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7th Grade - 10th Grade
Function Notation - Domain & Range - Understanding Functions
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7th Grade - 10th Grade
Mathematics
Explore the fundamentals of function notation, domain, and range through engaging real-world analogies. Gain the ability to identify and map inputs to outputs, enhancing understanding of how these concepts apply to solving mathematical problems effectively.
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8th Grade - 10th Grade
Mathematics
Explore solving exponential equations by utilizing the concept of like bases and applying negative exponent rules. Master equating exponents and simplifying algebraic expressions, which enhances skills in systematically solving linear equations.
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7th Grade - 10th Grade
Mathematics
Explore solving exponential equations by mastering methods involving square roots and exponents. Gain proficiency in equation simplification, effectively clear fractions, and enhance algebraic problem-solving skills.
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8th Grade - 10th Grade
Mathematics
Focus is placed on graphical methods for factoring quadratic expressions. Key concepts include zeros, x-intercepts, perfect square trinomials, and differences of squares. Learners will enhance their ability to factor quadratics by understanding the relationship between graph analysis and algebraic expressions.
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7th Grade - 10th Grade
Mathematics
Focus on multiplying and simplifying binomial expressions, emphasizing special products such as conjugates and the difference of squares. Gain insights into algebraic techniques to enhance problem-solving skills and understanding of mathematical patterns.
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6th Grade - 10th Grade
Mathematics
Master the art of solving exponential equations without relying on logarithms. Develop skills in applying exponent properties, manipulating negative exponents, and implementing the power of a power rule. Build confidence in solving complex equations through algebraic techniques and gain proficiency in these problem-solving strategies.
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8th Grade - 10th Grade
Mathematics
Explore the conversion process between logarithmic and exponential forms, emphasizing base identification and inverse relationships. Develop skills in transforming expressions and grasp the mathematical principles involved. This understanding prepares learners for applying these skills in advanced calculations.
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9th Grade - 12th Grade
Mathematics
Examine the principles of linear transformations and express vectors as linear combinations. Learners will define linear transformations, apply transformation properties, and simplify expressions effectively.
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9th Grade - 12th Grade
Mathematics
Learn to apply advanced algebraic techniques for factoring and simplifying higher degree polynomials, emphasizing perfect squares and differences of squares. Gain proficiency in using quadratic methods to transform and solve complex polynomial expressions, enhancing your understanding of algebraic structures and equation-solving skills.
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9th Grade - 12th Grade
Mathematics
Engage in complex problem-solving in mathematics with a focus on geometry, probability, and linear equations. Enhance analytical thinking skills and deepen understanding of mathematical principles by evaluating statement sufficiency, calculating side lengths, and solving age-related equations.
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9th Grade - 12th Grade
Mathematics, Physics
Explore the properties and applications of cross products in vector algebra to utilize these mathematical operations in various scenarios. Enhance your understanding of vector calculations and develop the skills needed to apply these concepts in solving real-world physics and mathematics problems.
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8th Grade - 10th Grade
Mathematics
Learners will explore the properties and solutions of quadratic equations through problem-solving with the quadratic formula. The focus will be on developing the ability to identify coefficients, simplify expressions, and apply the quadratic formula effectively to solve quadratic equations.
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8th Grade - 12th Grade
Mathematics
Focuses on simplifying complex exponential expressions through fundamental algebraic techniques. Learners will apply exponent properties effectively and combine terms to transform expressions into simpler forms.
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6th Grade - 10th Grade
Mathematics
Explore fundamental algebra concepts by focusing on solving equations, understanding algebraic expressions, and manipulating polynomials. Develop skills in equation solving and polynomial operations while applying algebraic principles to enhance understanding of algebra's foundational elements.
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8th Grade - 10th Grade
Mathematics
Explore evaluation methods for algebraic functions, focusing on skills to determine function values and utilize algebraic techniques. Develop an understanding of function properties to solve mathematical problems effectively.
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9th Grade - 12th Grade
Mathematics, Education, Instructional Technology
Investigate the impact of equation modifications on graph shapes and uncover the characteristics of various functions, facilitating the development of mathematical reasoning and problem-solving skills. By mastering these concepts, learners will gain insights into graph transformations and function properties.
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9th Grade - 12th Grade
Mathematics, Education, Instructional Technology
Engage in a comprehensive review of polynomial functions and their properties, with a focus on mastering factoring techniques and algebraic problem-solving. Enhance your understanding of polynomials by applying these methods to solve complex algebraic equations confidently and accurately.
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9th Grade - 12th Grade
Mathematics
Exploring fundamental principles of verifying inverse functions through composition, with a strong focus on algebraic concepts. Learners will build the ability to use composition to identify inverse relationships and effectively analyze function relationships.
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6th Grade - 9th Grade
Mathematics
Explore the properties of equality to understand and apply inverse operations effectively. Develop the ability to solve equations and quickly identify errors, enhancing problem-solving skills and mathematical accuracy.
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9th Grade - 12th Grade
Mathematics
Focus on mastering the skills required for factoring and simplifying rational expressions, with particular emphasis on recognizing perfect squares and using grouping techniques. Enhance the ability to solve complex algebraic problems, apply exponent rules, and identify when expressions become undefined.
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