2. Turn in Your CHOP CHOP Corrections! Make sure you have the proper heading Make sure you have titled your paper- Chop Chop Corrections Make sure you staple your corrections ON TOP of your Chop Chop Quiz

3. Student Progress Chart Lesson Reflection 3-10

4. Math Learning Goal Students will understand decimals.

5. Students will understand decimals by being able to do the following: Learn to write, compare, and order decimals using place value and number lines (3-1) Learn to estimate decimal sums, differences, products, and quotients (3-2) Learn to add and subtract decimals (3-3) Learn to multiply and divide decimals by powers of ten and to convert metric measurements (3-4) Learn to write large numbers in scientific notation (3-5) Learn to multiply decimals by whole numbers and by decimals (3-6) Learn to divide decimals by whole numbers (3-7) Learn to divide whole numbers and decimals by decimals (3-8) Learn to solve problems by interpreting the quotient (3-9) Learn to solve equations involving decimals (3-10)

6. Today’s Learning Goal Assignment Learn to solve equations involving decimals. Course 1 3-10 Solving Decimal Equations

7. 6 th Grade Math HW Page 136 #9-20 all Course 1 3-10 Solving Decimal Equations

8. 3-10 Solving Decimal Equations Course 1 Warm up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

9. Warm Up Solve. 1. x – 3 = 11 2. 18 = x + 4 3. = 42 4. 2x = 52 5. x – 82 = 172 x = 14 Course 1 3-10 Solving Decimal Equations x 7 x = 14 x = 294 x = 26 x = 254

10. Problem of the Day Find the missing entries in the magic square. 11.25 is the sum of every row, column, and diagonal. 3 Course 1 3-10 Solving Decimal Equations 3.755.25 6 6.75 1.5 2.25 0.754.5

11. Today’s Learning Goal Assignment Learn to solve equations involving decimals. Course 1 3-10 Solving Decimal Equations

12. Course 1 3-10 Solving Decimal Equations You can solve equations with decimals using inverse operations just as you solved equations with whole numbers. $45.20 + m = $69.95 –$45.20 m = $24.75

13. Course 1 3-10 Solving Decimal Equations Use inverse operations to get the variable alone on one side of the equation. Remember!

14. Course 1 3-10 Solving Decimal Equations Additional Example 1A: Solving One-Step Equations with Decimals Solve the equation. Check your answer. A. k – 6.2 = 9.5 k – 6.2 = 9.5 6.2 is subtracted from k. Add 6.2 to both sides to undo the subtraction. + 6.2 k = 15.7 Check k – 6.2 = 9.5 Substitute 15.7 for k in the equation. 15.7 – 6.2 = 9.5 ? 9.5 = 9.5 ? 15.7 is the solution.

15. Course 1 3-10 Solving Decimal Equations Additional Example 1B: Solving One-Step Equations with Decimals Solve the equation. Check your answer. B. 6k = 7.2 6k = 7.2 k is multiplied by 6. Divide both sides by 6 to undo the multiplication. k = 1.2 Check 6k = 7.2 Substitute 1.2 for k in the equation. 6(1.2) = 7.2 ? 7.2 = 7.2 ? 1.2 is the solution. 66 6k = 7.2

16. Course 1 3-10 Solving Decimal Equations Additional Example 1C: Solving One-Step Equations with Decimals Solve the equation. Check your answer. C. = 0.6 = 0.6 m is divided by 7. Multiply both sides by 7 to undo the division. m = 4.2 Check Substitute 4.2 for m in the equation. 0.6 = 0.6 ? 4.2 is the solution. · 7 m 7 m 7 = 0.6 m 7 4.2 7 ?

17. Course 1 3-10 Solving Decimal Equations Try This: Example 1A Solve the equation. Check your answer. A. n – 3.7 = 8.6 n – 3.7 = 8.6 3.7 is subtracted from n. Add 3.7 to both sides to undo the subtraction. + 3.7 n = 12.3 Check n – 3.7 = 8.6 Substitute 12.3 for n in the equation. 12.3 – 3.7 = 8.6 ? 8.6 = 8.6 ? 12.3 is the solution.

18. Course 1 3-10 Solving Decimal Equations Try This: Example 1B Solve the equation. Check your answer. B. 7h = 8.4 7h = 8.4 h is multiplied by 7. Divide both sides by 7 to undo the multiplication. h = 1.2 Check 7h = 8.4 Substitute 1.2 for h in the equation. 7(1.2) = 8.4 ? 8.4 = 8.4 ? 1.2 is the solution. 77 7h = 8.4

19. Course 1 3-10 Solving Decimal Equations Try This: Example 1C Solve the equation. Check your answer. C. = 0.3 = 0.3 w is divided by 9. Multiply both sides by 9 to undo the division. w = 2.7 Check Substitute 2.7 for w in the equation. 0.3 = 0.3 ? 2.7 is the solution. · 9 w 9 w 9 = 0.3 w 9 2.7 9 ?

20. Course 1 3-10 Solving Decimal Equations The area of a rectangle is its length times its width. A = lw Remember! w l

21. Course 1 3-10 Solving Decimal Equations Additional Example 2A: Measurement Application Solve the equation. Check your answer. A. The area of Emily’s floor is 33.75 m 2. If its length is 4.5 meters, what is its width? 33.75 = 4.5w Write the equation for the problem. Let w be the width of the room. Divide both sides by 4.5 to undo the multiplication. 7.5 = w 4.5 33.75 = 4.5 · w area = length · width 33.75 = 4.5w The width of Emily’s floor is 7.5 meters.

22. Course 1 3-10 Solving Decimal Equations Additional Example 2B: Measurement Application Solve the equation. Check your answer. B. If carpet costs $23 per square meter, what is the total cost to carpet the floor? Let C be the total cost. Write the equation for the problem. Multiply.C = 776.25 C = 33.75 · 23 total cost = area · cost of carpet per square meter The cost of carpeting the floor is $776.25.

23. Course 1 3-10 Solving Decimal Equations Try This: Example 2A Solve the equation. Check your answer. A. The area of Yvonne’s bedroom is 181.25 ft 2. If its length is 12.5 feet, what is its width? 181.25 = 12.5w Write the equation for the problem. Let w be the width of the room. Divide both sides by 12.5 to undo the multiplication. 14.5 = w 12.5 181.25 = 12.5 · w area = length · width 181.25 = 12.5w The width of Yvonne’s bedroom is 14.5 feet.

24. Course 1 3-10 Solving Decimal Equations Try This: Example 2B Solve the equation. Check your answer. B. If carpet costs $4 per square foot, what is the total cost to carpet the bedroom? Let C be the total cost. Write the equation for the problem. Multiply.C = 725 C = 181.25 · 4 total cost = area · cost of carpet per square foot The cost of carpeting the bedroom is $725.

25. Lesson Quiz Solve each equation. Check your answer. 1. x – 3.9 = 14.2 2. = 8.3 3. x – 4.9 = 16.2 4. 7x = 47.6 5. The area of the floor in Devon’s room is 35.7 m 2. If the width is 4.2 m, what is the length of the bedroom? Insert Lesson Title Here Course 1 3-10 Solving Decimal Equations x 4 x = 18.1 x = 33.2 x = 21.1 x = 6.8 8.5 m