Chicago Teachers Union Quest Center
Factored Form of a Quadratic Function
Build upon linear functions to learn about quadratics. The lesson introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...
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...
Illustrative Mathematics
Building a General Quadratic Function
Rewrite a quadratic function to easily see the transformations involved. The instructional task takes a general quadratic function and rewrites it into a form that shows the translations and scaling of the parent quadratic function. The...
Kuta Software
Using the Quadratic Formula
Your learners will get plenty of practice solving quadratic equations in a worksheet using the quadratic formula. An extension to this activity would nicely connect MP5 concepts. Have learners use a graphing program to graph the...
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.
Inside Mathematics
Quadratic (2009)
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...
Inside Mathematics
Quadratic (2006)
Most problems can be solved using more than one method. A worksheet includes just nine questions but many more ways to solve each. Scholars must graph, solve, and justify quadratic problems.
Shmoop
Functions Worksheet 6
Instead of the typical function application problems, learners think a little deeper through these ten problems. Multiple types of functions are represented and the questions add a variety of thinking to practice their skills.
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
Quadratic Equations
In this algebra instructional activity uses factoring to solve and graph quadratic equations. The three page instructional activity contains explanation of topic, worked examples and five practice problems. Answers are not...
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...
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...
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...
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
Graphing Polynomial Functions
In this algebra worksheet, 11th graders graph polynomial functions using quadratics and other exponential functions. They identify the vertex and other properties of a parabola. There are 8 problems with an answer key.
Curated OER
Worksheet 6, Graphing Functions
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...
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...
Curated OER
Complex Roots: A Graphical Solution
Using their Ti-Nspire to determine the solutions of parabolas, high schoolers explore the concept of complex roots. Students determine if parabolas have real or complex roots. High schoolers determine the the axis of symmetry...
EngageNY
Analyzing a Graph
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents.
Curated OER
Polynomial Function Exam 4
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...
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...
Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
HHS Math
Group Worksheet 1F - Graphing and Finding Zero
Graph quadratic functions and find the zero in this worksheet. Twelve problems range from those that could be quickly factored and graphed, to those that require use of the quadratic formula and their graphs approximated. Solutions...
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...