Understanding division with expression.

Standard: 3.OA.C.7

Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

Learning Outcomes

Students will be able to relate division to real-life scenarios, such as sharing or grouping objects equally.
Students will be able to understand division as the process of splitting a number into equal parts.
Students will be able to understand that division “undoes” multiplication (e.g., if $18 \div 3 = 6$ ).
Students will solve division problems involving simple numbers, especially dividing by 1, 2, and 3.
Students will use division to solve practical, real-world problems, such as distributing items among groups or people.

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Division concept:

The division is one of the four basic arithmetic operations. It involves splitting a number (called the dividend) into equal parts, each containing a specified quantity (divisor). The result is called the quotient. In simple terms, division answers the question, "How many times can one number fit into another?"

For example, if you have 12 candies and want to split them equally among 3 friends, each friend would get 4 candies because .

Example 1:

Sarah has 24 candies and wants to share them equally among her 4 friends. How many candies will each friend receive?

Solution:

Set up the division: .
Divide 24 candies by 4 friends.
.

Final Solution: Each friend will receive 6 candies.

Example 2:

If there are 10 apples and you want to divide them equally between 2 baskets, how many apples will go in each basket?

Solution:

Set up the division: $10 \div 2$
Distribute the apples equally: divide 10 apples into 2 groups.
Each group will have 5 apples.

Final solution: 10÷2=5, so each basket will have 5 apples.

Example 3:

A teacher has 30 pencils and wants to distribute them equally to 5 students. How many pencils will each student get?

Solution:

Set up the division: .
Divide 30 pencils by 5 students.
.

Final Solution: Each student will get 6 pencils.

Example 4:

There are 15 cookies, and 3 friends want to share them equally. How many cookies will each friend get?

Solution:

Set up the division: .
Distribute the cookies equally among the 3 friends.
Each friend will receive 5 cookies.

Final Solution: 15÷3=5, so each friend will get 5 cookies.

Example 5:

There are 18 apples, and they need to be grouped into bags with 3 apples in each bag. How many bags are needed?

Solution:

Set up the division: .
Divide 18 apples by 3 apples per bag.
.

Final Solution: 6 bags are needed.

Why it matters:

Division in expression can help students understand equal sharing and grouping, which are essential for problem-solving in everyday situations. These skills are crucial for understanding fractions, ratios, and more complex math concepts. Mastering division enhances logical reasoning and builds a foundation for advanced arithmetic operations.

By practicing dividing numbers, you'll be able to solve real-world problems quickly!

Let’s practice and evaluate your work together by division.

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