Virginia SOL 4.NS.1.c
The Standard
Apply patterns within the base 10 system to determine and communicate, orally and in written form, the place and value of each digit in a nine-digit whole number (e.g., in 568,165,724, the 8 represents 8 millions and its value is 8,000,000).
Virginia Standards of Learning for Mathematics · The student will use place value understanding to read, write, and identify the place and value of each digit in a nine-digit whole number.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify each digit's place and write its full value in numbers or words. They use the base ten pattern to explain that a digit's value changes by a factor of ten between adjacent places.
What Mastery Looks Like
- Students correctly state and write the place and value of any digit in a number through hundred millions. They explain that each place to the left has ten times the value of the place to its right.
Common Misconceptions
- Students may name the place correctly but give the digit instead of its value, such as writing 8 instead of 8,000,000. They may ignore zero placeholders, count places from the left, or confuse millions with hundred millions.
How to Assess It
- Give students 407,326,815. Ask them to name the place and value of the 7 and 3, then explain how moving a digit one place left changes its value.
Lesson moves
Ways to Teach It
Build nine-digit numbers with digit cards on a labeled place-value mat, then have partners name each digit's place and value.
Display 568,165,724 and ask, "How does the value of the 8 compare with the value of the 5?" Explain in writing.
Play Place Value Match by pairing cards showing a digit's location, place name, and value within the same nine-digit number.
Use a state population table; students choose one population and explain the place and value of three digits.
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