Three Digit Addition with Regrouping - Number Line

"You are funny, (...) YOU ARE FUNNY! Oh! Hey Imani!" "Sorry to interrupt, I just wanted to update you on how many tickets have sold for tonight's comedy show." "First we sold three hundred six, then we sold two hundred sixty-two more!" "So how many have we sold in total?" Let's help Mr. Squeaks and Imani calculate by practicing... Three Digit Addition with Regrouping- Number Line. Number lines are useful tools that help us model equations. We can use an OPEN number line to see the movement while adding an amount during addition. Let's start by adding three hundred six and two hundred sixty-two to see how many tickets they've sold so far. First, draw a line and plot the LARGER number on the left side. Then, write the amount we are adding in EXPANDED FORM. Two hundred sixty-two becomes two hundred plus sixty plus two. Beginning with the hundreds, count forward by two hundreds and plot the answer, (...)five hundred six. Then, move to the tens(...) skip count forward by six tens(..) and plot the answer, five hundred sixty-six. Finally, move to the ones(...) and count forward by two ones, and plot the answer five hundred sixty-eight. Five hundred sixty-eight is the number we end up on (...) so this is our solution! OH! Imani said they just sold one hundred forty-three more tickets MINUTES before the show is supposed to start! Let's use a number line again to help calculate. Begin by drawing our number line and plotting five hundred sixty-eight on the left side, since that's the LARGER number. Next, we write one hundred forty-three in expanded form. What is one hundred forty-three in expanded form? (...) One hundred plus forty plus three. Beginning with the hundreds, count forward by one hundred(...) and plot the answer, (...) six hundred sixty-eight. Then, move to the tens(...) skip count forward by four tens (...) and plot the answer, seven hundred eight. Finally, move to the ones(...) and count forward by three ones, and plot the answer seven hundred eleven. Mr. Squeaks is going to have seven hundred eleven guests at his show! Before we see how he does, let's summarize. Remember (...) to help solve addition equations with regrouping, we can model with an open number line. First, draw the number line and plot the LARGER number on the left side. Second, write the amount being added in expanded form. Third, skip count forward by the hundreds, tens, then ones, plotting the numbers as you go. The final number is the solution. "Have you ever heard of the hen that counts her own eggs? (...) She was a MATH-MA-CHICKEN!"