Solving Quadratic Inequalities
Help students understand when a quadratic is positive, negative, or zero using graphs, intervals, and inequalities.
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Mrs. Oldknow
Hi, I am Mrs. Oldknow. Join me in making math and teaching lighter, one bite sized lesson at a time.
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👍 I get how busy teaching can be, so I make bite-sized interactive math lessons that teachers can grab and use right away.
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Help students understand when a quadratic is positive, negative, or zero using graphs, intervals, and inequalities.
Identify real or complex solutions by using the discriminant to predict the type of roots in any quadratic.
Learn to divide polynomials using long division and synthetic division for fast, reliable solutions.
Explore how vertex form controls parabola shifts, stretches, and reflections and connects to standard form.
Solve quadratics by completing the square and see how it leads to vertex form for graphing.
Solve quadratic equations using factoring and the quadratic formula, with clear steps for real and complex solutions.
A clear, structured introduction to complex numbers, covering the number system, powers of i, and all four operations.
Students learn to divide complex numbers by using conjugates to simplify expressions into standard form a plus b i.
Learn core operations with complex numbers through clear examples that prepare students for future algebra work.
Students explore the repeating cycle of powers of i, building a foundation for simplifying complex-number expressions.
Complex numbers extend the number system, introducing i and expressing all numbers in the form a + bi.
A set of lessons covering domain, function behavior, composition, and inverse functions, designed to build strong foundational...
Students learn to prove inverses by checking both compositions and apply the test to linear and rational examples.
Students learn that inverse graphs reflect across the line y equals x by switching x and y coordinates.
Students learn what inverse functions do and how to find them by switching x and y and solving.
Students learn how composition can create new domain restrictions from denominators and square roots.
This lesson introduces function composition: what it means, how the notation works, and why order matters.
In this lesson, students learn how to divide functions and identify the important restrictions that come with function division.
Learn how to add, subtract, and multiply functions to create new ones and understand how each operation changes the graph.
Learn how graphs bend and behave long-term, with quick checks and an interactive exit ticket.
Students learn to read graphs and describe how functions behave. Identifying increasing, decreasing, constant intervals, and key extrema.
Learn to find break points and rewrite absolute value functions piecewise.
Learn the absolute value parent function, its V-shape, and how to find the vertex and basic shifts.
Students learn what piecewise functions are and how to read, write, and graph them using clear, simple examples.
Learn how to read domain and range from graphs, including open points, closed points, arrows, and special cases.