Read, write, and compare decimals to thousandths.

b.  Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

[divider] [/divider]

Students are able to… 

  • Use various representations of decimal place value and fractions to compare decimals and demonstrate understanding of their equivalence. For example, 0.3 = 3/10
  • Generate a list of equivalent decimals with different place values. For example, 0.3 = 0.30 and 0.30 = 0.300
  • Write decimals on a place value chart and compare them using the digits in each decimal place.
  • Explain their reasoning when comparing decimals using models, place value charts, pictures, and words.

 

Students are able to…because teachers:

  • Provide students with experiences using concrete manipulatives, such as base-ten blocks, to build models with equivalent decimals of different place values.
  • Scaffolds student tasks beginning concrete models focusing on building conceptual knowledge of sizes of decimals.
  • Prepares questions prior to lesson to ask students to compare numbers with like places (tenths with tenths, hundredths with hundredths, thousandths with thousandths) and to compare numbers with one decimal place to numbers with two decimal places as in 0.4 > 0.29
  • Facilitates discussion among students who are required to justify their reasoning when comparing decimal numbers.

[divider] [/divider]

Questions to ask students:

  • Compare the numbers 0.439 with 0.67 and justify why one is greater than the other.
    • Sample answer that indicates understanding: Sixty-seven hundredths is greater than four hundred thirty-nine thousandths because when I compare the tenths place, six tenths is greater to four tenths. Also, I know sixty-seven hundredths is equal to six hundred seventy thousandths so I can compare 0.439 with 0.670 and see that 0.670 is greater.
    • Sample answer that indicates an incomplete understanding or a misconception: 0.67 is greater than 0.439 because 67 is more than 439.
  • Use a quick picture of base ten blocks to compare 0.5 with 0.45
    • Sample answer that indicates understanding:


Five tenths is greater than four tenths and five hundredths.

  • Sample answer that indicates an incomplete understanding or a misconception:

Forty five is greater than 5

FSA Notes

Cognitive Complexity Level: Level 2: Basic Application of Skills & Concepts

Achievement Level Descriptors:

Level 2: reads and writes decimals using base-ten numerals and number names

Level 3: reads and writes decimals using expanded form; compares two decimals, using > , = , and < symbols to record the results of comparisons

Level 4: writes decimals in expanded form or base-ten numerals in multiple formats

Level 5: compares two decimals that are written in different formats

Assessment Limits: 

Items may contain decimals to the thousandths with the greatest place value to the millions

Context: Allowable

 

[divider] [/divider]

 

Additional Resources:

Additional in depth content knowledge:

http://www.katm.org/flipbooks/5%20FlipBook%20Final%20CCSS%202014.pdf#page=19

Video: Compare decimals through thousandths

https://www.khanacademy.org/math/arithmetic/arith-decimals/arith-review-comparing-decimals/v/comparing-decimals

and https://www.khanacademy.org/math/arithmetic/arith-decimals/arith-review-comparing-decimals/v/comparing-decimals-2-example

 

[divider] [/divider]

 

Sample Formative Assessment Tasks: (Click to make the task image larger)

 

[divider] [/divider]

Resources/Tasks to Support Your Child at Home:

  • Place Value Pirates: http://tinyurl.com/m92624t
  • Decimals of the Caribbean: http://tinyurl.com/oetynsq
  •  

    Compare the volumes of different liquid bottles in your house (water bottles, shampoo bottles, etc.) Ask your child to read the decimal correctly, and then use a strategy to compare the two decimals (ex: Water bottle is 8.02 oz, a shampoo bottle is 4.78 oz. Which has more liquid in it?)

  • Real World Situation: Jan and Isabella raced each other. Jan ran the distance in 9.85 s, and Isabella ran the distance in 9.6 Who had the winning time?