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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...
Curated OER
Parabolas
In this parabolas worksheet, 11th graders solve and complete 7 different problems. First, they write each equation in the given form. Then, students name the coordinates of the vertex and focus. They also name the equation of the axis of...
Curated OER
Graphs of Quadratic Functions Section 11.6
In this graphing worksheet, young scholars graph quadratic functions. They identify the maximum and minimum value of the function, determine the line of symmetry, and locate the vertex. Coordinate planes are provided for each function....
Curated OER
Graphs of Quadratic Equations
In this graphs of quadratic equations worksheet, 9th graders solve and complete 9 different types of problems. First, they find the x- and y-intercept of each equation by using the quadratic formula. Then, students find the vertex using...
Curated OER
Quadratics: Polynomial Form
Students 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...
Curated OER
Parabolic Paths
Learners investigate properties of parabolas. In this algebra lesson, students identify the different paths of a parabola. They use the navigator to make observations of the parabola.
Curated OER
Discovery Research of Quadratics
Students investigate the properties behind the quadratic equation. In this algebra lesson, students identify quadratic equation in the real world. They graph the parabola and identify the vertex and intercepts.
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...
Illustrative Mathematics
Throwing Baseballs
This is a wonderful exercise for learners to apply their critical thinking skills along with their knowledge of quadratic functions and parabolas. Young mathematicians investigate a real-world scenario about the height a baseball reaches...
Curated OER
Graphing Quadratic Functions
Pupils explore quadratic functions in this algebra lesson. They investigate transformation of quadratic functions using the TI calculator. They use the vertex form for this lesson.
Curated OER
Graphing Polynomial Functions
In this algebra activity, 11th graders graph polynomial functions using quadratics and other exponential functions. They identify the vertex and other properties of a parabola. There are 8 problems with an answer key.
Curated OER
Graphic Designing with Transformed Functions
Teach your class how to transform a graph! By identifying the domain and range of the functions, high schoolers can observe the parabola and find the vertex of the transformed graph.
Curated OER
Graphing Quadratic Equations
Review the form of a quadratic function, and the parabola it creates. Continue on with the whole group to work through a mini-lab, practicing how to graph quadratic equations with one variable. The goal of this lesson is for the group...
Curated OER
Graphing Parabolas and Circles
Students graph parabolas and circles. For this algebra lesson, students create a table of values and graph the coordinate pairs to create a graph. They graph a circle using the radius and center.
Curated OER
Lesson Plan 1: Up, Down, Right, Left - Function Families
Students work in small groups to draw the trajectory of several scenarios. They label parts of the resulting parabola (vertex, axis of symmetry). Students complete four stations to explore quadratic functions.
Curated OER
Horizontal parabolas
In this horizontal parabola worksheet, learners draw the graph for the horizontal parabola given to them. Students complete 10 problems.
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
Parabolas in Flight
Students utilize a trajectory formula in order to discover the physics of a thrown ball. In this physics instructional activity, students videotape the trajectory of a thrown ball or basketball shot and analyze the action by...
Shmoop
Functions Worksheet 5
To the point and deeper thinking are both types of questions included in the worksheet. Begin the practice of solving quadratics and then finish with five questions asking quadratic and exponential application problems.
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.
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson plan introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
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
Curve Ball
Learners explore the concept of parabolas by collecting quadratic data on a bouncing ball as it is falling using a motion detector. They plot the data and determine the equation of the quadratic in vertex form, then determine the values...
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...