Lesson 8 Menu : Lesson 8 Menu Five-Minute Check (over Lesson 11-7)
Main Ideas and Vocabulary
California Standards
Example 1: Mixed Expression to Rational Expression
Key Concept: Simplifying a Complex Fraction
Example 2: Complex Fraction Involving Numbers
Example 3: Complex Fraction Involving Monomials
Example 4: Complex Fraction Involving Polynomials
Lesson 8 MI/Vocab : Lesson 8 MI/Vocab mixed expression complex fraction Simplify mixed expressions. Simplify complex fractions.
Lesson 8 CA : Lesson 8 CA Standard 12.0 Students simplify fractions with polynomials in the numerator and denominator by factoring both and reducing them to the lowest terms. (Key)
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 8 Ex1 : Lesson 8 Ex1 Mixed Expression to Rational Expression The LCD is x – 2. Add the numerators. Distributive Property Simplify. Answer:
Slide 5 : A
B
C
D
Key Concept 11-8a : Key Concept 11-8a
Lesson 8 Ex2 : Lesson 8 Ex2 To find the total number of cookies, divide the amount of cookie dough by the amount of dough needed for each cookie. Complex Fraction Involving Numbers
Lesson 8 Ex2 : Lesson 8 Ex2 Complex Fraction Involving Numbers Convert pounds to ounces and divide by common units. Simplify. Express each term as an improper fraction.
Lesson 8 Ex2 : Lesson 8 Ex2 Answer: Katelyn can make 21 cookies. Complex Fraction Involving Numbers Simplify.
Slide 10 : A
B
C
D A. 27 cookies
B. 30 cookies
C. 25 cookies
D. 20 cookies
Lesson 8 Ex3 : Lesson 8 Ex3 Complex Fraction Involving Monomials Rewrite as a division sentence. Rewrite as multiplication by the reciprocal.
Lesson 8 Ex3 : Lesson 8 Ex3 Complex Fraction Involving Monomials Divide by common factors a, b, and c2. Simplify. Answer:
Slide 13 : A
B
C
D
Lesson 8 Ex4 : Lesson 8 Ex4 The numerator contains a mixed expression. Rewrite it as a rational expression first. Complex Fraction Involving Polynomials The LCD of the fractions in the numerator is b + 3. Simplify the numerator.
Lesson 8 Ex4 : Lesson 8 Ex4 Complex Fraction Involving Polynomials Factor. Multiply by the reciprocal of b – 4. Simplify. Rewrite as a division sentence. Answer:
Slide 16 : A
B
C
D
End of Lesson 8 : End of Lesson 8