Lesson Plan
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Curated OER

Completing the Square

For Teachers 9th - 12th Standards
Solve equations by completing the square. The pupils factor quadratic equations and graph the parabola. They also identify the different terms in the equation and look for patterns.
Lesson Plan
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...
Lesson Plan
1
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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...
Lesson Plan
EngageNY

Completing the Square (part 2)

For Students 9th - 10th Standards
Give classes confidence in completing the square with a resource that develops the process of completing the square of more complex problems, including fractions and values greater than one. It then uses quadratic modeling for...
Lesson Plan
Curated OER

Application of Completing the Square

For Teachers 9th - 12th Standards
A TI technology activity that helps learners to recognize and use the characteristic of a perfect square quadratic to complete the square. Additionally, they apply their knowledge to solve real-world problems.
Lesson Plan
1
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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...
Lesson Plan
EngageNY

Recognizing Equations of Circles

For Teachers 9th - 12th Standards
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
Lesson Plan
EngageNY

Overcoming Obstacles in Factoring

For Students 10th - 12th Standards
What do you do when factoring doesn't work? Learners complete the square when faced with quadratic expression that don't factor traditionally. They then use factoring by grouping to solve polynomial equations.
Lesson Plan
Curated OER

Completing the Square Algebraically

For Teachers 9th - 12th Standards
Using TI-Nspire, scholars rewrite quadratic expressions by completing the square. They change the equation into vertex form.  By the end of this lesson, they should be able to change any quadratic equation into vertex form. 
Lesson Plan
EngageNY

Transformations of the Quadratic Parent Function

For Students 9th - 10th Standards
Efficiently graph a quadratic function using transformations! Pupils graph quadratic equations by completing the square to determine the transformations. They locate the vertex and determine more points from a stretch or shrink and...
Lesson Plan
EngageNY

Square Roots

For Students 8th Standards
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
Lesson Plan
Mathematics Assessment Project

Discovering the Pythagorean Theorem

For Teachers 8th Standards
Young mathematicians join the ancient order of the Pythagoreans by completing an assessment task that asks them to find the area of tilted squares on dot paper. They then look at patterns in the squares to develop the...
Lesson Plan
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...
Lesson Plan
EngageNY

Graphing Cubic, Square Root, and Cube Root Functions

For Students 9th - 10th Standards
Is there a relationship between powers and roots? Here is a lesson that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the process...
Lesson Plan
EngageNY

Construct a Square and a Nine-Point Circle

For Students 9th - 10th Standards
Anyone can draw a square, but can you CONSTRUCT a square? Here is a resource that challenges math scholars to create steps to finish their own construction. They test their ability to read and follow directions to complete a construction...
Unit Plan
Mathematics Vision Project

Structures of Expressions

For Teachers 10th - 12th Standards
This comprehensive unit investigates transformations of quadratics, having learners follow "Optima" through the development and growth of her quilting business. Deftly weaving the story into the mathematical mechanics, the unit gives...
Lesson Plan
Statistics Education Web

The Case of the Careless Zookeeper

For Students 9th - 12th Standards
Herbivores and carnivores just don't get along. Using a box of animal crackers, classes collect data about the injury status of herbivores and carnivores in the box. They complete the process of chi-square testing on the data from...
Lesson Plan
Curated OER

Discovering Math: Concepts in Algebra

For Teachers 10th - 12th
Students learn that speed is a function of time and distance, a quadratic equation can be used to figure out the path of fireworks, a photographer can use Algebra to figure out how many rolls he can afford if he needs twice as much of...
Lesson Plan
EngageNY

Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways

For Students 9th - 10th Standards
Need a real scenario to compare functions? This instructional activity has it all! Through application, individuals model using different types of functions. They analyze each in terms of the context using the key features of the...
Lesson Plan
EngageNY

Writing the Equation for a Circle

For Teachers 9th - 12th Standards
Circles aren't functions, so how is it possible to write the equation for a circle? Pupils first develop the equation of a circle through application of the Pythagorean Theorem. The lesson then provides an exercise set for learners to...
Activity
Howard Hughes Medical Institute

The Teosinte Hypothesis

For Teachers 9th - 12th Standards
Don't want to sound corny, but your class will be a-maize-d by an engaging activity! Explore the history of the modern corn plant through a video and Punnett squares. Junior genetics experts get hands-on experience with actual research...
Lesson Plan
Mathematics Assessment Project

Generalizing Patterns: The Difference of Two Squares

For Teachers 8th Standards
After completing an assessment task where they express numbers as the difference of squares (i.e., 9 = 5^2 – 4^2), class members note any patterns that they see in the problems.
Unit Plan
North Carolina State University

Exploring Genetics Across the Middle School Science and Math Curricula

For Students 6th - 8th Standards
Where is a geneticist's favorite place to swim? A gene pool. Young geneticists complete hands-on activities, experiments, and real-world problem solving throughout the unit. With extra focus on dominant and recessive genes, Punnett...
Lesson Plan
Curated OER

The Very Busy Spider

For Teachers 3rd - 4th
Youngsters explore visual arts by participating in a geometry identification activity. They read the book The Very Busy Spider and identify the techniques spiders use to create webs. Have you ever noticed that their webs are geometric...

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