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The purpose of this How Many Do You See is for students to subitize or use grouping strategies to describe the images they see. When students look for ways to see and describe numbers as groups of tens and ones and connect this to two-digit numbers, they look for and make use of the base-ten structure (MP7).
How many do you see?
How do you see them?
The purpose of this activity is for students to apply their place value understanding to add an amount of tens or ones to a two-digit number. Students also use place value reasoning to determine whether a number of tens or ones was added to a two-digit number. Throughout the activity, students explain how they add and how they determined the unknown addend with an emphasis on place value vocabulary (MP3, MP6).
Partner A: Spin to get a starting number.
In this activity, students add a one-digit number or a multiple of 10 and a two-digit number, without composing a ten. The order of the problems encourages students to analyze the difference between adding ones or tens (adding 5 or adding 50), which builds on the previous activity. Students rely on methods that they have learned such as counting on or using known facts to add. In the Activity Synthesis, students may say they notice that only the digit in the ones place of a two-digit number changes when they add a one-digit number to it. While this statement is true about the numbers in these problems, it will not be true when students add in future work. It may be helpful to record this conjecture on chart paper and revisit it again in future lessons. This will give students an opportunity to explain whether or not it is always true.
Find the number that makes each equation true.
Show your thinking using drawings, numbers, or words.
Show your thinking using drawings, numbers, or words.
Show your thinking using drawings, numbers, or words.
Display:
“Today we added tens or ones to two-digit numbers. Mai and Andre added . Mai says the sum is 85. Andre says the sum is 49. Who do you agree with? Why?” (Mai added the 4 to the 4 tens in 45 to get 85. Andre added the 4 to the 5 ones in 45 to get 49. I agree with Andre, because 4 means 4 ones. You have to add the 4 to the ones. Mai added 4 tens which is 40.)