Many public schooled students come to high school-level math lacking the foundational math concepts they need to succeed. This is largely due to the fact that public schooled students are encouraged to use calculators from an early age yet the student may never understand the meaning of important math concepts.

As homeschool parents, it is critical that our students have learned these foundational math concepts until they are able to work with them easily.

The concepts of which I am speaking are *addition* & *multiplication* facts; *percentages, fractions,* &* decimals*; and *what math function to substitute for words* in a word problem such as “and”, “more than”, “more”, “is”, etc. The time to make sure these facts are firmly impressed on your child’s mind is the Middle School grades. During these grades, you will fill in any gaps your child has in these areas. Fortunately, lots of materials exist to help you (see below).

Here is an example of the simplest of Algebra word problems: “Three of the same number and six is twenty more than that number. What is the number?”

Now, I will rewrite the question and underline each word that represents a command to perform a particular math operation: “Three of the same number and six is twenty more than that number. What is the number?”

Would your child know what to do with those underlined words? “Of” means multiply; “and” means add; “is” means equals; “more than” means add. So the equation would look like this (if we call “number” N): 3 x N (or 3N) +6 = N + 20. The answer is 7.

On my website, wwwChrisDavisRecommends.com (under the drop-down menu for ages 11-13) I have placed some good, and inexpensive, materials to help you determine if your Middle School child has grasped the math concepts necessary for entering higher level (high school) math. If not, these materials will get him ready. As for math problem words, simply google “math clue words” for a long list of freebies you can use to help your child get “inside” the vocabulary of word problems.

**Chris Davis
**

For extra credit, here is a little brain-teaser for you and/or your student:

The following is written as a simple addition problem. Rewrite it as an algebraic equation and solve for ABC if A, B, & C are different numbers each being less than 10 and greater than 0. Don’t put your answer in the Comments box, below (so you won’t give it away to others). Instead, send me an email with your answer and how you solved the problem. Send it to ChrisDavis@PioneerHomeschooler.com

Here is the problem. Solve for ABC:

ABC

ABC

+ABC

BBB

Now, visit my website www.ChrisDavisRecommends.com to see what I recommend for every grade in every subject (with an additional list of books especially for boys).

I love math, even 14 years after finishing high school. I have forgotten the more advanced algebra that I learned, but I use basic algebra frequently, and I enjoy a challenge. For instance, I made the equation for the problem in the article in my head and had it solved in a couple of minutes.

But there is one piece of crucial information you didn’t provide about the bonus question. Does ABC mean that A is 100’s place, B 10’s, and C 1’s, or does it mean A x B x C? And likewise for BBB. I’m assuming it means the former, but if it means the latter, then the formula will be different and the solution different.

By:

lifeofahappymomon July 22, 2014at 1:48 am

Oh, never mind. Simple algebra proved that one if them is an impossibility. And I did solve the other one! 🙂

By:

lifeofahappymomon July 22, 2014at 9:30 am

Your email didn’t include either the equation or the answer…Email me again with both if you will.

By:

chrisdavison July 22, 2014at 10:32 am