fraction-bars

Fractions, Decimals, Percents, and Data

In our third Math unit of the year, students will gain understanding that fractions are parts of a whole. In addition, students will delve into how fractions relate to decimals and whole numbers. As students investigate the relationships between fractions, decimals, and percents, they will continue to employ algebraic thinking and problem solving. Finally, students will apply their acquired skills as they collect, analyze and display data using graphs.

 

Understandings, Skills and Guiding Questions

Students will understand that

  • Different models and representations can be used to compare fractional parts.
  • Decimals help us understand place value patterns, and relationships between large and small numbers.
  • Number patterns and relationships help us solve problems.
  • Visual displays are used to represent data.

Guiding questions:

  • How can different fractions represent the same quantity?
  • How are fractions used as models?
  • How are fractions, decimals, and percents connected?
  • How and why are fractions, decimals, and percents? used in the world around us?
  • What can you learn by collecting data?

Students will be skilled at:

  • Using decimal notation to express and compare fractions
  • Multiplying a fraction by a whole number
  • Adding and subtracting fractions
  • Recognizing, explaining and generating equivalent fractions using drawings and models
  • Using a symbol to represent and find an unknown quantity in a problem situation
  • Using a visual display to represent a data set of measurements and explaining the data

 

Real Life Application

  • Fractions and decimals are used any time there is a need to apportion such as sharing food, cooking, making savings plans, creating art projects, timing in music, or portioning supplies.
  • The collection and analysis of data provides understanding of how things work. For example, recording the weather every day for a year helps to better understand weather patterns.

 

Vocabulary

 

fraction whole part equivalent fractions
numerator denominator ratio decimal
mixed number improper fraction percentage percent
decimal point tenth hundredth thousandth
data analyze line plot average
axis mean median mode

 

How can I help at home?

  • Find common and decimal fractions in newspapers or magazines. Discuss their meanings with your child.
  • Find objects in the pantry and ask your child to convert the weight in metric units to fractions (example: 4.32 grams = 4 32/100 grams).
  • Double  or halve the size of a recipe of your child’s favorite dish after your child calculates the appropriate amount of the fractional ingredients.
  • Discuss sports statistics with your child in fraction, decimal, and percent form.

 

Web Resources