Curriculum Library

Fractions Big Idea 7: Adding/Subtracting Improper Fractions/Mixed Numbers with Uncommon Denominators

Key Concept: If two fractions are related, then an equivalent form of one fraction can be written so that its denominator is the same as the second fraction.

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Lesson Sequences

F.7-1-1 Find Common Denominators for Improper Fractions  |
View Lesson Opener Talk-About (8-10 min)
View Guided Lesson Use the “one” fraction procedure to find a common denominator for two related improper fractions with and without models. (8-15 min)
View Lesson Closer Explain & Solve (5 min)
F.7-1-2 Add/Subtract Related Improper Fractions  |
View Lesson Opener Hands-On (8-10 min)
View Guided Lesson Use models and the “one” fraction procedure to find a common denominator for two related improper fractions in order to complete addition or subtraction equations.. (8-15 min)
View Lesson Closer Apply Your Knowledge (5 min)
F.7-1-3 Review How to Convert Improper Fractions  |
View Lesson Opener Think-Pair-Share (8-10 min)
View Guided Lesson Convert improper fractions to mixed numbers with and without the use of models. (8-15 min)
View Lesson Closer Agree/Disagree (5 min)
F.7-1-4 Add Related Improper Fractions: Convert Sum  |
View Lesson Opener Think-Pair-Share (8-10 min)
View Guided Lesson Add related improper fractions and convert the sum to a mixed number with the help of models. (8-15 min)
View Lesson Closer Apply Your Knowledge (5 min)
Real World Investigation Part 1    
View South Shore's Running Club: South Shore's Data
Key Concept: If two fractions are related, then an equivalent form of one fraction can be written so that its denominator is the same as the second fraction.

Lesson Sequences

F.7-2-1 Find Common Denominators for Related Mixed Numbers  |
Lesson Plan
View Lesson Opener Talk-About (8-10 min)
View Guided Lesson Use the “one” fraction procedure to find a common denominator for two related mixed numbers with and without models. (8-15 min)
View Lesson Closer Explain & Solve (5 min)
F.7-2-2 Add/Subtract Related Mixed Numbers  |
Lesson Plan
View Lesson Opener Hands-On (8-10 min)
View Guided Lesson Use models and the “one” fraction procedure to find a common denominator for two related mixed numbers in order to complete addition or subtraction equations.. (8-15 min)
View Lesson Closer Explain & Solve (5 min)
F.7-2-3 Convert to Add Related Mixed Numbers  |
Lesson Plan
View Lesson Opener Think-Pair-Share (8-10 min)
View Guided Lesson Add related mixed numbers and convert the sum to a mixed number with the help of models. (8-15 min)
View Lesson Closer Apply Your Knowledge (5 min)
F.7-2-4 Convert to Subtract Related Mixed Numbers  |
Lesson Plan
View Lesson Opener Think-Pair-Share (8-10 min)
View Guided Lesson Convert mixed number minuends of related mixed numbers to improper fractions in order to complete subtraction equations. (8-15 min)
View Lesson Closer Explain & Solve (5 min)
Real World Investigation Part 2    
View South Shore's Running Club: Create Some Data
Key Concept: If two fractions are not related, then equivalent forms will be needed for both fractions before you can add or subtract the fractions.

Lesson Sequences

F.7-3-1 Model/Write Common Denominators-Unlike Fractions  |
Lesson Plan
View Lesson Opener Talk-About (8-10 min)
View Guided Lesson Use the “one” fraction procedure to find a common denominator for two unlike fractions or mixed numbers with and without models. (8-15 min)
View Lesson Closer Explain & Solve (5 min)
F.7-3-2 Add/Subtract Unlike Fractions  |
Lesson Plan
View Lesson Opener Think-Pair-Share (8-10 min)
View Guided Lesson Use the “one” fraction procedure to find a common denominator for two unlike fractions or mixed numbers with and without models. (8-15 min)
View Lesson Closer Agree/Disagree (5 min)
F.7-3-3 Add Unlike Improper Fractions-Convert Sum  |
Lesson Plan
View Lesson Opener Think-Pair-Share (8-10 min)
View Guided Lesson Add related mixed numbers and convert the sum to a mixed number with and without the use of models. (8-15 min)
View Lesson Closer Apply Your Knowledge (5 min)
F.7-3-4 Convert to Subtract Unlike Mixed Numbers  |
Lesson Plan
View Lesson Opener Hands-On (8-10 min)
View Guided Lesson Convert mixed number minuends of unlike mixed numbers to improper fractions in order to complete subtraction equations. (8-15 min)
View Lesson Closer Explain & Solve (5 min)
Real World Investigation Part 3    
View Your Running Club: Your Data
Key Concept: Addition and subtraction of fractions can be used to solve a variety of problems.

Lesson Sequences

F.7-4-1 Compare Equations of Uncommon Fractions  |
Lesson Plan
View Lesson Opener Talk-About (8-10 min)
View Guided Lesson Use 4 strategies to compare fractions and fraction expressions with uncommon denominators. (8-15 min)
View Lesson Closer Explain & Solve (5 min)
F.7-4-2 Add/Subtract Uncommon Fractions With Unknowns  |
Lesson Plan
View Lesson Opener Think-Pair-Share (8-10 min)
View Guided Lesson Solve for the unknown in an addition or subtraction equation of unlike fractions with and without the use of models. (8-15 min)
View Lesson Closer Apply Your Knowledge (5 min)