2. Page 184 #1-5 ANSWERS

3. Student Progress Learning Chart Lesson Reflection for Chapter 4 Section 8

4. Math Learning Goal Students will understand number theory and fractions.

5. Students will understand number theory and fractions by being able to do the following: Learn to use divisibility rules (4-1) Learn to write prime factorizations of composite numbers (4-2) Learn to find the greatest common factor (GCF) of a set of numbers (4-3) Learn to convert between decimals and fractions (4-4) Learn to write equivalent fractions (4-5) Learn to use pictures and number lines to compare and order fractions (4-6) Learn to convert between mixed numbers and improper fractions (4-7) Learn to add and subtract fractions with like denominators (4-8)

6. Today’s Learning Goal Assignment Learn to add and subtract fractions with like denominators. Course 1 4-8 Adding and Subtracting with Like Denominators

7. 6 th Grade Math HW Page 190 #1-9 Course 1 4-8 Adding and Subtracting with Like Denominators

8. 4-8 Adding and Subtracting with Like Denominators Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

9. Course 1 4-8 Adding and Subtracting with Like Denominators Warm Up Write each mixed number as an improper fraction. 1. 62. 2 3. 34. 8 5. 96. 4 1 3 __ 1 5 1 2 8 11 __ 2 7 4 5 19 3 __ 11 5 __ 23 7 __ 17 2 __ 49 5 __ 52 11 __

10. Problem of the Day Marge has six coins that total $1.15. She cannot make change for $1.00, a half- dollar, a quarter, a dime, or a nickel. What coins does she have? half dollar, quarter, 4 dimes Course 1 4-8 Adding and Subtracting with Like Denominators

11. Today’s Learning Goal Assignment Learn to add and subtract fractions with like denominators. Course 1 4-8 Adding and Subtracting with Like Denominators

12. Additional Example 1: Application 1 4 __ 1 4 1 2 1 2 1 4 2 4 + 1 4 1 4 += = After 2 hours inch of snow fell Add the numerators. Keep the same denominator Write your answer in simplest terms. Snow was falling at a rate of inch per hour. How much snow fell after two hours? Write your answer in simplest form. += Course 1 4-8 Adding and Subtracting with Like Denominators

13. Try This: Example 1 1 8 __ 1 8 1 4 1 8 1 8 2 8 + 1 8 1 8 += = After 2 hours inch of rain fell. Add the numerators. Keep the same denominator. Write your answer in simplest terms. Rain was falling at a rate of inch per hour. How much rain fell after two hours? Write your answer in simplest form. += Course 1 4-8 Adding and Subtracting with Like Denominators

14. Additional Example 2A: Subtracting Like Fractions and Mixed Numbers Subtract. Write the answer in simplest form. A. 1 – 5 5 __ 3 5 3 5 2 5 = – To get a common denominator, rewrite 1 as a fraction with a denominator of 5. Subtract the numerators. Keep the same denominator. = ― Course 1 4-8 Adding and Subtracting with Like Denominators

15. Additional Example 2B: Subtracting Like Fractions and Mixed Numbers Subtract. Write the answer in simplest form. B. 5 – 2 1 12 __ 4 12 __ – Subtract the fractions. Then subtract the whole numbers. = - 5 12 __ 5 12 __ 5 2 1 12 __ 3 3 1 3 Write your answer in simplest form. Course 1 4-8 Adding and Subtracting with Like Denominators

16. Try This: Example 2A Subtract. Write the answer in simplest form. A. 1 – 6 6 __ 2 6 2 6 4 6 = – To get a common denominator, rewrite 1 as a fraction with a denominator of 6. Subtract the numerators. Keep the same denominator. = – Course 1 4-8 Adding and Subtracting with Like Denominators

17. Try This: Example 2B 4 12 __ 3 12 __ – Subtract the fractions. Then subtract the whole numbers. = - 7 12 __ 7 12 __ 4 2 4 12 __ 2 2 1 4 Write your answer in simplest form. Subtract. Write the answer in simplest form. B. 4 – 2 Course 1 4-8 Adding and Subtracting with Like Denominators

18. Evaluate the expression for x =. Write each answer in simplest form. 5 9 __ A. 2 9 __ 5 9 5 9 – – – x x 2 9 3 9 = 1 3 = Write the expression. Substitute for x and subtract the numerators. Keep the same denominator. Write your answer in simplest form. 2 9 __ Course 1 4-8 Adding and Subtracting with Like Denominators Additional Example 3A: Evaluating Expressions with Fractions

19. Evaluate the expression for x =. Write each answer in simplest form. 4 9 __ B. 2 9 __ 4 9 4 9 + + + x x 2 9 6 9 = 2 3 = Write the expression. Substitute for x. Add the fractions. Then add the whole numbers. Write your answer in simplest form. 2 9 __ 2 2 2 2 2, or 8 3 __ Course 1 4-8 Adding and Subtracting with Like Denominators Additional Example 3B: Evaluating Expressions with Fractions

20. Evaluate the expression for x =. Write each answer in simplest form. 8 9 __ C. 2 9 __ 8 9 8 9 + + + x x 2 9 10 9 __ = Write the expression. Substitute for x and subtract the numerators. Keep the same denominator. 2 9 __ 1, or 1 9 __ Course 1 4-8 Adding and Subtracting with Like Denominators Additional Example 3C: Evaluating Expressions with Fractions

21. Try This: Example 3A Evaluate the expression for x =. Write each answer in simplest form. 4 6 __ A. 2 6 __ 4 6 4 6 – – – x x 2 6 2 6 = 1 3 = Write the expression. Substitute for x and subtract the numerators. Keep the same denominator. Write your answer in simplest form. 2 6 __ Course 1 4-8 Adding and Subtracting with Like Denominators

22. Try This: Example 3B Evaluate the expression for x =. Write each answer in simplest form. 1 6 __ B. 2 6 __ 1 6 1 6 + + + x x 2 6 3 6 = 1 2 = Write the expression. Substitute for x and subtract the numerators. Keep the same denominator. Write your answer in simplest form. 2 6 __ 3 3 3 3 3 Course 1 4-8 Adding and Subtracting with Like Denominators

23. Try This: Example 3C Evaluate the expression for x =. Write each answer in simplest form. 5 6 __ C. 2 6 __ 5 6 5 6 + + + x x 2 6 7 6 = Write the expression. Substitute for x and subtract the numerators. Keep the same denominator. 2 6 __ 1, or 1 6 __ Course 1 4-8 Adding and Subtracting with Like Denominators

24. Lesson Quiz Add or subtract. Write each answer in simplest form. 1. 1 – 2. 1 – 4. Evaluate – x for x =. 9 11 __ 3 10 __ 8 9 1 10 __ 6 21 __ 16 21 ___ 3 4 __ 2 11 __ 1 9 2 5 10 21 __ 6 3 miles 3. 2 + 4 5. Weston walks of a mile every day. How far will he have walked in 4 days? Course 1 4-8 Adding and Subtracting with Like Denominators