Mathematics Vision Project
Structures of Expressions
This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...
Curated OER
Polynomials and Linear Factors
This algebra worksheet reviews writing polynomials in standard form from factored form, looks at the graphs of polynomials of degree higher than two, and identifies the zeros of polynomials using the Factor Theorem and Fundamental...
Howard County Schools
Building a Playground
Scholars crave practical application. Let them use the different models of a quadratic function to plan the size and shape of a school playground. They convert between the different forms and maximize area.
Curated OER
What Functions do Two Graph Points Determine?
Your algebra learners write linear, exponential, and quadratic equations containing the same two graph points in this collaborative task.
Curated OER
Quadratic Equations
In this algebra worksheet uses factoring to solve and graph quadratic equations. The three page worksheet contains explanation of topic, worked examples and five practice problems. Answers are not provided.
Curated OER
Lesson 19: Rational Functions and Long Division
Explore rational functions with this packet. A lot of information is provided, including several examples. Learners graph rational functions and find vertical, horizontal, and oblique asymptotes. This seven-page worksheet contains...
EngageNY
Using the Quadratic Formula
What is the connection between the quadratic formula and the types of solutions of a quadratic equation? Guide young mathematicians through this discovery as they use the discriminant to determine the number and types of solutions, and...
Virginia Department of Education
Quadratic Equations
Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...
Curated OER
Model Data with Quadratic Functions
Students model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
Curated OER
Finding the Vertex of a Quadratic Function
Young scholars solve quadratic equations and identify the vertex. In this algebra lesson, students factor quadratic equations and identify the different properties of a parabola. They graph the functions using the vertex and intercepts.
Curated OER
Algebra—Quadratic Equations and Functions
Students use given information on wind speed with the quadratic formula to determine the pressure of the wind on a building. In this quadratic equations lesson, students compute the pressure of the wind from two data tables. They graph...
Curated OER
The football and Braking Distance; Model Data with Quadratic Functions
Students use the quadratic formula to solve application problems. The first problem relates to the path of a football thrown from the top of the bleachers. Students compute the time it will take the football to reach certain heights. In...
Virginia Department of Education
Factoring for Zeros
Relate factors to zeros and x-intercepts. Scholars first graph quadratics in both standard and factored forms to see that they are the same. They go on to use the graphs to see the relationship between factors and x-intercepts.
Curated OER
Math Honors 2: Semester 1 Review
For this worksheet, learners review topics from Algebra 2. Topics include synthetic division, rational algebraic expressions, quadratic functions, imaginary number, composite functions, and inverse of a function. The three-page worksheet...
Curated OER
Solving Quadratic Equations by Factoring
In this solving quadratic equations worksheet, 9th graders solve and complete 9 different types of problems. First, they graph each quadratic equation by factoring. Then, students find the axis of symmetry and the vertex. They also find...
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...
EngageNY
Relationships Between Quantities and Reasoning with Equations and Their Graphs
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
Curated OER
Explore Graphs and Factors
Pupils graph the factors of a quadratic as linear equations and graph the parabolic equation in factored form. Also, they investigate the relationship between the x-intercepts of the lines and the zeros of the parabola.
Curated OER
Connecting Factors and Zeros
In this Algebra II lesson, students explore the connection between the factored form of a quadratics and the zero of a function. Students use a graphing calculator to verify factoring numerically and graphically.
Curated OER
Factoring Polynomials
In this factoring polynomials worksheet, 9th graders solve and complete 33 different multiple choice problems. First, they determine the equation that best represents a simplified form after factoring out the GCF. Then, students...
Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Curated OER
Solving Equations Reducible to Quadratic: Extra Practice 34
In this math worksheet, young scholars solve problems involving radicals in six problems. The other ten problems require students to factor quadratic equations and solve for the given variable. Two problems involve negative exponents.
Curated OER
Unit Plan On Quadratic Equations
Students explore a variety of ways of solving quadratic equations. Students choose from graphing, factoring, finding square roots, completing the square and using the Quadratic formula. They ponder in the end on polynomial equations.
Curated OER
Regents Exam Questions: Quadratics
In this quadratics worksheet, students identify the roots of a quadratic equation. They use FOIL and the quadratic formula to solve quadratic equations. This seven-page worksheet contains 32 problems. Answers are provided on the last...