EngageNY
Multiplying and Factoring Polynomial Expressions (part 2)
If you can multiply binomials, you can factor trinomials! This is the premise for a instructional activity on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading...
Howard County Schools
Factoring Trinomials Using Tiles
What's the opposite of multiplying binomials? Learners apply their previous knowledge of multiplying binomials using algebra tiles to factor trinomials. The lesson introduces factoring as a process that uses algebra tiles to...
Concord Consortium
Sum and Product
From linear to quadratic with a simple operation. An exploratory lesson challenges learners to find two linear functions that, when multiplied, produce a given parabola. The task includes the graph of the sum of the functions as well as...
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...
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...
Los Angeles County Office of Education
California State Standards: Algebra I
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a variety of ways to...
Curated OER
Standard Form of Quadratic Functions
Students factor quadratic equations. In this algebra lesson, students identify the factors and use them to graph the parabola. They find the parameters and vertex of each graph.
EngageNY
Mid-Module Assessment Task - Algebra 1 (module 4)
Performance task questions are the most difficult to write. Use this assessment so you don't have to! These questions assess factoring quadratics, modeling with quadratics, and key features of quadratic graphs. All questions require...
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
Graphs and Transformations of Functions
Is it possible to solve quadratic equations by factoring? It is, and your class will graph quadratic equation and functions too. They perform transformation on their graphs showing increasing and decreasing intervals, domain, and range....
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...
Illustrative Mathematics
Which Function?
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
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...
Curated OER
Factoring Trinomials
Have the class factor and solve trinomials of integers in the form x2 + bx + c, where b and c are positive. They relate factoring to area and then follow a specific format to factor their trinomials. Tiles are used to help them relate...
Curated OER
Factoring
High Schoolers engage in a study of quadratic functions and focus upon the finding of equivalence and its connection between functions. They also practice factoring using the FOIL method while manipulating the equation. The lesson also...
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
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...
Mt. San Antonio Collage
Review: Solving Equations
While there are many types of equations to solve, the main focus here is on quadratics. Starting with a quick review of the different methods, learners are guided through the solving process and are challenged to solve higher level of...
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 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
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
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
Lesson 4: Factoring to Solve Quadratic Equations
Students solve quadratic problems by factoring. Using a specified website, or an interactive CD-ROM, students graph quadratic equations. Together, on the computer, students work example problems. Students observe the link between...