Mathematics
Grade 3
15 min
Divide by 6
Divide by 6
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Relate division by 6 to its inverse multiplication fact.
Solve division problems with a divisor of 6 by using the strategy of repeated subtraction.
Model 'divide by 6' problems by drawing equal groups.
Solve one-step word problems that require dividing by 6.
Fluently recall division facts for the number 6 up to 60 ÷ 6.
Correctly identify the dividend, divisor, and quotient in a division equation involving 6.
If you have 18 delicious cookies to share equally with 5 friends and yourself, how many cookies does each person get? 🍪 Let's find out!
In this lesson, we will learn all about dividing by 6! This means we will practice sharing a total amount into 6 equal groups. Knowing how to divide by 6 helps us solve problems quickly and fairly.
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Key Concepts & Vocabulary
TermDefinitionExample
DivisionThe action of splitting a larger number into smaller, equal groups.Taking 12 pencils and splitting them into 6 groups of 2 pencils each.
DividendThe total number of items you are starting with before you divide.In 36 ÷ 6 = 6, the dividend is 36.
DivisorThe number you are dividing by. In this lesson, the divisor is always 6.In 36 ÷ 6 = 6, the divisor is 6.
QuotientThe answer to a division problem. It tells you how many are in each group.In 36 ÷ 6 = 6, the quotient is 6.
Fact FamilyA set of related multiplication and division facts that use the same three numbers.The numbers 4, 6, and 24 make a fact family: 4 × 6 = 24, 6 × 4 = 24, 24 ÷ 6 = 4, 24 ÷ 4 = 6.
Equal GroupsGroups that all have the exact same number of items.If you divide 18 by 6, you get 3 equal group...
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Core Formulas
The Multiplication Connection
a \div 6 = b \quad \text{is related to} \quad 6 \times b = a
Division is the opposite (or inverse) of multiplication. If you're stuck on a division problem like 48 ÷ 6, you can ask yourself, 'What number times 6 equals 48?'
The Repeated Subtraction Rule
a - 6 - 6 - 6 ... = 0
You can solve a division problem by starting with the dividend and subtracting 6 over and over again until you reach zero. The number of times you subtract 6 is the quotient.
The Even Number Clue
\text{Dividend must be an even number}
To be divided by 6 with no remainder, a number must be even (ending in 0, 2, 4, 6, or 8). If you see an odd number, you know it won't divide evenly by 6.
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Challenging
A number is divided by 6, and the answer is 7. What is that number?
A.13
B.1
C.42
D.48
Challenging
Ben had 30 stickers. He gave 6 to his brother. He then divided the rest of the stickers equally among himself and 5 friends. How many stickers did each person get?
A.24
B.5
C.4
D.6
Challenging
Maya tried to solve 54 ÷ 6 using repeated subtraction. She subtracted 6 from 54 eight times and said the answer was 8 with 6 left over. What was her mistake?
A.She should have added 6 instead of subtracting.
B.She subtracted one too few times; the answer is 9.
C.She subtracted one too many times; the answer is 7.
D.She should have started with the number 6 and subtracted 54.
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