Illustrative Mathematics
Identifying Even and Odd Functions
Is it even ... or odd? The task provides four functions to identify as being even, odd, or neither. Pupils use algebraic methods to make their decisions with select exponential, quadratic, and cubic functions.
Concord Consortium
Painted Stage
Find the area as it slides. Pupils derive an equation to find the painted area of a section of a trapezoidal-shaped stage The section depends upon the sliding distance the edge of the painted section is from a vertex of the trapezoid....
Curated OER
Graphs
For this algebra worksheet, students solve linear equations through graphing and quadratic equations through factoring. There are 4 questions dealing with systems of equations.
Curated OER
Coloring Interval Graphs
Students investigate planning an activity and getting it done on time. In this algebra instructional activity, students define vocabulary words related quadratic equations, including the vertex and intervals. They figure a good way to...
Curated OER
Properties of Parabolas
In this properties of parabolas worksheet, students identify the vertex and the minimum and maximum value of each parabola. They graph parabolas on a coordinate plane. This four-page worksheet contains 14 problems. Answers are provided...
Curated OER
Graphs
In this algebra worksheet, students calculate the point of intersection between a circle and a straight line. There are 5 questions with an answer key.
Curated OER
Parabolas
In this algebra worksheet, students solve parabolas using the standard and vertex forms. They find the vertex and asymptote and graph the parabola. There are 64 problems.
Curated OER
Worksheet 6, Graphing Functions
For 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...
Curated OER
Application of Parabolas
Students graph quadratic equations. In this algebra lesson, students relate the parabola to real life applications. They identify the maximum and minimum of the parabola.
Curated OER
Quadratic Equations
Tenth graders review algebraic methods of solving quadratic equations. Students discuss several methods of solving quadratic equations. They practice factoring and finding the roots of an equation for solving. A calculator is used to...
Curated OER
Quadratic Equations
In this Algebra I/Algebra II worksheet, students investigate the various methods that can be used to solve quadratic equations. The one page interactive worksheet contains instruction, worked examples and five practice problems. ...
Curated OER
System of Two Quadratic Inequalities
Students set up and solve a system of quadratic inequalities related to real-world situations.
Curated OER
"Ball Bounce" Quadratic Functions
Young scholars manipulate a ball and explore quadratic functions. In this algebra activity, students analyze the graph of a quadratic function. They identify quadratic properties.
Curated OER
Solving Quadratic Equations
In this Algebra II activity, 11th graders use the quadratic formula to solve quadratic equations. The six page activity contains instruction on topic, worked examples and five practice problems. Answers are not provided.
Curated OER
Quadratic Formula
In this Algebra II learning exercise, 11th graders use the discriminant to determine the nature of the roots of a quadratic equation, determine the best method to use when solving a quadratic, and practice using the quadratic formula to...
Curated OER
Exploring Complex Roots
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.
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
Illustrative Mathematics
Introduction to Linear Functions
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
EngageNY
Analyzing a Data Set
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work to...
EngageNY
Solving Inequalities
Do properties of equations hold true for inequalities? Teach solving inequalities through the theme of properties. Your class discovers that the multiplication property of equality doesn't hold true for inequalities when multiplying by a...
Inside Mathematics
Population
Population density, it is not all that it is plotted to be. Pupils analyze a scatter plot of population versus area for some of the states in the US. The class members respond to eight questions about the graph, specific points and...
Virginia Department of Education
Road Trip
Help plan a road trip with linear equations. Scholars consider two different rental car companies and write equations representing the cost for each company. They graph the system of equations to determine the conditions under which each...
Texas Instruments
Properties of Parabolas
Explore the properties of parabolas in this lesson. Construct a parabola given a focus and a directrix on the Ti-Nspire. Write equations of parabolas in vertex form and determine the a value of a parabola given a focus and directrix.
Curated OER
Linear Piecewise Functions
Students explore the concept of piecewise functions. For this piecewise functions lesson, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students write...