Videos and solutions to help Grade 6 students learn how to use visual models such as fraction bars, number lines, and area models to show the quotient of whole
numbers and fractions.

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Common Core For Grade 6

### New York State Common Core Math Grade 6, Module 2, Lesson 1

Lesson 1 Summary

• students use visual models such as fraction bars, number lines, and area models to show the quotient of whole numbers and fractions. Students use the models to show the connection between those models and the multiplication of fractions.

• Students understand the difference between a whole number being divided by a fraction and a fraction being divided by a whole number.

Lesson 1 Classwork

Lesson 1 Opening Exercise

Draw a model of the fraction 5/6.

Describe what the fraction means.

A fraction shows division of the numerator by the denominator. In other words, a fraction shows a part being divided by a whole. Fractions are numbers; therefore, they can be added, subtracted, multiplied, or divided.

Example 1

Maria has 3/4 lb. of trail mix. She needs to share it equally among 6 friends. How much will each friend be given? What is this question asking us to do?

How can this question be modeled?

Example 2

Imagine that you have 2/5 of a cup of frosting that you need to share equally between three desserts. How would we write this as a division question?

How can we show that we are dividing two-fifths into three equal parts?

Exercises 1–5

For each question below, rewrite the problem as a multiplication question. Then model the answer.

1. 1/2 ÷ 6

2. 1/3 ÷ 3

3. 1/5 ÷ 4

4. 3/5 ÷ 4

5. 2/3 ÷ 4

Lesson 1 Exit Ticket

Find the quotient using a model.

1. 2/3 ÷ 3

2. 5/6 ÷ 2**Problem Set**

Rewrite each problem as a multiplication question. Model the answer.

1. 2/5 ÷ 5

2. 3/4 ÷ 2

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.

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

• students use visual models such as fraction bars, number lines, and area models to show the quotient of whole numbers and fractions. Students use the models to show the connection between those models and the multiplication of fractions.

• Students understand the difference between a whole number being divided by a fraction and a fraction being divided by a whole number.

Lesson 1 Classwork

Lesson 1 Opening Exercise

Draw a model of the fraction 5/6.

Describe what the fraction means.

A fraction shows division of the numerator by the denominator. In other words, a fraction shows a part being divided by a whole. Fractions are numbers; therefore, they can be added, subtracted, multiplied, or divided.

Example 1

Maria has 3/4 lb. of trail mix. She needs to share it equally among 6 friends. How much will each friend be given? What is this question asking us to do?

How can this question be modeled?

Example 2

Imagine that you have 2/5 of a cup of frosting that you need to share equally between three desserts. How would we write this as a division question?

How can we show that we are dividing two-fifths into three equal parts?

Exercises 1–5

For each question below, rewrite the problem as a multiplication question. Then model the answer.

1. 1/2 ÷ 6

2. 1/3 ÷ 3

3. 1/5 ÷ 4

4. 3/5 ÷ 4

5. 2/3 ÷ 4

Find the quotient using a model.

1. 2/3 ÷ 3

2. 5/6 ÷ 2

Rewrite each problem as a multiplication question. Model the answer.

1. 2/5 ÷ 5

2. 3/4 ÷ 2

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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