Math FCAT 2.0 Review: Big Idea 2

1. Math FCAT 2.0 Review:Big Idea 2 5th Grade

2. MA.5.A.2.2 Add and subtract fractions and decimals fluently, and verify the reasonableness of results, including in problem situations. Benchmark Clarifications • Students will add and subtract fractions (like/unlike denominators) and decimals. • Items may assess adding and subtracting decimals in the context of money. • Students will verify the reasonableness of results in problem situations. • Students may apply the mathematical properties to facilitate computation. Content Limits • Items may include up to two mixed numbers. • Items may include up to three fractions, which may contain unlike denominators. • Denominators of fractions may be 1–12, 14, 15, 16, 18, 21, 24, 25, 32, 35, 36, 45, 75, or any multiple of 10 through 100. • Items may include decimals through the thousandths place or in money. • Fractions and decimals may not be used in the same item.

4. Practice Questions

5. Practice Questions

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8. MA.5.A.2.4 Determine the prime factorization of numbers. Benchmark Clarifications • Students will factor composite numbers and express them as the product of prime factors. • Students will identify reasons why a number is prime or composite or identify numbers that are prime or composite. Content Limits • Expressions with a base of 2, 3, or 4 may have exponents up to 5, 4, or 3 respectively. • Expressions with a base of 5 through 10 may be raised to the second power. • Items will not include factoring numbers greater than 100.

11. Practice Questions

12. MA.5.A.6.1, assessed with MA.5.A.2.4 Identify and relate prime and composite numbers, factors, and multiples within the context of fractions. Benchmark Clarifications • Students will factor composite numbers and express them as the product of prime factors. • Students will identify reasons why a number is prime or composite or identify numbers that are prime or composite. Content Limits • Expressions with a base of 2, 3, or 4 may have exponents up to 5, 4, or 3 respectively. • Expressions with a base of 5 through 10 may be raised to the second power. • Items will not include factoring numbers greater than 100.

14. MA.5.A.2.1 Represent addition and subtraction of decimals and fractions with like and unlike denominators using models, place value, or properties. Benchmark Clarifications • Students will add and subtract fractions or decimals using graphic representations, place value, or the commutative or associative properties. Content Limits • Items may include graphic representations of models. • Items may include decimals through the thousandths place or in the context of money. Items may assess the commutative and/or associative properties. Denominators of fractions in the stimulus must be less than or equal • to 12. Items may include mixed numbers and/or fractions. Items may include fractions represented as parts of sets (e.g., 1 2dozen + 1 3 • dozen). • Regrouping in subtraction problems or finding a mixed number may be included. Items will not include more than three addends. Students may be required to apply concepts from MA.5.A.6.1, but this benchmark will not be assessed in isolation.

16. Practice Questions

18. MA.5.A.2.3, assessed with MA.5.A.2.2 Make reasonable estimates of fraction and decimal sums and differences, and use techniques for rounding. Benchmark Clarifications • Students will add and subtract fractions (like/unlike denominators) and decimals. • Items may assess adding and subtracting decimals in the context of money. • Students will verify the reasonableness of results in problem situations. • Students may apply the mathematical properties to facilitate computation. Content Limits • Items may include up to two mixed numbers. • Items may include up to three fractions, which may contain unlike denominators. • Denominators of fractions may be 1–12, 14, 15, 16, 18, 21, 24, 25, 32, 35, 36, 45, 75, or any multiple of 10 through 100. • Items may include decimals through the thousandths place or in money. • Fractions and decimals may not be used in the same item.