Videos to help Grade 6 students
write numerical expressions in two forms, and
the relationship between the two.

New York State Common Core Math Module 4, Grade 6, Lesson 13 and Lesson 14

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Common Core For Grade 6

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. Learn the various ways we can express division.

**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. 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.**Lesson 14 Problem Set**

Complete the missing spaces in each rectangle set.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

New York State Common Core Math Module 4, Grade 6, Lesson 13 and Lesson 14

Related Topics:

Lesson Plans and Worksheets for Grade 6

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 6

Common Core For Grade 6

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. Learn the various ways we can express division.

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. 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.

Complete the missing spaces in each rectangle set.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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