Learn Fractions from Scratch

Struggle with fractions and want a better understanding of the concepts? This fractions course is for you!

What you’ll learn
Define what a fraction is
Learn about fractions equivalency and how to create equivalent fractions
Identify Factors and Greatest Common Factors
Understand what prime factorization is and how to use prime factorization
Define what composite numbers are
Add and subtract fractions with like and unlike denominators
Be able to reduce (simplify) fractions
Distinguish the difference between factors and multiples
Know what Least Common Multiple (LCM) and Least Common Denominator (LCD) is
Be able to multiply fractions with whole numbers using models (conceptual approach)
Learn to multiply fractions by fractions using models (conceptual approach)
Use the algorithm (step-by-step procedure) for multiplying fractions
Understand how to divide fractions by whole numbers using models (conceptual approach)
Know how to divide whole numbers by fractions using models (conceptual approach)
Be able to divide fractions by fractions using fraction bars (conceptual approach)
Learn how to divide fractions involving word problems by using factor-label method (Dimensional Analysis)
Define what improper fractions and mixed numbers are and how to convert them
Add mixed numbers with like (common) denominators using area models (conceptual approach)
Add mixed numbers with like/unlike denominators using the algorithm (step-by-step procedure)
Be able to subtract mixed numbers with like and unlike denominators using area models (conceptual approach) and the algorithm (step-by-step procedure)
Subtract mixed numbers with regrouping using area models and the algorithm
Be able to multiply mixed numbers and fractions using area models and the algorithm
Divide mixed numbers and fractions using area models and the algorithm

Requirements
Be able to add and subtract whole numbers
Know multiplication facts
Be able to multiply multi-digit whole numbers
Know how to divide whole numbers

Description
The primary objective of this course is to gain fluency in fractions. In other words, you’ll learn how to read, write, and speak fractions.Yes, fractions are a part of daily life, but they are also a part of the arithmetic curriculum in school. Usually, 1st – 7th graders are on this tract. However, I’ve found that students tend to struggle with fractions until 8th grade (Pre-Algebra). I have designed this course for students who struggle with fractions and want a deeper understanding of the concepts before proceeding to higher-level math. Furthermore, this course focuses on adding, subtracting, multiplying, and dividing fractions, emphasizing learning conceptually (with deep understanding) and not just learning the algorithm (step-by-step procedure) or memory techniques. This course also includes real-world example problems you may encounter along your math journey.Before enrolling in this course, please be able to add and subtract whole numbers, know your multiplication facts, multiply multi-digit numbers, and divide real numbers. If any questions, comments, or concerns are related to anything taught in the course, please let them be made known. I wish you nothing but success on your math journey, and hopefully, this course will drive out any fear you may have of fractions.

Overview
Section 1: Introduction to Fractions

Lecture 1 Intro to Fractions

Lecture 2 Equivalent Fractions (Concept)

Lecture 3 Equivalent Fractions (Algorithm)

Lecture 4 Reduce Fractions to Lowest Terms (Simplest Form)

Lecture 5 Factors and Greatest Common Factors (GCF)/Equivalent Fractions

Lecture 6 Factor Trees and the Ladder Method

Lecture 7 Prime Factorization

Lecture 8 Composite Numbers

Lecture 9 Fractions and their Equivalents Review

Section 2: Adding and Subtracting Fractions

Lecture 10 Intro to Adding and Subtracting Fractions

Lecture 11 Adding and Subtracting Fractions with Like Denominators and Simplifying

Lecture 12 Intro to Adding and Subtracting Fractions with Unlike Denominators

Lecture 13 Intro to Adding Fractions with Unlike Denominators Pt 2

Lecture 14 Intro to Subtracting Fractions with Unlike Denominators

Lecture 15 Intro to Subtracting Fractions with Unlike Denominators Pt 2

Lecture 16 The Difference between Factors and Multiples

Lecture 17 What is Least Common Multiple (LCM) and Least Common Denominator (LCD)

Lecture 18 Adding and Subtracting Fractions with Unlike Denominators Practice

Lecture 19 Advanced Practice LCM and Adding/Subtracting Fractions with Unlike Denominators

Section 3: Introduction to Multiplying Fractions

Lecture 20 Multiplying Fractions and Whole Numbers Using Models

Lecture 21 Multiplying Fractions by Fractions Using Models

Lecture 22 Multiplying Fractions Using the Algorithm (Step-by-Step Procedure)

Section 4: Introduction to Dividing Fractions

Lecture 23 Dividing Fractions by Whole Numbers Using Models

Lecture 24 Dividing Whole Numbers by Fractions Using Fraction Bars/Models

Lecture 25 Dividing Fractions by Fractions Using Fraction Bars

Lecture 26 Dividing Fractions Using Dimensional Analysis (Factor-Label Method) Word Problem

Lecture 27 Dividing Fractions Using Dimensional Analysis (Factor-Label Method) Pt 2

Section 5: Introduction to Improper Fractions and Mixed Numbers

Lecture 28 Intro to Improper Fractions and Mixed Numbers

Lecture 29 Converting Improper Fractions to Mixed Numbers and Simplying

Lecture 30 Converting Mixed Numbers into Improper Fractions

Section 6: Introduction to Adding Mixed Numbers with Like/Unlike Denominators Using Models

Lecture 31 Intro to Adding Mixed Numbers with Like Denominators Using Area Models

Lecture 32 Intro to Adding Mixed Numbers with Unlike Denominators Using Area Models

Lecture 33 Adding Mixed Numbers with Like and Unlike Denominators Using the Algorithm Pt 1

Lecture 34 Adding Mixed Numbers with Like and Unlike Denominators Using the Algorithm Pt 2

Section 7: Subtracting Mixed Numbers with Like and Unlike Denominators

Lecture 35 Subtracting Mixed Numbers with Like and Unlike Denominators Using Area Models

Lecture 36 Subtracting Mixed Numbers with Like and Unlike Denominators Using the Algorithm

Lecture 37 Subtracting Mixed Numbers Using the Algorithm Pt 2

Lecture 38 Subtracting Mixed Numbers with Regrouping and Using Area Models

Lecture 39 Subtracting Mixed Numbers with Regrouping Using the Algorithm

Lecture 40 Subtracting Mixed Numbers w/ Regrouping (Different Examples) Using the Algorithm

Section 8: Multiplying Mixed Numbers

Lecture 41 Multiplying Mixed Numbers Using an Area Model

Lecture 42 Multiplying a Mixed Number by a Fraction Using an Area Model

Lecture 43 Multiplying Mixed Numbers Using the Algorithm

Section 9: Dividing Mixed Numbers

Lecture 44 Dividing a Mixed Number by a Fraction Using Area Models

Lecture 45 Dividing a Mixed Number by a Mixed Number Using Area Models

Lecture 46 Dividing Fractions by Fractions with Relatively Prime Denominators with a Model

Lecture 47 Dividing Mixed Numbers Using the Algorithm Pt 1

Lecture 48 Dividing Mixed Numbers Using the Algorithm Pt 2

Students who struggle with the fractions part of their arithmetic course,Students who are in Pre-Algebra but still struggle with fractions,Students who want a better understanding of the concepts of fractions,Students who want to gain fluency in fractions at their own pace