Integrated Mathematics 2: Free Course

About this course

Integrated Mathematics 2 develops quadratic and exponential relationships alongside geometry and probability. This recorded track connects algebraic structure with graphs, measurement and uncertainty. Study the complete public source playlist from Khan Academy in English, with all 274 recordings in the on-site classroom. Original lesson titles, source order and repeated entries are preserved.

Course at a glance

What you’ll learn

• Manipulate polynomials and solve quadratic equations.
• Interpret quadratic, exponential and absolute-value models.
• Apply similarity, circle geometry and spatial measurement.
• Use event rules and counting in probability problems.

Skills you’ll gain

• Quadratic functions
• Polynomial structure
• Geometry
• Probability models

Course Overview

Polynomial arithmetic, factoring, completing the square and the quadratic formula offer several views of quadratic relationships. Complex-number lessons extend the number system when real solutions are insufficient. Absolute-value, exponential and nonlinear-system examples broaden the function work. Geometry includes similarity, right triangles, circles, constructions, conic sections and solid measurement. Probability recordings use event relationships and counting to build and compare models. The playlist's strands are interleaved rather than arranged as one linear textbook sequence, and all repeated or supporting demonstrations remain included. Choose an algebraic form for what it reveals: factors, vertex form and standard form emphasize different features of the same quadratic.

How to study the course

• Videos 1–68: this part of the source list includes “How to classify numbers” through “Solving quadratics by factoring: leading coefficient â   1”. 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 69–137: this part of the source list includes “Example with tangent and radius” through “Completing the square to write equation in standard form of a circle”. 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 138–205: this part of the source list includes “Simplifying an exponential expression” through “Constructing exponential models: half life”. 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 206–274: this part of the source list includes “Worked example: finding the missing monomial factor” through “Interpreting time in exponential models”. 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

Model a fictional area or height relationship with a quadratic and compare its factored, standard and completed-square forms where available. Interpret roots and the vertex in context. Add a related geometric calculation and a separate probability question with a clearly defined sample space. Explain the assumptions behind each result and reject solutions that conflict with the situation.

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.