UNIT X 194 | UNIT 5 DIFFERENTIATED INSTRUCTION Scaffold Mathematical relationships can be challenging for students to express if they do not have concrete examples. Write several relationships on the board and ask: How many times greater is the _____than the _____? Have students express the relationship in writing then respond orally. Provide a sentence frame: The _____ is _____ times greater than the _____. Amplify Ask students to express mathematical relationships in other areas such as height or width. Have them locate and pair classroom objects that are greater than others by a pattern of tens. Direct students to create a graph that expresses the relationships then present it to the class. Have the class study the graph and describe the data they see. For example, The desk is 5 times taller than the book. Instructional Routine: Mathematics p. Txxxii Patterns in Place Value A • Activate prior knowledge Say: Place value. What is place value? Cue students by writing 357,100,000 on the board and moving your finger from the lowest to highest value then reversing the movement. Elicit the terms millions, thousands, and hundreds and their positions. • Build background knowledge Read the title and introductory text aloud. Direct students’ attention to the boldface words in the text. Write on the board: 8 – 80 – 800; 10 times – 100 times –1/10 the length. Ask: What do you notice about the numbers? Guide students to understand that the numbers increase or decrease by 10 (s). Say: This is a pattern in place value. • Build academic vocabulary Use the vocabulary routine for digit, times, values, tenth, hundredth, and the measurement phrases _____ inches long, _____ times longer, and the length of _____. • Listen actively Play the audio and direct students to listen closely for the new terms as they follow along. Then replay the audio to build comprehension of the content. • Use a graphic organizer to learn new concepts Tell students to look at the chart and describe it. Answer questions as a class. (10 times, 7 in hundreds place is 10 times greater than 7 in tens place, 100 times) • Check comprehension Check for comprehension of central idea and relevant details. For example, have students identify the purpose(s) of the text. (explain place value system based on pattern of ten, show how it works, and how to express relationships between numbers) Then direct their attention to the illustration and ask: How are patterns of ten shown in the picture? (sample answer: The space suit is 10 times the length of the glove.). Essential Question: How can understanding the relationships between the size of digits help you to understand place value? Use academic language Read aloud the Essential Question and elicit answers. ANSWERS Sample answer: The relationship between the size of digits tells me the place value grows greater or smaller by tens. EXPLORE AND LEARN Patterns in Place Value A Read about patterns in place value. Patterns in Place Value The place of a digit in a number determines its value. Our place value system is based on patterns of ten. Each digit to the left is ten times the value of the digit to its right. Each digit to the right is one-tenth the value of the digit to its left. The space glove is eight (8) inches long. The space suit is eighty (80) inches long. It is 10 times the length of the glove. A rope that connects the astronaut to the shuttle is eight hundred (800) inches long. The rope is 10 times longer than the space suit and 100 times longer than the glove. The glove is 1 10 the length of the space suit. The glove is 1 100 the length of the rope. Look at the place value chart below. How many times greater is the 5 in the ones place than the 5 in the tenths place? It is 10 times greater. What is the relationship between the 7 in the tens place and the 7 in the hundreds place? It is ten times less. How many times greater is the 4 in the millions place than the 4 in the ten thousands place? It is 100 times greater. millions hundred thousands ten thousands thousands hundreds tens ones tenths hundredths 4 5 4 5 7 7 5 5 5 , , . How can understanding the relationships between the size of digits help you to understand place value? ? ESSENTIAL QUESTION UNIT 5 194 CONNECT TO Mathematics UNIT 5 / CONNECT TO MATHEMATICS
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