Concord Consortium
An Algebraic Oversight
Tackle a common misconception using a performance task. Dividing by a variable to eliminate a variable may seem like a good idea, but simplifying the variable eliminates solutions as well. Learners develop algebraic and graphical support...
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
Building an Explicit Quadratic Function by Composition
Use equivalent expressions to reveal information about their graphs. Pupils verify that two quadratic functions are equivalent. By comparing the two expressions, they determine the vertex, the zeros, the y-intercept, and the...
Mt. San Antonio Collage
Quiz 1: Types of Functions
Sometimes the best things are already done for you! Here is a six-problem quiz that has a variety of problems ranging from solving quadratic equations to interpreting a function. The piece-de-resistance is the worked out answer key in...
Curated OER
Quadratics and the Discriminant
In this algebra worksheet, students calculate the discriminant of a quadratic equation identifying the number of real solution for each equation. They complete the square and use the quadratic function to solve equations. There are 12...
Curated OER
Topic 6.7 - Graphing and Solving Quadratic Inequalities
In this quadratic inequalities worksheet, students graph and then solve the 6 quadratic inequalities on this page. The worksheet has blank graphs for each problem and space available to show work.
Curated OER
Algebraic Equations
In this algebraic equations worksheet, 9th graders solve 10 different problems that include solving various types of algebraic equations. First, they determine the equation of a line and solve the absolute value of an inequality shown....
Curated OER
The Graph of a Quadratic Function
In this Algebra I/Algebra II activity, students graph quadratic functions. The five page activity contains a combination thirteen multiple choice and free response questions. Answers are included.
Curated OER
Parabolic Equations
In this parabolic activity, students write an equation of a parabola which satisfies given conditions. They match equations to the correct graph. Students identify the vertex, domain and range of an equation. This one-page activity...
Curated OER
Investigating Parabolas
In this investigating parabolas instructional activity, 9th graders solve and graph 7 different problems that include graphing various equations that represent parabolas. First, they sketch their graphs to each problem. Then, students...
Concord Consortium
Betweenness II
Read between the curves ... quadratic curves! Young scholars analyze the graphs of two quadratic functions by writing their own function whose outputs are between the two given. They then consider intersecting quadratic functions and...
Curated OER
Building Functions
Pupils determine equations that match the graphs of transformations and the parent quadratic function. The resource requires class members to attend to precision and think abstractly.
Concord Consortium
Broken Spreadsheet I
There is power in spreadsheet formulas and learners use this power to model quadratic data. Given a scatterplot of a parabola, pupils create formulas in a spreadsheet to populate the data. The formulas they use lead to an understanding...
Inside Mathematics
Printing Tickets
Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...
Curated OER
Graphs and Equations of Conic Sections Practice Test
For this conic section worksheet, students complete a thirty-one question practice test containing matching and problem solving conic equation and conic graph problems. The solutions are provided.
Curated OER
Solving Quadratic Trigonometric Equations
In this trigonometry worksheet, students solve quadratic trigonometric equations. The seven page worksheet contains explanation, examples, and sixteen multi-part questions. Answers are not included.
Curated OER
Integrated Algebra Final Exam
In this integrated algebra worksheet, students solve problems involving system of equations, quadratic equations, inequalities, surface area, and radicals. This 28-page worksheet contains 39 multi-step problems.
Curated OER
The Quadratic Formula
In this Algebra II learning exercise, 11th graders use the quadratic formula to solve quadratic equations and examine the discriminate to determine the number and type of roots a quadratic equation will have. The two page learning...
Curated OER
Tale of the Tape
How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.
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...
Illustrative Mathematics
Running Time
Ever wonder why that computer image takes so long to load? Well, math is involved and provides the algorithms needed to compute the measure in nanoseconds. Young mathematicians plug the image measures into the formulas and compare the...
Curated OER
Linear and Quadratic Functions
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They take the square roots of both side of each equation then graph both the linear and quadratic functions. There are a total of 84 problems...
Curated OER
Spaghetti Palace
In this spaghetti palace worksheet sheet, students examine data and create a scatter plot. They use their graphing calculator to find a linear model and a quadratic model for given information. Students predict total...
Curated OER
Quadratic Inequalities
In this quadratic inequalities worksheet, 9th graders solve and graph 10 different problems that include various forms of inequalities. First, they solve each equation shown algebraically. Then, students state the solution set of the...