As you move deeper into each textbook (Algebra, Geometry, Calculus, etc), the problems will contain several concepts you’ve learned earlier – all in one problem. This complexity can make it difficult to find the “how-to” or examples in the book to help us understand how to work it.
Recently, we received this question from our student support page: There doesn’t seem to be any examples or teaching that I can find that helps me solve this problem.
This is a common question – not this particular problem, but in general, as the problems develop into including several simple concepts stacked into compound calculations. However, the explanations are there, they just may be back a few, or several, chapters.
For example, Jacobs Algebra Chapter 12 Summary and Review Problem 14h.
Concepts include but are not limited to:
- Chapter 12: Square Roots. Simplify radical as much as possible. Example of this step page 480-481
- Chapter 5: Equations in One Variable. Specifically for this review problem, Equivalent Equations (Lesson 3) page 162-163.
- Chapter 12: Square Roots: Radical Equations. Page 505 has examples of squaring both sides to eliminate the radical.
Math builds on itself. As you learn more and more concepts, the problems reach back and build on calculating and analyzing skills learned earlier in the book or even in an earlier course. These complex problems can be hard to find “how-to” when we just can’t see it! The solutions manual is a good resource to help with steps, but sometimes even with those steps, we need to see where it was explained or taught.
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I am used to having parents tell me that they think their kid is behind, missed something in 3rd grade, or has a suspected learning disability. That dialogue is almost always the first thing parents say when they are outlining why they need help from a math tutor. For some students, however, they do not need to be held back or to see a doctor. What they need is to move ahead and go on to the next step.
Continue reading When your child is actually ahead, not behind.
When I find great resources, I like to share them on the blog for parents and educators who might be looking for just that tool. I do not have any professional affiliation with this product, I just like it, and I want to share with you things that will help make your education experience the best it can be, with hopefully the least amount of obstacles for you.
Continue reading MIT Makes videos for K-12 Students, and they are kind of awesome. (plus, unicorns!)
Are you panicked about Calculus? Maybe it’s time to be more panicked about a world where no one builds bionic arms, solves environmental problems, or seeks a cure for cancer–because that’s the reality you’ll have if kids stop taking higher math in high school.
Continue reading Innovation in Life Starts with Higher Level Math in High School
When you plan a road trip, you use math literally every step of the way. What you may not know, however, is the right math term for what you’re calculating. So today, I’m going to walk you through a few steps of planning a road trip so you can see how Algebra helps you get from point A to point B successfully. Continue reading Real World Math | The Algebra of Planning a Road Trip
Just when you think math isn’t relevant in the real world, you learn that it takes math to make coffee. Continue reading You can thank math for your morning cup of coffee
Around the world, education is not as often available as it is in more developed countries. Too many high school students that I work with here in the US take math education for granted. You see, a global perspective on mathematics and it’s place in the world is a problem we, as the adults, created–or at least allowed. Here’s what I think we can do to change that narrative and start a conversation that creates a better perspective on math and education in general.
Continue reading 3-step project idea to help you learn why learning math is important
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Have you ever wanted to build your own Lego Ferris Wheel or Train and be able to control it like a robot? Now you can!–and BONUS it counts as a math class activity. Keep reading to find out how to do it and at the bottom I’ll show you where in your Algebra II with Trig course this activity would fall so you can schedule it in your lessons.
Continue reading Raspberry Pi and A Robot Ferris Wheel you can build at home for less than $100