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Mastering Mathematical Properties and Operations in Algebra

Dive into the essential concepts of algebra with a focus on key mathematical properties. This comprehensive guide covers number classification, the manipulation of multi-step equations, and the specifics of absolute value. Learn how to handle proportions, percent changes, and inequalities, including when to switch signs. Explore graphing techniques in standard and slope-intercept forms, and practice simplifying square and cube root expressions. Engage with real-world applications of math, from amusement park ride speeds to natural phenomena, ensuring a well-rounded grasp of algebraic principles.

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Mastering Mathematical Properties and Operations in Algebra

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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 6

  3. “I can…” • …simplify square root and cube root expressions • M(F&A)-10-3 • M(N&O)-10-2

  4. To name a few, radicals are used to calculate… • Max speed of an amusement park ride • Shoulder heights of male African elephants • Burning rate of a candle • Hang time after a jump • Beaufort Wind Scale • Sailboat speed • Pitch of a musical note • Wind velocity during a hurricane • Velocity of a falling tree

  5. Recall • How to rewrite a number using prime factors • Example 1-3 • 25 • 120 • 99

  6. Radicals

  7. Properties of Square Roots Part 1 • This shows us how to separate and multiply square roots

  8. Examples 4-7

  9. Properties of Square Roots Part 2 • This property shows us how to manipulate expressions with radicals

  10. examples 8-11

  11. In Algebra you cannot leave a radical in the denominator • So, we RATIONALIZE the denominator • Since the… • And…

  12. Here’s how… • Examples 12, 13

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