The purpose of this lesson is to show students how relevant and necessary fractions are in everyday life, as well as in the field of health care work. We use fractions in ways we do not even realize, especially when it comes to estimating using commonly known fractions. By using these common fractions as a base of reference, understanding the conversion of fractions becomes much easier to understand.
At the end of this lesson, students will be able to:
list ways that we use fractions everyday
visually represent fractions
convert fractions into equivalent forms
compare fractions
Student Target
“I can draw a model to show you how big a fraction is.” “I can tell which fraction is bigger.” “I can make equivalent fractions.”
CCR Focus Standards
Number and Ratios - Level B
Represent a fraction 1/b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1/b and that the endpoint of the part based at 0 locates the number 1/b on the number line.
Represent a fraction a/b on a number line diagram by marking off a lengths 1/b from 0. Recognize that the resulting interval has size a/b and that its endpoint locates the number a/b on the number line.
Number and Ratios - Level C
Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
Supporting Standards
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.
Standards for Mathematical Practice
Model with mathematics. (MP.4)
Use appropriate tools strategically. (MP.5)
Attend to precision. (MP.6)
KYAE Employability Standards
E.6 Identify and effectively use skills and materials needed for a particular task.
E.7 Accurately analyze information and respond appropriately.
E.8 Interact with others in a professional manner.
