Curated OER
2D-Graphing Functions
Practice graphing basic equations. Algebra learners complete a table showing values of x and y. They graph the results on a coordinate grid. There are six problems: three equations are linear, and three are quadratic. The "show your...
West Contra Costa Unified School District
Multiple Representations of Equations
class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 1)
Factoring doesn't have to be intimidating. Build on prior knowledge of multiplying binomials and factoring simple trinomials to teach advanced factoring of quadratic expressions with a lesson that uses various methods of exploring the...
Concord Consortium
Quadratic Reflections
Reflect upon the graphs of quadratic functions. Given a quadratic function to graph, pupils determine whether the graph after a horizontal and vertical reflection is still a function. The final two questions ask scholars to describe a...
EngageNY
Graphing Quadratic Functions from the Standard Form
Use context to explain the importance of the key features of a graph. When context is introduced, the domain and range have meaning, which enhances understanding. Pupils use application questions to explore the key features of the graph...
Illustrative Mathematics
Building a Quadratic Function Form
A simple tweak in the equation can mean big things for a quadratic graph. High school mathematicians look at the parent graph of a quadratic and incorporate three different changes to the function. The problems require explanations of...
Curated OER
Going Back to Your Roots
Investigate the Fundamental Theorem of Algebra and explore polynomial equations to determine the number of factors, the number of roots, and investigate multiplicity of roots.
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...
Charleston School District
Pre-Test Unit 5: Solving Equations
Your pupils just may know more than you think they do! A pre-test assesses their ability to solve and write equations. It includes simple quadratic and cubic equations as well.
CK-12 Foundation
Function Rules based on Graphs: Making Money in the Hat Business
Hats off to those learning about the graphs of functions. Individuals use an interactive to plot points representing profits for a hat business. They identify a quadratic equation to represent this function and answer challenge questions...
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
Stretching the Quads
Scholars investigate transforming parabolas. In this transforming parabolas lesson, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds maximums,...
Texas Instruments
Let's Play Ball with Families of Graphs
Learners explore quadratic equations in this Algebra II lesson. They investigate families of quadratic functions by graphing the parent function and family members on the same graph. Additionally, they write the equation of the parabola...
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
Radicals and Exponents
In this radicals and exponents worksheet, students solve 25 short answer problems. Students simplify radical and exponential expressions. Students factor quadratics and use the quadratic equation to solve quadratic equations.
Curated OER
Completing the Square
In this Algebra II worksheet, 11th graders respond to a journal prompt in which they write their own quadratic equation and solve it by completing the square. The one page worksheet contains three questions. Possible answers are...
Curated OER
Applications and Problem Solving Using Quadratic Equation
In this math worksheet, learners find the solutions to the problems using the quadratic formula. They also create the algebraic expressions.
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
Chapter 10 - Objective 3.1 Quadratic Formula
In this quadratic formula instructional activity, students solve quadratic equations. They use the discriminant to determine the solution or solutions to the problem. This one-page instructional activity contains
Curated OER
Transformations of a Quadratic Function
Young scholars graph quadratic functions. In this algebra activity, students perform transformation on the TI calculator as they create a visual. They identify the vertex and intercepts of the parabola.
Curated OER
Vertex and Factored Form of Quadratic Functions
Students graph quadratic equations. In this algebra lesson, students solve quadratic equations by factoring. They identify the end behavior of the graph.
Curated OER
Exploring Quadratic Graphs
Students solve quadratic equations using graphs. In this algebra lesson, students factor quadratic equations and graph their answer. They discuss the shape of their graph based on the function.
Curated OER
Kitchen Paraboloids
Students solve quadratic equations and identify functions. In this algebra activity, students graph parabolas and identify properties describing the shape of the parabola. They find the vertex and rewrite the equation in standard form.
Inside Mathematics
Sorting Functions
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
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