2. Lesson 32 Objective: Interpret and evaluate numerical expressions including the language of scaling and fraction division By the end of the lesson, you will be able to… 5th Grade Module 4– Lesson 32 K. Clauson

3. Order of Operations O 12 ÷ 3 + 1 O 12 ÷ (3 + 1) O 20 – 4 ÷ 2 O (20 – 4) ÷ 2 O 24 ÷ 6 – 2 O 24 ÷ (6 – 2)

4. Divide Decimals by 1 tenth and 1 hundredth O 1 ÷ 0.1 O How many tenths are in 1? O 2? O 3? O 6? 10 20 30 60

5. Divide Decimals by 1 tenth and 1 hundredth O 10 ÷ 0.1 O How many tenths are in 10? O 20 ÷ 0.1 O 30? O 80? 100 200 300 800

6. Divide Decimals by 1 tenth and 1 hundredth O 43 ÷ 0.1 O How many tenths are in 43? O 43.5 ÷ 0.1 O 0.97 ÷ 0.1 O 0.97 ÷ 0.01 O 97 ÷ 0.1 O 970 ÷ 0.01 430 435 970 9700 970 97000

7. Divide Decimals 8 ÷ 2 = 4 4 40

8. Divide Decimals O 12 ÷ 3 O 1.2 ÷ 0.3 O 1.2 ÷ 0.03 O 12 ÷ 0.3 4 4 40

9. Divide Decimals

10. O Try these problems with your partner! O 5.76 ÷ 0.4 O 9.54 ÷ 0.03 O 98.4 ÷ 0.12 14.4 318 820

11. Application Problem Four baby socks can be made from 1/3 skein of yarn. How many baby socks can be made from a whole skein? Draw a number line to show your thinking.

12. Problem 1: Write word form expressions numerically a) twice the sum of 3/5 and 1 ½ O What does twice mean? O What does sum mean? O Don’t forget to put in parentheses where they belong! Concept Development

13. Problem 1: Write word form expressions numerically a) twice the sum of 3/5 and 1 ½ Concept Development ANSWER!

14. Problem 1: Write word form expressions numerically b) half the sum of 3/5 and 1 ½ O What does half mean? How could we represent that? O What does sum mean? O Don’t forget to put in parentheses where they are needed! O Work with a partner to write this expression in at least two different ways.

15. Problem 1: Write word form expressions numerically b) half the sum of 3/5 and 1 ½ ANSWERS!

16. Problem 1: Write word form expressions numerically c) the difference between ¾ and ½ divided by 3 O What does difference mean? O Don’t forget to put in parentheses where they are needed!

17. Problem 1: Write word form expressions numerically c) the difference between ¾ and ½ divided by 3 ANSWERS! Let’s work this one out!

18. Problem 1: Write word form expressions numerically c) the difference between ¾ and ½ divided by 3 ANSWERS!

19. Problem 2: Write numerical expressions in word form a) 2/5 x (1/2 – 0.4) O Let’s start with what is happening in the parentheses first! O What is happening outside of the parentheses? O Let’s put it all together now! the difference between one half and four tenths two-fifths times two-fifths times the difference between one half and four tenths

20. Problem 2: Write numerical expressions in word form b) (3/4 + 1.25) ÷ 1/3 O Let’s start with what is happening in the parentheses first! O What is happening outside of the parentheses? O Let’s put it all together now! add three fourths and one and twenty five hundredths divided by one third The sum of three fourths and one and twenty five hundredths divided by one third

21. Problem 2: Write numerical expressions in word form b) (3/4 + 1.25) ÷ 1/3 O Solve this problem! The sum of three fourths and one and twenty five hundredths divided by one third

22. Problem 2: Write numerical expressions in word form c) (2 ÷ 1/5) x 0.3 O Let’s start with what is happening in the parentheses first! O What is happening outside of the parentheses? O Let’s put it all together now! Two divided by one fifth Or what is the quotient of 2 and 1/5 Times three tenths The quotient of two and one fifth times three tenths

23. Problem 2: Write numerical expressions in word form c) (2 ÷ 1/5) x 0.3 O Solve this problem! The quotient of two and one fifth times three tenths

24. Get Ready to Finish the Problem Set on Your Own! Work on Problem Set 32. You will have 10 minutes to work! ----------------------------------------------------------------- --Fast finishers: - Math Center Activities- choice boards, extra Sprint challenge - CML packets/ worksheets - Problem Solving pages 5th Grade Module 4– Lesson 32 K. Clauson

25. 5th Grade Module 4- Lesson 32 K. Clauson Take 2 minutes to check your answers with your partner. Let’s share any insights you had while solving these problems.

26. 5th Grade Module 4– Lesson 32 K. Clauson EXIT TICKET LESSON 32