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Mixed Numbers, Improper Fractions & Ratios

This week covers mixed numbers and improper fractions, and how to convert between the two. We'll also look at how to add both of these together in our practice math problems. We'll also practice running a Lemonade Stand, get totally lost in four different math mazes, discover how ratios are different from fractions, and bounce our way into elastic energy calculations!

Beginner Level Math Class

Discover how easy it is to switch between mixed numbers and improper fractions by understanding what both really mean. We'll have lots of time for practice with different ways of making these important math skills fun and easy.

BONUS Mini-Escape Room on Mixed Numbers

Did you enjoy Aurora's math class this week? She mentioned that she had a bonus escape room activity for you, and here it is! Click to download and have fun working on mixed numbers and improper fractions!

Download your Fractions #4 Workbook

To help you with your daily practice, I've put together a set of workbooks. You can use these or your own workbooks as long as it covers fractions. Plan to complete 4-5 pages per day. After you complete the pages, you may check the answer key.

Fractions Workbook Videos

I've put together a set of videos that will walk you through this workbook, so grab yours and let's work together. Plan to complete 4-5 pages per day. After you complete the pages, you may check the answer key.

Basic Fractions Operations

This is a short coloring-page art project that will help you if you are still struggling with basic fractions operations by making a quick reference sheet with sample problems.

Fractions Maze!

Let's practice adding and subtracting fractions with this fun fraction maze!

Fractions Game: BUMP!

It's fun to play games with a friend while honing our math skills! This is a version of "Bump!" that has basic fractions operations and only needs a set of dice and 8 markers (I used coins) per player.

Intermediate Level Math Class

Are you ready to really practice your new fraction math skills? Let's get really good at fractions so we can use them for anything we need to!

In Class Activity: Run a Lemonade Stand

You can work through the entire activity on your own, but if you'd like to do it alongside me, use the videos below.

Going for a Walk

Do you like to go for a walk with fractions? Let's go!

Math Games: Fractions War

Let's play a game using the same fraction cards you printed out for Fraction SPOONS in Week #2! We're going to work on reducing, expanding and organizing our fractions with this simple game.

Fractions Maze: Multiplying Mixed Numbers
& Improper Fractions

It's fun to get lost in a maze when we're learning a new skill, like multiplying fractions!

Fraction Maze: Scaling Fractions

Now let's try scaling fractions to find our way to the finish line!

Fractions Game: 3 & 4 in a Row

Let's play a couple of fun games together as we practice our math operations! Print out your handout and let's go through them together so you see how it works. Do you have two dice and and a couple of crayons? Go get them and let's go!

Advanced Level Math Class

Advanced students will focus on doing calculations as well as working on practical application of fractions. You'll need to have a firm grasp of fractions (operations like adding, subtracting, multiplying dividing as well as going between improper fractions and mixed numbers) and also be comfortable with decimals in order to go through the content covered in the Advanced level.

Math Labs

This week I've put together two different kinds of math labs: the first set is a lab from my university engineering classes on collisions  and impact (called the "Bouncy Ball Lab") and the second takes our exploration of ratios up a notch with some real world practice problems! These practice problems are an extension of the hands-on ratio labs from last week with gears.

You can opt to do any of these, or if they are too difficult, feel free to go back and do Math Labs from a previous week you skipped over.

Ratios & Proportions

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and the ratio of oranges to the total amount of fruit is 8:14 (or 4:7).

In the previous session, we spent time doing hands-on labs to get familiar with how ratios work, and this week we'll go through several real-world problems together with the packet below.

Math Challenge

Each session, I have a special Math Challenge for you to work on after you work through some of the content in this area of math. The goal for these special math challenges is for you to be able to communicate your great ideas with your family and friends, without them being in a math class or having any knowledge of a specific area of math. You should be able to convey your great ideas to most people that are interested in hearing what you have to share. Many families find this part of the math program exciting for them to participate in with their student!