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K12MATH006: Math Grade 6

Course Syllabus for "K12MATH006: Math Grade 6"

Please note: this legacy course does not offer a certificate and may contain broken links and outdated information. Although archived, it is open for learning without registration or enrollment. Please consider contributing updates to this course on GitHub (you can also adopt, adapt, and distribute this course under the terms of the Creative Commons Attribution 3.0 license). To find fully-supported, current courses, visit our Learn site.

People sometimes think that math is just about number crunching. However, that’s not always the case. Patterns and letters (called variables) are used in math to help represent real-life situations. In addition to learning about variables, parts of this course will help you see a side of math you might not have even realized is out there. This course includes six units. Topics covered include multiplication and division of fractions, ratio reasoning, unit rates, expressions, equations, area, surface area, volume, and statistics. As you work through the six units, you will notice that some of the material builds on your prior knowledge, while some of the concepts will be new ideas that will serve as building blocks for your future math career. In unit 1, you will build on your current understanding of fractions, multiplication, and division to understand why the procedures for multiplying and dividing fractions make sense. The number system in its basic sense is probably already familiar to you. During this unit, you will move your understanding to the full system of rational numbers, particularly negative integers. Connecting ideas about multiplication and division will be beneficial as you start learning to solve ratio and rate problems in unit 2. You will discover that there is a wide range of real-life situations modeled with unit rates that can be used beyond this math course. While working through unit 2, you will learn how to solve for, and work with, percentages. Writing expressions and equations are the big ideas in unit 3. This is a building-block unit to start your foundational understanding of algebra. Learning about variables and mathematical properties in this unit will help you construct a sense of how mathematicians describe relationships between quantities. In unit 4, you will build on your work with area by reasoning about relationships among shapes to determine area, surface area, and volume. You will also develop formulas to use while working with geometric shapes. During unit 5, you will extend your understanding of the coordinate plane to include all four quadrants. You will plot points, draw polygons, and solve real-life problems that involve graphing. Finally, in unit 6, you will learn about statistics. During this unit, you will explore visual representations so you can compare/contrast measures of center and measures of variability. Throughout this entire course, the goal is for you to understand each topic before you move forward. As you encounter real-life situational problems, strive to make sense of the circumstances and how they would fit into your life.

Learning Outcomes

Upon successful completion of this course, you will be able to:

  • Compute multiplication and division of fractions.
  • Fluently compute with multi-digit numbers and find common factors and multiples.
  • Understand ratio concepts and use ratio reasoning to solve problems.
  • Extend ideas of the number system to include negative integers.
  • Write, evaluate, and solve for algebraic expressions, one-step equations, and inequalities.
  • Solve real-world situational problems using area, surface area, and volume.
  • Develop an understanding of statistical variability.
  • Summarize and describe variability.

Course Requirements

In order to take this course, you must:

√   Have access to a computer.

√   Have continuous broadband Internet access.

√   Have the ability/permission to install plug-ins or software (e.g., Adobe Reader or Flash).

√   Have the ability to download and save files and documents to a computer.

√   Have the ability to open Microsoft files and documents (.doc, .ppt, .xls, etc.).

√   Have competency in the English language.

√   Have read the Saylor Student Handbook.

Course Information

Welcome to Math 6. General information about this course and its requirements can be found below.

Course Designer: Ms. Kelly Quinn

Primary Resources: This course is comprised of a range of different free, online materials. However, the course makes primary use of the following materials:

Requirements for Completion: In order to complete this course, you will need to work through each unit and all of its assigned materials. These assigned materials include readings, videos, exercises, tasks, checkpoints, and a final exam.

Note that you will only receive an official grade on your final exam. However, in order to adequately prepare for this exam, you will need to work through the other assignments listed above.
 
In order to "pass" this course, you will need to earn a grade of 70% or higher on the final exam. Your score on the exam will be tabulated as soon as you complete it. If you do not pass the exam, you may take it again.

Time Commitment: Completing this course should take you a total of approximately 58 hours. Each unit includes a time advisory that lists the amount of time you are expected to spend on each subunit. It may be useful to take a look at these time advisories and determine how much time you have over the next few weeks to complete each unit and to then set goals for yourself. For example, unit 1 should take approximately 13 hours. It may be helpful to sit down with your calendar and decide, for example, to complete subunit 1.1 (a total of 5 hours and 15 minutes) over the course of 5 nights, working for about an hour each night.
 
Tips/Suggestions: It would be helpful to have a notebook or binder for all the materials you will complete in this course. As you read or watch videos, take careful notes on a separate sheet of paper. Mark down any important ideas, formulas, and definitions that stand out to you. It will be useful to use all of this work as a review prior to completing the final exam.
 
While you are working through the course, focus on understanding what you are doing. The early material creates the tools that you will use in later sections, so make sure you do not skip over it. Solutions are included in most exercises to check your work and to serve as a learning tool. When you answer incorrectly or have trouble with a problem, you can use the provided solutions to work backward to understand the process. When you are struggling with a topic even after exploring all the given resources, searching the web for additional assistance or visiting some of the above sites for supplemental explanations or practice would be very useful.

Table of Contents: You can find the course's units at the links below.