CKMath Unit 2: Fraction Equivalence and Comparison
Focus:
In this unit, students extend their prior understanding of equivalent fractions and comparison of fractions. They use fraction strips, tape diagrams, and number lines to make sense of the size of fractions, generate equivalent fractions, and compare and order fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100. Students generalize that a fraction a/b is equivalent to fraction (nxa)/(nxb) because each unit fraction is being broken into n times as many equal parts, making the size of the part n times as small 1/(nxb) and the number of parts in the whole n times as many (nxa). For example, we can see 3/5 is equivalent to 6/10 because when each fifth is partitioned into 2 parts, there are 2×3 or 6 shaded parts, twice as many as before, and the size of each part is half as small, 1/(2×5) or 1/10. As the unit progresses, students use equivalent fractions and benchmarks such as 1×2 and 1 to reason about the relative location of fractions on a number line, and to compare and order fractions.
Number of Lessons: 16 and 1 optional
Instruction Time:
Approximately 60 minutes
(Please note that each lesson is designed for one instructional block, and may be divided into shorter or longer segments based on teacher pacing and student needs.)
