Lesson Plan
EngageNY

Graphing Quadratic Equations from the Vertex Form

For Students 9th - 10th Standards
Graphing doesn't need to be tedious!  When pupils understand key features and transformations, graphing becomes efficient. This activity connects transformations to the vertex form of a quadratic equation. 
Lesson Plan
1
1
EngageNY

Solving Quadratic Equations by Completing the Square

For Students 9th - 10th Standards
Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a...
Worksheet
Mt. San Antonio Collage

Review: Solving Equations

For Students 9th - 12th Standards
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...
Handout
Charleston School District

Solving Exponent Equations

For Students 8th - 9th Standards
Show your class that not all equations are linear. The lesson asks learners to solve simple quadratic and cubic equations using square and cube roots. Problems include equations with no solutions. 
Lesson Plan
1
1
EngageNY

Systems of Equations

For Students 10th - 12th Standards
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 
Lesson Plan
1
1
EngageNY

Graphing Systems of Equations

For Students 10th - 12th Standards
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems. 
Worksheet
Shmoop

Functions Worksheet 5

For Students 9th - 12th Standards
To the point and deeper thinking are both types of questions included in the worksheet. Begin the practice of solving quadratics and then finish with five questions asking quadratic and exponential application problems. 
Lesson Plan
EngageNY

Advanced Factoring Strategies for Quadratic Expressions (part 1)

For Students 9th - 10th Standards
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 instructional activity that uses various methods of...
Assessment
Illustrative Mathematics

Building a Quadratic Function Form

For Students 9th - 12th Standards
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...
Lesson Plan
EngageNY

Existence and Uniqueness of Square Roots and Cube Roots

For Students 8th Standards
Teach cube roots by building on an understanding of square roots. The third installment of a 25-part series asks learners to solve simple quadratic and cubic equations using roots. Scholars compare square roots and cube roots throughout...
Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Worksheet
CPM

How to Recognize the Type of Graph from a Table

For Teachers 8th - 10th Standards
Linear, quadratic, and exponential functions are represented only by their table of values in this simple, well-written worksheet. Learners decide the type of graph represented based on the differences in the function values....
Lesson Plan
EngageNY

A Surprising Boost from Geometry

For Students 10th - 12th Standards
Working with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication. 
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...