In Decomposing Fractions for Homeschoolers, you’ll learn many of the fundamental concepts of decimals. For example, decimals are part of the natural order of things. For example, when we multiply two numbers, we must subtract one from the other. Decomposing elements of decimals will help you learn about adding and subtraction as it applies to your math classroom.
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Some students may worry that they won’t understand or remember the concepts of decimals. This is true mostly because most teachers treat decimals differently than they do other fraction concepts. For example, most students are taught to multiply by both sides by five before adding the results together. The resulting number is their target.
Most of us have heard of “the little fifth” or “the big fifth.” There’s another popular fraction called the decimals of a number. Decimals are used to describe extremely small sums. Students need to learn how to multiply decimals and recognize them when they see them.
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Once students know how to multiply decimals, they can start to apply them to other areas of math. One popular application is to solve some of the problems associated with decimals. Decimals are an excellent way to handle addition, subtraction, division, multiplication, and rate or time tables. They are also perfect for making sense of logarithms and other arithmetic complexities.
Before starting your first lesson in decimals, teach students how to count. Count to ten before even looking at the fraction being worked out. Encourage students to think about adding, subtraction, and division of decimals. Once they know how these ideas work, they can apply them to other areas of mathematics and learn how to add decimals to multiply by another number, for example.
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For younger children, you can make use of a visual aid to help them learn decimals. A chalkboard or dry erase board can be decorated with graphics to help visualize the decimals. You can draw a zero so that students can see the decimal equivalent of zero. Or you can draw a five so that they can see five decimals. The dry erase board works well for younger students because it’s easy to erase mistakes.
You can also make use of charts that show how decimals are used. If a decimal is plotted on a graph, then the student knows that he or she is looking at the value of one hundredth of a percent. Use charts like this in conjunction with dry erase boards and charts so that students are made aware of the basic concepts involved.
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Finally, ask your students to write down their answers. Encourage them to elaborate on their answers. Doing so forces them to think through the concept. After doing so, you can see if their answer is correct. If not, you can re-arrange the decimals or ask them to think harder about it. Once they grasp the concept, you will find that the next time your class offers a problem that has decimals involved, they have no problem finding the answer.
To further encourage students to learn decimals, you can give them hints throughout the course. For example, if you discuss decimals and divisions before asking the class to solve for a percentage, they will make use of decimals right away. They will understand how a fraction is divided into two parts. Before they know it, they will be able to divide any amount of money into its fraction.
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Another way to help students make use of decimals is to help them mentally rehearse. It can be difficult for students to put things into perspective when they first encounter them, so remember to let them know that even the smallest fraction has an equal percentage with the larger ones. You can provide visual examples throughout the course to help students see exactly what they are dealing with.
Finally, let your students use calculators throughout the class. They may have trouble computing the area of a fraction on their calculator or even knowing how much is left after dividing a fraction by the unit. You can provide them with visual examples in order for them to visualize how decimals are used in their lives. They can also learn more about decimals and the concepts behind them.
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When teaching students about decimals, make sure they thoroughly understand what they are and how they work. Make sure they practice everything they learn. Finally, make it fun for them. After all, learning is fun and rewarding experience.
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