Fraction Fluency
(5th Grade)
Embedded Files
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 5: Unlike Denominators
Grade 5: Unlike Denominators
Important Ideas in CCSS:
Important Ideas in CCSS:
Use equivalent fractions as a strategy to add and subtract fractions
Use equivalent fractions as a strategy to add and subtract fractions
Apply and extend previous understandings of multiplication and division to multiply and divide fractions
Apply and extend previous understandings of multiplication and division to multiply and divide fractions
In Grade 5 students begin adding and subtracting fractions with unlike denominators (5.NF.A.1) and progress to solving application problems involving all operations (5.NF.A.2, 5.NF.B.3, 5.NF.B.6, 5.NF.B.7.b).
Students continue to use drawings, visual fraction models, place value understanding, and equations to explain their reasoning.
Fifth graders begin to interpret multiplication as scaling (5.NF.B.5).
Students also apply their knowledge of division to divide unit fractions by whole numbers and whole numbers by fractions, though division of a fraction by a fraction is not a requirement at this grade (5.NF.B.7).
Grade 5 students also use all operations in their work with decimals (5.NBT.B.7), using both models and equations.
Module 6 • Form A Test
Module 6 • Form A Test
Grade 5 Module 6 Form A Test.pdfModule 7 • Form A Test
Module 7 • Form A Test
Grade 5 Module 7 Form A Test.pdfINTO MATH: Fraction Equivalence
INTO MATH: Fraction Equivalence
Use equivalent fractions to rewrite pairs of fractions with a common denominator. (Lesson 6.4)
INTO MATH: Addition and Subtraction with Fractions
INTO MATH: Addition and Subtraction with Fractions
Use visual models to generate fractions having same-sized parts in addition and subtraction expressions when the fractional parts are not the same size. (Lesson 6.1)
Use visual models to add and subtract fractions with different-sized parts. (Lessons 6.2 and 6.3)
Use benchmark fractions to estimate sums and differences of fractions with unlike denominators. (Lesson 7.1)
Add and subtract fractions and mixed numbers with unlike denominators using common denominators, and assess reasonableness. (Lessons 7.2–7.5)
Write equations to solve addition and subtraction problems. (Lesson 7.6)
Module 8 • Form A
Module 8 • Form A
Grade 5 Module 8 Form A Test.pdfModule 9 • Form A
Module 9 • Form A
Grade 5 Module 9 Form A Test.pdfINTO MATH: Multiplication and Fractions
INTO MATH: Multiplication and Fractions
Represent a fractional part of a group. (Lesson 8.1)
Represent the multiplication of a whole number by a fraction. (Lesson 8.2)
Use a visual model to represent multiplication of fractions. (Lessons 8.3–8.5)
Relate the size of the product compared to the size of one factor when multiplying fractions. (Lesson 8.6)
Multiply with fractions using an algorithm. (Lesson 8.7)
Use an area model to represent multiplication of mixed numbers. (Lessons 9.1–9.3)
Module 10 • Form A Test
Module 10 • Form A Test
Grade 5 Module 10 Form A Test.pdfModule 11 • Form A Test
Module 11 • Form A Test
Grade 5 Module 11 Form A Test.pdfINTO MATH: Division with Fractions
INTO MATH: Division with Fractions
Interpret a fraction as division and solve whole-number division problems that result in a fraction or mixed number. (Lesson 10.1)
Divide a unit fraction by a whole number and a whole number by a unit fraction by using visual fraction models and write word problems to represent it. (Lessons 10.2–10.5)
Use a visual model to divide a whole number by a unit fraction and to divide a unit fraction by a whole number. (Lessons 11.1–11.6)
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