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6th Grade Dividing Fractions Student Guided Notes

Reciprocal, whole-number, and mixed-number fraction division are taught across four fill-in-the-blank guided-notes lessons with a completed answer-key version.
Grades
Grade 6, Middle School
File type
PDF
Preparation
Print ready

Updated Aug 08, 2022

Subject
Math, Fractions
Topic
guided notes, mixed numbers
Resource types
Worksheets & Printables, Worksheets
Preparation
Print ready
Standards
6. NS.A.1

About this resource

What's inside this resource

The 6th Grade Dividing Fractions Student Guided Notes is a great packet to hand out to students during your fractions unit.

This is a great way for students to keep track of their learning.

These notes are detailed with graphic organizers and fill in the blanks.

Answer keys are included.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Divide a whole number by a fraction, and a fraction by a whole number.

  • Divide a fraction by another fraction using the reciprocal method.

  • Divide mixed numbers by converting them to fractions first.

  • Solve real-world word problems that require dividing fractions, such as splitting ingredients or cutting materials into equal pieces.

Teaching tips

  • Project the notes and complete them alongside students, as the file's own 'How to Use' page recommends.

  • Print the pages as booklets or two-to-a-page for interactive notebooks, or as whole pages, depending on classroom format.

  • Use the completed answer-key version (pages 20-35) as the projected teacher copy while students fill in the blank version.

Skills covered

  • Reciprocal method — students find a fraction's reciprocal and use it to convert a division problem into multiplication.

  • Visual fraction modeling — students draw or interpret a model to write a matching division and multiplication equation for a word problem.

  • Mixed-number division — students convert mixed numbers to fractions before dividing.

  • Real-world fraction division — students apply the division method to word problems about cooking, cutting materials, and splitting time.

Good to know

Questions teachers ask about this resource

How are the practice problems structured?

Each lesson pairs a modeled example (with a visual fraction model and equation) with fill-in-the-blank practice problems, including word problems like cutting biscuit dough or splitting fruit for smoothies.

Is a completed version of the notes included?

Yes — pages 20 through 35 repeat the entire packet with every blank filled in, so it can be used as the teacher's projected copy.

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Curriculum

Standards, concepts & topics

Standards

  • 6. NS.A.1 — 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?

Core concepts

  • dividing fractions

  • reciprocal

  • mixed numbers

  • fraction vocabulary

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