Khan Academy: Differential Calculus presents a challenging subject in a way that empowers students to learn, establishing a foundation for even more advanced math skills. Lessons build on algebra and trigonometry skills, so students should have a solid background in those areas. After viewing the lessons, students can complete practice problems, with options for hints and videos -- they can also access already-worked example problems. The mission promotes a more individualized learning approach which is great for this level of math. However, you can also use the lessons in class to introduce and reinforce a topic. Have students watch the videos in small groups and, when they get to a practice problem, encourage them to collaborate as they solve; then discuss the solution as a class. Within the mission, have students solve the same practice problem on their own. And if using the missions, be sure to have students complete the pre-assessment -- suggest lessons to target areas that need improvement.
Full Disclosure: Khan Academy and Common Sense Education share funders; however, those relationships do not impact Common Sense Education's editorial independence and this learning rating.Continue reading Show less
Key Standards Supported
Graph linear and quadratic functions and show intercepts, maxima, and minima.
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
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