2. Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Multiply Fractions Example 1:Multiply Fractions and Mixed Numbers Example 2:Multiply Fractions and Mixed Numbers Example 3:Independent Events Example 4:Real-World Example Five-Minute Check

3. Main Idea/Vocabulary Multiply rational numbers. dimensional analysis

4. NGSSS MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real world problems.

5. Key Concept

6. Example 1 Multiply Fractions and Mixed Numbers Find – ●. Write in simplest form. __ 3 4 7 12 Multiply. Then simplify. The fractions have different signs, so the product is negative. Divide –3 and 12 by their GCF, 3. Answer:

7. Example 1 CYP A. B. C. D. Find Write in simplest form.

8. Example 2 Multiply Fractions and Mixed Numbers Find. Write in simplest form. Rename as and as. Divide out common factors. Multiply.

9. Example 2 Multiply Fractions and Mixed Numbers Simplify. Answer:

10. Example 2 CYP A.–10 B.–10 C.–8 D.–2 __ 1 6 1 2 ___ 1 15 Find Write in simplest form.

11. Example 3 Independent Events The spinner is spun and a coin is tossed. What is the probability of spinning a number divisible by 3 and tossing heads? P(spinning a number divisible by 3) = __ 2 8 1 2 P(tossing heads) = __ 1 8 P(divisible by 3 and heads) = ● or. __ 2 8 1 2 Answer:The probability of spinning a number divisible by 3 and tossing heads is. __ 1 8

12. Example 3 CYP A number cube is rolled and the spinner is spun. What is the probability of rolling an even number and spinning a number divisible by 4? A. B. C. D. __ 1 4 1 2 1 8 ___ 1 16

13. Example 4 AIRCRAFT A Cessna 150 airplane cruises at a speed of 150 miles per hour. How far will it travel in hours?

14. Example 4 Write the equation. Divide by common factors and units. Answer:A Cessna 150 airplane will travel 325 miles in hours. d = 325 miles

15. Example 4 CYP A.1 miles B.2 miles C.4 miles D.4 miles __ 1 4 1 3 ___ 1 12 CANOEING While canoeing, Jeannette and Angelo average about miles per hour. How far will they travel in hours?

16. Five Minute Check 1 Find ●. Write in simplest form. __ 7 9 9 8 A. B. C. D. __ 7 8 ___ 63 72 ___ 7 16 ___ 7 72

17. Five Minute Check 2 Find ●. Write in simplest form. __ 2 3 2 3 A. B. C. D.1 __ 1 6 4 9 2 3 1 3

18. Five Minute Check 3 A.5 B.6 C.8 D.9 ___ 3 20 ___ 3 20 __ 4 5 1 5 Find. Write in simplest form.

19. Five Minute Check 4 A.3 B.3 C.4 D.4 __ 1 6 1 5 1 3 2 3 Find Write in simplest form.

20. Five Minute Check 5 Evaluate the expression abc if a =, b =, and c = –. __ 1 4 3 7 2 9 A.– B.– C. D. ___ 1 21 ___ 1 42 ___ 1 42 ___ 1 28

21. A coin is tossed and a number cube is rolled. What is the probability of tossing heads and rolling an even number? Five Minute Check 6 A. B. C. D. __ 1 8 1 4 1 3 1 2