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Comparing Decimals Teacher Resources
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These fractions need to be converted to decimals, but no calculator is needed. Scholars examine two examples which explain the process briefly before completing 16 fractions with denominators of either 10 or 100. For the next section they convert more complex fractions using long division, again with an example as guidance. Connect this concept tangibly using money: What is one-quarter of a dollar? Learners will quickly begin using these familiar concepts to help them grasp these more complicated ideas.
What is the place value of the digit 5? Explore decimals to the ten-thousandths place with these place value identification problems. For the first eight, pupils write down the place of a specific digit in various numbers. Next, scholars choose from three numbers given information about which digit is in which place. Finally, learners determine how much greater one number is than a number very close to it. There are examples for some of these to guide young mathematicians. Challenge them to think about what the next place value might be.
Before handing out this number comparison activity, ask scholars to pick a number between 20 and 50. Could they do it? Explain that they chose a number greater than 20 and less than 50, which is exactly what they will be doing next. Each number here comes with a set of values to compare it to. Learners circle all numbers in the set that are greater than or less than the given number. For the last one, they circle numbers between two values. Some of these deal with three-digit numbers while others are monetary values including decimals. There is an example to help them get started.
Students identify and write the decimal and fraction represented in a given model. In this fractions and decimals lesson plan, students write the numerical equivalent in decimal and fraction form after observing the teacher create a model with various manipulatives. Students complete a related chart.
Young scholars explore equivalence of fractional tenths and decimals. In this Cyberchase decimals lesson, students repair a railroad track that Hacker continuously sabotages. The tracks are measured in decimal lengths, so the CyberSquad has to add decimals to get the proper lengths needed.
Before jumping into numeral decimals, explore them visually using this base 10 strategy. There is a set of examples to help scholars understand the concept. They color in grids to represent decimals written in a variety of ways. Some include tenths and others hundredths. After completing eight of these, they switch it around and write in decimals to represent already-colored grids. Watch for confusion with zeros here, making sure mathematicians understand that .09 is very different from .9.
Fifth graders solve 35 multiplication equations, all of which have one number with a decimal multiplied by a single-digit number. The decimal numbers all are single-digit with a decimal only to the tenths place, so this is ideal for beginners to this skill. They can reference the three examples, as well. Consider numbering these equations before copying to make review easier.
Estimation is a good way to build and assess a student's number sense. Watch as Sal uses estimation to solve a problem where he must determine how much 'Janelle' ran during a 4-day period. He calculates the exact amount and compares the two answers. This shows both the accuracy and issues involved with solving by estimation.
Mathematicians make representations of fractional parts of a whole and learn that a decimal is another way to represent a fractional part. Understanding is extended by comparing and ordering fractions and decimals on a number line. This high-quality resoucre comes complete with student handouts. Make sure to consider it for addressing Common Core standards in math.
Seventh graders study equivalent representations of the same number. They convert percents to decimals and decimals to percents. They convert fractions to decimals to represent division problems. They convert fractions to percents and decimals to percents. They solve word problems using percents and compare decimals to percents and fractions.
Comparing and rounding decimals are skills that take practice. This presentation does a great job of clearly showing how to do these techniques, and has many slides where learners get practice while being guided through all of the steps. This would be an ideal presentation to use at the beginning of a unit on decimals.
A rational number is a ratio of two integers. Discuss with your class how to convert the rational numbers of repeating decimals to fractions. A good commentary on letting x equal the repeating decimal and multiplying each side of such equation by a power of 10 or 10r, where r is the repeating segment.