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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

The following diagram shows shows the patterns for the sums of fractions. Scroll down the page for more examples and solutions.

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

- Find the sums. Express each sum as a mixed number.
- Describe a pattern you notice when adding the sums of fractions with even denominators as opposed to those with odd denominators.
- How would the sums change if the addition started with the unit fraction rather than with 0?
- Find the sums.
- Compare your strategy for finding the sums in Problems 4(d), 4(e), and 4(f) with a partner.
- Could you apply this strategy to find the sum of all the whole numbers from 0 to 100?

Lesson 41 Homework

- Find the sums. Express each sum as a mixed number.
- Describe a pattern you notice when adding the sums of fractions with even denominators as opposed to those with odd denominators.
- How would the sums change if the addition started with the unit fraction rather than with 0?
- Find the sums.
- Could you apply this strategy to find the sum of all the whole numbers from 0 to 50? To 99?

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