In class today, we learned how to graph a line using its equation in slope intercept form. See below for our guided notes and examples from class. You can also click on the answer key to check your practice from today.
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Today in class, we looked at how to rewrite equations that two variables by solving for one (y) in terms of the other (x). This concept will be very helpful when we start working with linear equations next week, but if you didn't quite get how to do it in class today then watch the video in the link below for some help.
When you come back on Tuesday we are going to start looking at linear equations, specifically when they are written in what is called "slope-intercept form". Basically, all that means is that the linear equation has been solved to say y = something (specifically it should say y=mx+b, but we'll talk about what that means on Tuesday). If you want a sneak peak to get ahead a little, there's a link to a video for that as well. Enjoy your long weekend! The first new concept we have learned this semester is about finding the slope (or rate of change) of a linear function. Remember that we've said any set of x's and y's can be called a relation, but only some relations are functions; specifically, the relations where no x (or input) is repeated with different y's are called functions. Then we said that we can look only at a set of functions and then determine whether each one is a linear function or a nonlinear function (remember that linear functions make a straight line on a graph, and they have a constant rate of change or slope). Once we know that a function is linear, we can then find its rate of change or slope. So far, we've specifically looked at how to find this slope from a table of values and from a graph. For a review over finding the slope, click on the pictures below to get a video explaining how to find slope.
The volume study guide that we started in class yesterday is due TOMORROW when you take your test as an extra credit assignment. While you're finishing it at home, if you want to check your answers, you can download the answer key by clicking on the image below.
You should finish the study guide we started in class today for homework, and then turn it in on Friday when we take the test to get extra credit. Once you have finished the study guide, you can download the answer key by clicking below to check your work.
Ways to use the Pythagorean Theorem:
Click on the links below for practice with the different ways to use the Pythagorean Theorem. 1. Finding a missing hypotenuse in a right triangle 2. Finding a missing leg in a right triangle 3. Pythagorean Theorem word problems 4. Converse of the Pythagorean Theorem Today in class, we are learning about the formulas for finding volume of cylinders, cones and spheres. Part of your homework that is due TOMORROW involves using these formulas. If you're struggling with this, here are three videos that will help with each type of shape and how to find its volume.
Today in class we're going to start talking about something called the Converse of the Pythagorean Theorem. The word converse as it's being used here really just means the reverse of something. So the Converse of the Pythagorean Theorem is the REVERSE of it. Instead of using the Pythagorean Theorem in right triangles to find missing side lengths, we use the Pythagorean Theorem to tell if given side lengths COULD form a right triangle. It can seem a little confusing at first, but here's a quick video to help you get started with it.
If you want to sharpen your skills over the break, here is some extra practice along with the answers :) Just click on the document to download it and then click the answer bubble to see the answer key when you finish.
If you finish your quiz early today, spend some time on this game practicing using the Pythagorean Theorem. This could also be a good way to practice over the Thanksgiving Break if you need some more help with the Pythagorean Theorem!
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April 2015
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