Florida B.E.S.T. MA.8.NSO.1.7
The Standard
Solve multi-step mathematical and real-world problems involving the order of operations with rational numbers including exponents and radicals.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students evaluate and solve multi-step expressions and situations using fractions, decimals, negative numbers, powers, and roots. They choose the correct sequence of operations and explain how each step leads to the answer.
What Mastery Looks Like
- Students show organized steps and correctly handle fractions, decimals, negative signs, powers, roots, and grouping symbols. They check whether an answer is reasonable and include units when the problem has a context.
Common Misconceptions
- Students may work strictly from left to right instead of using grouping symbols and operation priority. They often confuse (-3)² with -3² or treat √25 as both 5 and -5. Some distribute a square root across addition, claiming √(9 + 16) equals √9 + √16.
How to Assess It
- Give this exit ticket: Evaluate -3² + 2(√49 - 5/2). Show each step and identify the operation completed first.
Lesson moves
Ways to Teach It
Give groups number, operation, exponent, radical, and grouping cards to build an expression, trade it with another group, and solve it.
Ask students to compare (-4)² and -4², then write a two-sentence explanation of why the answers differ.
Set up an error-hunt relay with worked expressions containing one order-of-operations mistake for teams to find and correct.
Have students find the side length and fencing cost for a square garden with area 72.25 square meters and fencing at $8.50 per meter.
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Printable MA.8.NSO.1.7 Worksheet
A ready-to-print activity worksheet aligned to MA.8.NSO.1.7, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- MA.912.NSO.1.4
Apply previous understanding of operations with rational numbers to add, subtract, multiply and divide numerical radicals.
- MA.912.AR.1.10
Solve mathematical and real-world problems involving addition, subtraction, multiplication or division of rational algebraic expressions.
- MA.7.NSO.2.1
Solve mathematical problems using multi-step order of operations with rational numbers including grouping symbols, whole-number exponents and absolute value.
- MA.8.NSO.1
Solve problems involving rational numbers, including numbers in scientific notation, and extend the understanding of rational numbers to irrational numbers.
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