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Powers with Zero and Negative Exponents

For Students 8th - 10th
In this algebra worksheet, students identify the properties of exponents. They solve problems with a power of zero and negative integers. There are 7 questions with an answer key.
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Multiplication of Square-Root Radicals

For Students 9th - 11th
In this Algebra I/Algebra II learning exercise, students multiply square-root radicals and express answers in simplest form.  The one page learning exercise contains three problems.  Answers are provided. 
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Division of Square-Root Radicals

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students divided square-root radicals and express answers in simplest form.  The one page worksheet contains one problem with the answer. 
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Visualizing Integers

For Teachers 9th - 10th
Students create visuals on the TI Calculator to solve problems. In this algebra lesson, students perform basic operations with integers. They add, subtract, multiply and divide.
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Linear Systems: Graphical Interpretation of Vectors

For Students 11th - Higher Ed
For this graphical interpretation of vectors worksheet, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...
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Quadratic Equations with Complex Coefficients

For Teachers 11th - Higher Ed
Students solve and graph quadratic equations. In this algebra lesson, students perform basic operation using addition, subtraction, multiplication and division. They compute the quadratic formula.
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Polynomials

For Teachers 8th
Eighth graders investigate the concepts and combining them into polynomials. The teacher uses direct instruction for delivery. They can use Algebra to make this lesson hands-on for the benefit of kinesthetic learners.
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Euclidean Algorithm

For Teachers 9th - 12th
Young scholars are introduced to the concept of a Greatest Common Divisor. They review the number systems. Students are told how the entire field of Number Theory primarily uses the integers. They are told the Fundamental Theorem of...
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Same and Different

For Teachers 10th - 12th
  Young scholars solve algebraic equations. In this algebra lesson, students investigate linear and inverse operation of equations. Young scholars practice solving for x and plugging in values into an equation.    
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Scientific Notation

For Students 8th - 10th
In this algebra worksheet, students identify the correct method to write positive and negative exponents. They solve word problems and write in scientific notation. There are 21 questions with an answer key.
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Simplifying a Square Root

For Students 8th - 9th
In this algebra worksheet, students simplify square roots. They add and multiply the roots. There are 5 questions with an answer key.
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Word Problem Day

For Teachers 9th - 11th
Students solve word problems using algebra. In this algebra lesson, students rewrite problems using algebraic symbols and representations. They work together to find the answers to real life scenarios using math.
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Composition of Functions

For Teachers 9th - 12th
Students solve problems using the composition of functions. In this algebra lesson, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition, subtraction,...
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Patterns and Functions

For Teachers 7th - 9th
Pupils investigate patterns and functions. In this algebra lesson, students examine the repetition of integers and objects. They create formulas for the repetition and identify them as function using equations.
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Quadratic Formula

For Teachers 10th - 12th
Young scholars factor and solve quadratic equations.In this algebra lesson, students identify the roots of an equation using the quadratic formula. They graph and identify the properties of a parabola.
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Fractions Continued

For Teachers 4th - 5th
Students investigate the concept of using fractions to solve problems involving rational numbers. They order real numbers on the number line with the classification of fractions. Also students solve problems using the four operations...
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Scientific Notation

For Teachers 7th - 9th
Students observe the teacher writing numbers and determine the rules for scientific notation. After explanations, they perform operations on numbers in scientific nation and discuss reasons for using this method of writing numbers and...
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Table Settings

For Teachers 5th
Fifth graders explore and examine how to make organized lists and find patterns to help them solve problems. They identify, analyze and determine a rule for predicting and extending numerical patterns involving operations of whole...
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Linear Systems

For Students 11th - Higher Ed
In this multiplication of vectors instructional activity, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to...
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Acceptance Sampling

For Teachers 8th - 10th
In this algebra lesson, students sample food and identify acceptance sampling. They create specific plans to meet specific situations as they sample the food. There are 6 questions.
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Properties of Logarithms

For Students 11th
In this algebra activity, 11th graders apply the 3 properties of logarithms to solve equations by expanding or condensing them. There are 4 problems to solve.
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Composition of Functions

For Teachers 9th - 10th
Students solve composition of functions. In this algebra lesson, students find the sum, difference and product of functions. They find the inverse of a function.
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Square Roots

For Teachers 7th - 8th
Students differentiate between perfect roots and rational roots. In this algebra lesson, students perform operation using roots. They add, subtract, multiply and divide rational expressions.
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Consecutive Numbers

For Teachers 5th - 6th
Like all of the Problem Solving units, this one aims to introduce young scholars to the underlying ideas of mathematics through a problem. The problem here requires a knowledge of arithmetic and the use of some algebra. For this unit we...