all of them by default. Use your judgment, and only assign a certain portion, such as half of them, at first. Alongside the lessons, you can use math games and/or flashcards to reinforce the facts. You will find a list of some games in the book.
Besides practicing the facts with the help of fact families, the student will also solve word problems, fill in number patterns, get used to a symbol representing an unknown number, compare number expressions (such as 5 − 2 and 2 + 5), and subtract more than one number at a time.
Besides the written problems, I encourage you to use the games listed in the introduction of the book. Children like to play, and using the addition and subtraction facts in a game gives them fun and education in the same “package”.
At this link, you will find videos that match the lessons in this book.
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.
While this book is not tied to any grade level, it is most suitable for first grade.
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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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