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.
Explore Learning
Quadratics: Polynomial Form
Throught this subscription-based sight, learners explore different aspects of the parabola by changing equations from standard to vertex form. Next, find the general form of the vextex based on the values of a, b, and c, and investigate...
West Contra Costa Unified School District
Standard Form of Conics
Looking for a complete go-to guide for the standard form of conics? This five-page packet does a nice job of connecting conics to prior knowledge of functions and transformations. Adapt the resource as Algebra II lesson plan...
Curated OER
Parabolas
Students review four types of parabolas. They discuss y=x^2-4x. Students practice working this problem by completing the square. They identify the vertex, focus and directrix of the parabolic formula. Students work several problems...
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
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
Storefront Signs
Learners practice finding the areas and patterns within a square and explore the concept of quadratic functions. They observe and record the area values in a table, plot a graph of Area versus Distance and complete a variety of student...
Curated OER
Lesson 5: The Quadratic Formula
Pupils plot quadratic curves to distinguish how different values of a affect a graph. They solve quadratic equations by completing the square. Student's recognize the connection between the roots and the corresponding graph's...
Curated OER
Maximum and Minimum Values
In this Algebra II worksheet, 11th graders complete the square to write a quadratic equation in Standard form. Students identify the vertex, sketch the graph and state the maximum or minimum value of the functions. The one...
Curated OER
The Quadratic Formula
Students solve quadratic function by completing the square. In this algebra lesson plan, students use the quadratic formula to factor quadratics and find the roots. They graph the parabola and identify its properties.
Mathematics Assessment Project
Representing Quadratic Functions Graphically
Sometimes being different is an advantage. An engaging activity has scholars match cards with quadratic functions in various forms. Along the way, they learn about how each form highlights key features of quadratic functions.
Curated OER
Worksheet 6, Graphing Functions
In this algebra worksheet students graph a given function by completing the square. They analyze a function and tell the axis of symmetry, the intercepts, and vertex. Students identify the maximum or minimum of a graph. Students identify...
Curated OER
Quadratic Rules and Graphs
Students identify the properties of quadratic equations. In this algebra lesson, students find the vertex and intercepts of a parabola. They factor quadratics and identify the zeros of the equations.
Curated OER
The Doctrine of Signatures
Students use the graphing calculator and the core equation: y=Ax^2+Bx+C where A = the acceleration of gravity/2, B = the initial velocity, and C = initial height above ground to graph parabolas for Earth and Mars. They experiment with...
Curated OER
Pyrotechnics
Learners 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...
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...
Curated OER
Hyperbolas: Sketching from the Equation
In this algebra worksheet, students sketch graphs of hyperbolas after solving equations to standard form and interpreting the center, vertices, foci, axis, asymptotes, and eccentricity from the equation. There are 58 questions.
West Contra Costa Unified School District
Exploring Quadratics and Graphs
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
Curated OER
Quadratics: Polynomial Form
Pupils determine how to use the polynomial form of a quadratic equation to find the location of the vertex on a graph. They determine how changes in the coefficients in a quadratic function affect its vertex on a graph. Students find...