West Contra Costa Unified School District
Investigating the Discriminant
When is finding the discriminant enough? Using the quadratic formula helps find solutions to quadratic equations, but there are times when just using the discriminant is appropriate. Use this algebra II lesson to help classes see the...
College Board
Random Variables vs. Algebraic Variables
Variables can vary in meaning. A reference material for AP® Statistics explains the difference between random and algebraic variables. It provides a hypothetical situation involving dice—great for use in a classroom situation.
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Quadratic Equations
In this algebra worksheet uses factoring to solve and graph quadratic equations. The three page worksheet contains explanation of topic, worked examples and five practice problems. Answers are not provided.
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Unit Plan On Quadratic Equations
Students explore a variety of ways of solving quadratic equations. Students choose from graphing, factoring, finding square roots, completing the square and using the Quadratic formula. They ponder in the end on polynomial equations.
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Exploring the Area Under a Curve
Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...
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Ellipses (Part 1)
Learners work with Ellipses in Algebra II. In this algebra lesson, students solve an equation with a radical expression. They graph ellipses and write an equation for them.
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Representing Quadratics
Students represent quadratic equations using different methods. In this algebra activity, students solve quadratics using substitution, elimination and graphing. They relate quadratics to the real world.
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Numerical Analysis: Solving Systems Of Non-Linear Equations
In this numerical analysis worksheet, students solve systems of non-linear equations. Examples and explanation are provided. This two-page worksheet contains approximately three problems.
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Diameter, Radius and Area
Students calculate the diameter, radius and area of a circle. For this geometry lesson, students investigate the different ratios of a circle. They calculate the surface are of each circle.
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Loyalists
Students explain why some colonists remained loyal to England during the American revolution. In this social studies lesson plan, students write a letter to an editor about their reasons for remaining loyal to England.
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Conic Sections
Young scholars, while using a graphing calculator, graph systems of conic sections as well as identify their solutions. They complete various word problems dealing with conic sections with their calculators. In addition, students sketch...
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Introduction to Slope Fields
Students plot slope fields. In this introduction to slope fields lesson, students plot 12 slope fields for given differential equations.
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Exploring Quadratic Graphs
In this algebra worksheet, students solve quadratic equations. They factor and graph their solutions. There are 5 questions with an answer key.
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Quadratic Equations and Binomial Square Theorem
Students factor quadratic equations. For this algebra lesson, students apply the binomial square theorem to solve quadratics. They complete the square and use the complex number system to solve for the roots.
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Kepler and his Laws
Students examine Kepler's Laws. They confirm Kepler's 3rd law by comparing orbital periods and mean distances for all major planets and study conic sections, qualitatively.
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Maximum and Minimum Points
For this maximum and minimum points worksheet, students solve and complete 12 various types of problems. First, they find the area of the smallest triangle given the point of intersection. Then, students find the volume of a box that has...
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Quadratic Equations
In this quadratic equations worksheet, students answer 15 questions about quadratic equations. Students complete the square, use the quadratic formula, write equations in vertex form, and solve quadratic equations by factoring.
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Additional Context Problems for Quadratic Models
Working with real world applications of quadratic models, students solve four practical problems requiring the use of the quadratic equation. They are guided through the process by a series of questions following each problem.
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Look at It from the Right Angle
Students investigate how geometry can be used in the field of fitness and physical performance. They view a video that demonstrates how doctors and therapists mention geometry as they treat sports-related injuries.