Worksheets For Mathematics – An Introduction to Fractions

Fractions

Worksheets assist children in exploring a variety of concepts and ideas. They hone their fine motor skills, think logically, and learn on their own. Worksheets expose children to new and improved concepts of learning, allowing them to develop ideas and depict them on their worksheets. Worksheets for Math assist students in understanding math concepts. Working through core concepts from front to back and back again ensures that they comprehend each concept, which can then be applied to various situations.

History of Fractions

The term “fraction” comes from the Latin word “fractio,” which means “to break.” The Egyptians, the first civilization to study fractions, learned fractions to solve mathematical problems such as the division of food and supplies, as well as the absence of a bullion currency.

Fractions were only written in Ancient Rome using words to describe a portion of the whole. Fractions were first written in India with one number above another (numerator and denominator) but without a line. It was only the Arabs who added the line that separates the numerator and denominator.

What Exactly are Fractions?

Fractions, which are represented as numerical values in mathematics, can be defined as parts of a whole. A fraction is a portion or section of any quantity taken from a whole, which can be any number, a specific value, or a thing. Let’s look at an example to better understand this concept. Here’s a pizza that’s been cut into 8 equal pieces. Do you understand what 1/8 means?

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It translates to one in eight equal parts. It can also be written as:

One-eighth, also known as 1 by 8 and written as 1/8

Parts of Fractions

Every fraction has two parts – a numerator as well as a denominator.

  • The denominator represents the number of parts into which the whole has been divided up. The denominator is positioned at the bottom of the fraction.
  • The numerator specifies how many fractional sections are represented. The numerator is located in the upper portion of the overall.

Different Types Of Fractions

There are various types of fractions based on the numerator and denominator, which are parts of a fraction, and these are listed below:

  • Proper Fraction – The fractions are whose numerator is less than the denominator are known as proper fractions. It is frequently less than the whole. 5/7, 3/8, 2/5, and so on.
  • Improper Fraction – Let’s discuss what an improper function is! A fraction in which the numerator is greater than or equal to the denominator is known as an improper fraction. It is always equal to or greater than the sum of the parts. 4/3, 5/2, 8/5, and so on.

Types of Worksheets And Their Needs

Reasoning and Problem Solving

Students are asked to apply their mathematical knowledge to difficult problems in problem solving and reasoning (PSR) tasks. They benefit students who are learning to apply procedural skills independently in novel and real-world contexts.

A good PSR worksheet should be built around word problems that encourage diverse thinking and provide multiple paths to a correct answer. Include a space for students to work out so they can demonstrate their reasoning process, and make sure the problems refer to contextually relevant subject matter that students find interesting.

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Fluency and Practice

Students’ procedural skills are strengthened through practice and fluency activities. They improve their intuitive number sense as well as their automatic recall of the rules and patterns used in higher-order mathematical thinking. Fluency worksheets are considered to be very ideal for learners who are consolidating a new mathematical concept, but they can be used at any time to maintain procedural memory.

A fluency worksheet should be constructed around individual sums that are scaffolded to become progressively more difficult. To step out the scaffolding process and adequately drill the content, at least ten questions are required.

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