Lesson 3 Menu : Lesson 3 Menu Five-Minute Check (over Lesson 11-2)
Main Ideas
California Standards
Example 1: Expressions Involving Monomials
Example 2: Expressions Involving Polynomials
Example 3: Real-World Example: Dimensional Analysis
Lesson 3 MI/Vocab : Lesson 3 MI/Vocab Multiply rational expressions. Use dimensional analysis with multiplication.
Lesson 3 CA : Lesson 3 CA Standard 13.0 Students add, subtract, multiply, and divide rational expressions and functions. Students solve both computationally and conceptually challenging problems by using these techniques. (Key)
Lesson 3 Ex1 : Lesson 3 Ex1 Expressions Involving Monomials Method 1 Divide by the greatest common factor after multiplying. The GCF is 98xyz. Simplify.
Lesson 3 Ex1 : Lesson 3 Ex1 Expressions Involving Monomials Method 2 Divide the common factors before multiplying. Divide by common factors 2, 72, x, y, and z. Multiply. Answer:
Slide 6 : A
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D
Lesson 3 Ex2 : Lesson 3 Ex2 Expressions Involving Polynomials Factor. The GCF is (b + 3)(b – 3).
Lesson 3 Ex2 : Lesson 3 Ex2 Expressions Involving Polynomials Multiply. Simplify. Answer:
Slide 9 : A
B
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D
Lesson 3 Ex3 : Lesson 3 Ex3 SPACE The velocity that a spacecraft must have in order to escape Earth’s gravitational pull is called the escape velocity. The escape velocity for a spacecraft leaving Earth is about 40,320 kilometers per hour. What is this speed in meters per second? Dimensional Analysis
Lesson 3 Ex3 : Lesson 3 Ex3 Answer: The escape velocity is 11,200 meters per second. Dimensional Analysis Multiply. Simplify.
Slide 12 : A
B
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D A. 330 kilometers per hour
B. 1188 kilometers per hour
C. 3300 kilometers per hour
D. 500 kilometers per hour AVIATION The speed of sound, or Mach 1, is approximately 330 meters per second at sea level. What is the speed of sound in kilometers per hour?
End of Lesson 3 : End of Lesson 3