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The purpose of this Number Talk is to elicit the strategies and understandings students have for adding three-digit numbers. These understandings help students develop fluency and will be helpful later in this lesson when students use strategies based on place value and properties of operations to add within 1,000.
Find the value of each expression mentally.
The purpose of this activity is for students to add within 1,000, using any strategy that makes sense to them. The expressions in this activity give students a chance to try different strategies, such as adding hundreds to hundreds, tens to tens, and ones to ones, reasoning with numbers close to a hundred, and using a variety of representations. Students who use base-ten blocks or draw number-line diagrams choose appropriate tools strategically (MP5).
Find the value of each sum in any way that makes sense to you. Explain or show your reasoning.
The purpose of this activity is for students to see that they can start adding from the greatest or the least place-value unit and still get the same sum. This understanding prepares students to use the standard algorithm for addition, which calls for starting with the ones.
Andre found the value of . His work is shown.
Clare found the value of . Her work is shown.
With your partner, discuss:
“Today we added numbers, using many different strategies and representations. What is your favorite representation to use when you add numbers?” (I like to use base-ten blocks so I can see the numbers I am adding. I like to write equations because it shows me how I am adding the numbers.)
“Does the way you add numbers or the representation you use change, based on the numbers in the problem?” (Yes, I use mental math when I see that a number is close to a hundred. No, I always add hundreds to hundreds, tens to tens, and ones to ones. I always like to draw a number line.)
“Keep all these strategies in mind as we learn new ways to show our reasoning when adding in the upcoming lessons.”