Learning Gig Resources
Decimals and Fractions: Two Ways to Say the Same Thing
This passage explains how decimals and fractions are two ways of representing the same value. It includes examples like measuring ingredients and cutting objects, showing why understanding both is useful in real life. It also covers repeating decimals.
How to Convert Fractions to Decimals and Back Again
This step-by-step guide teaches students how to convert fractions to decimals using division and decimals to fractions by using place value. It also explains how to handle repeating decimals like 0.333... and includes multiple practice problems.
Where Do We Use Fractions and Decimals Every Day?
This passage explores real-world applications of fractions and decimals in daily life, including gaming statistics, sports scores, shopping discounts, and homework progress tracking.
The History of Decimals and Fractions
This passage explores the history of fractions and decimals, from their early use by the ancient Egyptians and Greeks to the development of our modern decimal system. It explains how different civilizations contributed to the way we use numbers today.
Project Work (Recommended)
Project: Measuring and Converting – Exploring Fractions and Decimals in the Real World
Students will measure a real-world object, record measurements in both fraction and decimal form, and create a labeled diagram. Each student will measure half of the dimensions, convert them, and have their partner verify the work.
2 studentsDecimals and Fractions – Understanding the Relationship
Learn how decimals and fractions are connected, how to convert between them, and their real-world applications.
What is a fraction?
What is a fraction?
A way to show a part of a whole using a numerator and denominator.
What is a decimal?
What is a decimal?
A number system based on powers of ten that uses a decimal point.
How are ½ and 0.5 related?
How are ½ and 0.5 related?
They represent the same value; ½ = 0.5.
Convert ¾ into a decimal.
Convert ¾ into a decimal.
0.75
Convert 0.2 into a fraction.
Convert 0.2 into a fraction.
1/5
What are terminating decimals?
What are terminating decimals?
Decimals that stop, like 0.25 or 0.6.
What are repeating decimals?
What are repeating decimals?
Decimals that never end but repeat a pattern, like 0.3̅ (0.333...).
Convert 1/3 into a decimal.
Convert 1/3 into a decimal.
0.3̅
Convert 0.875 into a fraction.
Convert 0.875 into a fraction.
7/8
Where do we use decimals in real life?
Where do we use decimals in real life?
Measuring ingredients, cutting objects, time tracking, and shopping discounts.
A recipe calls for 0.25 cups of sugar. What is this as a fraction?
A recipe calls for 0.25 cups of sugar. What is this as a fraction?
¼
You made 16 out of 20 free throws. What is your shooting percentage?
You made 16 out of 20 free throws. What is your shooting percentage?
80% or 0.8
A store has a 40% discount. What fraction of the price is discounted?
A store has a 40% discount. What fraction of the price is discounted?
2/5
Who helped develop the decimal system in India?
Who helped develop the decimal system in India?
Brahmagupta
What is the decimal equivalent of 3/5?
What is the decimal equivalent of 3/5?
0.6
What civilization first used unit fractions like 1/2 and 1/4?
What civilization first used unit fractions like 1/2 and 1/4?
Ancient Egyptians
Which Greek mathematician used fractions to study music and geometry?
Which Greek mathematician used fractions to study music and geometry?
Pythagoras
What is 1/2 + 1/4?
What is 1/2 + 1/4?
3/4 or 0.75
Guided Notes and Study Guide: Decimals and Fractions
This guide explains the relationship between decimals and fractions, how to convert between them, and their real-world applications. Use the guided notes to test your knowledge!
This Learning Gig development generously funded by Outstanda.