1. 5 th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Learning Objective Name __________________________ Today, we will represent 1 decimal numbers as fractions. 1 show CFU What are we going to do today? What does represent mean? Activate (or provide) Prior Knowledge 0 0 0 0 0 0 3 0 0 2 2 7 6 1 5 7 3 9 Teacher Student Teacher Student Teacher Student Use the place value chart to properly read the following decimal numbers. CFU Teacher reads a decimal number. Students read a decimal number. Students, you already know how to use place value of numbers to read decimals. Today, reading a decimal aloud will help you represent it as a fraction.

2. 5 th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com CFU Use your knowledge of money to explain why 0.50 is the same as ½. Use your knowledge of money to explain why 0.75 is the same as ¾. In your own words, how are decimal numbers and fractions similar? Decimal numbers and fractions are similar because _________. In your own words, how are decimal numbers and fractions different? Decimal numbers and fractions are different because _________. Concept Development 7 tenths A decimal number and a fraction both represent part of a whole. Decimal numbers and fractions can represent the same amount. Any decimal number can be changed into a fraction by properly reading the decimal number. 0063 07 025 25 hundredths 63 thousandths Same Amount is the same as 0.25 $0.25 is the same as ¼ of a dollar.

3. 5 th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Skill Development/Guided Practice 1) What is the decimal 0.7 written as a fraction? Fraction form: 2) What is the decimal 0.3 written as a fraction? Fraction form: 3) What is the decimal 0.59 written as a fraction? Fraction form: 4) What is the decimal 0.41 written as a fraction? Fraction form: 5) What is the decimal 0.331 written as a fraction? Fraction form: 6) What is the decimal 0.113 written as a fraction? Fraction form: “7 tenths” “3 tenths” “59 hundredths” “41 hundredths” “331 thousandths” “113 thousandths” CFU (#3) How did I/you know how to write the decimal number as a fraction? A decimal number and a fraction both represent part of a whole. Decimal numbers and fractions can represent the same amount. Any decimal number can be changed into a fraction by properly reading the decimal number. Step #1: Identify the digit in the lowest place value. (underline) Step #2: Read the decimal number aloud. Step #3: Write the decimal number as a fraction. Step #4: Reduce the fraction to lowest terms, if needed. Represent decimal numbers as fractions.

4. 5 th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Skill Development/Guided Practice (continued) 7) What is the decimal 0.8 written as a fraction? Fraction form: 8) What is the decimal 0.6 written as a fraction? Fraction form: 9) What is the decimal 0.25 written as a fraction? Fraction form: 10) What is the decimal 0.75 written as a fraction? Fraction form: “8 tenths”“6 tenths” “25 hundredths”“75 hundredths” A decimal number and a fraction both represent part of a whole. Decimal numbers and fractions can represent the same amount. Any decimal number can be changed into a fraction by properly reading the decimal number. Step #1: Identify the digit in the lowest place value. (underline) Step #2: Read the decimal number aloud. Step #3: Write the decimal number as a fraction. Step #4: Reduce the fraction to lowest terms, if needed. Represent decimal numbers as fractions. CFU (#3) How did I/you know how to write the decimal number as a fraction?

5. 5 th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Importance 1. Representing decimal numbers as fractions will help you understand how to convert decimal numbers into a percent. CFU Does anyone else have another reason why it is important to represent decimal numbers as fractions? (pair-share) Why is it important to represent decimal numbers as fractions? You may give me one of my reasons or one of your own. Which reason is most important to you? Why? William has 0.6 of a pound of carrots. What is the fraction of a pound that he has? A decimal number and a fraction both represent part of a whole. Decimal numbers and fractions can represent the same amount. Any decimal number can be changed into a fraction by properly reading the decimal number. Convert the decimal number to a percent. ones tenths hundredths 1. 48 2. Representing decimal numbers as fractions will help you understand the meaning of decimal quantities. 3. Representing decimal numbers as fractions will help you do well on tests.

6. 5 th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 1) What is the decimal 0.9 written as a fraction? Fraction form: 2) What is the decimal 0.13 written as a fraction? Fraction form: “9 tenths” “13 hundredths” A decimal number and a fraction both represent part of a whole. Decimal numbers and fractions can represent the same amount. Any decimal number can be changed into a fraction by properly reading the decimal number. Concept Closure Cassandra got two problems correct out of three. Write a message to Cassandra about what she should have done to get the correct answer. Skill Closure Represent decimal numbers as fractions. Summary Closure What did you learn today about representing decimal numbers as fractions? Day 1 ____________________________________________________________________________________ Day 2 ____________________________________________________________________________________ Step #1: Identify the digit in the lowest place value. (underline) Step #2: Read the decimal number aloud. Step #3: Write the decimal number as a fraction. Step #4: Reduce the fraction to lowest terms, if needed.

7. 5 th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Independent Practice Name __________________________ 1) What is the decimal 0.1 written as a fraction? Fraction form: 2) What is the decimal 0.5 written as a fraction? Fraction form: 3) What is the decimal 0.07 written as a fraction? Fraction form: 4) What is the decimal 0.11 written as a fraction? Fraction form: 5) What is the decimal 0.457 written as a fraction? Fraction form: 6) What is the decimal 0.239 written as a fraction? Fraction form: “1 tenth”“5 tenths” “7 hundredths” “11 hundredths” “457 thousandths”“239 thousandths” A decimal number and a fraction both represent part of a whole. Decimal numbers and fractions can represent the same amount. Any decimal number can be changed into a fraction by properly reading the decimal number. Step #1: Identify the digit in the lowest place value. (underline) Step #2: Read the decimal number aloud. Step #3: Write the decimal number as a fraction. Step #4: Reduce the fraction to lowest terms, if needed. Represent decimal numbers as fractions.

8. 5 th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Independent Practice (continued) 7) What is the decimal 0.4 written as a fraction? Fraction form: 8) What is the decimal 0.6 written as a fraction? Fraction form: 9) What is the decimal 0.15 written as a fraction? Fraction form: 10) What is the decimal 0.36 written as a fraction? Fraction form: “4 tenths” “6 tenths” “15 hundredths”“36 hundredths” A decimal number and a fraction both represent part of a whole. Decimal numbers and fractions can represent the same amount. Any decimal number can be changed into a fraction by properly reading the decimal number. Step #1: Identify the digit in the lowest place value. (underline) Step #2: Read the decimal number aloud. Step #3: Write the decimal number as a fraction. Step #4: Reduce the fraction to lowest terms, if needed. Represent decimal numbers as fractions.

9. 5 th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Periodic Review 1 1) What is the decimal 0.16 written as a fraction? Fraction form: 2) What is the decimal 0.05 written as a fraction? Fraction form: 3) What is the decimal 0.147 written as a fraction? Fraction form: 4) What is the decimal 0.2 written as a fraction? Fraction form: 5) What is the decimal 0.08 written as a fraction? Fraction form: 6) What is the decimal 0.6 written as a fraction? Fraction form: 7) What is the decimal 0.319 written as a fraction? Fraction form: 8) What is the decimal 0.35 written as a fraction? Fraction form: “16 hundredths”“5 hundredths” “147 thousandths” “2 tenths” “8 hundredths”“6 tenths” “319 thousandths” “35 hundredths” Name __________________________ A decimal number and a fraction both represent part of a whole. Decimal numbers and fractions can represent the same amount. Any decimal number can be changed into a fraction by properly reading the decimal number. Step #1: Identify the digit in the lowest place value. (underline) Step #2: Read the decimal number aloud. Step #3: Write the decimal number as a fraction. Step #4: Reduce the fraction to lowest terms, if needed. Represent decimal numbers as fractions.

10. 5 th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Periodic Review 2 1) What is the decimal 0.29 written as a fraction? Fraction form: 2) What is the decimal 0.3 written as a fraction? Fraction form: 3) What is the decimal 0.06 written as a fraction? Fraction form: 4) What is the decimal 0.173 written as a fraction? Fraction form: 5) What is the decimal 0.45 written as a fraction? Fraction form: 6) What is the decimal 0.24 written as a fraction? Fraction form: 7) What is the decimal 0.7 written as a fraction? Fraction form: 8) What is the decimal 0.37 written as a fraction? Fraction form: “29 hundredths” “3 tenths” “6 hundredths” “173 thousandths” “45 hundredths” “24 hundredths” “7 tenths” “37 hundredths” Name __________________________ A decimal number and a fraction both represent part of a whole. Decimal numbers and fractions can represent the same amount. Any decimal number can be changed into a fraction by properly reading the decimal number. Step #1: Identify the digit in the lowest place value. (underline) Step #2: Read the decimal number aloud. Step #3: Write the decimal number as a fraction. Step #4: Reduce the fraction to lowest terms, if needed. Represent decimal numbers as fractions.

11. 5 th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Periodic Review 3 1) What is the decimal 0.15 written as a fraction? Fraction form: 2) What is the decimal 0.04 written as a fraction? Fraction form: 3) What is the decimal 0.13 written as a fraction? Fraction form: 4) What is the decimal 0.155 written as a fraction? Fraction form: 5) What is the decimal 0.009 written as a fraction? Fraction form: 6) What is the decimal 0.28 written as a fraction? Fraction form: 7) What is the decimal 0.3 written as a fraction? Fraction form: 8) What is the decimal 0.8 written as a fraction? Fraction form: “15 hundredths” “4 hundredths” “13 hundredths”“155 thousandths” “9 thousandths” “28 hundredths” “3 tenths” “8 tenths” Name __________________________ Step #1: Identify the digit in the lowest place value. (underline) Step #2: Read the decimal number aloud. Step #3: Write the decimal number as a fraction. Step #4: Reduce the fraction to lowest terms, if needed. A decimal number and a fraction both represent part of a whole. Decimal numbers and fractions can represent the same amount. Any decimal number can be changed into a fraction by properly reading the decimal number. Represent decimal numbers as fractions.

12. 5 th Grade Number Sense 1.2 (5Q) Interpret percents as a part of a hundred; find decimal and percent equivalents for common fractions and explain why they represent the same value; compute a given percent of a whole number. Lesson to be used by EDI-trained teachers only. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com Blank Page