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.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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