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Grade 6 Fractions Lesson 8 – Operations with Mixed Numbers
Grade 6 Fractions Lesson 8 – Operations with Mixed Numbers
Grade 6 Fractions Lesson 8 – Operations with Mixed Numbers
Grade 6 Fractions Lesson 8 – Operations with Mixed Numbers
Grade 6 Fractions Lesson 8 – Operations with Mixed Numbers
Grade 6 Fractions Lesson 8 – Operations with Mixed Numbers
Grade 6 Fractions Lesson 8 – Operations with Mixed Numbers
Grade 6 Fractions Lesson 8 – Operations with Mixed Numbers
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Description

This is a complete lesson for learning how to teach your students how to add, subtract, multiply and divide mixed numbers. These problems combine skills your students should already know; converting between mixed numbers and improper fractions and adding, subtracting, multiplying and dividing fractions.

For example, consider the problem 3 3⁄4 + 2 2⁄5. That looks pretty challenging! The first step is to convert the mixed numbers to improper fractions, so that the problem becomes 15⁄4 + 12⁄5. Next, since this is an addition problem, convert the fractions to have a common denominator: 75⁄20 + 48⁄20. Add the fractions: 75⁄20 + 48⁄20 = 123/20. Convert that back to a mixed number: 123/20 = 6 3⁄20.

This lesson includes a set of Guided Notes for understanding mixed numbers and improper fractions, two check-ins using Google Forms, a review package, and a matching activity.

The review package can be used for in-class practice or for homework. I recommend using the Guided Notes first to show students how to do these problems. The students can then use the check-ins and the review package to practice. The review package includes several different tools for practicing these problems.

For the Guided Notes, the students will use copies without the terms filled in, and you can teach using the Answers/Completed Work document. The matching activity is useful for enrichment or as an extra opportunity to practice.

Everything but the check-ins and part of the review package can be used as printouts or online through Google Classroom. The check-ins are only online. Part of the review package is only usable through print.

If you like this lesson, please consider my other 6th grade lessons covering all aspects of Common Core standards for Grade 6 math.

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Grade 6 Fractions Lesson 8 – Operations with Mixed Numbers

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Grades
6th, Adult Education
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Teaching Duration
3 days

Description

This is a complete lesson for learning how to teach your students how to add, subtract, multiply and divide mixed numbers. These problems combine skills your students should already know; converting between mixed numbers and improper fractions and adding, subtracting, multiplying and dividing fractions.

For example, consider the problem 3 3⁄4 + 2 2⁄5. That looks pretty challenging! The first step is to convert the mixed numbers to improper fractions, so that the problem becomes 15⁄4 + 12⁄5. Next, since this is an addition problem, convert the fractions to have a common denominator: 75⁄20 + 48⁄20. Add the fractions: 75⁄20 + 48⁄20 = 123/20. Convert that back to a mixed number: 123/20 = 6 3⁄20.

This lesson includes a set of Guided Notes for understanding mixed numbers and improper fractions, two check-ins using Google Forms, a review package, and a matching activity.

The review package can be used for in-class practice or for homework. I recommend using the Guided Notes first to show students how to do these problems. The students can then use the check-ins and the review package to practice. The review package includes several different tools for practicing these problems.

For the Guided Notes, the students will use copies without the terms filled in, and you can teach using the Answers/Completed Work document. The matching activity is useful for enrichment or as an extra opportunity to practice.

Everything but the check-ins and part of the review package can be used as printouts or online through Google Classroom. The check-ins are only online. Part of the review package is only usable through print.

If you like this lesson, please consider my other 6th grade lessons covering all aspects of Common Core standards for Grade 6 math.

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

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Standards

to see state-specific standards (only available in the US).
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (𝘢/𝘣) ÷ (𝘤/𝘥) = 𝘢𝘥/𝘣𝘤.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?
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