2. Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Add and Subtract Like Fractions Example 1:Add Like Fractions Example 2:Subtract Like Fractions Example 3:Add and Subtract Unlike Fractions Example 4:Add and Subtract Unlike Fractions Example 5:Add and Subtract Mixed Numbers Example 6:Add and Subtract Mixed Numbers Example 7:Real-World Example Five-Minute Check

3. Main Idea/Vocabulary Add and subtract rational numbers. like fractions unlike fractions

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 Add Like Fractions Answer: Simplify. ←Add the numerators. ←The denominators are the same.

7. Example 1 CYP A. B. C.1 D.

8. Example 2 Find. Write in simplest form. Subtract Like Fractions Rename as or. Subtract the numerators by adding the opposite of 9.

9. Example 2 Answer: Subtract Like Fractions

10. Example 2 CYP Find. Write in simplest form. A. B. C. D.

11. Example 3 Add and Subtract Unlike Fractions Find. Write in simplest form. Add the numerators. The LCD is 9 ● 5 or 45. Rename using the LCD. Simplify.

12. Example 3 Answer: Add and Subtract Unlike Fractions

13. Example 3 CYP Find. Write in simplest form. A. B. C. D.

14. Example 4 Find. Write in simplest form. Add and Subtract Unlike Fractions The LCD is 8 ● 3 or 24. Rename using the LCD. To subtract –, add. __ 5 6 5 6

15. Example 4 Add the numerators. Simplify. Add and Subtract Unlike Fractions Answer:

16. Example 4 CYP Find. Write in simplest form. A. B. C. D.

17. Example 5 Add and Subtract Mixed Numbers Find. Write in simplest form. Simplify. Add the numerators. Add the whole numbers and fractions separately. Answer:

18. Example 5 CYP A. B. C. D. Find. Write in simplest form.

19. Example 6 Add and Subtract Mixed Numbers Find. Write in simplest form. Write as improper fractions. Subtract the numerators. Simplify.

20. Example 6 Add and Subtract Mixed Numbers Answer:

21. Example 6 CYP A. B. C. D. Find. Write in simplest form.

22. Example 7 HEIGHTS In the United States, the average height of a 9-year-old girl is 53 inches. The average height of a 16-year-old girl is 64 inches. How much does an average girl grow from age 9 to age 16? __ 4 5 1 5

23. Example 7 Answer: An average girl grows 10 inches from age 9 to 16. __ 2 5 Subtract the whole numbers and fractions separately.

24. Example 7 CYP A. B. C. D. SNOW A cubic foot of ice weighs about pounds. A cubic foot of heavy, wet snow weighs about pounds. How much more does a cubic foot of ice weigh than a cubic foot of snow?

25. Five Minute Check 1 Find. Write in simplest form. A. B. C. D.

26. Five Minute Check 2 Find. Write in simplest form. A. B. C. D.

27. Five Minute Check 3 Find. Write in simplest form. A. B. C. D.

28. Five Minute Check 4 Find. Write in simplest form. A. B. C. D.

29. Five Minute Check 5 A. B. C. D. Find. Write in simplest form.

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

31. Five Minute Check 6 Two eighths of a class wore green shirts and of the class wore white shirts. What fraction of the class wore either a green or white shirt? A. B. C. D.