Explore Fraction Patterns
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Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 4
Common Core For Grade 4
Examples, solutions, and videos to help Grade 4 students learn how to find and use a pattern to calculate the sum of all fractional parts between 0 and 1. Share and critique peer strategies.
Topic H: Explore a Fraction Pattern
Common Core Standards: 4.OA.5
Download worksheets for Grade 4, Module 5, Lesson 41
Lesson 41 Concept Development
Problem 1: Explore patterns for sums of fractions.
Problem 2: Apply the pattern to find the sum of consecutive fractions with large denominators.
Lesson 41 Problem Set
1. Find the sums. Express each sum as a mixed number.
2. Describe a pattern you notice when adding the sums of fractions with even denominators as opposed to those with odd denominators.
3. How would the sums change if the addition started with the unit fraction rather than with 0?
4. Find the sums.
5. Compare your strategy for finding the sums in Problems 4(d), 4(e), and 4(f) with a partner.
6. Could you apply this strategy to find the sum of all the whole numbers from 0 to 100?
Lesson 41 Homework
1. Find the sums. Express each sum as a mixed number.
2. Describe a pattern you notice when adding the sums of fractions with even denominators as opposed to those with odd denominators.
3. How would the sums change if the addition started with the unit fraction rather than with 0?
4. Find the sums.
5. Could you apply this strategy to find the sum of all the whole numbers from 0 to 50? To 99?
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Lesson Plans and Worksheets for Grade 4
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 4
Common Core For Grade 4
Examples, solutions, and videos to help Grade 4 students learn how to find and use a pattern to calculate the sum of all fractional parts between 0 and 1. Share and critique peer strategies.
Topic H: Explore a Fraction Pattern
Common Core Standards: 4.OA.5
NYS Common Core Grade 4 Module 5, Lesson 41
Download worksheets for Grade 4, Module 5, Lesson 41
Lesson 41 Concept Development
Problem 1: Explore patterns for sums of fractions.
Problem 2: Apply the pattern to find the sum of consecutive fractions with large denominators.
1. Find the sums. Express each sum as a mixed number.
2. Describe a pattern you notice when adding the sums of fractions with even denominators as opposed to those with odd denominators.
3. How would the sums change if the addition started with the unit fraction rather than with 0?
4. Find the sums.
5. Compare your strategy for finding the sums in Problems 4(d), 4(e), and 4(f) with a partner.
6. Could you apply this strategy to find the sum of all the whole numbers from 0 to 100?
Lesson 41 Homework
1. Find the sums. Express each sum as a mixed number.
2. Describe a pattern you notice when adding the sums of fractions with even denominators as opposed to those with odd denominators.
3. How would the sums change if the addition started with the unit fraction rather than with 0?
4. Find the sums.
5. Could you apply this strategy to find the sum of all the whole numbers from 0 to 50? To 99?
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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