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Comprehensive Review of Mathematical Properties and Operations on Numbers

This lesson provides a thorough overview of essential mathematical concepts including classification of numbers, multi-step equations, absolute value, proportions, and percent increase/decrease. Students will learn about inequalities and when to switch signs, as well as techniques for graphing in standard and slope-intercept forms. Additionally, the lesson covers adding and subtracting radical expressions, rewriting numbers using prime factors, and simplifying answers to their simplest radical form. Engage with various examples to enhance understanding and application of these key concepts.

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Comprehensive Review of Mathematical Properties and Operations on Numbers

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  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 7 Lesson 3

  3. “I can…” • …add and subtract radical expressions • M(F&A)-10-3 • M(N&O)-10-2

  4. Recall…Write Answers in simplest Radical Form • How to rewrite a number using prime factors • Example 1-3 • 25 • 120 • 99

  5. Recall Like Terms and Unlike terms

  6. Now…look at the radicands

  7. To Add and Subtract Radicals • To add radical expressions first look at the radicands • If the radicands are the same, you add the coefficients of the radicals

  8. Examples 1-3

  9. Examples 4-6

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