Operations involving Fractions

BIG IDEAS:(taken from “Big Ideas by Dr. Small”):

1. Fractions can represent parts of regions, parts of sets, parts of measures, division, or ratios. These meanings are equivalent.

2. A fraction is not meaningful without knowing what the whole is.

3. Renaming fractions is often the key to comparing them or computing with them. Every fraction can be renamed in an infinite number of ways.

4. Operations with fractions have the same meanings as operations with whole numbers, even though the algorithms differ.

STUDENT LEARNING GOALS:

GOAL: I can represent fractions and their equivalents; I can compare fractions.

• VIDEO: Introduction to Fractions (Source: Math Antics)

• VIDEO: Improper Fractions and Mixed Numbers (Source: Schmoop)

• VIDEO: Converting Mixed Numbers and Improper Fractions (Source: Power Bytz)

• VIDEO: Equivalent Fractions (Source: Khan Academy)

• VIDEO: Fractions in Lowest Terms (Source: Khan Academy)

• VIDEO: Comparing Fractions using common denominators (Source: Math Antics)

• VIDEO: Comparing Fractions by cross multiplication (Source: Math Antics)

• QUIZ: Representing Fractions (Source: Nelson Education)

• QUIZ: Equivalent Fractions (Source: Nelson Education)

• QUIZ: Improper Fractions and Mixed Numbers (Source: Nelson Education)

• QUIZ: Comparing and Ordering Fractions (Source: Nelson Education)

• QUIZ: Comparing Fractions with Unlike Denominators (Source: Nelson Education)

• GAME: Representing Fractions (Source: Nelson Education)

• GAME: Melvin’s Match – representing (Source: PBS Kids)

• GAME: Math Man – mixed and improper (Source: Sheppard Software)

• GAME: Dirt Bike Comparing Fractions (Source: Arcademics)

• GAME: Ordering Fractions (Source: BBC Skillswise)

GOAL #2: I can add and subtract fractions.

• VIDEO: Adding/Subtracting Fraction with Like Denominators (Source: Math Antics)

• VIDEO: Adding Mixed Numbers with Like Denominators (Source: Khan Academy)

• VIDEO: Subtracting Mixed Numbers with Like Denominators (Source: Khan Academy)

• VIDEO: Adding Fractions with Unlike Denominators (Source: Khan Academy)

• VIDEO: Subtracting Fractions with Unlike Denominators (Source: Khan Academy)

• VIDEO: Adding Mixed Numbers with Unlike Denominators (Source: Khan Academy)

• VIDEO: Subtracting Mixed Numbers (Source: Khan Academy)

• VIDEO: Adding Fractions Word Problem (Source: Khan Academy)

• VIDEO: Subtracting Fractions Word Problem (Source: Khan Academy)

• QUIZ: Adding/Subtracting Fractions with Like Denominators (Source: Soft Schools)

• QUIZ: Adding/Subtracting Mixed Numbers with Like Denominators (Source: mrnussbaum.com)

• QUIZ: Adding Fractions with Models (Source: Nelson Education)

• QUIZ: Subtracting Models with Models (Source: Nelson Education)

• QUIZ: Adding/Subtracting Fractions with Unlike Denominators (Source: Nelson Education)

• QUIZ: Adding and Subtracting Proper Fractions (Source: Nelson Education)

• QUIZ: Adding and Subtracting Mixed Numbers I (Source: Nelson Education)

• QUIZ: Adding/Subtracting Mixed Numbers II (Source: Nelson Education)

• GAME: Fruit Splat Addition (Source: Sheppard Software)

• GAME: Fruit Splat Subtraction (Source: Sheppard Software)

• GAME: Speedway Fractions (Source: Arcademics)

GOAL #3: I can multiply fractions and mixed numbers.

• VIDEO: Multiplying Fractions using a Number Line (Source: Khan Academy)

• VIDEO: Multiplying Fractions using a Model (Source: Rojo5th)

• VIDEO: Multiplying Fractions using an Area Model (Source: Rob Oliver)

• VIDEO: Multiplying Fractions (Source: Math Antics)

• VIDEO: Multiplying Mixed Number (Source: Khan Academy)

• PRACTICE: Multiplying Fractions (Source: Math Playground)

• PRACTICE: Multiplying Mixed Numbers (Source: Khan Academy)

• QUIZ: Fractions of Fractions (Source: Nelson Education)

• QUIZ: Multiplying Fractions (Source: Nelson Education)

• QUIZ: Multiplying Mixed Numbers (Source: Nelson Education)

• GAME: Snow Sprint Fractions (Source: Arcademics)

GOAL #4: I can divide fractions and mixed numbers.

• VIDEO: Dividing Fractions using a Model (Source: LearnZillion)

• VIDEO: Dividing Wholes by Fractions using Number Lines (Source: Max Nazarian)

• VIDEO: Dividing Fractions (Source: Math Antics)

• VIDEO: Dividing Mixed Numbers (Source: Khan Academy)

• PRACTICE: Dividing Fractions (Source: Math Playground)

• QUIZ: Dividing Fractions (Source: Nelson Education)

• QUIZ: Dividing Fractions and Mixed Numbers (Source: Nelson Education)

• QUIZ: Order of Operations involving Fractions (Source: Nelson Education)

• GAME: Moon Shoot (Source: Fractions4Kids)

CURRICULUM:

• represent, compare, and order rational numbers (i.e., positive and negative fractions and decimals to thousandths);

• use estimation when solving problems involving operations with whole numbers, decimals, percents, integers, and fractions, to help judge the reasonableness of a solution; – represent the multiplication and division of fractions, using a variety of tools and strategies

• solve problems involving addition, subtraction, multiplication, and division with simple fractions;