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Rational Numbers & Inequalities
What is an inequality? Instead of an equal sign: "=" sign, you will see a ">" or "<" to describe the situation Think about how speed limits work: you can travel up to 65 mph, but if you go over 65 mph you will get a ticket. Or you have a certain minimum balance to pay on your credit card, but you could pay more if you wanted to. Or we could use an inequality to describe how many text messages can you send before you get charged an additional fee. All of these are written as mathematical inequalities.
Download your Algebra Workbook Set #2
To help you with your daily practice, I've put together a set of four workbooks. This session, we are working through the second and third workbook in the second series. Beginner and Intermediate students will work through Algebra Set #2: Rational Numbers. Plan to complete 3-4 pages per day. After you complete the pages, you may check the answer key.
Algebra Workbook: Rational Numbers
This is the second of four workbooks in Set #2. I've put together a set of videos that will walk you through selected problems in this workbook, Rational Numbers. Plan to complete 3-4 pages per day. After you complete the pages, you may check the answer key.
Measurement Practice: Converting Units
We're going to calculate how many breaths you take in a day and calories you burn at night based on your own data. We'll also discover how we use algebra to convert between different temperature scales!
Math Activity: One-Step Inequality Puzzle
We're going to learn how to solve inequalities, which are similar to equations, and it's easiest to start with doing this in only one step. This is a fun way to get introduced to the ideas that were covered in the workbook!
Math Activity: Matching Trios of Inequalities
Now let's step it up a notch by adding in a number line graphical representation of the inequality problems. You'll match each up in sets of three.
Math Activity: One-Step Inequality Cutouts
After working through the workbook, it's time to practice those skills in a fun and challenging way! Print out and cut out these cards and have fun solving!
Math Activity: Two-Step Inequality Cutouts
After working through the workbook, it's time to practice those skills in a fun and challenging way! This is the next step up from the previous activity where you'll practice how to combine like terms, isolate and solve for our unknown variable.
Math Activity: One-Step Inequality Task Cards
This fun activity will have you practicing different aspects of solving for unknown variables in an inequality.
Math Activity: Inequality Scavenger Hunt
Do you enjoy scavenger hunts? Then print these out, scatter them around, and have fun solving each clue as you hone your math skills! You can also divide the hunt in half and race against a friend.
Math Activity: Coloring Activity with Inequalities
This is a fun coloring activity that has you first solving the math problems with inequalities, and then coloring in the picture so you can hang it up in your math corner!
Math Review #1: Inequalities Unit Review
If you've finished the workbook and several of the activities above, then it's time for a "gallery walk" station review that covers the important concepts you've just learned. Take your time with this one, and if you find there's an area that you need a little more work with, go back to the workbook and do some extra practice problems until it's easy and comfortable for you.
Math Review #2: Equations & Inequalities
We've covered a lot of content in the past two sessions, so we want to make sure you're not getting lost. This is a simple review that incorporates both inequalities and equations problems for you to work through. Take your tie and have fun with this review session! (Hint: Do the Scavenger Hunt (below) after you finish the review as a treat!)
Math Game: Scavenger Hunt
Yes, a second treasure hunt! These are a fun way to review your skills and get perspective on how different problems are presented, especially when they are word problems. If you don't want to print out each page, you can simply look at them online, or print them out 4-to-1 to save on paper.
Math Activity: Independent & Dependent Variable Scavenger Hunt
This is a fun introduction to the idea of independent and dependent variables. We're going to go into a lot more depth in our next session, so feel free to skip this one if it doesn't make sense just yet.
An independent variable stands alone, and isn't changed by the other variables you are trying to measure. Dependent variables depend on some other number. For example: y = x + 3. If you know that x = 5, then you can figure out y, so x is your independent variable, and y is your dependent variable.
The purpose of including this activity here is to give you practical experience in starting to think about which one is which through a set of real world examples.
Advanced Math Labs: Physics
This week is all about the physics motion, and how we use algebra to solve motion 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 Algebra Session #2 Math Challenge
Place 3 balls on each side of the balance scale. If the 2 sides balance out, you have found the lightest ball (the one set aside). If the two sides do not balance out, the lightest ball is clearly one of the 3 balls on the less weighted side. Now for your second weighing, place 1 each of your remaining 3 balls on either side of the scale. If the two side balance out, the lightest ball is the one set aside. If not, the lightest ball is obviously the one on the less weighted side.
