Worksheet
Curated OER

Polynomial Function Exam 4

For Students 10th - 12th
In this polynomial worksheet, students solve 12 questions. The first five questions deal with the roots of the polynomials. Students state the inverse for one problem and the reciprocal for one problem. They make three graphs, and...
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

Complex Roots: A Graphical Solution

For Teachers 9th - 12th Standards
Using their Ti-Nspire to determine the solutions of parabolas, students explore the concept of complex roots.  Students determine if parabolas have real or complex roots.  Students determine the the axis of symmetry and the...
Lesson Plan
Alabama Learning Exchange

Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine

For Teachers 10th - 12th Standards
Students explore the concept of sine and cosine.  In this sine and cosine lesson, students work in groups to graph sine and cosine functions.  Students examine how coefficients in various parts of each parent function shift the...
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

Introduction to Solving Quadratic Equations by Factoring

For Teachers 7th - 10th
Pupils solve quadratic equations. In this algebra lesson plan, students factor and graph linear and quadratic functions. They identify the standard and linear form of each equation.
Lesson Plan
Curated OER

Linear-Quadratic Inequalities

For Teachers 9th - 12th Standards
Students graph linear and quadratic functions. In this algebra lesson, students create graph with specific coordinate points. They use the Ti to visualise and differentiate between the two functions.
Lesson Plan
Curated OER

Maximum and Minimum Values

For Teachers 11th
In this Algebra II worksheet, 11th graders complete the square to write a quadratic equation in Standard form.  Students identify the vertex, sketch the graph and state the maximum or minimum value of the functions.  The one...
Lesson Plan
Curated OER

The Quadratic Formula

For Teachers 7th - 10th
Students solve quadratic function by completing the square. In this algebra instructional activity, students use the quadratic formula to factor quadratics and find the roots. They graph the parabola and identify its properties.
Lesson Plan
Curated OER

Solving Quadratic Equations by Graphing

For Teachers 9th - 10th
Students solve quadratic equation by graphing. In this algebra lesson plan, students use the TI calculator to get a visual of their graph. They create a table of values, plot their points and graph the parabola.
Lesson Plan
Curated OER

Ball Toss Activity

For Teachers 9th - 12th Standards
Pupils collect data from tossing a ball into the air. Using a data collection device, they graph the data, set a window, and analyze the height of the toss, how long the ball was in the air, etc. They then find an equation that models...
Worksheet
Curated OER

Chapter 3 - Worksheet 3D

For Students 11th - 12th
In this pre-calculus worksheet 3D, learners determine if a function is even or odd. They sketch graphs of functions and find the inverse of functions. This two-page worksheet contains 18 problems.
Lesson Plan
Curated OER

Worksheet 6, Graphing Functions

For Teachers 9th - 10th
In this algebra worksheet students graph a given function by completing the square. They analyze a function and tell the axis of symmetry, the intercepts, and vertex. Students identify the maximum or minimum of a graph. Students identify...
Lesson Plan
Curated OER

Parabolic Paths

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

Solving Quadratic Equations

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students solve quadratic equations by graphing and by taking the square root of both sides.  The two page worksheet contains a combination five multiple choice and free response...
Worksheet
Curated OER

Further Differentiation

For Students 11th - Higher Ed
For 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...
Lesson Plan
Curated OER

Exploring Complex Roots

For Teachers 9th - Higher Ed Standards
In exploring the concept of complex roots, students find the axis of symmetry and roots of parabolas.  Then, they discuss what makes a solution complex and how to identify functions with complex roots.
Lesson Plan
Curated OER

The Standard Form of A Quadratic Equation

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

Linear and Quadratic Approximations

For Teachers 11th - 12th
Young scholars explore a linear, a parabolic, and a log function.  In this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function.  Young scholars examine the three graphs as they...
Lesson Plan
Curated OER

Collecting And Fitting Quadratic Data

For Teachers 9th - 12th
Students investigate the concept of using quadratic data to plot coordinates on a plane. They also apply the quadratic formula for a variety of problems with the help of a graphing calculator to draw the parabola for given coordinates.
Lesson Plan
Curated OER

Products of Linear Functions

For Teachers 8th - 10th
Students investigate the horizontal intercepts of functions. In this algebra lesson, students identify whether the factor of two functions results in a quadratic equation or not. They compare and contrast linear equations and higher...
Lesson Plan
Curated OER

Inequalities 7.3

For Teachers 7th - 8th
Graph inequalities and discuss the difference in their slopes. Learners observe rate of change as they compare linear, quadratic, and cubic functions.
Lesson Plan
Curated OER

The Football and Braking Distance: Model Data with Quadratic Functions

For Teachers 9th - 12th
Students engage in a activity that is about the concept of data analysis with the use of quadratics. They use a Precalculus text in order to give guidance for independent practice and to serve as a source for the teacher to use. The data...
Lesson Plan
EngageNY

Factoring Extended to the Complex Realm

For Students 10th - 12th Standards
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...