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EngageNY

#### Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?

For Students 10th - 12th Standards
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.
2 In 2 Collections
EngageNY

#### Obstacles Resolved—A Surprising Result

For Students 10th - 12th Standards
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.
Lesson Planet

#### Reasoning with Equations and Inequalities

For Students 8th - 10th Standards
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.
Lesson Planet

#### Solving Quadratic Equations

For Students 8th - 11th Standards
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...
Lesson Planet

#### Graphing Quadratic Equations

For Students 9th - 12th Standards
Build an understanding of vertex form and its relationship to the graph of a quadratic function. Through graphing, scholars learn the horizontal translations, vertical translations, and reflections results of manipulating a function....
Lesson Planet

#### Hyper-Solving Quadratic Equations

For Teachers 9th - 12th Standards
How does a ghost solve a quadratic equation? By completing the scare! Groups of learners develop a slideshow presentation outlining the ways to solve quadratic equations. The plan outlines the requirements, making the expectations clear...
Lesson Planet

#### Functions Worksheet 5

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

#### Tippy Tap Plus Piping

For Teachers 10th - 12th Standards
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...
1 In 1 Collection
Lesson Planet

#### A Shot Under Pressure

For Teachers 9th - 12th Standards
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...
Lesson Planet

#### Ramp and Review (for High School)

For Teachers 9th - 11th Standards
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...
Lesson Planet

#### Solve by Completing the Square

For Teachers 8th - 10th Standards
What do geometric squares have to do with quadratic equations? A lesson on solving quadratic equations by completing the square teaches middle and high schoolers how to use algebra tiles to create squares. They then use what they learned...
Lesson Planet

#### Solving Quadratic Equations

For Teachers 8th - 10th Standards
So many ways to solve quadratic equations—how ever will you choose? Middle schoolers review different methods of solving quadratic equations and analyze when each method would be most efficient. To round out the project, they create...
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Lesson Planet

#### Solving Quadratic Equations Using the Quadratic Formula

For Students 9th - 12th Standards
Work your way through different quadratic equations with this problem solving resource. The worksheet has twenty problems of different difficulties to get your learners confident in solving these types of problems.
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Lesson Planet

#### Quadratic Equations with Square Roots

For Students 9th - 12th Standards
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...
Lesson Planet

#### Factoring

For Teachers 9th - 11th Standards
Need a way to keep your mathematicians interacting while factoring quadratics? This activity relies on group interaction to correct and proceed with multiple factoring problems. Individuals sign their name when they approve the last...
2 In 2 Collections
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 instructional activity connects transformations to the vertex form of a quadratic equation.
2 In 2 Collections
EngageNY

#### End-of-Module Assessment Task - Algebra 1 (Module 4)

For Students 9th - 10th Standards
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,...
2 In 2 Collections
EngageNY

#### Graphing Quadratic Functions from the Standard Form

For Students 9th - 10th Standards
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...
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EngageNY

#### Using the Quadratic Formula

For Students 9th - 10th Standards
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...
3 In 3 Collections
EngageNY

#### Deriving the Quadratic Formula

For Students 9th - 10th Standards
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...
3 In 3 Collections
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 variety...
2 In 2 Collections
EngageNY

#### Completing the Square (part 1)

For Students 9th - 10th Standards
Avoid the trap of memorizing steps when completing the square with a resources that provides a conceptual approach to completing the square. Learners that are able to recognize a perfect square trinomial are ready to complete the square.
Lesson Planet

#### Derivation of the Quadratic Formula

For Students 9th - 11th Standards
What connection does the quadratic formula have with a quadratic equation? Using a matching activity, pupils construct the algebraic derivation of the quadratic formula in this Algebra II lesson task. The task provides two variations of...
Lesson Planet

#### Analytic Geometry Study Guide

For Students 9th - 12th Standards
Are you looking for a comprehensive review that addresses the Common Core standards for geometry? This is it! Instruction and practice problems built specifically for standards are included. The material includes geometry topics from...