Addition Facts: Zero to Twenty (Anki)

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Anki is a flashcard tool which incorporates sophisticated research to maximize your study efficiency. You can import public “decks” of flashcards, such as this one. Cards are customizable! When this deck is imported into the desktop program, cards will appear as if you made them yourself. About this Flashcard Deck… Addition fact for numbers from […]

Matrix transformations (Khan Academy)

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Understanding how we can map one set of vectors to another set. Matrices used to define linear transformations. (1) Functions and linear transformations A more formal understanding of functions Vector transformations Linear transformations Visualizing linear transformations Matrix from visual representation of transformation Matrix vector products as linear transformations Linear transformations as matrix vector products Image […]

Vectors and spaces (Khan Academy)

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Let’s get our feet wet by thinking in terms of vectors and spaces. (1) Vectors Vector intro for linear algebra Real coordinate spaces Adding vectors algebraically & graphically Multiplying a vector by a scalar Vector examples Scalar multiplication Unit vector notation Unit vectors Add & subtract vectors Add vectors: magnitude & direction to component Parametric […]

Derivative applications (Khan Academy)

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The reason we study calculus, and the reason it was invented, is for its many uses in real-world problems. In particular, derivatives let us optimize functions and study their rates of change. Here we cover optimization, rates of change, L’Hopital’s rule, the mean value theorem, and more! (1) Equations of normal and tangent lines Equation […]

Trigonometric equations and identities (Khan Academy)

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Learn how to solve trigonometric equations and how to use trigonometric identities to solve various problems. (1) Trig identity reference Trig identity reference (2) The inverse trigonometric functions Intro to arcsine Intro to arctangent Intro to arccosine Evaluate inverse trig functions Restricting domains of functions to make them invertible Domain & range of inverse tangent […]

Independent and dependent events (Khan Academy)

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Introduction to probability. Independent and dependent events. Compound events. Mutual exclusive events. Addition rule for probability. (1) Basic probability Intro to theoretical probability Probability: the basics Subsets of sample spaces Subsets of sample spaces Simple probability: yellow marble Simple probability: non-blue marble Simple probability (2) Venn diagrams and adding probabilities Probability with venn diagrams Addition […]

Right triangles and trigonometry (Khan Academy)

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Triangles are not always right (although they are never wrong), but when they are it opens up an exciting world of possibilities. Not only are right triangles cool in their own right (pun intended), they are the basis of very important ideas in analytic geometry (the distance between two points in space) and trigonometry. (1) […]

Angles & intersecting lines (Khan Academy)

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This topic continues our journey through the world of Euclid by helping us understand angles and how they can relate to each other. (1) Angle basics & measurement Angles: introduction Measuring angles in degrees Measuring angles using a protractor Measuring angles using a protractor 2 Measure angles Acute, right, & obtuse angles Angle types Angle […]

Introduction to polynomials (Khan Academy)

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Learn how to add, subtract, and multiply polynomial expressions. For example, write (2x+3)(x-1) as 2x²+x-3. (1) Intro to polynomials The parts of polynomial expressions Evaluating polynomials Simplifying polynomials (2) Adding & subtracting polynomials Adding polynomials Add polynomials Subtracting polynomials Subtract polynomials Polynomial subtraction & set closure Adding & subtracting multiple polynomials Add & subtract polynomials […]

Expressions with rational exponents and radicals (Khan Academy)

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Learn about expressions with rational exponents like x^(2/3), about radical expressions like √(2t^5), and about the relationship between these two forms of representation. Learn how to evaluate and simplify such expression. (1) Introduction to rational exponents and radicals Intro to rational exponents Radicals and exponents Rational exponents: unit fractions Rewriting roots as rational exponents Evaluating […]