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10-4 Practice: Factoring Differences of Squares
In this practice worksheet, students factor the differences of squares and identify prime expressions. Polynomials contain one or more variables, with exponents. Students complete 42 problems. An answer key is provided.
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Greatest Common Factor: Using the Factor Tree
Students find the greatest common factor of two numbers. In this algebra lesson, students use prime factorization to find their factor to simplify equations. they create a factor tree to find the factors of composite numbers.
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An Introduction to Public Key Cryptography
Students secure information online using cryptography. In this algebra lesson, students use RSA technology to encrypt information on the internet. They use modular reduction of natural numbers to understand prime number theory.
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Exponential and Logarithmic Equations
In this algebra worksheet, 11th graders solve exponential and logarithmic functions using properties of exponents and logs. There are 56 questions with an answer key.
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Range, Cluster, Gap and Outliers
There are a number of activities here where learners collect and record data, as well as, activities where the likelihood of an event happening is calculated given the experimental probability. Young statisticians organize information...
Illustrative Mathematics
An Integer Identity
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
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Euclidean Algorithm
Learners 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 Algebra.
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Base 3
Young scholars investigate this problem that aims to give a better idea of our decimal system by looking at a comparable system - the base 3 system. By seeing how base 3 numbers work students should have a better appreciation of base 10...
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Spheres
High schoolers work algebraic expressions with various types of powers to find the solutions. They Students also become familiar with problems that involve the square roots of numbers. The work should be completed with computational...
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My Son is Naughty
Learners find factors of numbers; work systematically; and use logic to explain away certain possible number combinations. They then devise and use problem solving strategies to explore situations mathematically.
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Simplifying Square Roots
Discuss the definition for a simplified form for a square root. Middle schoolers analyze different forms of a square root, the Product Property of Square Roots, and complete a worksheet.
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Systems of Equations - Week 6
In this systems of equations worksheet, students solve systems of equations simultaneously. They read story problems, write systems of equations. This two-page worksheet contains eight problems.
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More Equations - Week 8 (Consecutive Numbers)
In this consecutive numbers worksheet, students determine consecutive numbers in a sequence, solve problems using the quadratic equation, and examine coefficients. This two-page worksheet contains eight problems.
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Greatest Common Factors
In this algebra learning exercise, students solve problems using the GCF. They factor out the common variables and simplify the equations. There are 8 questions with an answer key.
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Simplifying Radical Expressions
In this radical expressions worksheet, 9th graders solve and complete 20 different problems that include simplifying various radical expressions. First, they define rationalizing the denominator. Then, students simplify and leave each in...
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Proving Quadrilaterals
In this geometry worksheet, 10th graders identify the missing angles using the polygons sum conjecture. They measure exterior and interior angles using their angle theorems. There are 63 problems.
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Probability- Two Events
In this statistics worksheet, learners examine different events after translating the word problems into equations and choose which event is most likely to occur. There are 14 questions with an answer key.
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Adding and Subtracting Rational Expressions
In this algebra worksheet, students add and subtract rational expressions using the LCM. They combine like denominators before they add and subtract the expressions. There are 8 questions.
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Patterns in Pascal's Triangle
Students examine the patterns that exist in Pascal's Triangle. They explore multiples and factors. Sudents use an applet to create and color the multiples in Pascal's Triangle.
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Displaying Postcards
Students solve a problem in a systematic and mathematical way. The use of an equation is applied to a word problem situation. It is necessary that students be familiar with different types of equations.
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The Quadratic Formula
Students solve quadratic function by completing the square. In this algebra lesson plan, students use the quadratic formula to factor quadratics and find the roots. They graph the parabola and identify its properties.
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The Sequences Problem
In this Algebra I/Geometry/Algebra II worksheet, students determine what term is missing in the two given sequences. The one page worksheet has two problems with the solutions.
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More Factors and Multiples: Greatest Common Factor
In this greatest common factor worksheet, students answer multiple choice questions about how to find the greatest common factor and actually finding it in problems. Students answer 10 questions total.
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How Does Temperature Change With Respect To Latitude and Longitude?
Pupils research the concept of predicting the weather. The research focuses on how some weather facts intuitively make sense. Students answer key questions based upon the mathematical concept of covariance.