Unlock the secrets of multiplying whole numbers by fractions with our latest blog post, the eighth article in our comprehensive eleven-part series!
Each article in this series follows a cyclical learning approach, providing complete lessons on fractions and guiding your child step-by-step through the learning process. This post includes five video tutorials to enhance your child’s understanding.
Multiplying a whole number by a fraction can be perplexing. Why does multiplying 2/3 by 5 result in an answer smaller than 5? Shouldn’t multiplication make numbers bigger? The answer becomes clear when children learn to illustrate mathematical models. These visual aids show why 2/3 x 5 results in a smaller product. Without this illustration, many children struggle to understand the concept, leading to confusion and frustration in higher levels of math.
In our blog post, your child will:
- Learn to Illustrate Multiplication: Visual models help clarify why multiplying whole numbers by fractions often results in smaller numbers.
- Build a Strong Foundation: Step-by-step lessons ensure your child thoroughly understands each concept.
- Achieve Long-term Success: A solid grasp of fractions is crucial for future mathematical success.
Visit our website (https://www.teachersdungeon.com/) for a comprehensive educational program designed to help kids become proficient in mathematics. By mastering these concepts, your child will gain a deeper, more concrete understanding of multiplying whole numbers by fractions, paving the way for a successful educational journey. Don’t miss out on this valuable resource—empower your child’s learning today.
Articles within this series on Fractions:
- How to do fractions, Free Online Tutoring in Math for Understanding Fractions
- How to Add Fractions (like 4/7 + 3/7 )
- How to Subtract Fractions (like 8/9 – 4/9 )
- How to Add Fractions with Unlike Denominators (like 2/3 + 3/4 )
- How to Subtract Fractions with Unlike Denominators (like 2/3 – 1/4)
- How to Add Fractions that are Mixed Numbers (like 2 & 3/4 + 3 & 5/6 )
- How to Subtract Fractions that are Mixed Numbers (like 3 & 3/4 – 2 & 5/6)
- How to Multiply Fractions (like 2/3 x 5 )
- How to Divide Fractions (like 6 ÷ ¾ )
- How to Multiply Fractions (like 2/3 x 1/4)
- How to Divide Fractions (like ½ ÷ ¼)
Solving problems that deal with fractions is simple when you develop a concrete understanding. I have had incredible results with with the students in my class! The strategies taught within this article work with children who have ADHD, Dyslexia, and other learning disabilities. Virtually every one of my students who has learned the strategies within this HOW TO DO FRACTIONS article has passed the standards based assessment for adding, subtracting, multiplying and dividing fractions.
I have scaffold the problems in each lesson.
The first problem in this article is a “Watch Me” problem. The second is a “Work with Me” problem. All the rest are “On Your Own” problems.
*If your child needs a bit more support, they should complete the “On Your Own” problems as a “Work with Me” problem. I have a number of students with gaps in their learning and others with a variety of learning disabilities. I have had incredible success, by having those students complete 5 to 7 problems within each lesson as a “Work with Me” problem. They play a bit of the video, then pause it and copy, then watch a bit more, pause it and copy. My students Play – Pause – and Copy until the entire problem is solved. This is like having a personal tutor working through each and every problem with your child. Every one of my students who has used this strategy has passed the Common Core Proficiency Exam.
How to Multiply Fractions
Online Tutoring in Math: Challenge 1
Watch Me
Evian Drinking Kangaroo
You are a scientist studying the strange occurrence of a kangaroo that drinks nothing but Evian water. You are tasked with the job of making sure that the kangaroo drinks the correct amount of water. You have 5 bottles of Evian water. You must feed the kangaroo exactly 2/3 of the Evian water.
How much water will you give the kangaroo?
Watch this Free Tutoring for Math Video!
Press PLAY and Watch this Free Tutoring for Math Video below. Then copy these strategies into your notes!
How to Multiply Fractions
Online Tutoring in Math: Challenge 2
Work With Me
Long-Eared Carrot Eaters
Ever since you were tiny-tiny you loved bunnies. For your last birthday, your parents bought you two baby bunnies. You love petting their long ears as they nibble away at their food. Last night you gave them 6-carrots. They ate 4/7 of the carrots.
How much did your Long Eared Carrot Eaters eat?
Watch this Free Tutoring for Math Video!
Gather your materials and press PLAY. We’ll solve this problem together, while you watch the math tutorial video below.
Do your children get frustrated when they make a mistake?
We all make mistakes. As a matter of fact, making mistakes is an essential part of the learning process. This is why at the end of each of the following “On Your Own” challenges I encourage children to fix their mistakes. Finding and fixing your own mistake is the fastest way to learn.
How to Multiply Fractions
Online Tutoring in Math: Challenge 3
On Your Own
Pink Flamingo Research
You are a biologist researching pink flamingos and their diet. You are tasked with the job of discovering how much they eat. You watch as a pink flamingo eats 11 shrimp. However, you notice that the flamingo only eats 3/4 of each shrimp. The flamingo spits the rest of the shrimp into the water, where tiny fish nibble at the remains.
How much shrimp have you observed the pink flamingoes eat?
Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
How to Multiply Fractions
Online Tutoring in Math: Challenge 4
On Your Own
Peter Piper the Pretty Praying Mantis
You have a pet Praying Mantis named Peter Piper the Pretty Praying Mantis. He is your favorite pet. Not only is he unique, quirky, and pretty, but he eats the mosquitoes that try to bite you. However, Peter Piper does not care for the legs, so he only eats 4/5 of each mosquitoes. Yesterday, Peter Piper ate 7 mosquitoes.
How much did Pete Piper the Pretty Praying Mantis actually eat?
Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
How to Multiply Fractions
Online Tutoring in Math: Challenge 5
On Your Own
Thor the Thirsty Rhino
Thor the Thirsty Rhino is searching the arid African Plains for a watering hole. He is so thirsty that he can think of little else. In the past week he has only found 4 small ponds. He drank 2/3 of a quart from each pond.
How many quarts of water has Thor the Thirsty Rhino drank in the past week?
Watch this Free Tutoring for Math Video!
Once you complete the problem – Hit PLAY on the math tutorial video below. Good Luck!
Want More Tutorials?
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