Writing Division Expressions

New York State Common Core Math Grade 6, Module 4, Lessons 13 & 14

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Lesson 13 and 14 Student Outcomes
Students write numerical expressions in two forms, dividend ÷ divisor and dividend/divisor, and note the relationship between the two.

Lesson 13 Discussion
How can we write or show 8 divided by 2?
When working with algebraic expressions, are any of these expressions or models more efficient than others?
Is 8/2 the same as 2/8?

Example 1:
Write an expression showing 1 ÷ 2 without the use of the division symbol.
From the model what can we determine?

Example 2:
Write an expression showing a ÷ 2 without the use of the division symbol.
From the model what can we determine?
When we write division expressions using the division symbol we represent
How would this look when we write division expressions using a fraction?

Example 3:
a. Write an expression showing a ÷ b without the use of the division symbol.
b. Write an expression for g divided by the quantity h plus 3.
c. Write an expression for the quotient of the quantity m reduced by 3 and 5.

Exercises
Write each expression two ways: using the division symbol and as a fraction.

1. 12 divided by 4.
2. 3 divided by 5.
3. a divided by 4.
4. The quotient of 6 and m.
5. Seven divided by the quantity x plus y.
6. y divided by the quantity x minus 11.
7. The sum of the quantity h and 3 divided by 4.
8. The quotient of the quantity k minus 10 and m.

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Learn the various ways we can express division.

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Lesson 13 Problem Set

1. Rewrite the expressions using the division symbol and as a fraction.
   a. Three divided by 4
   b. The quotient of m and 11
   c. 4 divided by the sum of h and 7
   d. The quantity x minus 3 divided by y

2. Draw a model to show that x÷3 is the same as x/3.

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Lesson 14 Classwork

Example 1:
Fill in the three remaining squares so that all the squares contain equivalent expressions.

Example 2:
Fill in a blank copy of the four boxes using the words dividend and divisor so that it is set up for any example.

Exercises
Fill in the four rectangles, one with the given information and three with equivalent expressions.

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Lesson 14 Problem Set
Complete the missing spaces in each rectangle set.

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