Mathematics Assessment Project
Solving Quadratic Equations
Scholars first complete an individual assignment using a quadratic equation to model the movement of a bus around a corner. Learners then discuss their solutions with classmates and analyze the provided sample responses.
West Contra Costa Unified School District
Quadratic Equations — What We Know
Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...
Mathematics Assessment Project
Sorting Equations and Identities
Identify the identity. Learners first solve equations to find the number of solutions. Scholars then determine if given equations are always, sometimes, or never true, leading to the concept of identities.
Mathematics Assessment Project
Maximizing Profits: Selling Boomerangs
You'll return to this resource again .. .and again ... and again. Class members determine the maximum profit of a boomerang-making business by solving a system of equations. They then review and analyze provided sample responses to the...
Teach Engineering
Measuring Viscosity
Groups use a marble to determine the viscosity of household fluids. The procedure calls for pupils to measure the amount of time it takes a marble to fall a specified distance in the fluids. Using unit conversions and algebra, the teams...
EngageNY
Factoring Extended to the Complex Realm
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...
EngageNY
Complex Numbers as Solutions to Equations
Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex.
EngageNY
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra.
EngageNY
Obstacles Resolved—A Surprising Result
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
Mathematics Assessment Project
Reasoning with Equations and Inequalities
Provide class members with an opportunity to practice reasoning. A resource contains six skill-based items aligned to the Common Core. The items require pupils to reason abstractly and attend to precision.
Willow Tree
Solving Quadratic Equations
Polynomials are full of solutions! Learners understand that the degree determines the number of solutions. Examples show quadratic equations solved by factoring and by using the quadratic formula. A cubic equation is even mixed in for...
Shmoop
Functions Worksheet 5
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.
Teach Engineering
Tippy Tap Plus Piping
Getting water to a tap requires an understanding the fundamentals of fluid flow. Groups design, build, and test a piping system to get water from the source — a five gallon bucket — to a tippy tap. The objective is to be able to fill...
Teach Engineering
A Shot Under Pressure
You've got to pump it up! Using the equations for projectile motion and Bernoulli's Principle, class members calculate the water pressure in a water gun. The pupils collect data on the number of pumps and distance traveled in order to...
Teach Engineering
Ramp and Review (for High School)
Rolling for momentum. As part of a study of mechanical energy, momentum, and friction, class members experiment rolling a ball down an incline and having it collide with a cup. Groups take multiple measurements and perform several...
Los Angeles Valley College
Solving Quadratic Equations Using the Quadratic Formula
Work your way through different quadratic equations with this problem solving resource. The instructional activity has twenty problems of different difficulties to get your learners confident in solving these types of problems.
Kuta Software
Quadratic Equations with Square Roots
There are many ways to solve a quadratic expression. Here is a resource that focuses on solving by square rooting the equation. Straightforward with a full answer key, these problems prepare learners for different types of questions they...
Henrico County Public Schools
Factoring
Need a way to keep your mathematicians interacting while factoring quadratics? This learning exercise relies on group interaction to correct and proceed with multiple factoring problems. Individuals sign their name when they approve the...
EngageNY
Graphing Quadratic Equations from the Vertex Form
Graphing doesn't need to be tedious! When pupils understand key features and transformations, graphing becomes efficient. This lesson plan connects transformations to the vertex form of a quadratic equation.
EngageNY
End-of-Module Assessment Task - Algebra 1 (Module 4)
Critical thinking is an important aspect of mathematics — it's time to put your brain to work! Use this assessment to challenge pupils and test their skills. Concepts assessed include function notation, factoring, completing the square,...
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...
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...
EngageNY
Deriving the Quadratic Formula
Where did that formula come from? Lead pupils on a journey through completing the square to discover the creation of the quadratic formula. Individuals use the quadratic formula to solve quadratic equations and compare the method to...
EngageNY
Solving Quadratic Equations by Completing the Square
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 variety...