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Mixed Numbers & Improper Fractions
Explore how mixed numbers and improper fractions can be added, subtracted, multiplied and divided by doing fun mazes, playing math games and racing paper airplanes. We'll also have a Measurement Practice Test for the Standard System and advanced students will learn how to use Architectural Scales using a 6-sided ruler with 11 different scales.
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.
Fractions Game: Tic Tac Toe #1
Let's practice our fractions operations with this fun fraction game!
Fractions Skills Practice Test in Measurement
We've been working hard on learning how to measure with the Standard System of inches, feet, yards, miles, and more. This is a fun practice test you can do to totally amaze yourself at how far you've come in your learning!
Fraction Maze #17 & 18
Let's get lost in a fractions maze while practicing how to do multiplication and division!
Math Games: Tic Tac Toe #2
This Tic Tac Toe is more advanced, so if you enjoyed the one in the Beginner section (or needed more of a challenge), try this version! Games are a fun way to practice the new skills you are developing when it comes to new math concepts!
Paper Airplane Lab
This is a fun activity that brings together our practice in measuring along with our data-taking skills and creativity of making paper airplanes!
Fractions Skills Practice Test in Measurement
We've been working hard on learning how to measure with the Standard System of inches, feet, yards, miles, and more. This is a fun practice test you can do to totally amaze yourself at how far you've come in your learning!
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.
Fraction Game: Snakes!
This is one of our more difficult math games for fractions, so I've put it here in this section for you to give it a go. Enjoy playing with a friend!
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 how to quickly read measurements from engineering drawings and blueprints using an architect's ruler (called "Architectural Scales") and the second is our last set of Astronomy labs for fractions.
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.
Architectural Scales
An Architect's Scale is designed to quickly determine the actual dimensions of a distance on a scaled drawing. Most architectural, construction and engineering drawings and blueprints are scaled to allow for large areas, buildings and structures to fit on a sheet of paper, even a large one that can be rolled up.
Astronomy Labs
We're going to jump in our spaceship and zoom through the gap in Saturn's rings, zoom around galaxies using fractions, photograph the magnetic loops on the sun to calculate the speeds of the magnetic fields, and explore black holes using math equations.
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!
Solution to Week #6 Math Challenge
The truck driver is wrong, the weight of a closed compartment containing a bird is equal to the weight of the compartment plus the bird's weight, except when the bird is in the air and has a vertical component of motion that is accelerating. Downward acceleration reduces the weight of the system, upward acceleration increases it. If the bird is in freefall, the system's weight is lowered by the full weight of the bird. Horizontal flight, maintained by wing-flapping, alternates small up and down accelerations. 200 birds, flying around randomly inside the compartment will have tiny fluctuations in weight nut the overall weight of the system will remain virtually constant.
