Benchmark Instructional Guide
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 and have flexibility with the different forms. This benchmark builds on the work in grade 3 of reading and writing numbers in multiple ways to 10,000 (MA.3.NSO.1.1)
- Students should also have opportunities to explore the idea that 285 could also be 28 tens plus 5 ones or 1 hundred, 18 tens and 5 ones.
- Decomposing numbers flexibly helps students reason through multiplication and division strategies. Multiple representations of the number (MTR.2.1) allow for opportunities to apply the commutative and associative properties. This will allow students to explain their thinking and show their work using place-value strategies and algorithms, in addition to verifying that their answer is reasonable.
Common Misconceptions or Errors
- Students may have misconceptions when translating word form to standard form. Numbers like one thousand often do not cause a problem; however, a number like three thousand four can cause problems for students. Many students will understand the 3,000 and the 4 but then instead of placing the 4 in the ones place, students will write the numbers as they hear them, 30,004, not understanding that this number represents more than 3,004.
Strategies to Support Tiered Instruction
- Instruction includes opportunities to model and write numbers with a zero in various place values. A place value chart and models such as base-ten blocks or place value disks can be used to help students understand that when the digit in a multi-digit whole number is 0, it represents a 0 of that place value. Extend this understanding to include writing numbers in word and expanded form.
- For example, in the number 40,607 there are 0 thousands and 0 tens.
- For example, in the number 1,002, there are 0 hundreds and 0 tens.
Instructional Task 1 (MTR.3.1)
Write each number in standard form and in expanded form.
- a. Eight hundred two thousand five hundred fifty
- b. Twenty thousand three
- c. One thousand four hundred fifty
- d. Seven hundred nineteen thousand two hundred forty - eight
- e. Three thousand eighty - one
Instructional Item 1
Select all the ways to rename the number 2,340.
- a. 234 tens
- b. 2,340 ones
- c. 234 thousands
- d. 2 hundreds and 34 ones
- e. 2 thousands and 34 tens
- f. 2 thousands and 34 ones
- g. 2 thousands and 34 hundreds
*The strategies, tasks and items included in the B1G-M are examples and should not be considered comprehensive.