Illustrative Math Alignment: Grade 6 Unit 1

Dividing Fractions

Lesson 6: Using Diagrams to Find the Number of Groups

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Nodes
Math Example: Fraction Operations--Dividing Fractions: Example 14	Dividing Fractions: Example 14 Topic Fraction Operations Description This example focuses on the division of fractions by utilizing the reciprocal of the divisor. The process is visually depicted, allowing learners to follow the transformation from division to multiplication. The result is a mixed number. Essential skills include understanding the concept of reciprocals, executing multiplication of fractions, and simplifying the final result. This example aids in reinforcing the understanding of how dividing fractions is essentially multiplying by the inverse, a critical concept in fraction arithmetic.	Fractions and Mixed Numbers
Math Example: Fraction Operations--Dividing Fractions: Example 15	Dividing Fractions: Example 15 Topic Fraction Operations Description This example illustrates the division of fractions by converting the operation into multiplication using the reciprocal of the divisor. The image provides a clear step-by-step guide, emphasizing the importance of reciprocal multiplication. The result is a mixed number. Skills involved include recognizing and applying reciprocal relationships, performing multiplication, and simplifying fractions. This example is crucial for understanding the fundamental principle that dividing by a fraction is equivalent to multiplying by its reciprocal, a key concept in fraction operations.	Fractions and Mixed Numbers
Math Example: Fraction Operations--Dividing Fractions: Example 15	Dividing Fractions: Example 15 Topic Fraction Operations Description This example illustrates the division of fractions by converting the operation into multiplication using the reciprocal of the divisor. The image provides a clear step-by-step guide, emphasizing the importance of reciprocal multiplication. The result is a mixed number. Skills involved include recognizing and applying reciprocal relationships, performing multiplication, and simplifying fractions. This example is crucial for understanding the fundamental principle that dividing by a fraction is equivalent to multiplying by its reciprocal, a key concept in fraction operations.	Fractions and Mixed Numbers
Math Example: Fraction Operations--Dividing Fractions: Example 15	Dividing Fractions: Example 15 Topic Fraction Operations Description This example illustrates the division of fractions by converting the operation into multiplication using the reciprocal of the divisor. The image provides a clear step-by-step guide, emphasizing the importance of reciprocal multiplication. The result is a mixed number. Skills involved include recognizing and applying reciprocal relationships, performing multiplication, and simplifying fractions. This example is crucial for understanding the fundamental principle that dividing by a fraction is equivalent to multiplying by its reciprocal, a key concept in fraction operations.	Fractions and Mixed Numbers
Math Example: Fraction Operations--Dividing Fractions: Example 15	Dividing Fractions: Example 15 Topic Fraction Operations Description This example illustrates the division of fractions by converting the operation into multiplication using the reciprocal of the divisor. The image provides a clear step-by-step guide, emphasizing the importance of reciprocal multiplication. The result is a mixed number. Skills involved include recognizing and applying reciprocal relationships, performing multiplication, and simplifying fractions. This example is crucial for understanding the fundamental principle that dividing by a fraction is equivalent to multiplying by its reciprocal, a key concept in fraction operations.	Fractions and Mixed Numbers
Math Example: Fraction Operations--Dividing Fractions: Example 15	Dividing Fractions: Example 15 Topic Fraction Operations Description This example illustrates the division of fractions by converting the operation into multiplication using the reciprocal of the divisor. The image provides a clear step-by-step guide, emphasizing the importance of reciprocal multiplication. The result is a mixed number. Skills involved include recognizing and applying reciprocal relationships, performing multiplication, and simplifying fractions. This example is crucial for understanding the fundamental principle that dividing by a fraction is equivalent to multiplying by its reciprocal, a key concept in fraction operations.	Fractions and Mixed Numbers
Math Clip Art--Fraction Concepts--Circular Fraction Model, Eighths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Eighths Topic Fractions Description The circular fraction model for eighths is a powerful visual representation of fractions, specifically illustrating the concept of eighths. This math clip art image showcases a circle divided into eight equal segments, each representing one-eighth of the whole. The clear, colorful divisions make it easy for students to grasp the idea of parts of a whole and how fractions work.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Eighths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Eighths Topic Fractions Description The circular fraction model for eighths is a powerful visual representation of fractions, specifically illustrating the concept of eighths. This math clip art image showcases a circle divided into eight equal segments, each representing one-eighth of the whole. The clear, colorful divisions make it easy for students to grasp the idea of parts of a whole and how fractions work.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Eighths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Eighths Topic Fractions Description The circular fraction model for eighths is a powerful visual representation of fractions, specifically illustrating the concept of eighths. This math clip art image showcases a circle divided into eight equal segments, each representing one-eighth of the whole. The clear, colorful divisions make it easy for students to grasp the idea of parts of a whole and how fractions work.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Eighths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Eighths Topic Fractions Description The circular fraction model for eighths is a powerful visual representation of fractions, specifically illustrating the concept of eighths. This math clip art image showcases a circle divided into eight equal segments, each representing one-eighth of the whole. The clear, colorful divisions make it easy for students to grasp the idea of parts of a whole and how fractions work.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Eighths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Eighths Topic Fractions Description The circular fraction model for eighths is a powerful visual representation of fractions, specifically illustrating the concept of eighths. This math clip art image showcases a circle divided into eight equal segments, each representing one-eighth of the whole. The clear, colorful divisions make it easy for students to grasp the idea of parts of a whole and how fractions work.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Eighths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Eighths Topic Fractions Description The circular fraction model for eighths is a powerful visual representation of fractions, specifically illustrating the concept of eighths. This math clip art image showcases a circle divided into eight equal segments, each representing one-eighth of the whole. The clear, colorful divisions make it easy for students to grasp the idea of parts of a whole and how fractions work.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths Topic Fractions Description This circular fraction model for fifths is an essential visual aid in teaching the concept of fractions, specifically fifths. The image displays a circle neatly divided into five equal segments, each representing one-fifth of the whole. The clear, distinct sections make it easy for students to visualize and understand the concept of parts of a whole in relation to fifths.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths Topic Fractions Description This circular fraction model for fifths is an essential visual aid in teaching the concept of fractions, specifically fifths. The image displays a circle neatly divided into five equal segments, each representing one-fifth of the whole. The clear, distinct sections make it easy for students to visualize and understand the concept of parts of a whole in relation to fifths.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths Topic Fractions Description This circular fraction model for fifths is an essential visual aid in teaching the concept of fractions, specifically fifths. The image displays a circle neatly divided into five equal segments, each representing one-fifth of the whole. The clear, distinct sections make it easy for students to visualize and understand the concept of parts of a whole in relation to fifths.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths Topic Fractions Description This circular fraction model for fifths is an essential visual aid in teaching the concept of fractions, specifically fifths. The image displays a circle neatly divided into five equal segments, each representing one-fifth of the whole. The clear, distinct sections make it easy for students to visualize and understand the concept of parts of a whole in relation to fifths.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths Topic Fractions Description This circular fraction model for fifths is an essential visual aid in teaching the concept of fractions, specifically fifths. The image displays a circle neatly divided into five equal segments, each representing one-fifth of the whole. The clear, distinct sections make it easy for students to visualize and understand the concept of parts of a whole in relation to fifths.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths Topic Fractions Description This circular fraction model for fifths is an essential visual aid in teaching the concept of fractions, specifically fifths. The image displays a circle neatly divided into five equal segments, each representing one-fifth of the whole. The clear, distinct sections make it easy for students to visualize and understand the concept of parts of a whole in relation to fifths.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths Topic Fractions Description This circular fraction model for fifths is an essential visual aid in teaching the concept of fractions, specifically fifths. The image displays a circle neatly divided into five equal segments, each representing one-fifth of the whole. The clear, distinct sections make it easy for students to visualize and understand the concept of parts of a whole in relation to fifths.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths Topic Fractions Description This circular fraction model for fifths is an essential visual aid in teaching the concept of fractions, specifically fifths. The image displays a circle neatly divided into five equal segments, each representing one-fifth of the whole. The clear, distinct sections make it easy for students to visualize and understand the concept of parts of a whole in relation to fifths.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Fifths Topic Fractions Description This circular fraction model for fifths is an essential visual aid in teaching the concept of fractions, specifically fifths. The image displays a circle neatly divided into five equal segments, each representing one-fifth of the whole. The clear, distinct sections make it easy for students to visualize and understand the concept of parts of a whole in relation to fifths.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Fourths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Fourths Topic Fractions Description The circular fraction model for fourths is a crucial visual aid in teaching the concept of fractions, particularly quarters or fourths. This math clip art image presents a circle divided into four equal segments, each representing one-fourth of the whole. The clear, distinct divisions make it easy for students to visualize and comprehend the concept of parts of a whole in relation to fourths.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Fourths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Fourths Topic Fractions Description The circular fraction model for fourths is a crucial visual aid in teaching the concept of fractions, particularly quarters or fourths. This math clip art image presents a circle divided into four equal segments, each representing one-fourth of the whole. The clear, distinct divisions make it easy for students to visualize and comprehend the concept of parts of a whole in relation to fourths.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Tenths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Tenths Topic Fractions Description The circular fraction model for tenths is a valuable visual aid in teaching the concept of fractions, specifically tenths. This math clip art image displays a circle divided into ten equal segments, each representing one-tenth of the whole. The clear, distinct divisions make it easy for students to visualize and understand the concept of parts of a whole in relation to tenths.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Tenths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Tenths Topic Fractions Description The circular fraction model for tenths is a valuable visual aid in teaching the concept of fractions, specifically tenths. This math clip art image displays a circle divided into ten equal segments, each representing one-tenth of the whole. The clear, distinct divisions make it easy for students to visualize and understand the concept of parts of a whole in relation to tenths.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Tenths	Math Clip Art--Fraction Concepts--Circular Fraction Model, Tenths Topic Fractions Description The circular fraction model for tenths is a valuable visual aid in teaching the concept of fractions, specifically tenths. This math clip art image displays a circle divided into ten equal segments, each representing one-tenth of the whole. The clear, distinct divisions make it easy for students to visualize and understand the concept of parts of a whole in relation to tenths.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds	Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds Topic Fractions Description The circular fraction model for thirds is an essential visual representation used in teaching fractions, specifically the concept of thirds. The clip art image presents a circle divided into three equal segments, each segment representing one-third of the whole. This clear division allows students to visualize how a whole can be split into equal parts.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds	Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds Topic Fractions Description The circular fraction model for thirds is an essential visual representation used in teaching fractions, specifically the concept of thirds. The clip art image presents a circle divided into three equal segments, each segment representing one-third of the whole. This clear division allows students to visualize how a whole can be split into equal parts.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds	Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds Topic Fractions Description The circular fraction model for thirds is an essential visual representation used in teaching fractions, specifically the concept of thirds. The clip art image presents a circle divided into three equal segments, each segment representing one-third of the whole. This clear division allows students to visualize how a whole can be split into equal parts.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds	Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds Topic Fractions Description The circular fraction model for thirds is an essential visual representation used in teaching fractions, specifically the concept of thirds. The clip art image presents a circle divided into three equal segments, each segment representing one-third of the whole. This clear division allows students to visualize how a whole can be split into equal parts.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds	Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds Topic Fractions Description The circular fraction model for thirds is an essential visual representation used in teaching fractions, specifically the concept of thirds. The clip art image presents a circle divided into three equal segments, each segment representing one-third of the whole. This clear division allows students to visualize how a whole can be split into equal parts.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds	Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds Topic Fractions Description The circular fraction model for thirds is an essential visual representation used in teaching fractions, specifically the concept of thirds. The clip art image presents a circle divided into three equal segments, each segment representing one-third of the whole. This clear division allows students to visualize how a whole can be split into equal parts.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds	Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds Topic Fractions Description The circular fraction model for thirds is an essential visual representation used in teaching fractions, specifically the concept of thirds. The clip art image presents a circle divided into three equal segments, each segment representing one-third of the whole. This clear division allows students to visualize how a whole can be split into equal parts.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds	Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds Topic Fractions Description The circular fraction model for thirds is an essential visual representation used in teaching fractions, specifically the concept of thirds. The clip art image presents a circle divided into three equal segments, each segment representing one-third of the whole. This clear division allows students to visualize how a whole can be split into equal parts.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds	Math Clip Art--Fraction Concepts--Circular Fraction Model, Thirds Topic Fractions Description The circular fraction model for thirds is an essential visual representation used in teaching fractions, specifically the concept of thirds. The clip art image presents a circle divided into three equal segments, each segment representing one-third of the whole. This clear division allows students to visualize how a whole can be split into equal parts.	Identify and Name Fractions
Math Clip Art--Fraction Concepts--Fraction Bars, Fourths	Math Clip Art--Fraction Concepts--Fraction Bars, Fourths Topic Fractions Description The fraction bar model for fourths is a powerful visual tool for teaching the concept of fractions, specifically quarters or fourths. This math clip art image presents a rectangular bar divided into four equal segments, each representing one-fourth of the whole. The clear, linear divisions make it easy for students to visualize and comprehend the concept of parts of a whole in relation to fourths.	Fractions and Mixed Numbers
Math Clip Art--Fraction Concepts--Fraction Bars, Fourths	Math Clip Art--Fraction Concepts--Fraction Bars, Fourths Topic Fractions Description The fraction bar model for fourths is a powerful visual tool for teaching the concept of fractions, specifically quarters or fourths. This math clip art image presents a rectangular bar divided into four equal segments, each representing one-fourth of the whole. The clear, linear divisions make it easy for students to visualize and comprehend the concept of parts of a whole in relation to fourths.	Fractions and Mixed Numbers
Math Clip Art--Fraction Concepts--Fraction Bars, Fourths	Math Clip Art--Fraction Concepts--Fraction Bars, Fourths Topic Fractions Description The fraction bar model for fourths is a powerful visual tool for teaching the concept of fractions, specifically quarters or fourths. This math clip art image presents a rectangular bar divided into four equal segments, each representing one-fourth of the whole. The clear, linear divisions make it easy for students to visualize and comprehend the concept of parts of a whole in relation to fourths.	Fractions and Mixed Numbers
Math Clip Art--Fraction Concepts--Fraction Bars, Fourths	Math Clip Art--Fraction Concepts--Fraction Bars, Fourths Topic Fractions Description The fraction bar model for fourths is a powerful visual tool for teaching the concept of fractions, specifically quarters or fourths. This math clip art image presents a rectangular bar divided into four equal segments, each representing one-fourth of the whole. The clear, linear divisions make it easy for students to visualize and comprehend the concept of parts of a whole in relation to fourths.	Fractions and Mixed Numbers
Math Clip Art--Fraction Concepts--Fraction Bars, Halves	Math Clip Art--Fraction Concepts--Fraction Bars, Halves Topic Fractions Description The fraction bar model for halves is a fundamental visual aid in teaching the concept of fractions, specifically halves. This math clip art image showcases a rectangular bar divided into two equal segments, each representing one-half of the whole. The clear, linear division makes it exceptionally easy for students to visualize and understand the concept of parts of a whole in relation to halves.	Fractions and Mixed Numbers

Illustrative Math Alignment: Grade 6 Unit 1

Dividing Fractions

Lesson 6: Using Diagrams to Find the Number of Groups

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