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Intermediate Mathematics A (Independent Study)

Intermediate Mathematics A (Independent Study)

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Quick Overview

Intermediate Mathematics A is the first of a three-year middle school math sequence. This research-based course focuses on computational fluency, conceptual understanding, and problem solving and expands more deeply into concepts of geometry, algebra, and statistics.

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Intermediate Mathematics A is the first of a three-year middle school math sequence. This research-based course focuses on computational fluency, conceptual understanding, and problem solving and expands more deeply into concepts of geometry, algebra, and statistics. This engaging course features new graphics and learning tools. Students solve expressions and equations in the context of perimeter, area, and volume problems while further developing computational skills with fractions and decimals. Also in the context of problem solving, students add, subtract, multiply, and divide positive and negative numbers and work with problems addressing net gains and losses. Students solve problems involving ratios, proportions, and percents with an emphasis on both unit rates and constant rates, as well as problems involving direct variation. They learn multiple representations for communicating information, such as graphs on the coordinate plane, measures of center with statistical data, and a variety of data displays. This course also includes standards-based tasks, digital literacy skills, and multiple question types for assessments.

Course Outline

Unit 1: Problem Solving

  • Semester 1 Introduction
  • Foundations for Unit 1
  • On the Number Line
  • Order of Operations
  • Number Properties
  • Core Focus: Distributive Property Factoring
  • Translation Between Words and Math
  • Translating Mixed Operations
  • Problem-Solving Strategies
  • Core Focus: Problem Solving

Unit 2: Distance: Addition Equations

  • Foundations for Unit 2
  • Units of Distance
  • Polygons and Perimeter
  • Addition and Subtraction Equations
  • Applications of Addition and Subtraction Equations
  • Core Focus: Addition and Subtraction
  • Negative Numbers
  • Absolute Value and Distance
  • Addition and Subtraction with Negative Numbers
  • Core Focus: Negative Numbers
  • Solving Addition Equations with Negative Numbers

Unit 3: Area: Multiplication Equations

  • Foundations for Unit 3
  • Areas of Rectangles
  • Special Quadrilaterals
  • Core Focus: Similar Parallelograms
  • Areas of Triangles
  • Figures Made up of Triangles and Parallelograms
  • Unknown Side Lengths: Division
  • Core Focus: Modeling by Restructuring

Unit 4: Working with Rational Numbers

  • Foundations for Unit 4
  • Primes and Composites
  • Using Prime Factorization
  • Equivalent Fractions
  • Representing Rational Numbers
  • Comparing Rational Numbers
  • Perimeters with Fractions
  • Areas with Fractions
  • Core Focus: Factoring Fractions
  • Dividing Fractions
  • Solving Problems with Fraction Division
  • Core Focus: Fraction Division

Unit 5: Solids

  • Foundations for Unit 5
  • Cubes and Cube Roots
  • Volumes of Prisms
  • Nets of Solids
  • Core Focus: Measuring Volume
  • Surface Area: Prisms and Pyramids
  • Properties of Volume and Surface Area
  • Core Focus: Volumes and Surface Areas

Unit 6: Comparisons: Ratios

  • Foundations for Unit 6
  • Ratios as Comparisons
  • Percent
  • Finding Percents of Numbers
  • Core Focus: Understanding Ratio and Percent

Unit 7: Semester 1 Review and Checkpoint

  • Semester Review 1
  • Semester Review 2
  • Semester Review 3
  • Semester Checkpoint 1
  • Semester Checkpoint 2

Unit 8: The Second Dimension

  • Semester 2 Introduction
  • Foundations for Unit 8
  • Points on a Coordinate Plane
  • Using Points to Solve Problems
  • Equations with Two Variable
  • Core Focus: Reflection in the Coordinate Plane
  • Core Focus: Coordinate Plane Applications
  • Figures on a Coordinate Plane
  • Core Focus: Polygons in the Coordinate Plane

Unit 9: Statistical Displays

  • Foundations for Unit 9
  • More Statistical Graphs
  • Histograms
  • Scatter Plots
  • Interpreting Scatter Plots
  • Core Focus: Understanding Data Display

Unit 10: Statistical Measures

  • Foundations for Unit 10
  • Measures of Center
  • Box-and-Whisker Plots
  • Core Focus: Distribution of Data
  • Measures of Variation
  • Core Focus: Interpreting Data Sets

Unit 11: Rates

  • Foundations for Unit 11
  • Rates as Comparisons
  • Unit Rates
  • Solving Unit Rate Problems
  • Core Focus: Unit Rates
  • Average-Speed Problems

Unit 12: Rates and Direct Variation

  • Foundations for Unit 12
  • Constant-Rate Problems
  • Core Focus: Constant Rates
  • Direct Variation
  • Interpreting Direct Variation
  • Core Focus: Direct Variation Applications

Unit 13: Working with Positives and Negatives

  • Foundations for Unit 13
  • Adding and Subtracting Signed Numbers
  • Net Gains and Losses
  • Core Focus: Add and Subtract Signed Numbers
  • Multiplying Signed Numbers
  • Dividing Signed Numbers
  • Core Focus: Multiply and Divide Signed Numbers

Unit 14: Signed Numbers: Properties and Inequalities

  • Foundations for Unit 14
  • Properties of Signed Numbers
  • Core Focus: Simplifying with Properties
  • Core Focus: Factoring with Signed Numbers
  • Inequalities
  • Core Focus: Applications of Inequalities

Unit 15: Semester 2 Review and Checkpoint

  • Semester Review 1
  • Semester Review 2
  • Semester Review 3
  • Semester Checkpoint 1
  • Semester Checkpoint 2

Additional Information

Course Length 12 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

Independent Study Courses

Courses can be started any day for independent study courses without a teacher. Full-year courses last 12 months and semester courses last 6 months.


Courses Taught by a K12 Teacher

Courses with a teacher have designated start dates throughout Fall and Spring. Full-year courses last 10 months and semester courses last 5 months. Courses are taught by teachers in K12 International Academy. For details on start dates, click here.

Teacher Assisted This course is available in two forms: taught by a teacher or designed for independent use. This teacher-supported course is taught through K12 International Academy. It is also available as independent study, where a parent will guide the course.
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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!)

Using  Mobile Devices with the Online School

Unfortunately, many portable devices do not support the software products required to run the Online School. These devices may include (but not limited to): Chromebooks, iPads, iPhones, iPods, Kindles, eReaders, and Andriod phones.

Internet Connections

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