Fraction Fluency

(6th Grade)

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 6: Quotients

In standard 6.NS.A.1 students demonstrate their understanding of division of fraction by fraction in advanced ways. Such as: given a word problem, use questions and pictures to solve.
Or, given an equation, write a word problem and use a visual model to represent the equation.
Students should be able to understand division of fractions by fractions well enough that they can represent division in any of the 5 representations.
All instruction on fractions should build representational capacity in our students, teaching fractions in many ways so they can do so with fraction division in 6th grade.

6.NS.A.1

Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?.

Module 3 • Form A Test

Grade 6 Module 3 Form A Test.pdf

Module 4 • Form A Test

Grade 6 Module 4 Form A Test.pdf

INTO MATH: Division with Fractions

Divide fractions with the same denominators. (Lesson 3.1)
Divide fractions with unlike denominators. (Lesson 3.2)
Divide mixed numbers. (Lesson 3.3)
Divide fractions and mixed numbers. (Lesson 3.4)
Use LCM and GCF to add, subtract, multiply, and divide fractions. (Lesson 3.5)

INTO MATH: Multi-Digit Decimal Operations

Add and subtract multi-digit decimals. (Lesson 4.1)
Multiply multi-digit decimals. (Lesson 4.2)
Divide multi-digit whole numbers using the standard algorithm. (Lesson 4.3)
Divide multi-digit decimals using the standard algorithm. (Lesson 4.4)
Solve real-world problems involving operations with multi- digit decimals. (Lesson 4.5)

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