Connecting Benchmarks/Horizontal Alignment
Terms from the K-12 Glossary
Purpose and Instructional Strategies
The purpose of this benchmark is for students to read numbers appropriately and to write numbers in all forms. Utilizing place value, students are expected to understand the value of tenths, hundredths, and thousandths, extending from their work to read and write whole numbers in any form in grade 4 (MA.4.NSO.1.2
). Writing numbers in expanded form can help students see the relationship between decimals and fractions (MTR.5.1
). Translating from written form to symbolic form builds the foundation for moving from written to algebraic form in grade 6 (MA.6.AR.1.1
- Representing numbers in flexible ways will help students name, order, compare and operate with decimals (MTR.3.1).
- During instruction, teachers should relate all three forms using place value charts and base ten manipulatives (e.g., blocks) (MTR.3.1, MTR.4.1, MTR.5.1).
Common Misconceptions or Errors
- Students may incorrectly read and write from expanded form if one of the digits is 0, like in the number 67.03 as used in the benchmark example. A common mistake that students make is to name the number as 67.3 because they do not see that 3 is the value of hundredths.
Strategies to Support Tiered Instruction
- Instruction includes the use of place value understanding, models such as place value disks and decimal fractions to read and write multi-digit numbers with decimals to the thousandths using standard form, word form and expanded form when one of the digits in the decimal place values is 0.
- For example, write 2.054 in standard form, word form and expanded form using a place value chart.
For example, the teacher uses decimal fractions and a place value chart to help students read 2.054, modeling how to write the decimal portion of the number as a fraction,
- and explaining that doing so helps us to read the decimal correctly. Also, the teacher explains that the word “and” is used for a portion of a number, decimal or fraction. Next, the teacher and students write 2.054 as 2 and read the number as “two and fifty-four thousandths.”
- For example, write 6.03 in standard form, word form and expanded form using a
place value chart.
- For example, the teacher uses decimal fractions and a place value chart to help students read 6.03, while modeling how to write the decimal portion of the number as a fraction, and explaining that doing so helps us to read the decimal
correctly. Also, the teacher explains that the word “and” is used for a portion of a number, decimal or fraction. Next, write 6.03 as 6 and read the number as “six
and three hundredths.”
Instructional Task 1
Use the number cards below to write a number in standard, word and expanded forms. You can use the cards in any order to make your number, but it must have a digit other than zero in the thousandths place.
Instructional Item 1
Which shows the number below in word form?
- a. Seventy − two and fifty − nine thousands
- b. Seven hundred two and fifty − nine hundredths
- c. Seven hundred two and five hundred nine thousandths
- d. Seventy − two and five hundred nine thousandths
Instructional Item 2
Write eight thousand
and 2 hundredths
in standard form.
*The strategies, tasks and items included in the B1G-M are examples and should not be considered comprehensive.