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Mastering Mathematical Properties: Equations, Powers, and Graphing Techniques

Dive into the essential mathematical properties that underpin algebraic concepts. This lesson covers how to classify numbers, solve multi-step equations, and navigate absolute values. Discover proportions, percent changes, and inequalities—specifically when to switch signs. Learn to graph in standard and slope-intercept forms effectively. Enhance your skills in converting between expanded and exponential forms, simplifying expressions using the power rules, and multiplying monomials. Engage in practical examples and complete homework assignments to reinforce your understanding.

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Mastering Mathematical Properties: Equations, Powers, and Graphing Techniques

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Presentation Transcript

  1. Let’s Review • Mathematical Properties • Classify Numbers • Multi-Step Equations • Absolute Value • Proportions/Percent of increase/decrease • Inequalities : When to switch sign? • Graphing Standard Form • Slope-Intercept Form • B.A.G.

  2. Unit 6 Lesson 4

  3. “I can…” • …convert between expanded form and exponential form • …use the rules of powers(product of powers, quotient of powers, power of powers, power of a product, zero power, negative power) to simplify expressions • M(F&A)-10-3 • M(N&O)-10-3

  4. Vocabulary • Anexponenttells how many times a number(or variable), called the base, is used as a factor. • Numbers that are expressed using exponents are called powers.

  5. Example of what it means

  6. Example 1 • Write each expression using exponents • Notice the number of FACTORS

  7. Example 2 • Write each power as a multiplication expression.

  8. Multiplying Monomials… • Can be tricky if you don’t follow the rules over the next couple lessons. • A monomial is a number, variable, or product of numbers and variables. Which are monomials? • Monomials that are numbers are called constants

  9. Product of powers • To multiply two powers that have the same base, add the exponents • Example 3, 4

  10. Power of a Power • To find the power of a power, multiply the exponents • Example 5, 6

  11. Power of a Product • To find the power of a product, find the power of each factor and multiply • Example 7, 8

  12. Home Work Assignment • Section handout - ALL

  13. ExitSlip

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