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 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.

FRACTIONS

WRITING FRACTIONS AS DECIMALS

COMPARING AND ORDERING FRACTIONS

SIMPLIFYING AND IMPROPER

ADDING AND SUBTRACTING FRACTIONS

MULTIPLYING FRACTIONS

DIVIDING FRACTIONS

TEST PREPARATION

ONLINE PRACTICE AND GAMES