Algebra Foundations: Free Course

About this course

Algebra relies on reliable arithmetic and a clear understanding of number. This foundation course reviews signed numbers, fractions, decimals, percentages, exponents, roots and basic geometry. Study the complete public source playlist from Khan Academy in English, with all 51 recordings in the on-site classroom. Original lesson titles, source order and repeated entries are preserved.

Course at a glance

What you’ll learn

• Calculate with signed numbers, fractions and decimals.
• Use percentages and equivalent numerical forms.
• Apply order of operations, exponents and square roots.
• Connect arithmetic with perimeter, area and circle quantities.

Skills you’ll gain

• Signed arithmetic
• Fractions and decimals
• Order of operations
• Radicals

Course Overview

Number-line and absolute-value examples connect symbols with position and distance. Operations with negatives, decimals and fractions prepare for expressions that mix several kinds of number. Order-of-operations lessons explain how a written expression should be evaluated, including powers and grouped operations. Percentage calculations and conversions link equivalent numerical forms. Roots and radicals extend the number toolkit, while perimeter, area and circle lessons give arithmetic a geometric setting. This is a preparation sequence for algebra rather than a complete equation-solving curriculum. Repeated explanations are retained, including more than one argument for why multiplying two negative numbers produces a positive result.

How to study the course

• Videos 1–12: this part of the source list includes “Percentage of a whole number” through “Finding a percentage”. State the quantities and conditions before calculating. Keep a brief working note, revisit an unclear explanation and test one example before moving to another part of the material.
• Videos 13–25: this part of the source list includes “Order of operations example” through “Example of adding fractions with unlike denominators word problem”. Keep equivalent expressions or representations connected. Keep a brief working note, revisit an unclear explanation and test one example before moving to another part of the material.
• Videos 26–38: this part of the source list includes “Powers of zero” through “Raising a number to the 0 and 1st power”. Check each operation with a small example before extending it. Keep a brief working note, revisit an unclear explanation and test one example before moving to another part of the material.
• Videos 39–51: this part of the source list includes “Absolute value and number lines” through “Why a negative times a negative is a positive”. Explain a result in words as well as symbols. Keep a brief working note, revisit an unclear explanation and test one example before moving to another part of the material.

Who is this for?

This course suits students, returning learners and anyone strengthening the specific mathematics named in the course. It also provides a recorded reference for revisiting a topic after an earlier lesson or study attempt. Choose examples appropriate to your background and allow time to work through the method instead of judging understanding only by how familiar the terminology sounds.

Before you start

Comfort with the preceding arithmetic or algebra skills is useful. Keep paper, a pencil and a calculator when a lesson uses one. Grade-specific courses assume the learner’s earlier grade-level knowledge.

Put the lessons into practice

Build a mixed-number practice sheet containing a signed calculation, a fraction-decimal conversion, a percentage problem and a radical expression. Explain each step and estimate the answer first. Finish with a simple area problem, distinguishing the numerical calculation from the units and geometric quantity it represents.

This optional study activity is provided by WikiFree for independent practice. Keep your working notes and use the relevant classroom recording to check a step, definition or interpretation. It is not an instructor-marked assignment.

Certificate / Assessment

Watching the public videos and using WikiFree completion tracking does not award a certificate, academic credit, an examination voucher or instructor assessment. Use your practice output to review what you can explain and repeat independently. The recorded lessons provide study material; completion tracking records your progress through that material.

Frequently asked questions

Provider: Khan Academy. Videos play from the Khan Academy channel on YouTube.