Virginia SOL 6.NS.1.b
The Standard
Represent and determine equivalencies among decimals (through the thousandths place) and percents incorporating the use of number lines, and concrete and pictorial models.*
Virginia Standards of Learning for Mathematics · The student will reason and use multiple strategies to express equivalency, compare, and order numbers written as fractions, mixed numbers, decimals, and percents.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students represent decimals through thousandths and connect them to equivalent percents. They use number lines, grids, and place-value models to show why the values are equal.
What Mastery Looks Like
- Students can match decimals through thousandths with equivalent percents and justify each match using place value. They can represent the same value accurately on number lines, grids, or base-ten models.
Common Misconceptions
- Students may say 0.6 equals 6% instead of 60%, or 0.06 equals 60%. They may also misplace values on number lines or treat 0.375% as equal to 0.375.
How to Assess It
- Give an exit ticket: Represent 0.375 on a number line, write it as a percent, and explain how the two values are equivalent.
Lesson moves
Ways to Teach It
Give students thousandths grids to shade values such as 0.425, then label each model with its equivalent percent.
Ask students to explain in writing why 0.7 and 70% name the same amount, using a number line or grid.
Play a matching game with decimal cards, percent cards, number-line cards, and shaded-model cards representing equivalent values.
Use store discount signs to connect 25%, 12.5%, and 7.5% with decimal forms used in calculator calculations.
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Printable 6.NS.1.b Worksheet
A ready-to-print activity worksheet aligned to 6.NS.1.b, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 4.NS.4.c
Read and write decimals expressed through thousandths, using concrete, pictorial, and numerical representations.
- 4.NS.4.b
Represent and identify decimals expressed through thousandths, using concrete, pictorial, and numerical representations.
- 6.NS.1.c
Represent and determine equivalencies among fractions (proper or improper) and mixed numbers that have denominators that are 12 or less or factors of 100 and pe...
- 6.NS.1.d
Represent and determine equivalencies among decimals, percents, fractions (proper or improper), and mixed numbers that have denominators that are 12 or less or ...
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