Decimals Teacher Resources
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You are used to teaching repeating decimals with bar notation that keeps us from writing that number over and over again; now teach what the over and over again represents. This activity allows your mathematicians to explore the infinite decimal and see how different calculations get us close to the original number, but not quite exactly on it. The lesson includes commentary and a solution key to help guide the activity.
Trying to get your class to think of decimals as fractions and vice versa can lead to interesting discussions. After all, we can usually understand quickly that 1/4 is .25 but why is 1/7 not so easy to convert? This activity looks at these problems and tries to draw conclusions about why certain numbers are easier to work with mentally, leading to interesting insights into our number system and powers of ten.
Mr. Khan reminds us that the most important thing to remember when subtracting decimal numbers is to line up the decimal points. He subtracts 3.600 from 9.005, explaining his thinking as he completes the process. Assign the viewing of this tutorial as homework and then have youngsters come to class ready to practice together!
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.
Multiplying decimal numbers isn't that much different than multiplying whole numbers. If you need a little extra support, this video may help. Sal shows how to multiply 23.12 by 0.5. He takes care to line up the decimal points, regroup, and place the decimal in the proper place when he finishes his computation.
Divide decimals. Watch as Sal explains how to divide 1.03075 by 0.25. He provides a step-by-step process that is easy to follow, clear, and well-organized. Note: This would be great for a teacher prepping for a math lesson or as supplemental material to show in class.
Have your young mathematicians complete this practice problem along with Sal. To solve this thinking problem, they will need to multiply decimal numbers in order to determine the cost of 14.6 gallons of gas when gas costs $2.70 per gallon.
Adding decimal numbers is very similar to adding whole numbers. Sal takes you through the process in this video. First he lines up the decimal points. Then he adds each place value, regrouping when necessary.
Sal uses some real life examples to explain percent gain. He also demonstrates how to convert percentages to decimal numbers in order to solve the problems.
Students identify and write the decimal and fraction represented in a given model. In this fractions and decimals lesson, 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.
Students explore decimals. In this number sense lesson plan, students view a demonstration of how to write decimals. Students identify the fractions that the decimals represent.
Learners use video clips to help them understand decimal addition and errors in decimal equations. In this decimal addition lesson, students watch and complete several videos about decimal addition. Learners also complete two assessment activities of decimal addition.
Students divide and multiply decimals. In this algebra lesson plan, students investigate properties of decimals with place holders. They use the correct place holder to multiply and divide decimals.
In this decimal vocabulary learning exercise, students match a set of 27 words to their correct definitions. Answers are included on page 2; a reference web site is given for additional activities.
Students convert between decimals and ratios. In this algebra lesson, students identify the percent of a number by multiplication. They convert between fractions, percents and decimals.
In this math worksheet, students practice division of decimal numbers by one-digit whole number divisors. Students complete 45 examples written both horizontally and vertically. Problems are spaced close together which may make showing calculations difficult.
In this decimals word search worksheet, middle schoolers find a set of 27 decimal vocabulary words in a word search puzzle. A reference web site is given for additional activities.
Check out how a number line can be used to compare decimals to the thousandths place in the second of three videos. The instructor helps avoid the pitfall of thinking that a longer number equals a number of greater value. She then thoroughly walks through several samples, including a word problem, of comparing decimals on the number line.
Learn a new tactic for comparing decimals: the open number line! This is the final video in a five-part series on reading and writing decimals to the thousandths. Beginning with a review of greater than, less than, and equal symbols, the lesson continues with a discussion of how many times greater each place is than the previous place, and how greater numbers are to the left, lesser to the right. Then, multiple examples of decimals are placed on a number line, with a discussion of how to figure out where to place each decimal.
How can two decimals be written differently but still be equal? With zeroes! That's what learners work to understand in the third of five lessons on reading and writing decimals to the thousandths place. Visuals that help learners grasp the concept include dimes versus pennies and tens blocks versus ones blocks and hundreds blocks.