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Lesson Plan
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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...
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Lesson Plan
1
1
EngageNY

Structure in Graphs of Polynomial Functions

For Students 10th - 12th Standards
Don't allow those polynomial functions to misbehave! Understand the end behavior of a polynomial function based on the degree and leading coefficient. Learners examine the patterns of even and odd degree polynomials and apply them to...
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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 square.
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Lesson Plan
West Contra Costa Unified School District

Exploring Quadratics and Graphs

For Teachers 6th - 8th Standards
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
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Lesson Plan
West Contra Costa Unified School District

Divisibility Rules Justified

For Teachers 6th - 8th
How do you know if a number is divisible? Instructors first prove the divisibility rules for three and four and then class members use this modeling to prove given divisibility rules for eight and nine either individually or in groups.
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Lesson Plan
Curated OER

Factors, Divisibility, and Relatively Prime

For Teachers 7th
Seventh graders explore the concept of divisibility. In this divisibility lesson, 7th graders use divisibility rules to find factors of numbers. Students create foldables to illustrate divisibility rules.
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Lesson Plan
Curated OER

The football and Braking Distance; Model Data with Quadratic Functions

For Teachers 8th - 10th
Students use the quadratic formula to solve application problems. The first problem relates to the path of a football thrown from the top of the bleachers. Students compute the time it will take the football to reach certain heights. In...
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Lesson Plan
Curated OER

Applications Of Rational Functions

For Teachers 9th - 12th
Students engage in a lesson that is about relational functions with the application of methods to real life problem situations. They use the examples found in the lesson for the purpose of practice during guided instruction. Students can...
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Lesson Plan
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Curated OER

Sums and Difference of Cubes

For Teachers 8th - 11th Standards
Learners factor polynomials using the sum and difference of cubes. They also learn connections between the graph and expression.
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Lesson Plan
Curated OER

Calculate the Slope of a Line Using Two Points

For Teachers 8th - 11th Standards
Find that slope! This video does an excellent job of demonstrating how to use the slope formula to find the slope of a line using two points. The instructor first reviews the definition of slope of a line, then works three problems using...
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Lesson Plan
Center for Mathematics and Technology

Whole Numbers: Using an Area Model to Explain Multiplication

For Teachers 3rd - 4th Standards
There are many ways to work through a multiplication problem. Using an area model, kids complete several worksheets with different types of multiplication problems, including multiplying by ten, and explain how the new strategies differ...
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Assessment
Inside Mathematics

Sorting Functions

For Teachers 9th - 12th Standards
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...
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Lesson Plan
Ohio Department of Education

The Solution is Complex

For Teachers 9th - 12th Standards
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
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Lesson Plan
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Virginia Department of Education

Rational Functions: Intercepts, Asymptotes, and Discontinuity

For Students 10th - 12th Standards
Discover different patterns by making connections between a rational function and its graph. An engaging instructional activity asks scholars to explore the behavior of different rational functions. Groups discover a connection between...
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Lesson Plan
1
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Alabama Learning Exchange

Classifying Complex Numbers

For Teachers 10th - 12th Standards
Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.
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Lesson Plan
Curated OER

Matrix Analysis of Networks

For Teachers 9th - 11th
  Explore the connection between a finite graph, a directed graph, and a matrix. Graph lines and identify the relationship of matrices in real-world scenarios. Then use this information to work with a partner to plan and design a town...
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Lesson Plan
Curated OER

Word Problems Dealing with Ratio and Proportion

For Teachers 6th - 8th
Mindful middle-schoolers read and solve a number of word problems. Learners copy and discuss what they believe their strategies are in solving each problem. They also write their findings and share with the rest of the class.
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Lesson Plan
Curated OER

Translate Word Phrases and Sentences into Equations

For Teachers 8th - 11th Standards
Use this video to show your learners an example of how to translate word phrases into an equation to solve a real-world problem. The presenter begins with a review of how to use cross products to solve a proportion, including how to do...
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Lesson Plan
Curated OER

How Simple Is Your Rational Expression?

For Teachers 8th - 10th
Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...
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Lesson Plan
Curated OER

Difference of Squares

For Teachers 6th - 8th
Students analyze arithmetic statements. For this difference of squares lesson, students explore patterns and factor the difference of two squares. They compare quantities with integers. Students model and solve equations.
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Lesson Plan
Curated OER

Zeros of a Quadratic Function

For Teachers 9th - 12th Standards
Factor quadratic equations by teaching your young scholars how to identify the zeros of the quadratic function. They use the TI to see where the graph will intercept the coordinate plane.
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Lesson Plan
Curated OER

TI-89 Activities for PreCalculus and AP Calculus

For Teachers 9th - 12th Standards
Using the TI-89 calculator, learners explore the statistical, graphical and symbolic capabilities of the TI-89.  Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics and...
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Lesson Plan
Curated OER

A Polynomial Quilt

For Teachers 10th
Tenth graders create polynomial quilts. In this polynomials lesson, 10th graders use concrete models, such as construction paper, to create various shapes described. Students use the FOIL method to multiply terms and to get a square...
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Lesson Plan
Curated OER

Simplify Expression Using the Order of Operations

For Teachers 5th - 8th
Allow learners to explore both the right and wrong way of completing equations with the order of operations. They discuss how the order in which operations are performed affects the outcome of a problem. A fun "trick" using order of...

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