Fractions are a way to represent parts of a whole. To calculate fractions, you must learn how to add, subtract, multiply, and divide them. Fractions are used in everyday life, from baking to shopping.
Understanding Fractions
Numerator: The number that appears above the line in a fraction and tells how many parts are being considered. Denominator: The number that appears below the line in a fraction and tells how many parts the whole is divided into. Equivalent Fractions: Fractions that have the same value, even though they may have different numerators and denominators.
Concepts:
The symbol for fraction is actually derived from the Latin word 'fractus' which means 'broken'. The Romans were the first to use fractions as a number system in the 1st century BC. Some fractions, such as 1/2 and 3/4, are called 'common fractions' because they are used so often.
Did you know?
What strategies can you use to compare fractions with related denominators?
What strategies can you use to locate and represent fractions on a number line?
How did you find equivalent fractions?
What challenges did you encounter when adding fractions?
Brain break: Draw an octopus playing a guitar while wearing a top hat and cowboy boots
Question: Mrs. Smith has 6/8 of a cake. How much cake does she have left if she gives 1/4 of it away? Clues: • 1/8 is the same as 2/16 • You can subtract fractions with the same denominator • Simplify the fractions before subtracting them In pairs: Select and solve one of the tasks: A. Work with a partner to explain your solution through a drawing B. Write a fraction story to explain your solution
What is the reciprocal of 3/4?
What is the result of adding 1/2 and 1/3?
What is the product of 2/5 and 3?
Which fraction is equivalent to 4/8?
What is the difference between 3 / 4 and 1 / 6?
Work together in pairs: What are the three steps to simplify a fraction?