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Curated OER
Introduction to Solving Quadratic Equations by Factoring
Students solve quadratic equations. In this algebra lesson, students factor and graph linear and quadratic functions. They identify the standard and linear form of each equation.
Curated OER
Linear Systems: Least Squares Approximations
In this least squares approximation worksheet, students use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This four-page...
Curated OER
IB Math SL 1 - Transformations and Combinations Worksheet
Study transformations and combinations with your advanced math class. They solve four graphing problems by graphing the transformations of a parent graph. They determine the equations to represent the given transformations of a parent...
Mathematics Vision Project
Module 6: Connecting Algebra and Geometry
A geometry module connects algebraic reasoning to geometry. It challenges scholars to investigate the slope criteria for parallel and perpendicular lines, prove theorems involving coordinate geometry, and write equations for circles and...
Curated OER
Graphing Nonlinear Equations
Learners graph non-linear equations. In this algebra lesson, students investigate different polynomial functions and their shapes. They identify the different powers and zeros.
Curated OER
Quadratic Equations and Binomial Square Theorem
Students factor quadratic equations. In this algebra instructional activity, 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
Quadratic Equations and Functions
Students factor and solve quadratic equations. In this algebra lesson plan, students identify the domain and range of the quadratic function. They graph the parabola and identify the vertex.
Curated OER
Finding the Vertex of a Quadratic Function
Students solve quadratic equations and identify the vertex. In this algebra lesson, students factor quadratic equations and identify the different properties of a parabola. They graph the functions using the vertex and intercepts.
Curated OER
A Study of a Quadratic Function
Students factor and solve quadratic equations. In this algebra lesson, students play a game as the collect and graph data. they identify properties of their parabola and make predictions.
Curated OER
Up, Down, Right, Left - Function Families
Students explore quadratic functions. In this function family worksheet, students examine the quadratic function and the family of functions. They identify the affects of the shape of the parabola and its position on the coordinate...
Curated OER
Equations for Curves Passing through a Given Set of Points
Learner use three random locations on the coordinate system and simplify the expression and assign result to the variable loc. They substitute guesses for the center and radius of the circle in the equation for the center of a circle and...
Curated OER
Further Differentiation
In this further differentiation learning exercise, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each and...
Curated OER
Worksheet 3 Math 126: Ellipses and Hyperbolas
In this ellipses and hyperbolas worksheet, students solve 8 short answer and graphing problems. Students graph ellipses, hyperbolas, and parabolas given an equation. Students identify the foci of an ellipse or hyperbola.
Curated OER
As The World Curves
Students partisipate in a web scavenger hunt on an introductory lesson for conic sections. They become familiar with general forms of the equations, what they look like, and how they are used in the real-world.
Inside Mathematics
Functions
A function is like a machine that has an input and an output. Challenge scholars to look at the eight given points and determine the two functions that would fit four of the points each — one is linear and the other non-linear. The...
Curated OER
Exploring Quadratic Data with Transformation Graphing
Using a data collection device to collect data regarding a bouncing ball, students use various features on graphing calculators to experiment with the parameters of the vertex form of the parabola and their effect on the shape of the...
Balanced Assessment
Para-Ball-A
Analyze the flight of a thrown ball. Learners determine the maximum height of a thrown ball and the time it takes to hit the ground given its initial speed. They continue to review different scenarios with different maximums or...
Rice University
College Algebra
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
Curated OER
Completing the Square
Solve equations by completing the square. The pupils factor quadratic equations and graph the parabola. They also identify the different terms in the equation and look for patterns.
Concord Consortium
Circling
Come full circle in learning about conic sections. Learners first look at the type of conic section formed when concentric circles intersect a standard coordinate plane. They then see which type forms when two sets of concentric circles...
Concord Consortium
Writing and Sketching I
Writing and sketching functions—what more could you want to do? Learners write and sketch functions that meet certain conditions as they complete a short task. They find a parabola that encompasses three quadrants of the coordinate plane...
Illustrative Mathematics
Building a Quadratic Function Form
A simple tweak in the equation can mean big things for a quadratic graph. High school mathematicians look at the parent graph of a quadratic and incorporate three different changes to the function. The problems require explanations of...
CK-12 Foundation
Discriminant
Discriminate between the types of roots. The interactive root introduces the discriminant and its connection to the types and number of roots. Pupils use a slider to view graphically the effect of the sign of the discriminant on a...
Curated OER
Parabola
Students complete a worksheet and explore the parabola conic section during a web based activitiy. They answer questions based on their work as they make changes in the features of the parabola.