Mathematics
Grade 6
15 min
Division facts to 12: word problems
Division facts to 12: word problems
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1
Introduction & Learning Objectives
Learning Objectives
Identify keywords and phrases that indicate division in word problems.
Correctly set up division equations from given word problems involving division facts to 12.
Accurately recall and apply division facts up to 12x12 to solve word problems.
Interpret the quotient in the context of the word problem and state the answer with appropriate units.
Use multiplication to check the accuracy of their division solutions.
Solve multi-step word problems that include a division fact to 12 as a core component.
Ever wondered how many cookies each friend gets if you share them equally? 🍪 Or how many teams you can make from a group of players? 🤔
In this lesson, you'll learn how to tackle word problems that require you to use your division facts up to 12. Understa...
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Key Concepts & Vocabulary
TermDefinitionExample
DivisionThe mathematical operation of splitting a number into equal parts or groups.If you have 12 apples and divide them into 3 equal groups, each group has 4 apples.
DividendThe total amount or number that is being divided.In the problem '12 divided by 3', 12 is the dividend.
DivisorThe number by which the dividend is divided; it represents the number of groups or the size of each group.In the problem '12 divided by 3', 3 is the divisor.
QuotientThe result obtained from dividing one number by another.In the problem '12 divided by 3 equals 4', 4 is the quotient.
Division Fact to 12A basic division problem where the divisor and quotient are typically whole numbers up to 12, derived from multiplication facts up to 12x12.84 ÷ 7 = 12 is a d...
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Core Formulas
Basic Division Relationship
$$ \text{Dividend} \div \text{Divisor} = \text{Quotient} $$
This fundamental rule shows how the three main components of a division problem relate to each other. Identify which numbers from the word problem represent the total (dividend), the number of groups or items per group (divisor), and what you need to find (quotient).
Inverse Operation Check
$$ \text{Quotient} \times \text{Divisor} = \text{Dividend} $$
After solving a division problem, you can use multiplication to check your answer. If your quotient multiplied by your divisor equals your original dividend, your answer is correct. This is a powerful way to verify your work.
Word Problem Solving Strategy
1. **Understand:** Read the problem carefully. What is it asking? What informatio...
5 more steps in this tutorial
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Challenging
A group of 11 friends earned $121 washing cars. Before splitting the money, they had to pay back a parent $11 for cleaning supplies. If they split the remaining profit equally, how much money did each friend receive?
A.$12
B.$10
C.$11
D.$110
Challenging
A car travels 96 miles and uses 8 gallons of gasoline. What is the car's fuel efficiency, which is measured in miles per gallon?
A.12 miles per gallon
B.88 miles per gallon
C.768 miles per gallon
D.0.083 miles per gallon
Challenging
A school has 3 classes with 24 students each and 2 classes with 21 students each. All of these students are combined and then divided into 9 equal groups for a science competition. How many students are in each group?
A.12 students
B.108 students
C.9 students
D.8 students
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