Illustrative Math Alignment: Grade 6 Unit 1

Dividing Fractions

Lesson 11: Using an Algorithm to Divide Fractions

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Nodes
Math Clip Art--Dividing Fractions by Whole Numbers--Example 15--Two Thirds Divided by 4	Math Clip Art--Dividing Fractions by Whole Numbers--Example 15--Two Thirds Divided by 4 Topic Fraction Operations Description This math clip art image demonstrates the division of two-thirds by 4 using a visual fraction model. The image shows a rectangular model divided into three equal parts horizontally, with two parts shaded to represent the fraction 2/3. The rectangle is then divided into four equal parts vertically, and the resulting quotient, 2/12, is labeled, which simplifies to 1/6.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 16--Two Thirds Divided by 5	Math Clip Art--Dividing Fractions by Whole Numbers--Example 16--Two Thirds Divided by 5 Topic Fraction Operations Description This math clip art image illustrates the division of two-thirds by 5 using a visual fraction model. The image presents a rectangular model divided into three equal parts horizontally, with two parts shaded to represent the fraction 2/3. The rectangle is then divided into five equal parts vertically, and the resulting quotient, 2/15, is labeled.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 16--Two Thirds Divided by 5	Math Clip Art--Dividing Fractions by Whole Numbers--Example 16--Two Thirds Divided by 5 Topic Fraction Operations Description This math clip art image illustrates the division of two-thirds by 5 using a visual fraction model. The image presents a rectangular model divided into three equal parts horizontally, with two parts shaded to represent the fraction 2/3. The rectangle is then divided into five equal parts vertically, and the resulting quotient, 2/15, is labeled.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 16--Two Thirds Divided by 5	Math Clip Art--Dividing Fractions by Whole Numbers--Example 16--Two Thirds Divided by 5 Topic Fraction Operations Description This math clip art image illustrates the division of two-thirds by 5 using a visual fraction model. The image presents a rectangular model divided into three equal parts horizontally, with two parts shaded to represent the fraction 2/3. The rectangle is then divided into five equal parts vertically, and the resulting quotient, 2/15, is labeled.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 16--Two Thirds Divided by 5	Math Clip Art--Dividing Fractions by Whole Numbers--Example 16--Two Thirds Divided by 5 Topic Fraction Operations Description This math clip art image illustrates the division of two-thirds by 5 using a visual fraction model. The image presents a rectangular model divided into three equal parts horizontally, with two parts shaded to represent the fraction 2/3. The rectangle is then divided into five equal parts vertically, and the resulting quotient, 2/15, is labeled.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 17--Two Thirds Divided by 6	Math Clip Art--Dividing Fractions by Whole Numbers--Example 17--Two Thirds Divided by 6 Topic Fraction Operations Description This math clip art image demonstrates the division of two-thirds by 6 using a visual fraction model. The image shows a rectangular model divided into three equal parts horizontally, with two parts shaded to represent the fraction 2/3. The rectangle is then divided into six equal parts vertically, and the resulting quotient, 2/18, is labeled, which simplifies to 1/9.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 17--Two Thirds Divided by 6	Math Clip Art--Dividing Fractions by Whole Numbers--Example 17--Two Thirds Divided by 6 Topic Fraction Operations Description This math clip art image demonstrates the division of two-thirds by 6 using a visual fraction model. The image shows a rectangular model divided into three equal parts horizontally, with two parts shaded to represent the fraction 2/3. The rectangle is then divided into six equal parts vertically, and the resulting quotient, 2/18, is labeled, which simplifies to 1/9.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 18--Two Thirds Divided by 8	Math Clip Art--Dividing Fractions by Whole Numbers--Example 18--Two Thirds Divided by 8 Topic Fraction Operations Description This math clip art image illustrates the division of two-thirds by 8 using a visual fraction model. The image presents a rectangular model divided into three equal parts horizontally, with two parts shaded to represent the fraction 2/3. The rectangle is then divided into eight equal parts vertically, and the resulting quotient, 2/24, is labeled, which simplifies to 1/12.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 18--Two Thirds Divided by 8	Math Clip Art--Dividing Fractions by Whole Numbers--Example 18--Two Thirds Divided by 8 Topic Fraction Operations Description This math clip art image illustrates the division of two-thirds by 8 using a visual fraction model. The image presents a rectangular model divided into three equal parts horizontally, with two parts shaded to represent the fraction 2/3. The rectangle is then divided into eight equal parts vertically, and the resulting quotient, 2/24, is labeled, which simplifies to 1/12.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 18--Two Thirds Divided by 8	Math Clip Art--Dividing Fractions by Whole Numbers--Example 18--Two Thirds Divided by 8 Topic Fraction Operations Description This math clip art image illustrates the division of two-thirds by 8 using a visual fraction model. The image presents a rectangular model divided into three equal parts horizontally, with two parts shaded to represent the fraction 2/3. The rectangle is then divided into eight equal parts vertically, and the resulting quotient, 2/24, is labeled, which simplifies to 1/12.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 18--Two Thirds Divided by 8	Math Clip Art--Dividing Fractions by Whole Numbers--Example 18--Two Thirds Divided by 8 Topic Fraction Operations Description This math clip art image illustrates the division of two-thirds by 8 using a visual fraction model. The image presents a rectangular model divided into three equal parts horizontally, with two parts shaded to represent the fraction 2/3. The rectangle is then divided into eight equal parts vertically, and the resulting quotient, 2/24, is labeled, which simplifies to 1/12.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 19--One Fourth Divided by 2	Math Clip Art--Dividing Fractions by Whole Numbers--Example 19--One Fourth Divided by 2 Topic Fraction Operations Description This math clip art image demonstrates the division of one-fourth by 2 using a visual fraction model. The image shows a rectangular model divided into four equal parts horizontally, with one part shaded to represent the fraction 1/4. The rectangle is then divided in half vertically, and the resulting quotient, 1/8, is labeled.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 19--One Fourth Divided by 2	Math Clip Art--Dividing Fractions by Whole Numbers--Example 19--One Fourth Divided by 2 Topic Fraction Operations Description This math clip art image demonstrates the division of one-fourth by 2 using a visual fraction model. The image shows a rectangular model divided into four equal parts horizontally, with one part shaded to represent the fraction 1/4. The rectangle is then divided in half vertically, and the resulting quotient, 1/8, is labeled.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 19--One Fourth Divided by 2	Math Clip Art--Dividing Fractions by Whole Numbers--Example 19--One Fourth Divided by 2 Topic Fraction Operations Description This math clip art image demonstrates the division of one-fourth by 2 using a visual fraction model. The image shows a rectangular model divided into four equal parts horizontally, with one part shaded to represent the fraction 1/4. The rectangle is then divided in half vertically, and the resulting quotient, 1/8, is labeled.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 19--One Fourth Divided by 2	Math Clip Art--Dividing Fractions by Whole Numbers--Example 19--One Fourth Divided by 2 Topic Fraction Operations Description This math clip art image demonstrates the division of one-fourth by 2 using a visual fraction model. The image shows a rectangular model divided into four equal parts horizontally, with one part shaded to represent the fraction 1/4. The rectangle is then divided in half vertically, and the resulting quotient, 1/8, is labeled.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 20--One Fourth Divided by 3	Math Clip Art--Dividing Fractions by Whole Numbers--Example 20--One Fourth Divided by 3 Topic Fraction Operations Description This math clip art image illustrates the division of one-fourth by 3 using a visual fraction model. The image shows a rectangle divided into fourths, with one-fourth shaded. This one-fourth is then further divided into 3 equal parts, demonstrating how 1/4 ÷ 3 = 1/12.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 20--One Fourth Divided by 3	Math Clip Art--Dividing Fractions by Whole Numbers--Example 20--One Fourth Divided by 3 Topic Fraction Operations Description This math clip art image illustrates the division of one-fourth by 3 using a visual fraction model. The image shows a rectangle divided into fourths, with one-fourth shaded. This one-fourth is then further divided into 3 equal parts, demonstrating how 1/4 ÷ 3 = 1/12.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 20--One Fourth Divided by 3	Math Clip Art--Dividing Fractions by Whole Numbers--Example 20--One Fourth Divided by 3 Topic Fraction Operations Description This math clip art image illustrates the division of one-fourth by 3 using a visual fraction model. The image shows a rectangle divided into fourths, with one-fourth shaded. This one-fourth is then further divided into 3 equal parts, demonstrating how 1/4 ÷ 3 = 1/12.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 20--One Fourth Divided by 3	Math Clip Art--Dividing Fractions by Whole Numbers--Example 20--One Fourth Divided by 3 Topic Fraction Operations Description This math clip art image illustrates the division of one-fourth by 3 using a visual fraction model. The image shows a rectangle divided into fourths, with one-fourth shaded. This one-fourth is then further divided into 3 equal parts, demonstrating how 1/4 ÷ 3 = 1/12.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 21--One Fourth Divided by 4	Math Clip Art--Dividing Fractions by Whole Numbers--Example 21--One Fourth Divided by 4 Topic Fraction Operations Description This math clip art image demonstrates the division of one-fourth by 4 using a visual fraction model. The image depicts a rectangle divided into fourths, with one-fourth highlighted. This one-fourth is then further divided into 4 equal parts, illustrating how 1/4 ÷ 4 = 1/16.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 21--One Fourth Divided by 4	Math Clip Art--Dividing Fractions by Whole Numbers--Example 21--One Fourth Divided by 4 Topic Fraction Operations Description This math clip art image demonstrates the division of one-fourth by 4 using a visual fraction model. The image depicts a rectangle divided into fourths, with one-fourth highlighted. This one-fourth is then further divided into 4 equal parts, illustrating how 1/4 ÷ 4 = 1/16.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 21--One Fourth Divided by 4	Math Clip Art--Dividing Fractions by Whole Numbers--Example 21--One Fourth Divided by 4 Topic Fraction Operations Description This math clip art image demonstrates the division of one-fourth by 4 using a visual fraction model. The image depicts a rectangle divided into fourths, with one-fourth highlighted. This one-fourth is then further divided into 4 equal parts, illustrating how 1/4 ÷ 4 = 1/16.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 21--One Fourth Divided by 4	Math Clip Art--Dividing Fractions by Whole Numbers--Example 21--One Fourth Divided by 4 Topic Fraction Operations Description This math clip art image demonstrates the division of one-fourth by 4 using a visual fraction model. The image depicts a rectangle divided into fourths, with one-fourth highlighted. This one-fourth is then further divided into 4 equal parts, illustrating how 1/4 ÷ 4 = 1/16.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 22--One Fourth Divided by 5	Math Clip Art--Dividing Fractions by Whole Numbers--Example 22--One Fourth Divided by 5 Topic Fraction Operations Description This math clip art image illustrates the division of one-fourth by 5 using a visual fraction model. The image shows a rectangle divided into fourths, with one-fourth shaded. This one-fourth is then further divided into 5 equal parts, demonstrating how 1/4 ÷ 5 = 1/20.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 22--One Fourth Divided by 5	Math Clip Art--Dividing Fractions by Whole Numbers--Example 22--One Fourth Divided by 5 Topic Fraction Operations Description This math clip art image illustrates the division of one-fourth by 5 using a visual fraction model. The image shows a rectangle divided into fourths, with one-fourth shaded. This one-fourth is then further divided into 5 equal parts, demonstrating how 1/4 ÷ 5 = 1/20.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 22--One Fourth Divided by 5	Math Clip Art--Dividing Fractions by Whole Numbers--Example 22--One Fourth Divided by 5 Topic Fraction Operations Description This math clip art image illustrates the division of one-fourth by 5 using a visual fraction model. The image shows a rectangle divided into fourths, with one-fourth shaded. This one-fourth is then further divided into 5 equal parts, demonstrating how 1/4 ÷ 5 = 1/20.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 22--One Fourth Divided by 5	Math Clip Art--Dividing Fractions by Whole Numbers--Example 22--One Fourth Divided by 5 Topic Fraction Operations Description This math clip art image illustrates the division of one-fourth by 5 using a visual fraction model. The image shows a rectangle divided into fourths, with one-fourth shaded. This one-fourth is then further divided into 5 equal parts, demonstrating how 1/4 ÷ 5 = 1/20.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 23--One Fourth Divided by 6	Math Clip Art--Dividing Fractions by Whole Numbers--Example 23--One Fourth Divided by 6 Topic Fraction Operations Description This math clip art image demonstrates the division of one-fourth by 6 using a visual fraction model. The image depicts a rectangle divided into fourths, with one-fourth highlighted. This one-fourth is then further divided into 6 equal parts, illustrating how 1/4 ÷ 6 = 1/24.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 23--One Fourth Divided by 6	Math Clip Art--Dividing Fractions by Whole Numbers--Example 23--One Fourth Divided by 6 Topic Fraction Operations Description This math clip art image demonstrates the division of one-fourth by 6 using a visual fraction model. The image depicts a rectangle divided into fourths, with one-fourth highlighted. This one-fourth is then further divided into 6 equal parts, illustrating how 1/4 ÷ 6 = 1/24.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 23--One Fourth Divided by 6	Math Clip Art--Dividing Fractions by Whole Numbers--Example 23--One Fourth Divided by 6 Topic Fraction Operations Description This math clip art image demonstrates the division of one-fourth by 6 using a visual fraction model. The image depicts a rectangle divided into fourths, with one-fourth highlighted. This one-fourth is then further divided into 6 equal parts, illustrating how 1/4 ÷ 6 = 1/24.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 23--One Fourth Divided by 6	Math Clip Art--Dividing Fractions by Whole Numbers--Example 23--One Fourth Divided by 6 Topic Fraction Operations Description This math clip art image demonstrates the division of one-fourth by 6 using a visual fraction model. The image depicts a rectangle divided into fourths, with one-fourth highlighted. This one-fourth is then further divided into 6 equal parts, illustrating how 1/4 ÷ 6 = 1/24.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 24--One Fourth Divided by 8	Math Clip Art--Dividing Fractions by Whole Numbers--Example 24--One Fourth Divided by 8 Topic Fraction Operations Description This math clip art image illustrates the division of one-fourth by 8 using a visual fraction model. The image shows a rectangle divided into fourths, with one-fourth shaded. This one-fourth is then further divided into 8 equal parts, demonstrating how 1/4 ÷ 8 = 1/32.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 24--One Fourth Divided by 8	Math Clip Art--Dividing Fractions by Whole Numbers--Example 24--One Fourth Divided by 8 Topic Fraction Operations Description This math clip art image illustrates the division of one-fourth by 8 using a visual fraction model. The image shows a rectangle divided into fourths, with one-fourth shaded. This one-fourth is then further divided into 8 equal parts, demonstrating how 1/4 ÷ 8 = 1/32.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 24--One Fourth Divided by 8	Math Clip Art--Dividing Fractions by Whole Numbers--Example 24--One Fourth Divided by 8 Topic Fraction Operations Description This math clip art image illustrates the division of one-fourth by 8 using a visual fraction model. The image shows a rectangle divided into fourths, with one-fourth shaded. This one-fourth is then further divided into 8 equal parts, demonstrating how 1/4 ÷ 8 = 1/32.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 24--One Fourth Divided by 8	Math Clip Art--Dividing Fractions by Whole Numbers--Example 24--One Fourth Divided by 8 Topic Fraction Operations Description This math clip art image illustrates the division of one-fourth by 8 using a visual fraction model. The image shows a rectangle divided into fourths, with one-fourth shaded. This one-fourth is then further divided into 8 equal parts, demonstrating how 1/4 ÷ 8 = 1/32.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 25--Two Fourths Divided by 2	Math Clip Art--Dividing Fractions by Whole Numbers--Example 25--Two Fourths Divided by 2 Topic Fraction Operations Description This math clip art image illustrates the division of two-fourths by 2 using a visual fraction model. The image shows a rectangle divided into fourths, with two-fourths shaded. This two-fourths is then further divided into 2 equal parts, demonstrating how 2/4 ÷ 2 = 1/4.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 25--Two Fourths Divided by 2	Math Clip Art--Dividing Fractions by Whole Numbers--Example 25--Two Fourths Divided by 2 Topic Fraction Operations Description This math clip art image illustrates the division of two-fourths by 2 using a visual fraction model. The image shows a rectangle divided into fourths, with two-fourths shaded. This two-fourths is then further divided into 2 equal parts, demonstrating how 2/4 ÷ 2 = 1/4.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 25--Two Fourths Divided by 2	Math Clip Art--Dividing Fractions by Whole Numbers--Example 25--Two Fourths Divided by 2 Topic Fraction Operations Description This math clip art image illustrates the division of two-fourths by 2 using a visual fraction model. The image shows a rectangle divided into fourths, with two-fourths shaded. This two-fourths is then further divided into 2 equal parts, demonstrating how 2/4 ÷ 2 = 1/4.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 25--Two Fourths Divided by 2	Math Clip Art--Dividing Fractions by Whole Numbers--Example 25--Two Fourths Divided by 2 Topic Fraction Operations Description This math clip art image illustrates the division of two-fourths by 2 using a visual fraction model. The image shows a rectangle divided into fourths, with two-fourths shaded. This two-fourths is then further divided into 2 equal parts, demonstrating how 2/4 ÷ 2 = 1/4.	Fractions and Mixed Numbers
Math Clip Art--Dividing Fractions by Whole Numbers--Example 26--Two Fourths Divided by 3	Math Clip Art--Dividing Fractions by Whole Numbers--Example 26--Two Fourths Divided by 3 Topic Fraction Operations Description This math clip art image demonstrates the division of two-fourths by 3 using a visual fraction model. The image depicts a rectangle divided into fourths, with two-fourths highlighted. This two-fourths is then further divided into 3 equal parts, illustrating how 2/4 ÷ 3 = 1/6.	Fractions and Mixed Numbers

Illustrative Math Alignment: Grade 6 Unit 1

Dividing Fractions

Lesson 11: Using an Algorithm to Divide Fractions

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