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.
Curated OER
Vertex Form of Parabolas
Using the method of completing the square, algebra learners rewrite quadratic equations from standard form to vertex form. They will also graph quadratics, stating the vertex and axis of symmetry. Solutions are provided.
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...
Mathematics Vision Project
Circles and Other Conics
Through a variety of hands-on activities and physical scenarios, this far-reaching unit leads learners through an exceptionally thorough exploration of circles and parabolas as conic sections. Geometric construction techniques are used...
Curated OER
Graphs
In this graphs worksheet, learners solve and complete 15 various types of problems. First, they determine the range of the function of the graph shown and write in interval notation. Then, students find the domain of the function in the...
Curated OER
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.
Curated OER
Maximum and Minimum Word Problems
In this maximum and minimum instructional activity, students solve and complete 10 various types of word problems. First, they find the numbers if the product of the square of one of the numbers with the cube of the other number is to be...
Curated OER
Make Up Test on Solving Quadratics
In this solving quadratics worksheet, 10th graders write radicals in the simplest form. They solve quadratics by factoring, completing the square, and through the use of the quadratic formula. Students determine the vertex and axis of...
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 notes, or...
Radford University
Rocket Quads
How high will it fly? Pairs build straw rockets and launch them at different angles and determine the height and horizontal distance of the flight path. Teams make conjectures about how the angle affects the measured distances and use...
Illustrative Mathematics
Building an Explicit Quadratic Function by Composition
Use an activity to illustrate the different forms of a quadratic function. Here, the task asks learners to use composition of given functions to build an explicit function. The process emphasizes the impact of the order of composition...
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 Formula
Students explore the use of the quadratic formula. After solving problems using factoring and completing the square, students then use the quadratic formula. They evaluate the discriminate, determine the nature of the roots and...
Curated OER
Quadratic Equations and Binomial Square Theorem
Students factor quadratic equations. In this algebra 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.
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
Solving Quadratic Equations
Explore methods of solving quadratic equations. Review linear functions through playing a "face off" game. Using a graphing calculator, graph quadratic functions and identify the parabola. Define the number of roots in a linear equation...
Curated OER
Horizontal parabolas
In this horizontal parabola activity, high schoolers draw the graph for the horizontal parabola given to them. Students complete 10 problems.
Curated OER
Further Differentiation
In this further differentiation worksheet, 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 describe...
Mathematics Vision Project
Structures of Expressions
This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...
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
Area and Volume
In this area and volume instructional activity, 10th graders solve and complete 6 different types of problems. First, they find the numbers if the product of one of the numbers with the square of the other number is to be as large as...
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
Academic Algebra II 1st Semester Exam
In the semester exam, students solve problems dealing the the discriminant of quadratic equations, systems of equations, linear equations and inequalities. Students also simplify radicals, complete squares, and find the inverse of a...
Curated OER
Word Problems
In this algebra worksheet, students solve word problems using algebra. They factor using the quadratic formula and complete the square. There are 4 problems with an answer key.