Foundations of Mathematics


Thinkwell's Foundations of Mathematics with Professor Edward Burger

Thinkwell's Foundations of Mathematics offers a focused approach to our Pre-algebra  curriculum. With its emphasis on such basics as integers, fractions, decimals, and percents, it's the perfect resource for students wanting a fundamentals-based approach to mathematics.

The workbook (optional) comes with lecture notes, sample problems, and exercises so that you can study even when away from the computer.

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Course Overview

what you get

  • 12-month, online subscription to our complete Foundations of Math course
  • 36-week, day-by-day course lesson plan
  • 55+ course lessons, each with a streaming video
  • Illustrated notes
  • Automatically graded drill-and-practice exercises with step-by-step answer feedback
  • Downloadable, printable course worksheets & answer keys
  • Automatically graded section quizzes
  • Chapter & Practice tests, a Midterm & Final Exam
  • Animated interactivities....and more!

how it works

  • Purchase Thinkwell's Foundations of Math through our online store
  • Create an account username and password which will give you access to the online 6th-grade math course section
  • Activate your 12-month subscription when you're ready
  • Login to the course website to access the online course materials, including streaming video lessons, exercises, quizzes, tests and more
  • Access your course anytime, anywhere, from any device
  • Your work is automatically tracked and updated in real-time
  • Transcripts, grade reports, and certificates of completion are available at request
Thinkwell's Foundations of Math Table of Contents
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1. Integers

1.1 Introduction to Integers
1.1.1 Integers and the Number Line
1.2 Operations with Integers
1.2.1 Addition of Integers
1.2.2 Subtraction of Integers
1.2.3 Multiplication and Division of Integers
1.2.4 Introduction to Exponents
1.2.5 Using the Order of Operations

2. Fractions

2.1 Introduction to Fractions
2.1.1 Factors, Multiples, and Equivalent Fractions
2.2 Operations with Fractions
2.2.1 Multiplying Fractions and Mixed Numbers
2.2.2 Dividing Fractions and Mixed Numbers
2.2.3 Adding and Subtracting Fractions and Mixed Numbers

3. Decimals

3.1 Introduction to Decimals
3.1.1 Representing, Comparing, and Ordering Decimals
3.1.2 Rounding and Estimating Decimals
3.2 Operations with Decimals
3.2.1 Adding and Subtracting Decimals
3.2.2 Multiplying Decimals
3.2.3 Dividing Decimals
3.3 Fractions and Decimals
3.3.1 Converting between Fractions and Decimals
3.3.2 The Order of Operations with Fractions and Decimals

4. Ratios, Proportions, and Percents

4.1 Ratios and Proportions
4.1.1 Ratios and Rates
4.1.2 Proportions
4.1.3 Finding an Unknown Value in a Proportion
4.1.4 Applications of Proportions
4.2 Percents
4.2.1 Introduction to Percents
4.2.2 Percents
4.2.3 Relating Percents, Decimals, and Fractions
4.2.4 Estimating with Percents
4.2.5 Finding and Using Percents

5. Variables, Expressions, and Equations

5.1 Introduction to Equations
5.1.1 Variables and Expressions
5.1.2 Translating Between Words and Math
5.1.3 Simplifying Algebraic Expressions
5.1.4 Translating Between Tables and Expressions
5.1.5 Equations and Their Solutions
5.2 Introduction to Solving Equations
5.2.1 Solving Addition Equations
5.2.2 Solving Subtraction Equations
5.2.3 Solving Multiplication Equations
5.2.4 Solving Division Equations
5.3 Solving Equations
5.3.1 Solving Equations Containing Integers
5.3.2 Writing and Solving Two-Step Equations
5.3.3 Writing and Solving Multi-Step Equations
5.3.4 Solving Equations with Variables on Both Sides
5.3.5 Solving Literal Equations

6. Measurement

6.1 Measurement
6.1.1 Understanding Customary Units of Measurement
6.1.2 Understanding Metric Units of Measurement
6.1.3 Converting Customary Units
6.1.4 Converting Metric Units
6.1.5 Converting between Customary and Metric Units
6.1.6 Time and Temperature

7. Geometry

7.1 Polygons
7.1.1 Triangles
7.1.2 Quadrilaterals
7.1.3 Finding Angles in Polygons
7.2 Area, Perimeter, and Circumference
7.2.1 Perimeter
7.2.2 Area of Rectangles and Parallelograms
7.2.3 Circles and Circumference
7.2.4 Area of Circles
7.3 Solids
7.3.1 Introduction to Three-Dimensional Figures
7.3.2 Volume of Prisms and Cylinders

8. Statistics and Graphs

8.1 Organizing, Displaying, and Interpreting Data
8.1.1 Organizing Data
8.1.2 Bar Graphs and Histograms
8.1.3 Line Graphs
8.1.4 Reading and Interpreting Circle Graphs
8.1.5 Measures of Central Tendency
Frequently Asked Questions for Thinkwell's Foundations of Math

How do Thinkwell courses work?

Your student watches a 5-10 minute online video lesson and then completes the automatically graded exercises for the topic. You'll get instant correct-answer feedback. Then move on to the next lesson! The courses are self-paced, or you can use the daily lesson plans. Just like a textbook, you can choose where to start and end, or follow the standard table of contents.

When does my 12-month online subscription start?

It starts when you're ready. You can have instant access to your online subscription when you purchase online, or you can purchase now and start later.

What math courses should a student take?

A typical sequence of secondary math courses completed by a college-bound student is: Grade 6 Math > Grade 7 Math > Grade 8 Math > Algebra 1 > Geometry > Algebra 2 > Precalculus. For students looking to include Calculus as part of their high school curriculum and are able to complete Grade 7 Math in 6th grade, the sequence can be: Grade 7 Math > Prealgebra > Algebra 1 > Geometry > Algebra 2 > Precalculus > Calculus.

Is Thinkwell’s Foundations of Math a college course?

Foundations of Math is a developmental math course primarily taught in 2-year colleges in the state of Georgia. Four year colleges will not award credit for a developmental math course; typically College Algebra is the lowest credit math course at a 4 -year college.

Does my student get school credit for Thinkwell’s Foundations of Math?

No, only schools are accredited and Thinkwell is not a school, though many accredited schools use Thinkwell.

Does Thinkwell Foundations of Math meet state standards?

State standards don’t apply since it’s a 2-year college course.

What if my student needs access to the course for more than 12 months?

You can purchase extra time in one-month, three-month, and six-month increments.

Can I share access with more than one student?

The courses are designed and licensed to accommodate one student per username and password; additional students need to purchase online access. This allows parents to keep track of each student's progress and grades.

How long does it take to complete Thinkwell’s Foundations of Math course?

The pace of your course is up to you, but most college students will schedule one semester.

Can I see my grade?

Thinkwell’s course software tracks everything your student does. When logged in, your student can click "My Grades" to see their progress.

How are grades calculated?

The course grade is calculated this way: Chapter Tests 33.3%, Midterm: 33.3%, Final: 33.3%.

What is acceptable performance on the exams?

As a homeschool parent, you decide the level of performance you want your student to achieve; the course does not limit access to topics based on performance on prior topics.

Can I get a transcript?

You can contact to request a file with your student's grades.

What if I change my mind and want to do a different math course, can I change?

If you discover that you should be in a different course, contact within one week of purchase and we will move you to the appropriate course.

Can I print the exercises?

Yes, but completing the exercises online provides immediate correct answer feedback and automatic scoring, so we recommend answering the exercises online.

Are exercises multiple choice?

Most of the exercises are multiple choice and they are graded automatically with correct answer solutions.

Is Thinkwell's Foundations of Math Math built on "continuous review?"

Thinkwell's Foundations of Math is carefully constructed to build on previous knowledge, reinforcing key concepts every step of the way. It is not only a reflection of empirically effective instruction, but also reflects Dr Burger’s philosophies learned over a career of teaching mathematics, emphasizing a solid foundation that addresses why students need to learn certain concepts. Finally, Thinkwell Foundations of Math is intentionally designed to work for a wide variety of learning styles.

Is there a guarantee?

Yes, we offer a full refund within three business days of purchase, no questions asked.

How does my school review this course?

Should your school need to review a Thinkwell course for any reason, have the school contact and we can provide them access to a demo site.