Curated OER
Pyrotechnics
Students discuss pyrotechnics and what they have noticed about their height and speed. They think about the path which fireworks follow which is a parabola. They follow multiplication patterns to determine the Zero Product Property and...
Curated OER
Lesson #67 Relative Extrema
Students test for relative extrema. In this Calculus lesson, 12th graders investigate the relative extrema of a function and sketch the curve from the given information without the use of a calculator.
Curated OER
Windsail Design
Students fit quadratic models to windsail designs. In this fitting quadratic models to windsail designs lesson, students compare quadratic models of sails with different measurements and mast size. Students vary the a-value...
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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...
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.
Curated OER
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.
Curated OER
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.
Curated OER
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...
Curated OER
Ellipses (Part 1)
Students work with Ellipses in Algebra II. In this algebra instructional activity, students solve an equation with a radical expression. They graph ellipses and write an equation for them.
Curated OER
Representing Quadratics
Students represent quadratic equations using different methods. In this algebra instructional activity, students solve quadratics using substitution, elimination and graphing. They relate quadratics to the real world.
Curated OER
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.
Curated OER
Diameter, Radius and Area
Students calculate the diameter, radius and area of a circle. In this geometry lesson, students investigate the different ratios of a circle. They calculate the surface are of each circle.
Curated OER
Loyalists
High schoolers explain why some colonists remained loyal to England during the American revolution. In this social studies lesson, students write a letter to an editor about their reasons for remaining loyal to England.
Curated OER
Conic Sections
Students, 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 graphs...
Curated OER
Introduction to Slope Fields
Students plot slope fields. In this introduction to slope fields lesson, students plot 12 slope fields for given differential equations.
Curated OER
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.
Curated OER
Quadratic Equations and Binomial Square Theorem
Students factor quadratic equations. In 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.
Curated OER
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.
Curated OER
Maximum and Minimum Points
In 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...
Curated OER
Quadratic Equations
In this quadratic equations worksheet, learners 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.
Curated OER
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.
Curated OER
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.
Texas Education Agency
Texas Gateway: Analyzing Graphs of Quadratic Functions
Given the graph of a situation represented by a quadratic function, the student will analyze the graph and draw conclusions.