Download Fractions - The Liberty Common School

3rd Grade Core Knowledge
Math
Fractions
Summary
In this domain, students will continue adding to their knowledge of fractions. Students will build on their
knowledge of fractions being part of a whole while moving toward the addition of like fractions and the
comparison of fractions.
The Big Idea
Fractions and decimals are two ways to express numbers that are not whole.
Colorado State Standards
MA3.1.2.a.Use drawings, models, and numerals to represent fractions (halves, thirds, fourths, sixths,
eighths) based on a whole shape, number set, or number line
MA3.1.2.c.Describe why equivalent fractions are two ways of modeling the same quantity using a model or
drawing
MA4.1.3.a.Solve comparison problems using models of fractions with like and unlike
denominators through 10
MA4.1.3.b.Estimate and justify the reasonableness of solutions to problems involving comparison of fractions
MA4.1.3.c.Demonstrate equivalent fractions, decimals, and percents using drawings and models
MA5.1.2.a.Find equivalent forms of commonly used fractions, decimals, and percents using models,
drawings, and computational strategies
Common Core Standards
3.NF 1. Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b
equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
3.NF 3. Explain equivalence of fractions in special cases, and compare fractions by reasoning about
their size.
a. Understand two fractions as equivalent (equal) if they are the same size, or the same
point on a number line.
b. 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.
d. Compare two fractions with the same numerator or the same denominator by
reasoning about their size. Recognize that comparisons are valid only when the two
fractions refer to the same whole. Record the results of comparisons with the symbols >, =,
or <, and justify the conclusions, e.g., by using a visual fraction model.
Core Knowledge Unit:
 Recognize fractions to 1/10
 Identify numerator and denominator
 Recognize equivalent fractions
 Compare fractions with like denominators
Singapore Math
 Recognize fractions of a whole.
 Visualize relative sizes of fractions of a whole
 Identify numerator and denominator
 Recognize equivalent fractions with denominators up to 12
 Compare fractions with like denominators
 Compare fractions with like numerators
 Identify simplest form

Compare and order fractions
Previous Unit: Bar Graphs
Prior Knowledge
 Recognize fractions are part of a whole
Next Unit: Geometry
What Students will Learn in Future Grades
 Add and subtract fractions with like denominators
 Add and subtract fractions with unlike denominators
 Write mixed fractions
 Add and subtract mixed fractions
 Convert improper fractions to mixed fractions
 Identify fractions of a set (ex. ¾ of 20)
Additional Resources
For Teachers:
 Primary Mathematics 3B Teacher’s Edition
 Primary Mathematics 3B Textbook
For Children:
 Primary Mathematics 3B Textbook
 Primary Mathematics 3B Workbook
 Extra Practice 3 Workbook