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Pre-Algebra & Intro to Algebra

Welcome to our new study unit on Algebra! This first session covers PreAlgebra concepts to make sure we have a solid foundation to build on in subsequent sessions. If your student needs more time with the concepts explored on this page, please take all the time you need to really master the skills outlined in the workbooks in Set #1.

Math Class: Operations on Integers

Math Class: Variables, Terms & Expressions

Beginner Level Math Class

We're going to explore different algebra skills in our workbooks. We'll continue to practice with concept and word problems and have fun learning!

Download your Algebra Workbook Set #1

To help you with your daily practice, I've put together a set of workbooks.  Plan to complete 3-4 pages per day. After you complete the pages, you may check the answer key. 

Please note that there are two workbooks in this set: Operations on Integers and  Variables, Terms & Expressions. Each set of videos below corresponds to the appropriate workbook.

Algebra Basics:  Operations on Integers

This is the first of two workbooks in Set #1. I've put together a set of videos that will walk you through select problems in this workbook, so grab yours and let's work together through the first workbook, Operations on Integers. Plan to complete 3-4 pages per day. After you complete the pages, you may check the answer key.

Algebra Basics:  Variables, Terms & Expressions

This is the second workbooks in Set #1. I've put together a set of videos that will walk you through select problems in this workbook, so grab yours and let's work together through the first workbook, Variables, Terms & Expressions! Plan to complete 3-4 pages per day. After you complete the pages, you may check the answer key.

Math Game: Number Challenge

This is a fun and simple challenge to work on when you need a break from the workbooks. Your task is to put the ten different digits in the boxes, using each only once.

Intermediate Level Math Class

Are you ready to really practice your new math skills? Let's get really good at ratios, percent, proportions, fractions & decimals so we can use them for anything we need to!

Math Activity: Algebra Packet #1

If the two workbooks above were too easy for you (HINT: there's a test at the back of each one that you can use to figure this out quickly), then work through the content in this packet below, which has several sections that cover important concepts we'll be using throughout this algebra course. 

Math Activity: Pyramid Puzzle

Do you love puzzles? They are all over the place in math! Let's build an upside-down pyramid using our new math skills with combining like terms.

Math Activity: Triples

This game works best with a group of friends, especially if they don't know each other very well. You can do this game solo, but it's a lot more work (you have to do all the problems)!

Math Activity: Mazes (3 in 1)

This is a fun set of three math mazes that increase in difficulty as you work through them. I've done the first two on video so you can work through them with me, and left you with the third one on your own. Do your best and have fun!

Math Games: Order of Operations Math Lib

This is a fun game, especially if you have to walk around and find the different stations to puzzle together the silly sentence you're trying to build! If you are using this with a larger group, cut out each station and have them in separate envelopes (once for each letter) so the kids can pick the problems they want to do.

Math Game: Scavenger Hunt

We're going to go on a fun scavenger hunt! If you want to scatter the clues around and hide a small snack with each one, kids might really appreciate the extra fun it will bring! You can work through this on your own or with a friend. Have fun!

Algebra Word Search

There's a lot of new terms in algebra to help us describe what's going on with the math, what things we can do to figure stuff out, and so forth... which means it can get easy to get lost in all the new words. Here's a fun way to make sure you know and understand the most common terms we'll be using in class together. 

Advanced Level Math Class

Advanced students will focus on doing science and engineering-based calculations when working with practical applications of algebra. Each week you will have a new set of advanced math problems to work through. You'll need to have a firm grasp of all operations with fractions, decimals and ratios and percent (operations like adding, subtracting, multiplying dividing), as well as being comfortable with negative numbers, exponents, and order of operations.

Kepler's Laws of Planetary Motion

This set of Math Labs is what you can expect to see in a high school physics course. The math is all algebra, so grab your notebook and let's work through a set of labs together!

Johannes Kepler, a German mathematician and astronomer in the 1600s, was one of the key players of his time in astronomy. Among his best discoveries was the development of three laws of planetary orbits. He worked for Tycho Brahe, who had logged huge volumes of astronomical data, which was later passed onto to Kepler. Kepler took this information to design and develop his ideas about the movements of the planets around the Sun.

Math Lab #5 is an overview lab, where we will be showing you how to use algebra with physics. If this area of science is new to you, please skip Lab #5 and go straight to Lab #6 where we introduce Kepler's Laws in detail, step-by-step. You can come back to Lab #5 after completing more labs in this set first.

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 Percent Week #7 Math Challenge

There are 47 cards.