Adding and Subtracting Positive and Negative Numbers and Stories

When kids are tasked with having to add and subtract negative numbers, the easiest way to teach this is to pull out a numberline. Although a line has arrows at the ends and never ends, notice how teachers always tell students to, "Get in a line!" I was a weird teacher because I told mine to get into a line segment or make two parallel line segments. Sometimes when we were waiting outside the bathroom, I asked the kids to make perpendicular lines, or I'd ask them to count off using prime numbers. That was always fun! But back to the old number line.

The number line above goes in both directions, as a middle school number line should, so when you go to solve a problem, you simply count in the direction of the number's sign. Ie., if there is not a negative sign in front of it, you will head right or in the positive direction. If the number is negative move to the left.

 -10 + 5 = -5

A number line makes teaching this concept so much easier than trying to teach without one.

But, what if kids are tasked with adding numbers such as:

- 4 + 8 =

To solve this problem, I tell kids to use the commutative property of addition.

-4 + 8 = 8 + -4 = 8 - 4

You can turn this problem into a first grade problem!

If you are interested in a resource for teaching middle school math, check this out!

Positive and Negative Integer Operations with Word Problems

Tune in next week for tips on how to teach minus a negative number.

Monday Music Moves Me

This week is all about songs that tell stories, so here is the ultimate classic in that department.

American Pie, by Don McLean

This musical number tells a farewell story to the 50s and 60s and how music died with the plane crash that killed Ritchie Valens, Buddy Holly, and the Big Bopper. The music is filled with hidden messages involving the Vietnam War and Jackie Kennedy, "the widowed bride" in some accounts, while others believe the song is referring to Buddy Holly's pregnant wife who miscarried. One could spend the year analyzing the story of American Pie, but I'd rather just listen to it.

Next up is Paul Simon with Me and Julio Down at the School Yard.

This is the story of a couple of kids in trouble for the unknown actions down at the school yard. Simon purposely kept the actions vague; but whatever it was, Mama and Papa didn't like it!

This last song is one I had to post because I believe history has gotten it all wrong with blaming poor Mrs. O'Leary and her cow for the Chicago Fire of 1871. I've written a different version of this story that you can purchase at my TpT Store.

The Chicago Fire Reading Passage

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This month, I have posted two new resources

for middle school students.

Be on the lookout for several more to come, soon!

Positive and Negative Integer Operations with Word Problems

Are your kids having trouble understanding how to work with positive and negative integers and telling them to "memorize the rules" doesn't help? Are you also looking for word problems involving integers? Here is a thorough resource that explains positive and negative integer operations in a language that kids can understand.

This math resource is so new that it's

1/2 off for 24 days,

so grab it while it's on sale!

Middle School ELA Stations on YouTube

Do you see middle school eye rolling everytime you pull out a nonfiction passage with questions for your students to read? Here is a nonfiction reading passage that measures up to the interests of 6th, 7th, or 8th graders. Now, your kids can read about what they love to watch on YouTube!

Algebra, Geometry, It's Math, Oh My!

Now, that you've learned all about teacher evaluations, it's time for a new topic, math. If you don't teach math, please bear with me. Afterall, I am the author of Catch My Products, which is The Gifted Department Store, so I change topics frequently. Were you around in the fall for my writing tips month? I have something for just about everyone. If you don't teach math, what topic would you like to see me tackle, next month?

MATH

As a child, I seemed to make better grades in reading class than mathematics; however, my math achievement test scores were always higher than reading. Go figure? Maybe I had harder math teachers who taught me more.

Nonetheless, everything went south in eighth grade when the teachers did not recommend me for algebra. This was not okay with my dad. He called the teachers and pushed me into a class I was not ready for. I believe this mistake had two results. First of all, I was not mature enough for the subject matter and thus not able to grasp it; two, I believe my teacher resented me being in her class and not understanding the concepts. It wasn't my fault that I was pushed into her class and therefore could not understand her teaching.

Math is developmental and is all part of Piaget's Theory of Development. Pour the same amount of water into a tall thin glass and a short wide glass and then ask a toddler which container contains more water. The kid will undeniably assert that the tall glass has more water in it. To try to explain that the amount of water in both containers is the same is like beating your head against the wall. Toddlers are just not ready to understand this concept. That is math. Understanding relates to maturity, even more than intelligence, all of the way up the grades.

I passed Algebra in eighth grade, which forced me into geometry come freshman year and advanced algebra as a sophomore. This set me up for a pattern of failure, or in my case, successes with a lot of hard work and frustration.

When I entered my freshman year of college, I was required to take a math class. I took one look at that textbook and saw the advanced algebra class that gave me a fit in high school. So, I did what any scared student would do. I took the class pass/fail. This was one of my biggest mistakes in college. By the time I had reached college age, I had matured a lot. This math class was the easiest class I ever took, yet I had signed up for it, pass/fail. When it came time for exams, all of my tests were scheduled for the beginning of the week with my math final on Saturday. So, I approached my professor and asked if my /A/ was strong enough to pass me, if I received a zero on the final exam. He said, "Yes," and with his blessing, I skipped town without taking the final.

So why tell you this? It's two fold. If you are a parent, please listen to teacher recommendations for your children and do not force them into classes that they are not ready for. As a teacher, please try to have patience with that child in your class who just doesn't understand math concepts. Although my eighth grade teacher never admitted that she didn't like me, I knew it. 

Please tune in next week for some ideas for teaching math concepts. It's ironic but having once struggled in math classes, I find myself to be a pretty good teacher when it comes to explaining these concepts.

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Monday Music Moves Me - Blogger's Choice

Since I discussed math, how about some musical selections that contain math themes or numbers? First up is Harry Styles and One Direction with "Your Math Skills are Terrible."

Next up is one of my favorite bands from the past, Chicago with "25 Or 6 To 4."