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Place Value 3: workbook about 4-digit numbers

The workbook Math Mammoth Place Value 3 focuses in on 4-digit numbers (thousands): place value with thousands, and adding and subtracting 4-digit numbers.

The book is not tied to any grade level but best suits third grade.

The book first deals with place value (see sample and another sample). The emphasis is on trying to get familiar with numbers that have thousands and 'visualize' them on a number line. Comparing is included (see sample page).

Then are studied addition and subtraction using 4-digit numbers. First the book contains a lot of mental math problems with 4-digit numbers (sample page, sample page).

In studying mental addition and subtraction the similarities to adding smaller numbers are stressed, which helps the students to understand how to add/subtract these bigger numbers. Mental math also helps to build number sense.

Adding and subtracting in columns is its own lesson (see sample). These processes should be relatively easy now assuming the student has grasped them well earlier, when studying 2-and 3-digit numbers. Borrowing over zeros and word problems are included.

Order of operations (sample) is studied for addition and subtraction only, and several interesting connections with algebraic thinking are made in this lesson.

Then there are lessons about rounding and estimating (see sample), which are very important skills needed in everyday life.

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