Working with Place Value - Lesson Plan

Credits

Correlation to Standards

Correlation to NCTM Standards

Numbers and Operations, Standard 1.

• Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
• Grades PreK-2. Use multiple models to develop initial understandings of place value and the base-ten number system.
• Grades 3-5. Understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers and decimals.
• Grades 3-5. Recognize equivalent representations for the same number and generate them by decomposing and composing numbers.

Correlation to Utah Standards

• Math 2 - 1.1 Represent whole numbers in a variety of ways.
1. Relate number words to the numerals that represent the quantities 0-100.
2. Represent whole numbers up to 1,000 in groups of hundreds, tens, and ones using base ten models, and write the numeral representing the set.
3. Read and write a three-digit numeral, relating it to a set of objects and a pictorial representation.
4. Write a numeral to 999 in expanded form (e.g., 539 is 5 hundreds, 3 tens, 9 ones or 500+30+9).
5. Identify the place and the value of a given digit in a three-digit numeral (e.g., the two in 281 means 2 hundreds or 200).
6. Demonstrate multiple ways to represent numbers using symbolic representations (e.g., thirty is the same as two groups of 15, the number of pennies in three dimes, or 58-28).
• Math 2 - 1.2 Identify relationships among whole numbers.
1. Identify the number that is one more, one less, ten more, or ten less than any whole number up to 100.
2. Write number sentences using the terms ?greater than,? ?less than,? or ?equal to,? to compare numbers.
3. Order four whole numbers less than 100 from least to greatest and from greatest to least.
4. Use ordinal numbers 1st through 10th.
• Math 3 - 1.1 Represent whole numbers in a variety of ways.
1. Model, read, and write whole numbers up to 10,000 using base ten models, pictures, and symbols.
2. Write a numeral when given the number of thousands, hundreds, tens, and ones.
3. Write a number up to 9,999 in expanded form (e.g., 6,539 is 6 thousands, 5 hundreds, 3 tens, 9 ones or 6000+500+30+9).
4. Identify the place and the value of a given digit in a four-digit numeral.
5. Demonstrate multiple ways to represent numbers using models and symbolic representations (e.g., fifty is the same as two groups of 25, the number of pennies in five dimes, or 75-25).
• Math 3 - 1.2 Identify relationships among whole numbers.
1. Use a variety of strategies to determine whether a number is even or odd.
2. Identify the number that is ten more, ten less, 100 more, or 100 less than any whole number up to 1,000.
3. Compare the relative size of numbers (e.g., 31 is large compared to 4, about half as big as 60, close to 27).
4. Compare whole numbers up to four digits using the symbols <, >, and =.
5. Order and compare whole numbers on a number line.
• Math 4 - 1.1 Represent whole numbers and decimals in a variety of ways.
1. Model, read, and write numerals from tenths to 100,000.
2. Write a whole number up to 99,999 in expanded form (e.g., 76,539 is 7 ten-thousands, 6 one-thousands, 5 hundreds, 3 tens, 9 ones or 70,000+6,000+500+30+9).
3. Identify the place and the value of a given digit in a five-digit numeral, including decimals to tenths.
4. Demonstrate multiple ways to represent numbers by using models and symbolic representations (e.g., 36 is the same as the square of six, three dozen, or 9x4).
5. Identify square numbers using models.
• Math 4 - 1.2 Identify relationships among whole numbers and decimals.
1. Identify the number that is 100 more, 100 less, 1,000 more, or 1,000 less than any whole number up to 10,000.
2. Compare the relative size of numbers (e.g., 100 is small compared to a million, but large compared to 5).
3. Compare whole numbers up to five digits using the symbols <, >, and =.
4. Identify a whole number that is between two given whole numbers.
5. Order and compare whole numbers and decimals to tenths on a number line.
• Math 5 - 1.1 Represent whole numbers and decimals in a variety of ways.
1. Model, read, and write numerals from hundredths to one millions.
2. Write a whole number up to 999,999 in expanded form (e.g., 876,539 = 8 hundred-thousands, 7 ten-thousands, 6 thousands, 5 hundreds, 3 tens, 9 ones or 8x100,000 + 7x10,000 + 6x1,000 + 5x100 + 3x10 + 9).
3. Demonstrate multiple ways to represent whole numbers by using models and symbolic representations (e.g., 108=2x50+8; 108=102 + 8).
• Math 6 - 1.1 Represent whole numbers and decimals in a variety of ways.
2. Read and write numerals from thousandths to one billion.