UNIT X UNIT 5 | 195 FORMATIVE ASSESSMENT Write: Patterns of place value What pattern is our place value system based on? In the number 580,580,580, how much greater is the 5 in the hundred millions place than the 5 in the hundred thousands place? DIFFERENTIATED INSTRUCTION Scaffold Help students develop their academic vocabulary for place value by providing additional language frames. Then have students use numbers you have already discussed and say descriptive sentences: Our place value system is based on _____ of tens. The glove is _____ the length of the space suit. The space suit is 10 _____ the _____ of the glove. The 9 in the _____ is 100 times greater than the 9 in the _____. Amplify Have students research number systems of ancient civilizations. Ask them to identify the base pattern and create sentences: In the Babylonian system, the number 60 is one time greater than the number 10. PRACTICE B • Reinforce math vocabulary Write 3,434,664.44 on the board. Point to digits in the number and ask questions about relationships. (Sample questions: How much greater in size is the digit on the left than the digit on the right? (10 times) How much smaller is the digit on the right than the digit on the left? (1/10) Have students respond in complete sentences. Then ask volunteers to form questions of their own and have students answer. • Exchange information Once students have completed Activity B, ask volunteers to share their answers. Guide students to discuss and reconcile inconsistencies. ANSWERS 1. digit, value; 2. ten; 3. 10 times; 4. 1/10th C Confirm comprehension of content-area vocabulary Have students cover their books. Ensure students connect place values in word form to the number in standard form. Write 92,955,820 on the board. Have volunteers identify the place value of each digit and ask: What digit is in the ten thousands place? (5) What digit is in the millions place? (2) Then write a number in word form on the board and ask volunteers to identify place values. Have students uncover their books. Read the questions and explain unfamiliar vocabulary. Then have students work in small groups to complete Activity C. ANSWERS 1. 10; 2. 100; 3.100,000; 4. The 5 in the ten thousands place is 10 times greater than the 5 in the thousands place. D Make connections Have students work in groups to create a number and express relationships between two digits. Then give them the opportunity to discuss their opinions on the use of patterns to describe relationships and have volunteers share their ideas with the class. ANSWERS Sample answer: I can use patterns of ten to describe how much greater or lesser a digit is than another digit based on its place value. In the number 58,393,923, the 9 in the ten thousands place is 100 times greater than the 9 in the hundreds place. Practice Book p. 106 Assessment Program p. 90 COMMUNICATE B Complete each sentence with the correct word or words. 1. The placement of a determines its . 2. Our place value system is based on patterns of . 3. A digit to the left is the size of the digit on the right. 4. A digit on the right is the size of the digit on the left. C Earth is 92,955,820 miles from the Sun. Use what you have learned about the patterns in place value to answer the questions below. 1. How many times greater is the 5 in the ten thousands place than the 5 in the thousands place? 2. How many times greater is the 9 in the ten millions place than the 9 in the hundred thousands place? 3. How many times greater is the 2 in the millions place than the 2 in the tens place? 4. What is the relationship between the 5 in the thousands place and the 5 in the ten thousands place? D Making connections Create a large number and explain the relationship between two of the digits in your number. How can you use the patterns of ten in the place value system to describe the relationship between digits? Discuss your ideas in a group. Words to Use digit greater than less than ten value 195 UNIT 5 UNIT 5 / CONNECT TO MATHEMATICS
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