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Worksheet
Curated OER

Polynomial Functions

For Students 11th
In this Algebra II worksheet, 11th graders classify polynomials by degree, write in standard form, and describe the behavior of the graph. The two page worksheet provides explanation and examples along with thirteen practice problems....
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Lesson Plan
Curated OER

Polynomial Functions

For Teachers 11th - 12th
Students explore polynomial functions.  In this Algebra II lesson, students explore graphs of polynomial functions as classify the functions as linear, quadratic, cubic, or quartic.  Students determine the regression equation for each...
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Lesson Plan
Curated OER

Vertical and Horizontal Translations

For Teachers 11th - 12th
Students analyze function graphs.  In this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the translation...
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Activity
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Illustrative Mathematics

Transforming the graph of a function

For Teachers 8th - 12th Standards
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and  cf(x) for specific values of c. The...
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Worksheet
Curated OER

Imaginary and complex Numbers

For Students 11th
In this Algebra II worksheet, 11th graders simplify expression involving imaginary and complex numbers and determine the quadratic equation that would have the given complex roots.  The on page worksheet contains thirty-four problems. ...
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Lesson Plan
Curated OER

Strike a Pose: Modeling in the Real World (There's Nothing to It!)

For Teachers 8th - 12th Standards
Adjust this lesson to fit either beginning or more advanced learners. Build a scatter plot, determine appropriate model (linear, quadratic, exponential), and then extend to evaluate the model with residuals. This problem uses real-world...
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Lesson Plan
Curated OER

Diophantus II

For Teachers 9th - 12th
Pupils use an ancient math game to establish the context for solving problems by investigating them in a systematic and mathematical way. They also need to have the ability to solve various types of equations.
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Worksheet
Curated OER

Mathematics B: High School Exam

For Students 11th - 12th
In this mathematics worksheet, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This worksheet contains, but is not limited to, radicals, inverse functions, transformations, and...
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Lesson Plan
Curated OER

Maximum, Minimum, Increasing, Decreasing

For Teachers 9th - Higher Ed Standards
Learners practice with the StudyCard set on assessing real-world contexts dealing with the concepts of maximum, minimum, increasing and decreasing. They view a variety of quadratic functions and equations with their TI-83 Plus calculators.
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Activity
Illustrative Mathematics

Zeroes and Factorization of a General Polynomial

For Teachers 10th - 12th Standards
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
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Worksheet
Curated OER

Graphical Analysis of a Graphical Analysis of a Function

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, learners analyze the graphs of two functions by determining the functional value from the graph and given the functional value, determine the x value.  The one page worksheet contains nine...
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Lesson Plan
Curated OER

Credit Cards and Compound Interests-Exponential Growth

For Teachers 11th
Eleventh graders investigate the way credit cards work when collecting interest. In this algebra lesson, 11th graders investigate the growth of interest exponentially when using a credit card. They calculate what the cheapest rate is to...
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Lesson Plan
Curated OER

Properties of Logarithms

For Teachers 11th
Eleventh graders investigate logarithms.  In this Algebra II lesson, 11th graders explore the properties of logarithms that are used to simplify expression and solve equations.  Students confirm their conjectures regarding the properties...
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Lesson Plan
Curated OER

Relating Distance and Velocity Over Time

For Teachers 8th - 11th
Students calculate the distance and velocity over time. For this algebra lesson, students graph a linear function to represent the distance vers time travel. They interpret their graphs and draw conclusion.
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Lesson Plan
EngageNY

The Multiplication of Polynomials

For Students 10th - 12th Standards
If you can multiply multi-digit integers, you can multiply polynomials. Learners use an area model to compare multiplying numbers to multiplying polynomials. They progress to using the distributive property. 
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Unit Plan
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1
Mathematics Vision Project

Module 3: Polynomial Functions

For Students 9th - 12th Standards
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving. 
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Worksheet
Curated OER

How to Write A + B square without ( )

For Students 11th - 12th
For this algebra worksheet, students investigate the reason for factoring out a quadratic equation and rewrite it without parentheses. This sheet serves as a review guide for factoring quadratics.
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Lesson Plan
Curated OER

Rows of Numbers

For Teachers 9th - 12th
Students generate patterns from a structured situation, find a rule for the general term, and express it in words and symbols. They also devise and use problem solving strategies in a systematic way.
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Lesson Plan
Curated OER

Arithmetic Complex Numbers

For Teachers 10th - 11th
Students convert quadratic functions from standard form to vertex form. In this algebra instructional activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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Worksheet
Curated OER

Theorems About Roots and Polynomial Equations

For Students 8th - 11th
For this algebra worksheet, students solve polynomial equations using factoring. They identify the roots of the equations. There are 3 questions with an answer key.
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Lesson Plan
Curated OER

Composition of Functions

For Teachers 9th - 12th
High schoolers solve problems using the composition of functions. In this algebra instructional activity, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using...
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Lesson Plan
Curated OER

The Why and How of General Terms

For Teachers 6th
Sixth graders find the recurrence relation for simple sequences construct tables of values for a pattern. They find the value of the general term of a sequence algebraically.
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Lesson Plan
Curated OER

Means of Growth

For Teachers 9th - 12th
Students collect and graph data. In this statistics lesson, students analyze their plotted data using a scatter plot. They identify lines as having positive, negative or no correlation.
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Lesson Plan
1
1
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.