Addition with Larger Numbers

Est. Class Sessions: 4

Summarizing the Lesson

After students have had a chance to play several games, share the strategies they used to make the largest or smallest sums. The game can be played on an ongoing basis and sent home to play with a family member as homework.

Display the Digits Game playing boards shown in Figure 13.

Say:

Jason thought his 4-digit plus 4-digit addition problem would be much harder to do than Romesh's 2-digit plus 2-digit addition problem. Romesh disagreed. What do you think? (Possible response: Simply adding more digits to a number does not automatically make it a more challenging problem to solve. Although Jason's numbers have more digits, there are no trades. On the other hand, Romesh's problem involves multiple trades.)

Assign Questions 1–5 on the Problem Solving pages in the Student Activity Book to student pairs to summarize the ideas of the game and lesson. Students solve four more addition problems in Questions 1–2 and check with a second method or estimation strategy. Question 3 provides an opportunity for students to compare and order numbers.

Ask students to discuss Question 4 in pairs, and then discuss as a class. See Figure 14. The discussion of where to place the 5 in Miguel's partially-filled playing board will give insight into students' understanding of place value. Students may say that they would place the 5 in the tens place to save the spot in the hundreds place for the 8 or 9 that are left to be drawn. Others may say that since the 0, 2, 3, 8 and 9 cards are still left to be drawn, they would put the 5 in the hundreds place because it is more likely that the 0, 2, or 3 card will be drawn than the 8 or 9 card. Either choice is correct as long as students can justify their answers.

In Check-In: Question 5, students analyze Miguel's solution.

Use Check-In: Question 5 on the Problem Solving pages in the Student Activity Book to assess each student's ability to use and apply place value to make connections among representations [E1]; add multidigit numbers using paper-and-pencil methods [E4]; estimate sums [E5]; check for reasonableness [MPE3]; and check the calculations [MPE4].

Use the Digits Game and Workshop in Lesson 6 to provide targeted practice.

Distribute and assign the Addition Quiz Assessment Master. Students will need to refer to the Addition Strategies Menu from the Student Guide Reference section.

Use the Addition Quiz Assessment Master with the Feedback Box to assess students' abilities to use and apply place value concepts [E1]; represent and solve addition problem using base-ten pieces or number lines [E2]; add multidigit numbers using mental math strategies [E3] and paper-and-pencil methods [E4]; estimate sums [E5]; check for reasonableness [MPE3], and show work [MPE5].

Use the Digits Game and Workshop in Lesson 6 to provide targeted practice.

Student Guide:

Student Activity Book: 195 196

Answers