Mathematics
Grade 3
15 min
Divide by 7
Divide by 7
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Recall all division facts for the number 7 from 7 ÷ 7 to 70 ÷ 7.
Use multiplication facts for 7 to solve related division problems.
Model division by 7 by drawing or creating equal groups.
Solve one-step word problems that require dividing by 7.
Identify the dividend, divisor, and quotient in a division sentence involving 7.
Explain the relationship between dividing by 7 and multiplying by 7 using fact families.
If there are 28 days in February, how many full weeks is that? Let's use division to find out! 🗓️
In this lesson, we will become experts at dividing by 7! We will learn how to use multiplication facts we already know to solve division problems and see how dividing by 7 helps us solve real-world puzzles, like sharing things fairly or planning...
2
Key Concepts & Vocabulary
TermDefinitionExample
DivisionThe action of splitting a larger number into smaller, equal groups.Taking 14 cookies and splitting them into 7 equal groups means each group gets 2 cookies.
DividendThe total number of items you are starting with before you divide.In the problem 42 ÷ 7 = 6, the dividend is 42.
DivisorThe number you are dividing by. It tells you how many equal groups to make.In the problem 42 ÷ 7 = 6, the divisor is 7.
QuotientThe answer to a division problem. It tells you how many items are in each group.In the problem 42 ÷ 7 = 6, the quotient is 6.
Fact FamilyA set of related multiplication and division facts that use the same three numbers.The fact family for 7, 5, and 35 is: 7 × 5 = 35, 5 × 7 = 35, 35 ÷ 7 = 5, and 35 ÷ 5 = 7.
Equal GroupsGroups that all have the exact same...
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Core Formulas
The Division Sentence
Dividend \div Divisor = Quotient
This is how we write a division problem. The total amount comes first, followed by the division symbol, the number of groups, the equals sign, and finally the answer.
The 'Think Multiplication' Rule
Divisor \times ? = Dividend
To solve a division problem like 56 ÷ 7, you can ask yourself, '7 times what number equals 56?'. Knowing your multiplication facts makes division much easier!
Dividing a Number by Itself
7 \div 7 = 1
Any number (except zero) divided by itself is always 1. If you have 7 items and you put them into 7 groups, each group will have exactly one item.
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Challenging
Tom had 20 pencils. His friend gave him 15 more pencils. He then sorted all the pencils into 7 equal piles. How many pencils are in each pile?
A.5
B.7
C.35
D.2
Challenging
If you know that 70 ÷ 7 = 10, what is the fastest way to find the answer to 63 ÷ 7?
A.63 is one group of 7 less than 70, so the answer is one less than 10.
B.You have to start over and count by 7s from the beginning.
C.Add 10 and 7 to get 17.
D.Subtract 7 from 63 seven times.
Challenging
A student, Maya, solved 49 ÷ 7 and got the answer 6. She explained, 'I know 7 × 6 is 42, and 49 is close to 42.' What is the main mistake in Maya's thinking?
A.She used multiplication instead of division.
B.She mixed up the dividend and the divisor.
C.She correctly identified the quotient.
D.She found a related fact but didn't check if it was the exact fact.
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