CK-12 Foundation
Completing the Square
Determine the area of a square with quadratics. Pupils use the interactive to visualize the process of completing the square. Scholars build a square area model to represent a quadratic expression then determine the amount that needs to...
CK-12 Foundation
Using Quadratic Equations to Solve Problems: Construct a Soccer Field
Determine whether the soccer field has the right area. Pupils create a virtual soccer field based upon constraints. They determine the equation that models the area and continue to investigate other potential areas.
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 quadratic...
Teach Engineering
Pushing it Off a Cliff
Focus on the conservation of energy, specifically looking at gravitational potential energy and kinetic energy, with a lecture that involves having friends throw light objects at each other to determine which has more kinetic energy and...
Teach Engineering
Energy on a Roller Coaster
Roll with your class into the idea of conservation of energy. Pupils use a roller coaster track to collect data to reinforce the concept of conservation of energy and the influence of friction. Class members then create a graph from...
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.
EngageNY
Systems of Equations
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.
EngageNY
End-of-Module Assessment Task - Algebra 2 (Module 1)
A series of assessment tasks require learners to process information and communicate solutions. Topics include graphing parabolas, solving linear-quadratic systems, factoring polynomials, and solving polynomial equations.
EngageNY
A Focus on Square Roots
Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions.
EngageNY
Solving Rational Equations
What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...
Teach Engineering
May the Magnetic Force Be with You
Class members use mathematics in order to better understand magnetic forces and their interaction on charged particles. After a demonstration of the interaction between a magnet and an electron beam using a CRT computer monitor, learners...
EngageNY
Graphing Systems of Equations
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.
EngageNY
Mid-Module Assessment Task - Algebra 2 (Module 1)
Challenge classes to think deeply and apply their understanding of polynomials. The assessment prompts learners to use polynomial functions to model different situations and use them to make predictions and conclusions.
Mathematics Assessment Project
Multiple Solutions
So many different kinds of equations and inequalities! Learners solve equations and inequalities with quadratics and other higher-order polynomials. They then classify the equations based on the number of solutions.
Illustrative Mathematics
Springboard Dive
Quadratics and height application problems go hand in hand like teenagers and sleeping in. High schoolers must look at the equation of a diver's height and calculate such features as the height of dive board, time entering the water, and...
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...
Teach Engineering
Swinging Pendulum
Get into the swing of things. Pupils use a pendulum to demonstrate the conversion of potential energy to kinetic energy and back. After measuring the speed of a pendulum and compare it to the calculated theoretical speed, they determine...
Teach Engineering
Bouncing Balls
How high will it bounce? Groups determine the height different balls bounce off of different surfaces. By performing the necessary calculations, they determine the initial and final momentum of the balls. The included worksheet provides...
Math Drills
Solving Quadratic Equations
Need a solving quadratic equations with factoring worksheet? Here it is! A page worth of problems all with a leading coefficient of 1 gives your class a beginners level approach to the topic.
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...
EngageNY
Graphing Quadratic Functions from Factored Form
How do you graph a quadratic function efficiently? Explore graphing quadratic functions by writing in intercept form with a lesson that makes a strong connection to the symmetry of the graph and its key features before individuals write...