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Find the value of each expression mentally.
The purpose of this activity is for students to sort addition expressions, based on their perceived difficulty. They find the values of expressions they feel are less challenging and expressions they feel are more challenging. Then they compare the methods they use for the expressions they solve with their peers. When sharing, students have opportunities to ask questions about the methods and representations their peers use and suggest methods or representations for expressions that their peers may feel are difficult to solve (MP3).
When students sort the expressions, they look for place value structure to determine how they would find the sums (MP7).
Sort the cards into 2 groups with your partner.
Find the value of the sum. Show your thinking, using drawings, numbers, or words.
Find the value of the sum. Show your thinking, using drawings, numbers, or words.
Oh no! Diego spilled paint on his paper. He can’t see all the digits in each of his equations.
“Today you added three-digit numbers, using methods that made sense to you. You shared ways to think about the addends in an expression to choose a method for finding the value of a sum.”
Display and .
“Which of expression might be more challenging? Why?” (In both expressions, a ten and a hundred will be composed, but 498 is close to 500, so it would be easier to add.)
We used place value to add 3-digit numbers. We added hundreds to hundreds, tens to tens, and ones to ones, with base-ten blocks, diagrams, and equations. We learned that we may need to compose a ten, a hundred, or both when adding by place value.
Base-Ten Diagram
Unit Form and Equations
3 hundreds + 5 tens + 8 ones
6 tens + 7 ones
3 hundreds + 11 tens + 15 ones
11 tens = 110
15 ones = 15
Adding by Place