BENCHMARK MA.8.A.6.1. Reporting Category


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1 Grade MA..A.. Reporting Category BENCHMARK MA..A.. Number and Operations Standard Supporting Idea Number and Operations Benchmark MA..A.. Use exponents and scientific notation to write large and small numbers and vice versa and to solve problems. Item Type Benchmark Clarification Content Limits Stimulus Attributes Prior Knowledge At Grade, this benchmark will be assessed using MC and GR items. Students will represent or solve problems using exponents and scientific notation. Items may provide expressions of rational numbers in exponential notation, including negative exponents, and/or numerical or algebraic expressions that contain exponential notation. Rational numbers presented as decimals must be terminating decimals. Negative exponents may be used in standard scientific notation only. Fractions represented in standard scientific notation should be greater than onebillionth. Standard scientific notation of whole numbers and decimals is limited to hundred billions through hundredbillionths. Items should be set in realworld or mathematical context. Graphics should be used in some of these items, as appropriate. Items may require the student to apply mathematical knowledge described in the Standards from lower grades. This benchmark requires prerequisite knowledge from MA..A.., MA..A.., and MA..A... DRAFT FCAT Mathematics Test Item Specifications, Grades Florida Department of Education
2 Grade MA..A.. Sample Item MC MAAM By studying lunar samples, scientists have learned the Moon is approximately,,, years old. What is this number expressed in scientific notation? A.. B. C.. D. Science Sample Item GR MAAG In one week a small library checked out. books. This is the total number of books in the library. How many books does the library have all together? / / / / Sample Response Mathematics DRAFT FCAT Mathematics Test Item Specifications, Grades Florida Department of Education
3 Grade MA..A.. Reporting Category BENCHMARK MA..A.. Number and Operations Standard Supporting Idea Number and Operations Benchmark MA..A.. Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multistep and real world problems. Item Type Benchmark Clarification Content Limits Stimulus Attributes Also assesses MA..A.. Simplify real number expressions using the laws of exponents. At Grade, this benchmark will be assessed using MC and GR items. Students will perform operations on real numbers using multistep and realworld problems. The student understands real number expressions and the law of exponents. Items will include the effects of the four basic operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers), and the use of properties of real numbers to solve problems (commutative, associative, distributive, identity, equality, and the inverse relationship of rational numbers). Items may involve simplifying expressions using integers and exponents. Items may include performing operations involving fractions, decimals, irrational numbers, numbers expressed as radicals, percents, absolute values, or scientific notation. Radicals used in items must be square roots with a radicand less than or equal to, or cube roots of perfect cubes. All items should be set in a realworld or mathematical context. Items may require answers to be rounded to the nearest percent, whole number, dollar, cent, etc., as appropriate. DRAFT FCAT Mathematics Test Item Specifications, Grades Florida Department of Education
4 Grade MA..A.. Sample Item MC MAAMI A space shuttle can travel at a speed of meters in hour. At this speed, how far will it travel in hours? A.. meters B.. meters C.. meters D.. meters Science Sample Item GR The daily lunch special at Bertan s favorite restaurant is $., not including tax. The final cost of the lunch special with tax is $.. What is the tax rate, to the nearest tenth of a percent, charged for the lunch special?. / / / / Sample Response. Social Studies/Consumerism DRAFT FCAT Mathematics Test Item Specifications, Grades Florida Department of Education
5 Grade MA..A.. Reporting Category BENCHMARK MA..A.. Number and Operations Standard Big Idea Develop an understanding of operations on all rational numbers and solving linear equations. Benchmark MA..A.. Add, subtract, multiply, and divide integers, fractions, and terminating decimals, and perform exponential operations with rational bases and whole number exponents including solving problems in everyday contexts. Item Type Benchmark Clarification Content Limits Stimulus Attributes Response Attributes Prior Knowledge At Grade, this benchmark will be assessed using MC and GR items. Students will solve realworld problems or mathematical constructs, including equations, expressions, or inequalities. Items may include up to three operations and up to five procedural steps. Items may include at least one negative integer, fraction, or terminating decimal. Items may include wholenumber exponents less than or equal to. Items will not include raising an exponential expression to a power or using the laws of exponents (e.g., ( ) ). Items will not include scientific notation. Items should be set in a realworld or mathematical context. Griddedresponse items should not include the use of fractions that convert to nonterminating decimals (e.g, or ). Negative grids will be used in this benchmark. Items may require the student to apply mathematical knowledge described in the Standards from lower grades. This benchmark requires prerequisite knowledge from MA..A... DRAFT FCAT Mathematics Test Item Specifications, Grades Florida Department of Education
6 Grade MA..A.. Sample Item MC On a cold day, Rupert measured the outside temperature and discovered it was ºF. Each hour after that, Rupert measured the outside temperature and discovered it was ºF colder than the previous hour s temperature. At this rate, how many hours would it take for the temperature to reach ºF? A. hours B. hours C. hours D. hours Science Sample Item GR What is the value of the expression? / / / / Sample Response Mathematics DRAFT FCAT Mathematics Test Item Specifications, Grades Florida Department of Education
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