Unit 3-Use Place Value Strategies to Add & Subtract Whole Numbers
Cluster 3-Use Place Value Strategies to Add and Subtract Whole Numbers
In this cluster students extend their place value understanding from previous grades to include numbers up to the hundred thousands place by building on the work they have already done this year with multiplicative comparison. They then use this place value knowledge to add and subtract numbers within 100,000 using the standard algorithm in the context of one and two step word problems.
Essential Understandings:
1. In multi-digit whole numbers that a digit in the one place is 10 times greater than the digit to the right. (4.NBT.1)
2. Comparing numbers is based on values of digits in each place value. (4.NBT.7)
3. The standard algorithm for addition and subtraction is derived from place value reasoning. (4.NBT.4)
Learning Objectives:
4.NBT.1 Explain that in a multi-digit whole number, a digit in one place represents 10 times as much as it represents in the place to its right, up to the ten-thousands place.
4.NBT.2 Read and write multi-digit numbers up to and including 100,000 using numerals, number names, and expanded form.
4.NBT.7 Compare two multi-digit numbers up to and including 100,000 based on the values of the digits in each place, using >, =, <, symbols to record the results of the comparisons.
4.NBT.4 Add and subtract multi-digit whole numbers up to and including 100,000 using the standard algorithm with place value understanding.
4.OA.3 Solve two-step word problems involving the four operations with whole numbers (addition/subtraction only). Use estimation strategies to assess the reasonableness of answers. Represent problems with equations with a letter standing for the unknown quantity.
In this cluster students extend their place value understanding from previous grades to include numbers up to the hundred thousands place by building on the work they have already done this year with multiplicative comparison. They then use this place value knowledge to add and subtract numbers within 100,000 using the standard algorithm in the context of one and two step word problems.
Essential Understandings:
1. In multi-digit whole numbers that a digit in the one place is 10 times greater than the digit to the right. (4.NBT.1)
2. Comparing numbers is based on values of digits in each place value. (4.NBT.7)
3. The standard algorithm for addition and subtraction is derived from place value reasoning. (4.NBT.4)
Learning Objectives:
4.NBT.1 Explain that in a multi-digit whole number, a digit in one place represents 10 times as much as it represents in the place to its right, up to the ten-thousands place.
4.NBT.2 Read and write multi-digit numbers up to and including 100,000 using numerals, number names, and expanded form.
4.NBT.7 Compare two multi-digit numbers up to and including 100,000 based on the values of the digits in each place, using >, =, <, symbols to record the results of the comparisons.
4.NBT.4 Add and subtract multi-digit whole numbers up to and including 100,000 using the standard algorithm with place value understanding.
4.OA.3 Solve two-step word problems involving the four operations with whole numbers (addition/subtraction only). Use estimation strategies to assess the reasonableness of answers. Represent problems with equations with a letter standing for the unknown quantity.
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