Slide 1 / 192 Slide 2 / 192 5th Grade Decimal Concepts 2015-11-16 www.njctl.org Slide 3 / 192 Slide 3 (Answer) / 192 Table of Contents Table of Contents Click on a topic Click on a topic to go to that section. to go to that section. What is a Decimal? What is a Decimal? Identify Place Values Identify Place Values Vocabulary Words are bolded Teacher Notes in the presentation. The text Read and Write Decimals Read and Write Decimals box the word is in is then Compare & Order Decimals Compare & Order Decimals linked to the page at the end of the presentation with the Round Numbers to Designated Place Values Round Numbers to Designated Place Values word defined on it. Glossary & Standards Glossary & Standards [This object is a pull tab] Slide 4 / 192 Slide 5 / 192 Decimals What is a decimal number ? What is a Decimal? A Decimal Number ( based on the number 10, tenth parts, and powers of ten ) contains a Decimal Point. Click to find out! Return to Table of Contents
Slide 6 / 192 Slide 7 / 192 Where do we see decimals being used? Why do we need decimals? Click on the photo to find out! Decimals are used in situations when more precision In baseball, batting is needed. In races to show speed. averages are in decimals. Miguel The women's record for the Cabrera has a For instance, when two people cross fastest 100 meter dash is batting average of the finish line, someone will win by a 10.88 seconds. 0.387 fraction of a second. We show those fractions as decimals. Music Stations With money to that show their show dollars radio frequency and change. If you are spending money, many in decimals. This shows things are not worth an exact dollar $6.91. amount. And many other places! Slide 7 (Answer) / 192 Slide 8 / 192 Decimals on a Number Line Why do we need decimals? Lets take a look at decimals on a number line. MP.6 - Attend to precision. Teacher Notes Click on the picture below for an interactive number line. Ask the students to think, pair, share to Decimals are used in situations when more precision come up with another example of when a is needed. more precise number is needed. Math Practice For instance, when two people cross MP.7 - Look for and make use of the finish line, someone will win by a structure. fraction of a second. We show those Ask them to compare that with a situation fractions as decimals. that does not require as much precision. Ask, "Why is it important to round _____ decimal place in this situation/problem? [This object is a pull tab] If you are spending money, many things are not worth an exact dollar amount. Slide 9 / 192 Slide 10 / 192 Place Value Chart Our place value chart is almost like a mirror image, with a line between the ones place and the decimal point. Identify Place Values . ones tens tenths thousands hundreds hundredths thousandths Return to Table of Contents Everything to the left ends in "s" and everything to the right ends in "ths"
Slide 10 (Answer) / 192 Slide 11 / 192 Place Value Chart Place Value Our place value chart is almost like a mirror image, with Chart a line between the ones place and the decimal point. The words: place value Teacher Notes tenths hundredths . thousandths ones tens tenths thousands hundreds hundredths thousandths are linked to a vocabulary page in the glossary. [This object is a pull tab] Everything to the left ends in "s" and everything to the right ends in "ths" Slide 11 (Answer) / 192 Slide 12 / 192 Place 1 What digit is in the thousandths place? Value This chart can be printed for student use. Chart 987,654.0123 Use this chart to practice Teacher Notes identifying place value of digits in a decimal number. If needed, this chart can be used to practice reading and A 7 writing decimal numbers in standard, word and expanded B 2 forms. [This object is a pull tab] C 3 D 8 Slide 12 (Answer) / 192 Slide 13 / 192 1 What digit is in the thousandths place? 2 What digit is in the tenths place? 987,654.0123 987,654.0123 Answer B A 1 A 7 B 4 B 2 [This object is a pull tab] C 0 C 3 D 5 D 8
Slide 13 (Answer) / 192 Slide 14 / 192 2 What digit is in the tenths place? 3 What digit is in the hundredths place? 987,654.0123 987,654.0123 Answer C A A 5 1 B B 4 0 [This object is a pull tab] C 0 C 1 D 2 D 5 Slide 14 (Answer) / 192 Slide 15 / 192 Tenths 3 What digit is in the hundredths place? 987,654.0123 Yellow Rod Answer How many yellow rods C are needed to fill the blue block? A 5 10 B click 0 What is the value of a yellow rod? one-tenth (0.1) C 1 [This object is a pull tab] click D 2 Blue Block One Unit (1) Slide 15 (Answer) / 192 Slide 16 / 192 Tenths Money and Decimals Think of it in terms of money. Yellow Rod Teacher Notes Use this page for students How many dimes does it take to make a dollar? How many yellow rods to gain an understanding are needed to fill the blue block? _________ dimes = 1 dollar of what tenths and 10 hundredths look like. click What is the value of a yellow rod? one-tenth (0.1) click [This object is a pull tab] Blue Block One Unit (1) So, a dime is one tenth of a whole dollar.
Slide 17 / 192 Slide 17 (Answer) / 192 Hundredths Hundredths Yellow Rod Yellow Rod Red Block Red Block Use this page for students Teacher Notes How many red blocks are needed to fill the blue How many red blocks are needed to fill the blue to gain an understanding block? 100 block? 100 of what tenths and click click (Hint: Fill a yellow rod with red blocks) (Hint: Fill a yellow rod with red blocks) hundredths look like. What is the value of a red block? What is the value of a red block? one-hundredth (0.01) one-hundredth (0.01) [This object is a pull tab] click click Blue Block Blue Block One Unit One Unit (1) (1) Slide 18 / 192 Slide 19 / 192 Money and Decimals Money and Decimals So a dollar is a whole. A dime is a tenth. Think of it in terms of money. And a penny is a hundredth. . one tenth How many pennies does it take to make a dollar? hundredth _________ pennies = 1 dollar What if we had a coin that was smaller than a penny? How many times smaller than a penny do you think it would be? So, a penny is one hundredth of a whole dollar. What would you call it? Slide 20 / 192 Slide 21 / 192 Representing Units Representing Units 3 yellow rods = 0.3 three tenths 23 red blocks = 0.23 twenty three hundredths Blue = One Unit Blue = One Unit
Slide 22 / 192 Slide 22 (Answer) / 192 Interactive Number Grid - Use to Show Decimals Interactive Number Grid - Use to Show Decimals Click to Go to Interactive Site Click to Go to Interactive Site This site requires Teacher Notes Flash 5 Plugin [This object is a pull tab] Slide 23 / 192 Slide 23 (Answer) / 192 4 If the square equals one whole, what does the shaded 4 If the square equals one whole, what does the shaded area represent? area represent? Answer .33 [This object is a pull tab] Slide 24 / 192 Slide 24 (Answer) / 192 5 If the square equals one whole, what does the shaded 5 If the square equals one whole, what does the shaded area represent? area represent? Answer .45 [This object is a pull tab]
Slide 25 / 192 Slide 25 (Answer) / 192 6 If the square equals one whole, what does the shaded 6 If the square equals one whole, what does the shaded area represent? area represent? Answer .62 [This object is a pull tab] Slide 26 / 192 Slide 26 (Answer) / 192 7 If the square equals one whole, what does the shaded 7 If the square equals one whole, what does the shaded area represent? area represent? Answer .4 [This object is a pull tab] Slide 27 / 192 Slide 27 (Answer) / 192 8 If the square equals one whole, what does the shaded 8 If the square equals one whole, what does the shaded area represent? area represent? Answer .7 [This object is a pull tab]
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