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Worksheet
Curated OER

Algebraic Solution of a Quadratic, Linear System

For Students 8th - 10th
For this algebra worksheet, students solve systems of equations using linear and quadratics. They graph their solutions on a coordinate plane. There are 5 questions with an answer key.
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Lesson Plan
Curated OER

Finding Patterns and Graphing Functions

For Teachers 9th - 10th
Young scholars investigate patters for area and perimeter. In this Algebra I/Geometry lesson, students explore two different patterns as they write a formula for the nth term of each pattern. Young scholars graph their results and...
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Worksheet
Curated OER

Polynomial Functions

For Students 11th
In this Algebra II activity, 11th graders use a graphing calculator to determine the regression equation of the given data, graph polynomial functions, factor polynomials, and determine the quotient and remainder in polynomial division....
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Lesson Plan
Curated OER

Inverse Linear Functions

For Teachers 8th - 10th
Students solve for the inverse functions. In this algebra lesson, students graph the inverse function and analyze it. They solve and manipulate equations using the calculator.
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Worksheet
Curated OER

Integrated Algebra Practice: Square Roots

For Students 8th - 10th
In this square roots worksheet, students calculate the square roots of whole numbers and rational numbers. Seven problems have multiple choice answers. The remaining 13 problems are short answer. One problem involves graphing a function....
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Lesson Plan
Curated OER

Finding the Vertex of a Quadratic Function

For Teachers 9th - 10th
Students solve quadratic equations and identify the vertex. In this algebra lesson, students factor quadratic equations and identify the different properties of a parabola. They graph the functions using the vertex and intercepts.
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Worksheet
Curated OER

Quadratic Functions

For Students 9th - 11th
In this algebra worksheet, students perform transformations on quadratic functions. They describe the different properties of quadratic functions. There are 12 problems.
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Lesson Plan
Curated OER

Algebra I: Multiplying Polynomials and Factoring

For Teachers 8th - 12th
Young scholars use concrete models (algebra blocks) to demonstrate their processes for solving quadratic equations. They apply the commutative, associative, and distributive properties to simplify algebraic expressions and to solve...
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Lesson Plan
Curated OER

Sloping and Intersecting a Linear Function

For Teachers 9th - 12th
Pupils examine and discuss typical linear equations, and the difference between a linear and nonlinear equation. They observe examples of linear equations and complete a worksheet.
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Worksheet
Curated OER

Integrated Algebra Practice: Exponential Growth

For Students 9th - 12th
In this exponential growth worksheet, students solve 4 short answer and multiple choice problems. Students determine the population of a city after a given amount of time.
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Worksheet
Curated OER

Ingetrated Algebra Practice

For Students 9th - 12th
For this integrated algebra worksheet, students solve probability problems.  They identify the appropriate sample space for the given experiment.  This two-page worksheet contains 4 multiple-choice problems.  Answers are provided on the...
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Worksheet
Curated OER

Exponential and Logarithmic Functions

For Students 8th - 10th
For this algebra worksheet, students identify the properties of logs. They solve exponential problems using properties of exponents. There are 6 questions.
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Worksheet
Curated OER

Trigonometric Functions

For Students 11th
In this trigonometric functions instructional activity, 11th graders solve and complete 10 different problems. First, they perform the indicated operations and simplify each function. Then, students find the ratio of the area of the...
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Worksheet
Curated OER

Linear & Quadratic Functions

For Students 9th
In this linear and quadratic equations worksheet, 9th graders solve 10 different problems related to various linear and quadratic functions. First, they determine the value of a variable by equating linear and quadratic equations. Then,...
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Lesson Plan
Curated OER

Functions and Graphs -- Pattern Detection #2

For Teachers 6th - 8th
Young scholars examine a graph made by archaeologists. In groups, they discuss the role of the size of the animals and how that affects the graph. They compare and contrast the size of animals killed by people 10,000 years ago and 8000...
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Worksheet
Curated OER

Periodic Functions

For Students 11th - 12th
In this Pre-Calculus worksheet, students solve problems involving periodic functions.  The three page worksheet contains twenty-three problems.  Answers are not provided. 
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Worksheet
Curated OER

Worksheet #2.6: MT-A141 PreCalculus

For Students 11th - 12th
In this graphing instructional activity, students predict how a graph of given functions will work. Next, they check their work using a graphing calculator. Students use algebra to complete the graph of a square and determine...
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Lesson Plan
EngageNY

Geometric Sequences and Exponential Growth and Decay

For Teachers 10th - 12th Standards
Connect geometric sequences to exponential functions. The 26th installment of a 35-part module has scholars model situations using geometric sequences. Writing recursive and explicit formulas allow scholars to solve problems in context.
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Assessment
Inside Mathematics

Party

For Teachers 8th Standards
Thirty at the party won't cost any more than twenty-five. The assessment task provides a scenario for the cost of a party where the initial fee covers a given number of guests. The class determines the cost for specific numbers of guests...
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Lesson Plan
EngageNY

Bean Counting

For Teachers 10th - 12th Standards
Why do I have to do bean counting if I'm not going to become an accountant? The 24th installment of a 35-part module has the class conducting experiments using beans to collect data. Learners use exponential functions to model this...
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Lesson Plan
Curated OER

Another Way of Factoring

For Teachers 8th - 10th Standards
Focusing on this algebra instructional activity, learners relate quadratic equations in factored form to their solutions and their graph from a number of different aspects. In some problems, one starts with the original equation and...
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Lesson Plan
EngageNY

Percent Rate of Change

For Teachers 10th - 12th Standards
If mathematicians know the secret to compound interest, why aren't more of them rich? Young mathematicians explore compound interest with exponential functions in the twenty-seventh installment of a 35-part module. They calculate future...
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Lesson Plan
EngageNY

Are All Parabolas Similar?

For Students 10th - 12th Standards
Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.
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Lesson Plan
EngageNY

Factoring Extended to the Complex Realm

For Students 10th - 12th Standards
A solution will work one way or another: find solutions, or use solutions to find the function. Learners use polynomial identities to factor polynomials with complex solutions. They then use solutions and the Zero Product Property to...

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