Vocabulary
What is the divisor in the problem:
1,965 / 36 =54 R 21
36
9,073 / 48 =
189 R 1
What is the relationship between the divisor and the remainder?
The remainder can NEVER be greater than the divisor.
A bakery made 7,325 cookies. The cookies are placed into bags with 13 cookies in each bag. How many bags did the bakery make?
The bakery made 564 bags of cookies.
What is the dividend in the problem: 42,563 / 65 =654 R 53
42,563
4,865 / 15=
324 r 5
A student solves:
1,245 ÷ 24 = 50 R 45
The student says, “I divided 1,245 by 24 and had 45 left over.”
What is the student's error? What is the correct quotient?
Error: The remainder cannot be greater than the divisor. Since 45 is greater than 24, the student should divide one more time.
Correct answer: 51 R21
A warehouse has 3,456 boxes that need to be loaded equally onto 24 trucks. Each truck must receive the same number of boxes. How many boxes will be loaded onto each truck?
144 boxes will be loaded on each truck.
What is a quotient?
The answer to a division problem
34,654 / 62 =
558 r 58
1,536 ÷ 32 = 58
Their work shows:
What is the student's error? What is the correct quotient?
Error: the student should have put a 4 instead of a 5 in their answer
Correct answer: 48
A company has 5,832 books to distribute equally among 27 schools. Each school will receive the same number of books. After the books are distributed, each school places its books equally onto 9 shelves. How many books will be placed on each shelf at each school?
24 books will be placed on each shelf at each school
What are the steps for standard algorithm?
Divide, Multiply, Subtract, Bring down
95,603 / 27
3,540 R 23
A student solves:
6,754 ÷ 36 = 185 R94
The student explains, “36 × 185 = 6,660. I subtracted 6,660 from 6,754 and got 94, so my remainder is 94.”
What is the student's error? And what is the correct quotient?
Error: the remainder can’t be greater than the divisor
Correct answer: 187 R 22
Ms. Riddle needs to pack up books for her future classroom. She can fit 37 books in each box. If she has 573 books, how many boxes does she need?
Ms. Riddle will need 16 boxes to transport her books
What are 2 out of 3 strategies for solving a division problem?
Standard Algorithm, Box Method, Partial Quotients
45,328 /32
1,416 R 16
A student solves:
2,856 ÷ 34 = 74
Their work shows:
What error did the student make? What is the correct quotient?
Error: 34 can go into 285, 8 times not 7
Correct answer: 84
Jardine is going on a school wide field trip, they need to make sure they get enough buses to transport each student. There are 1,049 students and each bus holds 38 kids. How many buses do they need to reserve?
They need to reserve 28 buses