Fraction Fluency
(4th Grade)
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Proficiency with fractions is an important foundation for learning more advanced mathematics. Fractions are a student’s first introduction to abstraction in mathematics and, as such, provide the best introduction to algebra in the elementary and middle school years. (Skip Fennel, NCTM)
Grade 4: Decimals and Operations with Fractions
Grade 4: Decimals and Operations with Fractions
Important Idea in CCSS: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers
Important Idea in CCSS: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers
Grade 4 students continue to explore equivalence by using visual fraction models (4.NF.A.2.a) and common numerators, denominators, and benchmark fractions to compare fractions (4.NF.A.2).
Students also learn that the whole can refer to a set of objects (4.NF.B.3.a).
Fourth graders understand that addition and subtraction of fractions is joining and separating parts of the same whole (4.NF.B.3.a and b).
They also begin to perform formal operations (addition, subtraction, and multiplication) with fractions and mixed numbers (4.NF.B.3.c and 4.NF.B.4).
Students use drawings, visual models, and equations to solve word problems using fractions (4.NF.B.3.d and 4.NF.B.4).
In addition, Grade 4 students begin their study of decimal fractions as a special case of fractions with denominators that are powers of 10 (4.NF.C.5, 4.NF.C.6, and 4.NF.C.7).
The Measurement and Data domain of the standards also includes the use of measurement units expressed as fractions and decimals (4.MD.A.2 and 4.MD.B.4).
Module 11 • Form A Test
Module 11 • Form A Test
4th Grade Module 11 Form A Test.pdfModule 15 • Form A Test
Module 15 • Form A Test
Grade 4 Module 15 Form A Test.pdfINTO MATH: Fraction Equivalence
INTO MATH: Fraction Equivalence
Use visual models and benchmarks to compare fractions with unlike numera- tors and denominators. (Lessons 11.1 and 11.2)
Use visual fraction models to explain why two fractions are or are not equivalent. (Lesson 11.3)
Identify and write equivalent fractions to compare fractions using common numerators or common denominators. (Lessons 11.4–11.6)
Use various comparison strategies to order sets of fractions. (Lesson 11.7)
Rename mixed numbers as fractions greater than one and vice versa by using representations such as visual models or fraction bars. (Lesson 15.2)
Module 14 • Form A Test
Module 14 • Form A Test
Grade 4 Module 14 Form A Test.pdfINTO MATH: Addition and Subtraction with Fractions
INTO MATH: Addition and Subtraction with Fractions
Write fractions in multiple ways as the sum of fractions with the same denominator. (Lesson 14.1)
Solve problems involving addition and subtraction of fractions with like denominators using visual representations and equations. (Lessons 14.2–14.5)
Use a common denominator of 100 to add two fractions with denominators of 10 and 100. (Lesson 14.6)
Apply skills in adding and subtracting fractions with like denominators to those whose numerators are greater than their denominators. (Lesson 15.1)
Add and subtract mixed numbers. (Lessons 15.3–15.6)
Module 16 • Form A Test
Module 16 • Form A Test
Grade 4 Module 16 Form A Test.pdfModule 12 • Form A Test
Module 12 • Form A Test
Grade 4 Module 12 Form A Test.pdfINTO MATH: Multiplication and Fractions
INTO MATH: Multiplication and Fractions
Write a fraction as a multiple of a whole number and a unit fraction. (Lesson 16.1)
Write the product of a whole number and a fraction as the product of a whole number and a unit fraction. (Lesson 16.2)
Use a visual representation to find the product of a whole number and a fraction, and model it with numbers and symbols.
(Lesson 16.3)
Find the solutions to problems involving multiplication of fractions or mixed numbers and whole numbers. (Lesson 16.4)
INTO MATH: Decimals and Fractions
INTO MATH: Decimals and Fractions
Record tenths and hundredths as fractions and as decimals. (Lessons 12.1 and 12.2)
Express equivalent fractions as decimals, and compare decimals using visual models, number lines, or place value. (Lessons 12.3 and 12.4)
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