Learning Objective/s
Divide three- to four-digit numbers by one- to two-digit divisors with remainder
Success Criteria
The learners are able to:
demonstrate understanding and mastery in dividing three- to four-digit numbers by one- to two-digit divisors with remainder
Discussions
Get Ready ( Opening Problem )
Solve the problem. Explain your answer.
Bastian has less than 30 chocolate coins in a bag. When he counts them by 2s, he gets a remainder of 1. When he counts them by 3s, he gets a remainder of 2. When he counts them by 5s, he gets a remainder of 4. How many chocolate coins does he have?
Think and Understand
There are some instances in real life when division is not exact. That is, there is something leftover after dividing. This ‘leftover’ number is called remainder.
For example, problems such as 9 divided by 2 gives a quotient of 4 and a remainder of 1.
To answer the opening problem, just divide 114 by 5.
Study the next examples:
Example: Divide to find the remainder.
a. 715 ÷ 9 b. 938 ÷ 12 c. 1 705 ÷ 65
Practice
Find N. Then check your answer.
1. 695 ÷ 8 = N _______
2. 761 ÷ N = 9 _______
3. N × 7 = 585 _______
4. 13 × N = 1 022 ________
5. 2 511 ÷ 32 = N ________
Keep Practicing
Solve the following problems:
1. Ana and Tintin helped each other put 167 books in different shelves. After putting the same number of books in 4 shelves, there were some books left. How many books were left?
2. There were 356 books distributed to everybody in our class. If each in our
class received 8 books, how many pupils were there in our class? How many
books were left after the distribution?
Cross Curricular Link
English
Develops communication skills through sharing and discussing stories.
Real Life- Application
Encourage creativity in solving the remainder. For instance, you might decide to have a little game or a mini-competition among the guests to determine who gets the remaining party favor.
Helps students understand that in certain situations, objects cannot be distributed equally, and there may be leftovers. It also allows them to think creatively about what to do with the remainder in a practical context, reinforcing the concept of division beyond simple calculations.
Evaluation