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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...
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Lesson Plan
National Research Center for Career and Technical Education

Architecture and Construction: Stair Construction

For Teachers 6th - 12th Standards
Within the context of the construction industry, algebra pros begin to calculate slope from the sizes of stair steps. This is a terrific lesson, especially for aspiring engineers. Just be aware that it might be a stretch to meet all of...
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Lesson Plan
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Mathematics Assessment Project

Representing Polynomials

For Teachers 8th - 12th Standards
Use this complete and very detailed lesson plan to assess your students' understanding of two important behaviors of polynomials. The first is the relationship between the zeros of a polynomial function and the function's graph, and the...
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Lesson Plan
Texas Instruments

Factoring and Solving Quadratic Binomials

For Teachers 9th - 12th Standards
Here is a TI-Navigator™ activity that allows students to review the concept of factoring and solving quadratic binomials, including a connection to graphical solutions. They enter a number such as -2 using the minus key and not the...
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Worksheet
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Macquarie University

Factorizing Algebraic Expressions

For Students 8th - 10th Standards
In this comprehensive worksheet, mathematicians solve and complete various types of problems on factoring and using the quadratic formula. This worksheet also includes the use of factoring to simplify rational expressions. Overall, it...
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Lesson Plan
Curated OER

Graphing Exponentials

For Teachers 9th - 12th Standards
Bring your Algebra class to the computer lab! Using materials created by Texas Instruments, they explore exponentiasl and graphs. Be sure to download the correct materials (on the right side of the webpage) before having them walk...
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Lesson Plan
Curated OER

Stretching the Quads

For Teachers 8th - 12th Standards
Explore parabolas in this algebra lesson with the graphing calculator. The class investigates what effects the changing of the parameters of the vertex form of a quadrati have to its graph. They find the zeros of a quadratic graphically...
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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.
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Lesson Plan
Curated OER

Exponential Reflections

For Teachers 9th - 12th Standards
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Students repeat the process using different exponential functions using a slider.
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Activity
PBL Pathways

Potassium-Argon Dating

For Students 10th - Higher Ed Standards
Find the age of a fictional sample of rocks using a genuine approach. A well-designed lesson asks young mathematicians to use exponential modeling to analyze half-life. As a project-based learning activity, scholars communicate their...
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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 profit and...
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Lesson Plan
Texas Instruments

Classifying Functions

For Teachers 9th - 12th Standards
Learners explore linear, quadratic, and exponential functions in this activity that makes use of TI Navigator and TI Plus calculators. Using the technology, learners compare and contrast the three types of functions given in the activity.  
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Activity
Illustrative Mathematics

Springboard Dive

For Teachers 8th - 12th Standards
Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to...
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Activity
Illustrative Mathematics

Which Function?

For Teachers 8th - 12th Standards
Learners are given a graph of a parabola on a coordinate system, but intercepts and vertex are not labeled. The task is to analyze eight given quadratic functions and determine which ones might possibly be represented by the graph. The...
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Lesson Plan
Curated OER

The King's Chessboard

For Teachers 6th - 12th Standards
Middle schoolers speculate on the better rate of pay: a dollar a day for 10 days, or a penny the first day, two pennies the second, doubling each day for 10 days. Start by listening to the story The King's Chessboard, by David Birch....
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Lesson Plan
Curated OER

Similarities and Differences in Properties of Different Families of Functions - An Investigation

For Teachers 9th - 12th Standards
Exploring families of functions allows students compare and contrast properties of functions.  Students discuss properties that include symmetry, max and min points, asymptotes, derivatives, etc.
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Lesson Plan
Curated OER

NUMB3RS Activity: Chains and Pyramids

For Teachers 6th - 12th Standards
Watch an episode of the TV show, NUMB3RS and then explore the mathematics of chain letters and pyramid schemes, both of which involve geometric progressions and exponential growth. They discuss why both are dangerous and illegal.
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Lesson Plan
Curated OER

Exponential Transformations

For Teachers 9th - 12th Standards
Perform transformations on exponential functions! Teach your class how to perform dilation, compression, and translation. They graph exponential functions using the TI Calculator.
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Lesson Plan
Curated OER

Solving Logarithmic Equations

For Teachers 9th - 12th Standards
High schoolers solve logarithmic equations. They graph and plot logarithmic functions and use algebraic steps and the calculator to simplify and solve the equations.
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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 plan, they should be able to change any quadratic equation into vertex form. 
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Lesson Plan
Curated OER

Exponential vs. Power

For Teachers 9th - 12th Standards
Pupils differentiate between exponential and power functions. They identify the base, exponent and properties of exponential functions. They also graph the functions using the TI calculator.
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Lesson Plan
Curated OER

Infestation to Extermination

For Teachers 9th - 12th Standards
Students solve problems with exponential growth and decay. In this calculus lesson, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.
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Lesson Plan
Curated OER

Exploring Power Functions 1

For Teachers 9th - 12th Standards
Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.
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Lesson Plan
Curated OER

Solving Exponential Equations

For Teachers 9th - 12th Standards
Solving exponential and logarithmic equations is taught in this interactive lesson. Students use properties of logarithm and exponents solve functions. They estimate the solution and use the Ti to find the exact solution.