What do we call the number being divided?
Dividend
What do we call the number we divide by?
Divisor
What do we call the result of division (ignoring remainder)?
Quotient
What do we call what is left after division?
Remainder
In division, the remainder must always be ______ than the divisor.
Smaller
15 ÷ 4 = ?
3 R 3
22 ÷ 5 = ?
4 R 2
17 ÷ 3 = ?
5 R 2
What is 13 ÷ 4 in remainder form?
3 R 1
What does a remainder represent in real life?
Leftover / ungrouped items
If divisor is 6, what is the largest possible remainder?
5
Can remainder ever equal the divisor? Why or why not?
No, because it must be smaller
25 ÷ 6 = ?
4 R 1
If remainder is 0, what does that mean?
Division is exact
What is 30 ÷ 7?
4 R 2
Today is Monday. What day will it be in 10 days?
Thursday
23 ÷ 5 = ? What does the remainder represent?
4 R 3; leftover items
A pattern repeats every 6 days. What does a remainder tell you?
Position in the cycle
45 ÷ 7 = ? What does the remainder mean in calendar problems?
Days to move forward in cycle
Why are remainders useful in patterns?
They show position in repeating cycles
Today is Friday. What day is it after 80 days?
Monday
How many numbers divided by 6 have quotient = remainder?
5 numbers
Find numbers where quotient = remainder when dividing by 5. List pattern idea.
6, 12, 18, 24, 30, 36, 42, 48 (pattern: 5×n + n)
80 ÷ 7 = 11 R 3. What does “3” mean?
Move forward 3 days in cycle
Explain why division helps solve pattern problems.
Because it breaks repetition into cycles and shows position using remainder