Grade 5 Maths L 3.2 - Extend Place Value to Decimals.pptx

Grade 5 Maths L 3.2 - Extend Place Value to Decimals.pptx

1. Extend Place Value to Decimals

2. Be Curious What do you notice? What do you wonder?

3. Be Curious Mindset What helps you feel calm when you feel angry? What do you notice? What do you wonder?

4. 1. Pose the Problem Keagan thinks that the value of each digit 1 is the same. How can you help Keagan make sense of this number?

5. 2. Develop the Math We know that a digit in its place represents of what it represents in the place to its left.  

6. 2. Develop the Math We can use a representation to show that this relationship is true for digits to the right of the decimal point. What does the cube represent?

7. 2. Develop the Math We can use a representation to show that this relationship is true for digits to the right of the decimal point. What does the cube represent? Reveal The cube represents 1.

8. 2. Develop the Math How can you represent 1 tenth?

9. 2. Develop the Math We can partition the cube into 10 equal parts and shade 1 of those parts.

10. 2. Develop the Math We can partition the cube into 10 equal parts and shade 1 of those parts. Think About It How does the representation show that 0.1 is of 1?  

11. 2. Develop the Math How can you represent 1 hundredth?

12. 2. Develop the Math We can partition each tenth into 10 equal parts and shade 1 of those parts. How can you represent the next place-value position?

13. 2. Develop the Math We can partition each tenth into 10 equal parts and shade 1 of those parts. How can you represent the next place-value position? Think About It How does the representation show that 0.01 is of 0.1?  

14. 2. Develop the Math We can partition each hundredth into 10 equal parts and shade 1 of those parts. Thousandths are of the whole. 0.001 is of 0.01.  

15. 2. Develop the Math We can partition each hundredth into 10 equal parts and shade 1 of those parts. Thousandths are of the whole. 0.001 is of 0.01.   Patterns How is the name of the position related to the fractional part of the whole?

16. 2. Develop the Math How can you use these representations to show that a digit in one place represents 10 times what it represents in the place to its right?

17. 2. Develop the Math Each place has a value that is ten times the value of the place to its right.

18. 2. Develop the Math How can you relate the value of a digit in the tenths place to the value of a digit in the ones place?

19. 2. Develop the Math How can you relate the value of a digit in the tenths place to the value of a digit in the ones place? Reveal We can multiply the value of the digit in the tenths place by 10. 10 × 0.1 = 1

20. 3. Bring It Together The value of a digit depends on its position in the number. A digit represents the value of what it represents in the place to its left. A digit represents 10 times as much as it represents in the place to its right.  

21. 3. Bring It Together Work Together What are two different ways to describe the relationship between 0.8 and 0.08? Workspace

22. 3. Bring It Together Work Together What are two different ways to describe the relationship between 0.8 and 0.08? Reveal Sample answer: 0.8 is ten times 0.08; 0.08 is of 0.8.   Workspace

23. Learning Targets I can extend the place value relationship to decimal numbers. I can explain the relationship of place values in decimal numbers.