Math is about patterns and this course is full of finding patterns, interpreting patterns, and representing patterns. This course will build on your prior knowledge of expressions and equations to display the patterns in the form of graphs, equations, functions, tables, and qualitatively with words. This course includes five units. Covered topics include scientific notation, integer exponents, modeling bivariate (two-variable) data with linear equations, functions, systems of equations, the Pythagorean Theorem, and volume of spheres, cylinders, and cones. While you are working through the five units, you will notice that some of the material builds on your prior knowledge, and some of the concepts will be new ideas that will serve as building blocks for your future math career.In Unit 1, you will learn about irrational numbers. You will use your prior knowledge of rational numbers to represent an estimation of irrational numbers. You will learn that scientific notation helps you denote really large and really small numbers. In Unit 2, you will graph proportional relationships that will build off your understanding of equations. You will be able to compare different linear equations and in turn solve simultaneous linear equations in a variety of forms. You will continue to work with patterns in Unit 3 as you learn how a function has exactly one output for each input. In both sixth and seventh grade, you learned about volume of three-dimensional figures. Unit 4 offers you the opportunity to build on that knowledge and solve real-world problems with volume of cones, cylinders, and spheres. This geometry unit also introduces the Pythagorean Theorem. This will give you a chance to solve for unknown side lengths on right triangles. As you work through the Pythagorean Theorem, make sure you understand why the rule works and that you can apply it to other situations (don’t just memorize!). The final unit involves graphing and again looking for patterns. The patterns in Unit 5 that you will be looking for will be patterns of association in bivariate data. In other words, if you are given a collection of data, your task will be to find a pattern (or lack thereof) between two different variables.Throughout the entire course, understanding each topic before moving forward is the goal. As you encounter the problems involving real-life situations, strive to make sense of the circumstance and how it would fit into your current life.
Days of the Week:
Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday
- Level of Difficulty: All Levels
- Size: One-on-One
- Cost: Free
- Institution: Saylor
- Topics: Geometry