Integrated Mathematics 3: Free Course

About this course

Integrated Mathematics 3 extends function reasoning through rational, radical, logarithmic and trigonometric relationships. This track also develops polynomial structure, series and statistical modeling. Study the complete public source playlist from Khan Academy in English, with all 228 recordings in the on-site classroom. Original lesson titles, source order and repeated entries are preserved.

Course at a glance

What you’ll learn

• Compose, invert and transform functions.
• Analyze rational, radical, exponential and logarithmic relationships.
• Work with polynomial roots, binomial expansions and series.
• Use trigonometric and statistical models with explicit assumptions.

Skills you’ll gain

• Function composition
• Rational expressions
• Logarithms
• Trigonometric modeling

Course Overview

Function composition, inverses and transformations organize the course's different function families. Rational expressions require domain restrictions and attention to asymptotes; radical equations introduce possible extraneous solutions. Logarithms connect with exponentials, while trigonometric graphs support periodic models. Polynomial roots, the binomial theorem and arithmetic or geometric series add structural and combinatorial tools. Statistical-study and normal-model examples provide a separate strand on evidence and uncertainty. The source includes explanatory discussions such as Benford's law alongside worked exercises, all retained in their original positions. Check solutions in the original equation and separate an algebraic manipulation from a claim about a model's real-world validity.

How to study the course

• Videos 1–57: this part of the source list includes “Analyzing polynomial manipulations” through “Introduction to radians”. 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 58–114: this part of the source list includes “Matching functions to their graphs” through “Introduction to function inverses”. 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 115–171: this part of the source list includes “Matching ratios to trig functions” through “Estimating a solution to nonlinear system with calculator”. 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 172–228: this part of the source list includes “Factoring 5th degree polynomial to find real zeros” through “Least common multiple exercise”. 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

Choose a fictional situation modeled by a composition of two functions and interpret the intermediate quantity. Find an inverse where appropriate and state its domain. Solve a rational or radical equation, checking every candidate in the original statement. Add a periodic or exponential model and explain which features of the situation justify that choice.

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.