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3-N-2-3

Page history last edited by Tashe Harris 6 years, 2 months ago

3.N.2.3 Use strategies and algorithms based on knowledge of place value and equality to fluently add and subtract multi-digit numbers.

In a Nutshell

This objective will add to the students' ability to fluently add and subtract up to 10. As students expand this knowledge with larger whole numbers, they will learn how to fluently add multi-digit numbers. Students will use a variety of strategies to add multi-digit numbers, such as composing and decomposing numbers to assist students in effectively adding multi-digit numbers more efficiently. Students will expand their knowledge of “making ten” to add multiples of 100 and 1000, etc.

Student Actions	Teacher Actions
Demonstrate a deep conceptual understanding by using manipulatives such as, place value map and base ten blocks, to when solving addition and subtraction problems. Develop strategies for problem solving when adding and subtracting multi-digit problems. For example: 379+258 Develop accurate procedural fluency when adding and subtracting multi-digit numbers. Use mathematical reasoning when justifying solutions.	Pose purposeful questions to help students recall prior knowledge and justify their thinking. Questions may include: Which strategy did you use to solve this problem? Is there a different way we can prove the answer? Does the solution seem reasonable? Why or why not? Implement tasks where students use place value manipulatives to demonstrate problem solving, such as an open number line, place value block, and drawing bar models. Facilitate meaningful mathematical discourse when students share their problem solving strategies. Support productive struggle as students explore a variety of methods to prove their answers.
Key Understandings	Misconceptions
Regrouping is not the only way to solve addition and subtraction problems; students can decompose numbers and/or use place value manipulatives to solve problems. Numbers can be decomposed in different ways in order to solve a problem.	There is only one way to solve a given addition or subtraction problem. The steps to find a solution to any given problem are not related to place value. There is only one way to decompose and compose a number.