7th Grade Math—Semester B
Geometrically and statistically delicious.
Expressions and equations have their place in math, and that place is not here. In this Common Core-aligned course, we'll step back from headache-inducing variables and lines to doodle shapes and add numbers. And no, we aren't kidding.
We'll start in the 2D plane and work our way through quadrilaterals, over triangles, and around circles. After that, we'll learn about nets, cross-sections, and the other mathematical wonders of the 3D world. Finally, we'll crunch some numbers with statistics and probability—but there's no reason to worry. Well, no statistically valid reason.
We've got activities, quizzes, problems, and more that cover:
- using facts about 2D geometry to calculate angle measures, perimeters, and areas.
- solving problems in 3D geometry involving cross-sections, surface area, and volume.
- gathering, analyzing, and representing statistical data appropriately.
- approximating and interpreting the chances of simple and compound events.
- developing and using probability models.
P.S. 7th Grade Math is a two-semester course. You're looking at Semester B, but you can check out Semester A here.
Unit 7. 2D Geometry
In this unit, you'll learn how to see the world around you in a totally different way. (No, not upside down. Now get off of there.) Geometry will help you describe shapes, calculate side lengths, find congruent angles, and manipulate formulas for our own personal gain. And let's be real: who doesn't love using just about anything for their own personal gain?
Unit 8. 3D Geometry
We will enter a strange new land of three-dimensional shapes such as pyramids, prisms, and cubes. We will see them in their native habitat, learn about their tendencies, and even memorize their scientific names (did you know that a cube's scientific name is Sixus squarius?). By the end of this unit, we'll be pros when it comes to surface area, volume, nets, and cross sections.
Unit 9. Statistics
Statistics allow us to sample populations, gather data, calculate means, and create colorful graphs that report our findings. It's all about making a lot of information more easily understandable. That, and proving once and for all that Michael Keaton is the best Batman of all time.
Unit 10. Probability
This unit will focus primarily on being able to predict the future. (Think less divination and more blackjack.) We'll draw tables and diagrams to represent probabilities of different events, calculate the chance of winning a poker hand and the lottery, and dabble in the art of simulations, all to bring probability to life.
Sample Lesson - Introduction
Lesson 10: Types of Quadrilaterals
Have you ever been overwhelmed by the sheer amount of stuff at the supermarket? Next time you're out grocery shopping, take a look at just how much those night shift workers can pack onto the shelves. If you really think about it, it's kind of a beautiful thing. (You have to think really hard about it.)
Not only is there so much stuff, but there are so many types of the same thing too. Do you know how many different types of cereals there are? Or how many brands of cola exist out there? Coca-Cola and Pepsi are just the tip of the iceberg.
Of course, not all cereals and colas are the same—and if they were, you'd be eating some pretty strange breakfasts. But the point is that there are so many different brands because they all offer something different. They're all cereals or soft drinks, but no two brands are identical. Hear that, Safeway?
Quadrilaterals work in the same way. There are many different "brands" of quadrilaterals, and each is slightly different. In this lesson, we'll sample all the different types of quadrilaterals and learn about how they're the same and how they're different.
Sample Lesson - Reading
Reading 7.10: Types of Quadrilaterals
Movin' up in the world, eh? We've gone from three-sided figures to four-sided ones. You'd think the addition of one extra side wouldn't change our whole game plan, but it kind of does. A triangle is a triangle, but not all quadrilaterals are made equal.
Read more about the many different types of quadrilaterals and their personalities right here.
As long as you know which properties match up with which quadrilaterals, you should be ready for battle. Obviously, you should know what these properties mean as well. (Knowing that a kite has two consecutive congruent sides doesn't help if you don't know what "consecutive" and "congruent" mean.)
Quadrilaterals have four sides and the sum of their interior angles is always 360°. Apart from that, they're quite the mixed bag.
- Parallelograms have two sets of parallel sides. Opposite sides are congruent to each other. Their opposite angles are congruent and consecutive angles are supplementary.
- Rhombi are parallelograms with four congruent sides.
- Rectangles are parallelograms with 90° angles all around.
- Squares are rectangles with four congruent sides.
- Trapezoids have only one set of parallel sides, and only two pairs of consecutive supplementary angles.
- Kites have two pairs of adjacent congruent sides and one pair of opposite angles that are congruent.
Sample Lesson - Activity
Activity 7.10c: Problem Set
- Credit Recovery Enabled
- Course Length: 18 weeks
- Grade Levels: 7
- Course Type: Basic
7th Grade Math—Semester A
Just what the heck is a Shmoop Online Course?
Common Core Standards
The following standards are covered in this course:CCSS.Math.Content.7.G.A.1