Illustrative Math Alignment: Grade 6 Unit 1
Dividing Fractions
Lesson 16: Solving Problems Involving Fractions
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Example--Area and Perimeter--Rectangle Area with Fractions--Example 5 | Math Example--Area and Perimeter--Rectangle Area with Fractions--Example 5TopicArea and Perimeter |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Perimeter with Fractions--Example 3 | Rectangle Perimeter with Fractions--Example 3TopicArea and Perimeter DescriptionThis example focuses on perimeter calculation for rectangles with fractional side lengths. Using the formula P = 2 ( l + w ), students practice adding fractions, reinforcing skills in fraction arithmetic and multiplication. This example is designed to deepen understanding of geometric concepts and the practical application of mathematical formulas involving fractions. |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Perimeter with Fractions--Example 2 | Rectangle Perimeter with Fractions--Example 2TopicArea and Perimeter DescriptionThis example illustrates the calculation of a rectangle's perimeter with fractional dimensions. By applying the formula P = 2 ( l + w ), students practice adding fractions, honing skills in both fraction arithmetic and multiplication. This task is critical for understanding how to handle fractions in geometric contexts, thereby enhancing both mathematical and spatial reasoning skills. |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Perimeter with Fractions--Example 5 | Rectangle Perimeter with Fractions--Example 5TopicArea and Perimeter DescriptionThis example illustrates how to compute the perimeter of a rectangle with fractional side lengths using the formula P = 2 ( l + w ). Students engage in adding fractions, enhancing skills in fraction arithmetic and multiplication. This example serves to reinforce understanding of geometric properties and the application of mathematical formulas involving fractions, crucial for solving perimeter-related problems effectively. |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Area with Fractions--Example 2 | Rectangle Area with Fractions--Example 2TopicArea and Perimeter |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Area with Fractions--Example 3 | Math Example--Area and Perimeter--Rectangle Area with Fractions--Example 3TopicArea and Perimeter |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Area with Fractions--Example 3 | Math Example--Area and Perimeter--Rectangle Area with Fractions--Example 3TopicArea and Perimeter |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Area with Fractions--Example 2 | Rectangle Area with Fractions--Example 2TopicArea and Perimeter |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Perimeter with Fractions--Example 1 | Rectangle Perimeter with Fractions--Example 1TopicArea and Perimeter DescriptionThis example demonstrates how to calculate the perimeter of a rectangle when dimensions are given as fractions. Using the formula P = 2 ( l + w ), students practice adding fractional lengths, enhancing skills in fraction addition and multiplication. This exercise is designed to improve understanding of both arithmetic operations with fractions and geometric concepts, making it a comprehensive learning experience. |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Area with Fractions--Example 1 | Rectangle Area with Fractions--Example 1TopicArea and Perimeter |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Area with Fractions--Example 4 | Rectangle Area with Fractions--Example 4TopicArea and Perimeter |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Area with Fractions--Example 5 | Math Example--Area and Perimeter--Rectangle Area with Fractions--Example 5TopicArea and Perimeter |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Perimeter with Fractions--Example 2 | Rectangle Perimeter with Fractions--Example 2TopicArea and Perimeter DescriptionThis example illustrates the calculation of a rectangle's perimeter with fractional dimensions. By applying the formula P = 2 ( l + w ), students practice adding fractions, honing skills in both fraction arithmetic and multiplication. This task is critical for understanding how to handle fractions in geometric contexts, thereby enhancing both mathematical and spatial reasoning skills. |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Perimeter with Fractions--Example 2 | Rectangle Perimeter with Fractions--Example 2TopicArea and Perimeter DescriptionThis example illustrates the calculation of a rectangle's perimeter with fractional dimensions. By applying the formula P = 2 ( l + w ), students practice adding fractions, honing skills in both fraction arithmetic and multiplication. This task is critical for understanding how to handle fractions in geometric contexts, thereby enhancing both mathematical and spatial reasoning skills. |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Perimeter with Fractions--Example 1 | Rectangle Perimeter with Fractions--Example 1TopicArea and Perimeter DescriptionThis example demonstrates how to calculate the perimeter of a rectangle when dimensions are given as fractions. Using the formula P = 2 ( l + w ), students practice adding fractional lengths, enhancing skills in fraction addition and multiplication. This exercise is designed to improve understanding of both arithmetic operations with fractions and geometric concepts, making it a comprehensive learning experience. |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Area with Fractions--Example 4 | Rectangle Area with Fractions--Example 4TopicArea and Perimeter |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Area with Fractions--Example 4 | Rectangle Area with Fractions--Example 4TopicArea and Perimeter |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Perimeter with Fractions--Example 4 | Rectangle Perimeter with Fractions--Example 4TopicArea and Perimeter DescriptionThis example demonstrates the process of calculating a rectangle's perimeter with fractional dimensions using the formula P = 2 ( l + w ). Students practice adding fractions, focusing on arithmetic skills and multiplication. This exercise enhances understanding of how fractions are applied in geometric contexts, improving both computational and spatial reasoning skills. |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Perimeter with Fractions--Example 5 | Rectangle Perimeter with Fractions--Example 5TopicArea and Perimeter DescriptionThis example illustrates how to compute the perimeter of a rectangle with fractional side lengths using the formula P = 2 ( l + w ). Students engage in adding fractions, enhancing skills in fraction arithmetic and multiplication. This example serves to reinforce understanding of geometric properties and the application of mathematical formulas involving fractions, crucial for solving perimeter-related problems effectively. |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Perimeter with Fractions--Example 2 | Rectangle Perimeter with Fractions--Example 2TopicArea and Perimeter DescriptionThis example illustrates the calculation of a rectangle's perimeter with fractional dimensions. By applying the formula P = 2 ( l + w ), students practice adding fractions, honing skills in both fraction arithmetic and multiplication. This task is critical for understanding how to handle fractions in geometric contexts, thereby enhancing both mathematical and spatial reasoning skills. |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Perimeter with Fractions--Example 3 | Rectangle Perimeter with Fractions--Example 3TopicArea and Perimeter DescriptionThis example focuses on perimeter calculation for rectangles with fractional side lengths. Using the formula P = 2 ( l + w ), students practice adding fractions, reinforcing skills in fraction arithmetic and multiplication. This example is designed to deepen understanding of geometric concepts and the practical application of mathematical formulas involving fractions. |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Perimeter with Fractions--Example 3 | Rectangle Perimeter with Fractions--Example 3TopicArea and Perimeter DescriptionThis example focuses on perimeter calculation for rectangles with fractional side lengths. Using the formula P = 2 ( l + w ), students practice adding fractions, reinforcing skills in fraction arithmetic and multiplication. This example is designed to deepen understanding of geometric concepts and the practical application of mathematical formulas involving fractions. |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Perimeter with Fractions--Example 5 | Rectangle Perimeter with Fractions--Example 5TopicArea and Perimeter DescriptionThis example illustrates how to compute the perimeter of a rectangle with fractional side lengths using the formula P = 2 ( l + w ). Students engage in adding fractions, enhancing skills in fraction arithmetic and multiplication. This example serves to reinforce understanding of geometric properties and the application of mathematical formulas involving fractions, crucial for solving perimeter-related problems effectively. |
Fractions and Mixed Numbers |
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Math Example--Area and Perimeter--Rectangle Perimeter with Fractions--Example 3 | Rectangle Perimeter with Fractions--Example 3TopicArea and Perimeter DescriptionThis example focuses on perimeter calculation for rectangles with fractional side lengths. Using the formula P = 2 ( l + w ), students practice adding fractions, reinforcing skills in fraction arithmetic and multiplication. This example is designed to deepen understanding of geometric concepts and the practical application of mathematical formulas involving fractions. |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions with Whole Numbers--Example 2 | Multiplying Fractions with Whole Numbers--Example 2TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions with Whole Numbers--Example 1 | Multiplying Fractions with Whole Numbers--Example 1TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions with Whole Numbers--Example 4 | Multiplying Fractions with Whole Numbers--Example 4TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions with Whole Numbers--Example 5 | Multiplying Fractions with Whole Numbers--Example 5TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example: Fraction Operations--Multiplying Fractions with Whole Numbers--Example 3 | Multiplying Fractions with Whole Numbers--Example 3TopicFraction Operations |
Fractions and Mixed Numbers |
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Math Example--Fraction Properties--Modeling Unit Fractions--Example 1 | Modeling Unit Fractions--Example 1TopicFraction Properties |
Add and Subtract Fractions |
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Math Example--Fraction Properties--Modeling Unit Fractions--Example 2 | Modeling Unit Fractions--Example 2TopicFraction Properties DescriptionThis example illustrates the concept of unit fractions by showing how a whole can be divided into equal parts. The visual representation aids in understanding the division of a whole into unit fractions, emphasizing the equal size of each part. The skills required include recognizing unit fractions, understanding equal division, and relating the parts to the whole. This foundational understanding is crucial for learning more complex fraction operations and concepts. |
Add and Subtract Fractions |
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Math Example--Fraction Properties--Modeling Unit Fractions--Example 7 | Modeling Unit Fractions--Example 7TopicFraction Properties DescriptionThis example illustrates unit fractions by dividing a whole into equal parts, each representing a unit fraction. The visual helps in understanding the division of a whole into unit fractions and the equal size of each part. Skills involved include recognizing unit fractions, understanding equal partitioning, and relating the parts to the whole, which are crucial for learning more complex fraction operations. |
Add and Subtract Fractions |
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Math Example--Fraction Properties--Modeling Unit Fractions--Example 5 | Modeling Unit Fractions--Example 5TopicFraction Properties DescriptionThis example demonstrates unit fractions by showing how a whole is divided into equal parts, each representing a unit fraction. The visual aids in understanding the equal partitioning of a whole and the relationship between parts and the whole. Skills required include recognizing unit fractions, understanding equal division, and relating parts to the whole, which are crucial for learning more advanced fraction concepts. |
Add and Subtract Fractions |
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Math Example--Fraction Properties--Modeling Unit Fractions--Example 3 | Modeling Unit Fractions--Example 3TopicFraction Properties DescriptionThis example focuses on modeling unit fractions, which are fractions with a numerator of 1, showcasing how a whole can be divided into equal parts. The visual representation aids in understanding the concept of equal partitioning and the relationship between the numerator and denominator. Key skills include recognizing unit fractions, understanding equal division, and relating parts to the whole, which are essential for mastering more complex fraction concepts. |
Add and Subtract Fractions |
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Math Example--Fraction Properties--Modeling Unit Fractions--Example 10 | Modeling Unit Fractions--Example 10TopicFraction Properties DescriptionThis example illustrates unit fractions by dividing a whole into equal parts, each representing a unit fraction. The image helps in understanding the division of a whole into unit fractions and the equal size of each part. Skills involved include recognizing unit fractions, understanding equal partitioning, and relating the parts to the whole, which are crucial for learning more complex fraction operations. |
Add and Subtract Fractions |
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Math Example--Fraction Properties--Modeling Unit Fractions--Example 4 | Modeling Unit Fractions--Example 4TopicFraction Properties DescriptionThis example illustrates the concept of unit fractions by dividing a whole into equal parts. The image helps in visualizing how each unit fraction represents a part of the whole, emphasizing equal partitioning. Skills involved include identifying unit fractions, understanding the division into equal parts, and recognizing the relationship between the numerator and denominator, which are foundational for further fraction studies. |
Add and Subtract Fractions |
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Math Example--Fraction Properties--Modeling Unit Fractions--Example 9 | Modeling Unit Fractions--Example 9TopicFraction Properties DescriptionThis example focuses on modeling unit fractions, illustrating how a whole can be divided into equal parts. The visual representation helps in understanding the concept of unit fractions and the equal partitioning of a whole. Essential skills include recognizing unit fractions, understanding equal division, and relating parts to the whole, which are foundational for mastering more complex fraction operations. |
Add and Subtract Fractions |
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Math Example--Fraction Properties--Modeling Unit Fractions--Example 6 | Modeling Unit Fractions--Example 6TopicFraction Properties DescriptionThis example focuses on modeling unit fractions, illustrating how a whole can be divided into equal parts. The image helps visualize the concept of unit fractions and the equal partitioning of a whole. Essential skills include identifying unit fractions, understanding equal division, and relating parts to the whole, which are foundational for mastering more complex fraction operations. |
Add and Subtract Fractions |
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Math Example--Fraction Properties--Modeling Unit Fractions--Example 8 | Modeling Unit Fractions--Example 8TopicFraction Properties DescriptionThis example demonstrates the concept of unit fractions by showing how a whole can be divided into equal parts. The image aids in visualizing the division into unit fractions, emphasizing equal partitioning. Key skills include identifying unit fractions, understanding equal division, and relating parts to the whole, which are foundational for further studies in fractions. |
Add and Subtract Fractions |
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Math Clip Art: Fractions--Pizza Slices--One Fourth | Math Clip Art: Fractions--Pizza Slices--One FourthTopicFractions DescriptionThis math clip art image is part of a series that uses pizza slices to model fractions. The image shows a circular pizza divided into four equal slices, with only one slice present. This visual representation effectively illustrates the fraction one-fourth (1/4). |
Identify and Name Fractions |
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Math Clip Art: Fractions--Pizza Slices--Full Sixths | Math Clip Art: Fractions--Pizza Slices--Full SixthsTopicFractions DescriptionThis math clip art image is part of a series illustrating fraction models using pizzas. The image depicts a circular pizza divided into six equal slices, representing the concept of "full sixths." Each slice is clearly defined, making it easy for students to visualize and understand the fraction 6/6, which is equivalent to one whole. |
Identify and Name Fractions |
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Math Clip Art: Fractions--Pizza Slices--One Fourth | Math Clip Art: Fractions--Pizza Slices--One FourthTopicFractions DescriptionThis math clip art image is part of a series that uses pizza slices to model fractions. The image shows a circular pizza divided into four equal slices, with only one slice present. This visual representation effectively illustrates the fraction one-fourth (1/4). |
Identify and Name Fractions |
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Math Clip Art: Fractions--Pizza Slices--One Sixth | Math Clip Art: Fractions--Pizza Slices--One SixthTopicFractions DescriptionThis math clip art image is part of a series that uses pizza slices to model fractions. The image shows a circular pizza divided into six equal slices, with only one slice present. This visual representation effectively illustrates the fraction one-sixth (1/6). |
Identify and Name Fractions |
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Math Clip Art: Fractions--Pizza Slices--Three Sixths | Math Clip Art: Fractions--Pizza Slices--Three SixthsTopicFractions DescriptionThis math clip art image is part of a series illustrating fraction models using pizzas. The image depicts a circular pizza divided into six equal slices, with three slices present and three missing. This visual representation clearly illustrates the fraction three-sixths (3/6), which is equivalent to 1/2. |
Identify and Name Fractions |
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Math Clip Art: Fractions--Pizza Slices--Five Sixths | Math Clip Art: Fractions--Pizza Slices--Five SixthsTopicFractions DescriptionThis math clip art image is part of a series illustrating fraction models using pizzas. The image shows a circular pizza divided into six equal slices, with five slices present and one missing. This visual representation effectively demonstrates the fraction five-sixths (5/6). |
Identify and Name Fractions |
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Math Clip Art: Fractions--Pizza Slices--Three Sixths | Math Clip Art: Fractions--Pizza Slices--Three SixthsTopicFractions DescriptionThis math clip art image is part of a series illustrating fraction models using pizzas. The image depicts a circular pizza divided into six equal slices, with three slices present and three missing. This visual representation clearly illustrates the fraction three-sixths (3/6), which is equivalent to 1/2. |
Identify and Name Fractions |
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Math Clip Art: Fractions--Pizza Slices--Two Sixths | Math Clip Art: Fractions--Pizza Slices--Two SixthsTopicFractions DescriptionThis math clip art image is part of a series illustrating fraction models using pizzas. The image shows a circular pizza divided into six equal slices, with two slices present and four missing. This visual representation effectively demonstrates the fraction two-sixths (2/6). |
Identify and Name Fractions |
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Math Clip Art: Fractions--Pizza Slices--Two Sixths | Math Clip Art: Fractions--Pizza Slices--Two SixthsTopicFractions DescriptionThis math clip art image is part of a series illustrating fraction models using pizzas. The image shows a circular pizza divided into six equal slices, with two slices present and four missing. This visual representation effectively demonstrates the fraction two-sixths (2/6). |
Identify and Name Fractions |
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Math Clip Art: Fractions--Pizza Slices--Four Sixths | Math Clip Art: Fractions--Pizza Slices--Four SixthsTopicFractions DescriptionThis math clip art image is part of a series that uses pizza slices to model fractions. The image shows a circular pizza divided into six equal slices, with four slices present and two missing. This visual representation effectively illustrates the fraction four-sixths (4/6). |
Identify and Name Fractions |
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Math Clip Art: Fractions--Pizza Slices--One Sixth | Math Clip Art: Fractions--Pizza Slices--One SixthTopicFractions DescriptionThis math clip art image is part of a series that uses pizza slices to model fractions. The image shows a circular pizza divided into six equal slices, with only one slice present. This visual representation effectively illustrates the fraction one-sixth (1/6). |
Identify and Name Fractions |
