Chapter 6: Add and Subtract Fractions with Unlike Denominators
5.NF.A.1 - Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.
5.NF.A.2 - Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
Chapter 6 Vocabulary
common denominator - a denominator that is the same in two or more fractions.
denominator - the number below the bar in a fraction that tells how many equal parts are in the whole or in the group
equivalent fractions - fractions that have the same value
numerator - the part of a fraction above the line, which tells how many parts are being counted
common multiple - a number that is a multiple of two or more numbers
difference - the answer to a subtraction problem
mixed number - a number made up of a whole number and fraction
simplest form - the lowest form of a fraction
PSA: This chapter requires students to use information they learned in the third and fourth grade. Many students need a refresher with this material in order to be successful in Chapter 3. I have included a "Prerequisite Section" that will give students a quick recap of these concepts.
Prerequisite Skills
Modeling Fractions
Students will need to know how to visually model fractions and mixed numbers.
IXL Practice (click on the links below)
Fraction models equivalent to whole numbers
Make halves, thirds, fourths, sixths, and eighths
Creating Equivalent Fractions
Students will need to know how to create equivalent fractions.
IXL Practice (click on the links below)
Fractions equivalent to whole numbers
Equivalent fractions: find the missing numerator or denominator
Improper Fractions
Students will need to know how turn an improper fraction into a mixed number.
IXL Practice (click on the links below)
Mixed Numbers
Students will need to know what mixed numbers are and how to change them to improper fractions.
IXL Practice (click on the links below)
Convert between improper fractions and mixed numbers
Adding Fractions with Like Denominators
Students will need to know how to add fractions with like denominators.
IXL Practice (click on the links below)
Subtracting Fractions with Like Denominators
Students will need to know how to subtract fractions with unlike denominators.
IXL Practice (click on the links below)
Lesson 6
Lesson 6.1 - Investigate: Adding with unlike denominators
Students will use models to add fractions with unlike denominators.
IXL Practice (click on the links below)
Lesson 6.2 - Investigate: Subtracting With Unlike Denominators
Students will use models to subtract fractions with unlike denominators.
IXL Practice (click on the links below)
Lesson 6.3 - Estimate Fraction Sums and Difference
Students will make reasonable estimates of fraction sums and differences.
IXL Practice (click on the links below)
Estimate sums and differences of fractions using benchmarks
Compare sums and differences of unit fractions
Lesson 6.4 - Common Denominators and Equivalent Fractions
Students will find a common denominator or a least common denominator to write equivalent fractions.
IXL Practice (click on the links below)
Lesson 6.5 - Add and Subtract Fractions
Students will use equivalent fraction to add and subtract fractions.
IXL Practice (click on the links below)
Lesson 6.6 - Add and Subtract Mixed Numbers
Students will add and subtract mixed numbers with unlike denominators.
IXL Practice (click on the links below)
Add mixed numbers with unlike denominators
Subtract mixed numbers with unlike denominators
Add and subtraction mixed numbers with unlike denominators
Lesson 6.7 - Subtraction with Renaming
Students will rename to find the difference of two mixed number.
IXL Practice (click on the links below)
Add and subtraction mixed numbers with unlike denominators: word problems
Lesson 6.8 - Algebra: Patterns with Fractions
Students will identify, describe, and create numeric patterns with fractions.
IXL Practice (click on the links below)
Lesson 6.9 - Problem Solving: Practice Addition and Subtraction
Students will solve problems using the strategy working backwards.
IXL Practice (click on the links below)
Add and subtract fractions with unlike denominators: word problems
Lesson 6.10 - Algebra: Use Properties of Addition
Students will add fractions and mixed numbers with unlike denominators using the properties.
IXL Practice (click on the links below)