Wednesday, May 25, 2011

The Wonder of Fractions




The Wonder of Fractions has always intrigued me. When I set out to create lessons on this topic, I wanted to provide a presentation that was both visual and conceptual. This was no small undertaking, but if you view the lessons below, I think you will agree that I achieved what I set out to do. I spent months working with elementary teachers to ensure that the scope and sequence was right for this unit (Thanks Charlene and Debi!) I now have a complete curriculum that includes 14 units of instructions, with 5 of those units on Fractions, Decimals and Percents.



Introduction
Students learn the relationship between the part and the whole with shaded circles and rectangles. Unit fractions and non-routine shading is also presented.
Classifying Fractions
Fractions are classified as proper or improper both numerically and through shapes. Mixed numbers are also introduced.
Equivalent Fractions
Equivalent fractions are introduced. Fractions are evaluated to determine if they are equivalent or not. The procedure for finding an equivalent fraction of a given fraction is covered.
Simplifying Fractions
Students are shown how to simplify fractions by reducing them to lowest terms. Examples include both proper and improper fractions. GCF is shown to be the most efficient method for simplifying.
Comparing Fractions
Methods for comparing fractions with like and denominators are presented. LCD is introduced and applied.
Ordering Fractions
Students are shown how to order two or more fractions from least to greatest by comparing them two at a time. Problems are drawn from the real world.
Converting Fractionto Mixed Numbers
The notion of sharing and dividing is used to illustrate this conversion. Remainders are converted to their fractional equivalents.
Converting MixedNumbers to Fractions
The procedure for this conversion is presented, along with a conceptual presentation through real world problems, with step-by-step solutions.
Practice Exercises
To complete 10 additional exercises as practice. To assess students' understanding of all fractional concepts learned in this unit.
Challenge Exercises
To solve 10 additional problems that challenge students' understanding of fractional concepts. To hone students' problem-solving skills.
Solutions
To review complete solutions to all exercises presented in this unit. Includes the problem, step-by-step solutions, and final answer for each exercise.


You can also try my Worksheets on Fractions, which are printables designed to supplement these lessons. Lots of visuals are included in these colorful worksheets.