We've got all the right angles.
Newsflash: geometry is about more than simple little doodles. It's about huge complicated ones.
Lucky for you, those doodles are everywhere. From your spherical baby brother to your dad (who's a total square), shapes are how we make sense of the world around us. If that's the case, knowing how to spot 'em and show how they work could prove useful. At least that way, we'll be one step closer to avoiding a shapeless alien invasion.
With activities, problem sets, and solvable examples galore, we'll tackle just about everything. In Geometry Semester B, we'll
- start with right triangles and learn about the trigonometric ratios that come with them. (Don't worry. They don't bite.)
- fly kites, fend off polygons, and make our way around circles.
- transform shapes both on and off the coordinate plane.
- finish up with area and volume, which seem like simple concepts, but take up more space than you might think (and not just in your noggin).
P.S. Geometry is a two-semester course. You're looking at Semester B, but you can check out Semester A here.
- Microsoft Office, Google Docs, or another word processing program
- A scanner (or access to one)
- A camera (a camera phone is sufficient)
- All other work can be done via the Shmoop website.
Course BreakdownPurchase units individually
Unit 7. Right Triangles and Trigonometry
This unit is all about right triangles and we hate to break it to you, but it's pretty important. Yeah, the Pythagorean Theorem is essential, and knowing the properties of special right triangles will certainly make your life easier, but none of that compares to what happens afterward: this unit is where you'll first tackle trigonometry. (Gasp!)
Unit 8. Quadrilaterals and Polygons
Quadrilaterals are shapes that have four sides. Seems simple enough, right? Well, not exactly. You might feel comfortable around squares and rectangles, but how much do you know about trapezoids? They're serious wildcards. We'll learn about all the different properties and proofs concerning quadrilaterals, and a few other polygons might sneak their way into the quadrilateral party. We can't blame them. It really is hip to be square.
Unit 9. Circles
We'll start by defining the circle and talking about a few of its properties (did you know it owns a mansion in Connecticut and beach house in Boca?). After a little bit about central angles, arc measures, and arc lengths, we'll learn about the equations of circles on the coordinate plane and show circles some love by performing a few constructions with them.
Unit 10. Transformations
In this unit, we'll be the masters of motion, transforming images to wherever we want, facing whichever way we want, and even in whatever size we want. We can even decide whether we want to perform these transformations on or off the coordinate plane! Don't let the power get to your head, though.
Unit 11. Area
As you might have guessed, this unit is all about area. Be ready for a return of triangles, squares, quadrilaterals, circles, and basically every shape we've ever talked about. Once we're finished, don't be surprised if you find yourself secretly calculating areas of soccer fields or road signs in your head. It happens to the best of us.
Unit 12. Surface Area and Volume
How much area covers a simple space figure's surface? We've got you covered. How much stuff fits inside a three dimensional solid? We can figure that out, too. In this unit, we'll examine space figures inside and out. We'll stick to simpler solids, such as cubes, prisms, cylinders, and cones. Finding the volume of a tuba is not something we'd like to try right away. Trust us.
- Course Length: 18 weeks
- Course Number: 310
- Grade Levels: 9, 10, 11
- Course Type: Basic
Just what the heck is a Shmoop Online Course?
Common Core Standards
The following standards are covered in this course:CCSS.Math.Content.HSG-C.A.1