Florida B.E.S.T. MA.8.NSO.1.2
The Standard
Plot, order and compare rational and irrational numbers, represented in various forms.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students locate fractions, decimals, square roots, and other irrational values on a number line. They estimate values when needed, then compare and arrange them from least to greatest.
What Mastery Looks Like
- Students accurately place fractions, decimals, roots, and constants such as π on a number line. They justify comparisons using decimal approximations, nearby perfect squares, or other benchmarks, including when values are negative.
Common Misconceptions
- Students may call every nonterminating decimal irrational, overlooking repeating decimals. They may order negative numbers by absolute value or compare unlike forms without estimating them first. They may also mistake √20 for 10 or another whole number.
How to Assess It
- Exit ticket: Plot and order −√5, −2.1, 7/3, √6, and π. Circle the irrational numbers and explain the placement of √6.
Lesson moves
Ways to Teach It
Give groups a floor number line and cards showing −3/2, −√2, 0.6, √5, and π, then have students place and defend each card.
Ask students to compare √10 and 3.2 without a calculator, then write an explanation using nearby perfect squares.
Run a card sort matching fractions, repeating decimals, square roots, and number line locations, then have partners check each match.
Students calculate a 5-foot by 7-foot garden's diagonal as √74 feet and decide whether an 8.5-foot board reaches across it.
Free download
Printable MA.8.NSO.1.2 Worksheet
A ready-to-print activity worksheet aligned to MA.8.NSO.1.2, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- MA.3.FR.2.1
Plot, order and compare fractional numbers with the same numerator or the same denominator.
- MA.1.NSO.1.4
Plot, order and compare whole numbers up to 100.
- MA.8.NSO.1
Solve problems involving rational numbers, including numbers in scientific notation, and extend the understanding of rational numbers to irrational numbers.
- MA.6.NSO.1.1
Extend previous understanding of numbers to define rational numbers. Plot, order and compare rational numbers.
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.