Activity
Illustrative Mathematics

Building an Explicit Quadratic Function by Composition

For Teachers 8th - 12th Standards
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...
Worksheet
Curated OER

Parabolas

For Students 11th
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...
Lesson Plan
Curated OER

Graphs of Quadratic Functions Section 11.6

For Teachers 9th - 11th
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....
Worksheet
Curated OER

Graphs of Quadratic Equations

For Students 9th
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...
Lesson Plan
Curated OER

Quadratics: Polynomial Form

For Teachers 9th - 12th
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...
Lesson Plan
Curated OER

Parabolic Paths

For Teachers 9th - 12th Standards
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.
Lesson Plan
Curated OER

Discovery Research of Quadratics

For Teachers 9th - 11th
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.
Lesson Plan
Curated OER

Exploring Quadratic Data with Transformation Graphing

For Teachers 9th - 12th Standards
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...
Activity
Illustrative Mathematics

Throwing Baseballs

For Teachers 8th - 12th Standards
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...
Lesson Plan
Curated OER

Graphing Quadratic Functions

For Teachers 9th - 12th Standards
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.
Worksheet
Curated OER

Graphing Polynomial Functions

For Students 11th
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.
Lesson Plan
Curated OER

Graphic Designing with Transformed Functions

For Teachers 9th - 12th Standards
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.
Lesson Plan
Curated OER

Graphing Quadratic Equations

For Teachers 8th - 12th
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...
Lesson Plan
Curated OER

Graphing Parabolas and Circles

For Teachers 9th - 11th
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.
Lesson Plan
Curated OER

Lesson Plan 1: Up, Down, Right, Left - Function Families

For Teachers 8th - 10th
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.
Worksheet
Curated OER

Horizontal parabolas

For Students 9th - 12th
In this horizontal parabola worksheet, learners draw the graph for the horizontal parabola given to them. Students complete 10 problems.
Lesson Plan
West Contra Costa Unified School District

Investigating the Discriminant

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

Parabolas in Flight

For Teachers 9th - 12th
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...
Worksheet
Shmoop

Functions Worksheet 5

For Students 9th - 12th Standards
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. 
AP Test Prep
College Board

Random Variables vs. Algebraic Variables

For Teachers 10th - 12th Standards
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.
Lesson Plan
West Contra Costa Unified School District

Point-Slope Application Problems

For Teachers 8th - 10th Standards
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...
Lesson Plan
Curated OER

Quadratic Rules and Graphs

For Teachers 9th - 11th
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.
Lesson Plan
Curated OER

Curve Ball

For Teachers 6th - 9th Standards
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...
Lesson Plan
Curated OER

Parabolas

For Teachers 11th - 12th
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...