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Pre-Algebra, Semester 2 (MTH113B)

Pre-Algebra, Semester 2 (MTH113B)

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Quick Overview

In this course, students take a broader look at computational and problem-solving skills while learning the language of algebra. Students translate word phrases and sentences into mathematical expressions; analyze geometric figures; solve problems involving percentages, ratios, and proportions; graph different kinds of equations and inequalities; calculate statistical measures and probabilities; apply the Pythagorean theorem; and explain strategies for solving real-world problems. Lessons provide demonstrations of key concepts as well as interactive problems with contextual feedback. A textbook supplements the online material. This is the second semester of a two semester course.
Teacher-Led Course (one-time payment)   $450.00

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Unit 1: Ratio, Proportion, and Percent

Model builders use ratios and percents to describe how their models compare to real objects. They can use proportions to figure out the length of every item in the model.

  • * Semester Introduction
  • * Ratio
  • * Proportion
  • * Discuss: Ratio and Proportion
  • * Percents, Fractions, and Decimals
  • * Similarity and Scale
  • * Working with Percent
  • * Percent of Increase or Decrease
  • * Simple Interest


Unit 2: Analytic Geometry

A pilot uses numbers to locate the airport she is flying to. An air traffic controller uses numbers on a radar screen to locate each airplane approaching the airport. Without a system of locating points, airplanes would have a hard time getting anywhere safely.

  • * Points on the Plane
  • * Two-Variable Equations
  • * Linear Equations and Intercepts
  • * Slope, Part 1
  • * Slope, Part 2
  • * Problem Solving
  • * Functions, Part 1
  • * Functions, Part 2
  • * Systems of Linear Equations


Unit 3: Perimeter and Area

You can find geometric shapes in art. Whether determining the amount of leading or the amount of glass for a piece of stained-glass art, stained-glass artists need to understand perimeter and area to solve many practical problems.

  • * Types of Polygons
  • * Perimeter
  • * Areas of Rectangles and Triangles
  • * Discuss: Measurement
  • * Special Quadrilaterals
  • * Areas of Special Quadrilaterals
  • * Circumference
  • * Areas of Circles


Unit 4: Square Roots and Right Triangles

Since ancient times, people have used right triangles to survey land and build structures. Even before Pythagoras was born, the relationship between the side lengths of a right triangle has been essential to anyone building just about any structure, including pyramids, houses, skyscrapers, and bridges.

  • * Rational Square Roots
  • * Irrational Square Roots
  • * The Pythagorean Theorem
  • * The Distance Formula
  • * Special Types of Triangles
  • * Trigonometric Ratios


Unit 5: Solid Figures

Gas-powered engines are driven by little explosions that move pistons up and down in cylinders. When you add up the volume of all the cylinders, you get the displacement of the engine. For instance, each cylinder in a four-cylinder, 1000 cc engine has a volume of 250 cubic centimeters. Engineers and mechanics must accurately compute volume when they build or maintain engines.

  • * Volume and Capacity
  • * Volumes of Prisms and Cylinders
  • * Discuss: Volume
  • * Volumes of Pyramids and Cones
  • * Surface Area
  • * Surface Areas of Prisms and Cylinders


Unit 6: Counting and Probability

How many apples have mass between 100 and 200 grams? How many are bruised? How many are not yet ripe? Checking every single apple would probably be pretty impractical, but if you understand probability and sampling, you could make a good estimate.

  • * Counting Principles
  • * Permutations
  • * Combinations
  • * Probability
  • * Mutually Exclusive Events
  • * Samples and Prediction


Unit 7: Statistics

Data are everywhere. When you look at a group of people, you could use many numbers to describe them. How tall are they? How long is their hair? How old are they? What is their gender? What color are their eyes? Statistics helps you make sense of data.

  • * Graphs
  • * Measures of Center
  • * Stem-and-Leaf Plots
  • * Box-and-Whisker Plots
  • * Frequency Tables and Histograms


Unit 8: Semester Review and Test

Additional Information

Course Length 4 Months
Prerequisites N/A
Course Materials

Many K12 courses utilize physical materials in addition to the online content.  These materials may include the following.

Standard Kits

STANDARD kits contain K12 course materials that are required for completion of the course.  These kits include K12 authored materials and/or difficult to procure materials that a student needs to complete a course. Printed reference guides are not included in Standard kits.


CONSUMABLE kits contain only those materials from the standard kit that are intended for one time use. Families who purchase a Standard kit for Child A could later purchase a Consumable kit for Child B to complete the same course.


Offered for added convenience, ADDITIONAL kits contain easily obtained materials needed for the course which a family may already have in their home. 

Coach and/or Student Reference Guides are available for purchase with some courses.  Electronic versions of these reference guides are also available within digital courses.

Course Start Date

Courses Taught by a K12 Teacher

Courses with a teacher have designated start dates throughout Fall, Spring, and Summer. Full-year courses last 10 months and semester courses last 4 months. Courses are taught by teachers in K12 International Academy. For details on start dates, click here.

Teacher Assisted Yes, this course is taught by a K12 International Academy teacher. If you are looking for a teacher-supported option with additional flexibility and year-round start dates, click here to learn about the Keystone School, another K12 online private schooling option.
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To use this course, you'll need a computer with an Internet connection.  Some courses require additional free software programs, which you can download from the Internet.

Hardware and Browsers (Minimum Recommendations)

Windows OS

  • CPU: 1.8 GHz or faster processor (or equivalent)

  • RAM: 1GB of RAM

  • Browser: Microsoft Internet Explorer 9.0 or higher, Mozilla Firefox 10.0 versions or higher, Chrome 17.0 or higher

  • At this time our users are encouraged not to upgrade to Windows 10 or Edge (the new browser)


Mac OS

  • CPU: PowerPC G4 1 GHz or faster processor; Intel Core Duo 1.83 GHz or faster processor

  • RAM: 1GB of RAM

  • Browser: Firefox 10.0 versions or higher, Chrome 17.0 or higher (Safari is not supported!)

Internet Connections

It is highly recommended that a broadband connection be used instead of dial up.


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