A complete unit with direct instruction to the student, ample practice problems and word problems. Common Core aligned. Great for independent practice/homework.
The unit Fractions: Add and Subtract starts out with lessons on various ways to add and subtract mixed numbers. These are meant partially to review and partially to develop speed in fraction calculations. The lesson Subtracting Mixed Numbers 2 presents an optional way to subtract, where we use a negative fraction. This is only meant for students who can easily grasp such subtractions, and is not intended to become a "stumbling block." Simply skip the method if the student does not understand it easily.
Students have already added and subtracted like fractions in fourth grade. Now it is time to "tackle" the more complex situation of unlike fractions.
First, we review how to convert fractions into other equivalent fractions. We begin with a visual model of splitting pieces of pie, and from that, we develop the common procedure for equivalent fractions.
This skill is used immediately in the next lessons about adding and subtracting unlike fractions. We begin this topic by using visual models. From the visual and concrete we gradually advance toward the abstract. Several lessons are devoted to understanding and practicing the basic concept, and also to applying this new skill to mixed numbers.
The lesson Comparing Fractions reviews some mental math methods for comparing fractions. Students also learn a “brute force” method based on converting fractions into equivalent fractions. This unit ends with a lesson on measuring in inches, using units as small as 1/16 of an inch.