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, Grades 1-3 deals with a few elementary fraction concepts: the concepts of a fraction and of a mixed number, fractions on a number line, equivalent fractions, and comparing fractions.
In the first lesson, the student practices dividing shapes into parts, which helps build an understanding of part-whole relationships and fractions, as well as the properties of the original shape and of the parts.
Next, the student divides some basic shapes into halves, thirds, and fourths (quarters). He/she also learns the common notation for fractions (such as 1/3) and color parts to show a given fraction. We also study comparing fractions using visual models.
Then, the student learns to identify fractions in visual models, and to draw pie models for some common fractions. You can also use manipulatives or the fraction cutouts provided. In the download version, they are found in their separate folder, and in the printed version, they are appended to the answer key.
Next, students represent fractions on a number line diagram by marking the interval from 0 to 1 into equal parts. They also study fractions on number lines that go up to 3 and learn to write whole numbers as fractions.
The lesson about mixed numbers relies on visual models and number lines. I strongly feel that students first need to understand fraction operations and concepts with the help of visual models or manipulatives, and should not be introduced to the various rules for calculations too soon. Students match fractions and mixed numbers, and even convert mixed numbers back into fractions using visual models. The actual rule
for the conversion is not introduced on this level.
Next, we study equivalent fractions. Students recognize and generate simple equivalent fractions using visual models and number lines.
Lastly, students compare fractions in special cases, such as when they have the same numerator or the same denominator, or when the comparison can be made from visual models. They also learn that comparisons are valid only when the two fractions refer to the same whole.