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Understanding Parts of a Whole: Decimals, Fractions, and Percents

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Grow With STEM
4 Followers
Grade Levels
3rd - 6th
Standards
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Pages
55 pages
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$13.49
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Description

Understanding Parts of a Whole: Decimals, Fractions, and Percents


Description: This dynamic lesson is designed to empower students with a thorough understanding of decimal numbers, fractions, and percentages. Through engaging activities, interactive discussions, and real-world examples, students will delve into the intricacies of numerical concepts, building a strong foundation in mathematical literacy.

The lesson begins with an exploration of decimal numbers, where students learn to recognize, compare, and manipulate decimals with confidence. They will engage in hands-on activities and visual aids to grasp the relationship between decimals and whole numbers, as well as how to perform operations such as addition, subtraction, multiplication, and division with decimals. Moving on to fractions, students will discover the beauty of fractional representation and its practical applications. Through interactive exercises, they will learn to interpret and manipulate fractions, converting between improper fractions and mixed numbers, simplifying fractions, and finding common denominators.

The lesson culminates with an in-depth exploration of percentages, where students will uncover the connection between percentages, decimals, and fractions. They will learn to calculate percentages, solve percentage problems, and understand how percentages are used in real-world scenarios such as discounts, taxes, and proportions.

Throughout the lesson, emphasis is placed on fostering a growth mindset and building students' confidence in their mathematical abilities. By providing a supportive learning environment and offering differentiated instruction, students of all levels will have the opportunity to master essential numeracy skills and apply them in various contexts, setting them on the path to mathematical success.

Total Pages
55 pages
Answer Key
Included
Teaching Duration
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Standards

to see state-specific standards (only available in the US).
Understand a fraction 1/𝘣 as the quantity formed by 1 part when a whole is partitioned into 𝘣 equal parts; understand a fraction 𝘒/𝑏 as the quantity formed by 𝘒 parts of size 1/𝘣.
Represent a fraction 𝘒/𝘣 on a number line diagram by marking off 𝘒 lengths 1/𝘣 from 0. Recognize that the resulting interval has size 𝘒/𝘣 and that its endpoint locates the number 𝘒/𝘣 on the number line.
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.
Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

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