## Fractions

**BIG IDEAS****:**

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

- Fractions can represent parts of regions, parts of sets, parts of measures, division, or ratios. These meanings are equivalent.
- A fraction is not meaningful without knowing what the whole is.
- Renaming fractions is often the key to comparing them or computing with them. Every fraction can be renamed in an infinite number of ways.
- Operations with fractions have the same meanings as operations with whole numbers, even though the algorithms differ.

**STUDENT LEARNING GOALS:**

**GOAL 3a: I can represent fractions and their equivalents.**

- VIDEO: Introduction to Fractions
*(Source: Math Antics)* - VIDEO: Numerators and Denominators
*(Source: Khan Academy)* - VIDEO: Improper Fractions and Mixed Numbers
*(Source: Schmoop)* - VIDEO: Converting between Mixed Numbers and Improper Fractions
*(Source: Power Bytz)* - VIDEO: Equivalent Fractions
*(Source: Khan Academy)* - VIDEO: Fractions in Lowest Terms
*(Source: Khan Academy)* - QUIZ: Representing Fractions
*(Source: Nelson Education)* - QUIZ: Equivalent Fractions
*(Source: Nelson Education)* - QUIZ: Improper Fractions and Mixed Numbers
*(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: Fresh Baked Fractions – equivalents
*(Source: FunBrain)* - GAME: Fractions Monkeys – equivalents
*(Source:FractionMonkey)*

**GOAL #3b: Comparing and Ordering Fractions and Mixed Numbers**

- VIDEO: Comparing Fractions – by making common denominators
*(Source: Math Antics)* - VIDEO: Comparing Fractions – cross multiplying and as decimals
*(Source: Math Antics)* - QUIZ: Comparing and Ordering Fractions
*(Source: Nelson Education)* - QUIZ: Comparing Fractions with Unlike Denominators
*(Source: Nelson Education)* - GAME: Dirt Bike Comparing Fractions
*(Source: Arcademics)* - GAME: Ordering Fractions (Source: BBC Skillswise)

**GOAL #4a: Adding and Subtracting Fractions with Like Denominators**

- VIDEO: Adding Fractions with the Same Denominator
*(Source: Khan Academy)* - VIDEO: Subtracting Fractions with the Same Denominator
*(Source: Khan Academy)* - VIDEO: Adding and 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)* - QUIZ: Adding and Subtracting Fractions with Like Denominators (Source: Soft Schools)
- QUIZ: Adding and Subtracting Mixed Numbers with Like Denominators (Source: mrnussbaum.com)
- GAME: Fruit Splat Addition – play level 2B
*(Source: Sheppard Software)* - GAME: Feed Me Fractions
*(Source: ABCya)* - GAME: Fruit Splat Subtraction – plat level 1B
*(Source: Sheppard Software)*

**GOAL #4b: Adding and Subtracting Fractions with Unlike Denominators**

- 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 Fractions with Models
*(Source: Nelson Education)* - QUIZ: Subtracting Models with Models
*(Source: Nelson Education)* - QUIZ: Adding and Subtracting Mixed Numbers
*(Source: Nelson Education)* - QUIZ: Adding and Subtracting Fractions with Unlike Denominators
*(Source: Nelson Education)* - GAME: Speedway Fractions
*(Source: Arcademics)*

**GOAL #4c: Multiplying and Dividing Fractions by Whole Numbers**

- VIDEO: Multiplying Fractions using a Number Line
*(Source: Khan Academy)* - VIDEO: Multiplying Fractions using a Model
*(Source: Rojo5th)* - VIDEO: Dividing Fractions using a Model
*(Source: LearnZillion)* - VIDEO: Dividing Wholes by Fractions using Number Lines
*(Source: Max Nazarian)* - PRACTICE: Visual Fraction Models – Multiplication
*(Source: XP Math)* - PRACTICE: Dividing Unit Fractions by Whole Numbers
*(Source: Math Games)* - QUIZ: Multiplying Whole Numbers by Fractions (Source: Nelson Education)
- GAME: MathMan – Fractions of a Number
*(Source: Sheppard Software)* - GAME: Divide and Grab
*(Source: Turtle Diary)*

**CURRICULUM EXPECTATIONS:**

- Represent, compare, and order decimals to hundredths and fractions, using a variety of tools (e.g., number lines, Cuisenaire rods, base ten materials, calculators);
- Select and justify the most appropriate representation of a quantity (i.e., fraction, decimal, percent) for a given context (e.g., “I would use a decimal for recording the length or mass of an object, and a fraction for part of an hour.”);
- Demonstrate an understanding of addition and subtraction of fractions…, and apply a variety of computational strategies to solve problems involving whole numbers and decimal numbers;
- Divide whole numbers by simple fractions and by decimal numbers to hundredths, using concrete materials;
- Use a variety of mental strategies to solve problems involving the addition and subtraction of fractions;
- Add and subtract fractions with simple like and unlike denominators, using a variety of tools (e.g., fraction circles, Cuisenaire rods, drawings, calculators) and algorithms;
- Demonstrate, using concrete materials, the relationship between the repeated addition of fractions and the multiplication of that fraction by a whole number.