Curated OER
Thinking Outside the Box
Now this lesson plan sounds fun! High schoolers throw a ball, film it as it soars through the air, and use a spreadsheet to collect data. A scatterplot is created to produce a quadratic regression equation, an equation in vertex form,...
Curated OER
The Standard Form of A Quadratic Equation
High schoolers investigate equations that are in the standard form of a quadratic equation represented as Y=ax2+bx+c. They factor the equations into linear factors to determine the x intercepts. The graph is also used to determine the x...
Curated OER
Three Methods for Using Quadratic Functions to Model Data
In this modeling data learning exercise, students use quadratic functions to model data using three different methods. This learning exercise provides explanations and an example. Additionally, students are given the steps to...
Curated OER
Graphing Quadratic Equations with a Coefficient of One
This is a teacher page for a lesson and does not include any materials to support the lesson. Learners graph quadratic equations with a coefficient of one and create a table of values to graph a quadratic equation. They plot the values...
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.
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
Quadratic Functions
In this graphing quadratic equations worksheet, students find the vertex and graph the parabola for 24 quadratic equations. The final four are factored into binomials to increase accuracy of the x intercepts.
EngageNY
Completing the Square (part 1)
Avoid the trap of memorizing steps when completing the square with a resources that provides a conceptual approach to completing the square. Learners that are able to recognize a perfect square trinomial are ready to complete the...
Curated OER
Properties of Parabolas
Learn to identify the properties of parabolas. Students define parabola as the locus of all points equidistant from a fixed point and a fixed line. Also, interpret the equation for a parabola in vertex form and gain a visual...
Illustrative Mathematics
Building a General Quadratic Function
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Illustrative Mathematics
Springboard Dive
Quadratics and height application problems go hand in hand like teenagers and sleeping in. High schoolers must look at the equation of a diver's height and calculate such features as the height of dive board, time entering the water, and...
Curated OER
Exploring Quadratic Equations
By stretching and translating the parabola given and determining the effects on the equation, students explore finding the vertex and zeros of a parabola and relate them to the equation. Students also view the intercept form to determine...
Curated OER
Curve Ball
Create a Height-Time plot of a bouncing ball using a graphing calculator. Graph height as a function of time and identify the vertex form of a quadratic equation that is generated to describe the ball's motion. Finally, answer questions...
Curated OER
Quadratic Functions
For this algebra worksheet, students perform transformations on quadratic functions. They describe the different properties of quadratic functions. There are 12 problems.
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
Make Up Test on Solving Quadratics
In this solving quadratics activity, 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...
Curated OER
Quadratic Equations
In this quadratic equations instructional activity, 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...
Curated OER
Quadratics: vertex form
Learners practice graphing quadratic equations to find the vertex of quadratic functions. They determine if the graph opens upward or downward as well as convert quadratic equations to vertex form from polynomial form. A lab version is...
Curated OER
Quadratic Functions
In this quadratic functions worksheet, students solve and complete 16 various types of problems. First, they find the information for each equation and graph each problem on a grid. Then, students write the quadratic functions in...
Curated OER
Standard Form of Equations
Learners complete the square and identify different parts of a quadratic equation. In this algebra lesson, pupils graph conics using the TI calculator. They rewrite equations by completing the square.
Curated OER
Bouncing Ball : Function Families
A bouncing ball serves as more than entertainment when learning to apply quadratic functions to real-world events. This is the second of a two-part lesson, which can also be accessed from the website. The instructions say to measure the...
Mathed Up!
Completing the Square
Learners review how to use the completing-the-square method to identify maximum and minimum values of a quadratic function by watching a video. They see how the vertex form relates to the extreme values of a quadratic function, and use...
EngageNY
Mid-Module Assessment Task - Algebra 1 (module 4)
Performance task questions are the most difficult to write. Use this assessment so you don't have to! These questions assess factoring quadratics, modeling with quadratics, and key features of quadratic graphs. All questions require...
Curated OER
Graphs of Polynomial Functions
In this polynomial functions worksheet, 9th graders solve and complete 11 different problems. First, they write the given quadratic equations in vertex form. Then, students state the x- and y-coordinate for each polynomial function.