The first one is here!
Go to my TpT Store to purchase this product: One- and Two-Step Equation Fidget Spinner Game
View a preview on YouTube: Watch Video
Area is taught in early grades. The concept of adding up all the square units that COVER a figure is actually pretty simple. Students need to understand WHAT area is before really delving into using the formulas and then taking them a step forward.
In secondary grades, we begin to use the formulas and study how areas of composite figures can be found as well as finding shaded areas. These types of problems bring in the “real-life” and “problem solving” component. I tell my students all the time, “You must know how to apply the problem and you must know how to think about it forwards and backwards.” (If you are given the sides, find the area. If you are given the area and one side, find the missing side.)
To take area a notch further, we throw in algebra. Instead of a side being just 4, we might make it 4x. We will talk about how area is quadratic, volume is cubic and perimeter is linear.
Before students get to pre-calculus, they also need to how dimensional changes affect the area. If all dimensions change, the area changes by that amount squared! So if all sides are doubled, then the new area will be quadrupled (or doubled squared). If one dimension changes, then the area is only affected by that amount!
I’ve been hard at work creating my Geometry Curriculum. My most recent resource covers area. The resource practices finding area of rectangles, parallelograms, squares, rhombi, triangles, and trapezoids. These figures are combined into composite figures and problems are worked forward and backwards. There is a special emphasis on regular polygons. Regular polygons are a great way to practice special right triangle rules and trig! There are tons of notes, practice and quizzes in this resource. If you need something like this, then go to my TpT store and check it out.
A pattern that occurs over and over in nature is the Fibonacci Sequence. The pattern is this: 1,1,2,3,5,8,13,21,34,55… Do you know the next number in the pattern?
When you make squares with those widths, you get this cool spiral:
Look at these beautiful images that follow this pattern:
The pattern does not always appear in a spiral.
The Golden Ratio and Fibonacci Sequence go hand in hand…pardon the pun.
Divide 8 by 5, Divide 21 by 8, Divide 55 by 34… choose any two numbers in the sequence that are next to each other and divide larger by smaller.
This coloring activity is a fun way to practice area and circumference problems. There are 16 problems in all. The students are asked to leave some answers in terms of pi. There are some problems that area is given and the student has to find circumference and vice-versa. The back of the activity has adding, subtracting, multiplying and dividing with pi. The variety of problems makes this resource fun but challenging!
This was my very first resource that I put on TpT. I love this activity. It gives the students choices and it’s hands-on. Students love making a poster and using multiple representations. Here’s a sample poster:
Creating this activity inspired me to create Exponential Functions: 6 Stations. More examples of Exponentials! Fun and interactive!
Here are three more awesome Exponential Function Resources that are in my store.
Learn more about the SAT/PSAT and ACT. Go to the CollegeBoard website and the ACT website and browse. See what those tests are like. Do you know what topics are covered on those tests? Learn the importance of the PSAT…it’s more than just practice! Do you know the purpose of the ACCUPLACER (or if you are from Texas it’s called the TSI)? The more you know about these tests, the better you will understand how you can help prepare your students.
If you teach 5th grade math, does it matter if you know what is on the math portion of the SAT? I challenge ALL math teachers (elementary, middle school and high school) to take the math portion of the SAT or ACT. If you do not teach math, I challenge you to pick any of the portions of the SAT or ACT and take them…especially if it’s been awhile since you graduated from college! If you are a science teacher, check out the ACT science test. WOW! It’s crazy all the reading involved on that test! Open your eyes to what is on these tests and how they ask questions.
Implement one thing (a topic, a strategy, a visual) that will help your students be successful on college entrance exams. Here are some examples:
1)Pick a topic to focus on and spiral into your lessons every so often.
2)We all have important vocabulary that we cover, but Google SAT vocabulary list and create a word wall with some of these words.
3)Pick a testing strategy like timing your tests.
4)If you teach math, have calculator and non-calculator portions of your tests.
5) Use actual SAT or ACT or ACCUPLACER questions as bell-ringers. If you teach younger grades, simplify them slightly if needed.
6) Show your students how to get on Khan Academy. This site is awesome and has great college entrance practice.
Talk about these tests in class. Start talking about them while the students are young so they know what’s coming and know what to expect. The great thing about this topic is you are starting the conversation about going to college. Some students do not get to have that conversation at home, so the only place they might hear it is from you.
If you teach 9 – 11th graders, encourage your students to go ahead and take the ACCUPLACER or the equivalent in your state. It doesn’t cost much and they can take it as many times as they like. Have them bring the paperwork back to you and you can help them figure out their strengths and weaknesses. In Texas, the students must make a certain grade on the three parts so they do not have to take remedial college math and English classes. My next door neighbor took her 8th grade daughter up to the nearest community college last year and had her take the test. Guess what? She passed all three portions and she hasn’t even taken high school Algebra yet. My school encourages students to take the test when they are ninth graders. Many of them pass the first time, but most do not. This is when I step in and start reviewing them for the next time they take it.
I’ll have to admit, that I did not see the importance of learning as much as I could about these tests until last year. I was given a class full of seniors that had not passed the TSI yet and my job was to help them pass it before the end of the semester. I found very little help online when it came to work that I could give them. I had no choice but to create my own reviews. I had to research the topics and I came up with 7 packets. I offer these in my TpT store. I also bundled all 7 reviews. My son is a senior, so I decided to put his picture on the front of the packet. I have to brag on him, he passed the TSI with flying colors. He is a fast test taker. It only took him an hour and five minutes to take all three portions. It’s an interesting test. If you do not pass the first 2o questions or so, it gives you 4o more to do, so that’s why it takes some students forever to take it.
After most of the students in my class had passed the TSI, I couldn’t let them come to class everyday and do nothing, so I started reviewing for the SAT and ACT. Again, I created my own material. I’m glad I did because now I know so much more about those tests. I plan on making more SAT reviews when I get a chance. I have bundles and individual products. The bundles are seen here:
I basically had to write my own curriculum for a semester. That’s not easy when you are also teaching Algebra II and Pre-Cal. If you are in the same boat and need curriculum for a senior math class, then I’ve bundled all three entrance exam reviews into a MEGA bundle as seen below:
Please take this advice and start familiarizing yourself with these very important tests. See if you can add anything to your routine that might help your students. Be creative in your implementation and don’t reinvent the wheel. I hope I have motivated you to start your “College Ready Research.” Encourage your colleagues to do the same. Send me some of your ideas if you get a chance. Good Luck!
Parks and Rec has to be one of my favorite shows and Rob Lowe is very cute, STILL! If you’ve never seen the show, put this on your to-do list! You’ll think it’s weird at first but the characters are hilarious. Rob Lowe joins the show during the second season. He literally says literally 20 times a show…maybe I’m exaggerating, but he does say literally a lot! Watch it…you’ll love it. It’s a nice way to relax and get your mind off school.
So why am I thinking about literal equations? The physics teacher is telling me that the kids can’t solve literal equations! I could have told him that :), but why can’t they? I know my students can solve 4x = 8, but they can’t solve d = rt for r. What’s the issue? I think it’s several things:
I’ve created a lesson that addresses all three of the issues above. At first, I think the student should analyze the problem by writing the equation in words so I can see if they understand what operations are taking place. I then ask them to circle the variable they are solving for so they can have a visual of what needs to be by itself. The notes below are what I give the students to get them started on this process.
I take them through a problem similar to the one above and then I let them practice 4 problems that are similar to this. Below is a sample:If you like collaboration, these problems would be good for a sage and scribe activity. The sage tells the scribe what to write. The scribe has to stay quiet for a while and let the sage describe the steps and what needs to be written. I eventually let the scribe have some input because sometimes they are dying to help the sage. We switch roles for each problem.
Next, I give them a worksheet that has a regular equation with a literal equation that looks just like it. They do the regular one first and then the literal equation (they are solving for c). I keep telling them to remember what they did on the regular equation and follow those same steps. Here’s an example:
The final activity in this lesson is to help the students in their science class. I give them some science equations mixed in with a few math equations. I’m hoping by now, these problems will be easy.
There is one more reason students do not understand literal equations and it’s our fault as teachers.
4. Teachers work on literal equations for one day maybe two and that’s it. How can they really get it?
Let’s not make that same mistake again. I plan on recycling literal equations back into my lessons. I plan on using them in bell-ringers and I plan on putting them on assignments and tests in the future. How many people can understand something, especially in math, after one or two days? Remember that when a student first sees a literal equation, it looks foreign to them. They are not going to make the connection that they are just equations (at first).
We can help make the student more successful in math and science if they learn to solve literal equations. Don’t take this topic lightly. Ask your science teachers what else students have a hard time with when it comes to math in their class. Bring something to write with, because you’ll get a list of items. Other things that my physics teacher has mentioned is conversions, graphing linear equations (knowing slope, independent and dependent) as well as being able to graph bar graphs.
Good luck and if you would like to purchase my literal equations activity, click below: