Standards Detail
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Mathematics
- Standard Area - CC.2.1: Numbers and Operations
- Grade Level - CC.2.1.4: GRADE 4
Apply place value concepts to show an understanding of multi-digit whole numbers.
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Anchor Descriptor - M04.A-T.1.1 Apply place-value and numeration concepts to compare, find equivalencies, and round.
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Eligible Content - M04.A-T.1.1.1 Demonstrate an understanding that in a multi-digit whole number (through 1,000,000), a digit in one place represents ten times what it represents in the place to its right. Example: Recognize that in the number 770, the 7 in the hundreds place is ten times the 7 in the tens place.
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Alternate Eligible Content - M04.A-T.1.1.1a Model relationships between adjacent digits in a multi-digit whole number.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
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Eligible Content - M04.A-T.1.1.2 Read and write whole numbers in expanded, standard, and word form through 1,000,000.
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Eligible Content - M04.A-T.1.1.3 Compare two multi-digit numbers through 1,000,000 based on meanings of the digits in each place, using >, =, and < symbols.
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Alternate Eligible Content - M04.A-T.1.1.3a Compare to determine if a value is greater than, less than, or equal to another value.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
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Eligible Content - M04.A-T.1.1.4 Round multi-digit whole numbers (through 1,000,000) to any place.
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Use place value understanding and properties of operations to perform multi-digit arithmetic.
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Anchor Descriptor - M04.A-T.2.1 Use operations to solve problems.
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Eligible Content - M04.A-T.2.1.1 Add and subtract multi-digit whole numbers (limit sums and subtrahends up to and including 1,000,000).
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Alternate Eligible Content - M04.A-T.2.1.1a Add or subtract whole numbers with sums and differences <1000.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
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Eligible Content - M04.A-T.2.1.2 Multiply a whole number of up to four digits by a one-digit whole number and multiply 2 two-digit numbers.
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Alternate Eligible Content - M04.A-T.2.1.2a Demonstrate understanding of multiplication or division with small sets.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
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Eligible Content - M04.A-T.2.1.3 Divide up to four-digit dividends by one-digit divisors with answers written as whole-number quotients and remainders.
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Eligible Content - M04.A-T.2.1.4 Estimate the answer to addition, subtraction, and multiplication problems using whole numbers through six digits (for multiplication, no more than 2 digits × 1 digit, excluding powers of 10).
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Alternate Eligible Content - M04.A-T.2.1.4a Assess the plausibilityof results fromaddition or subtraction.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
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Extend the understanding of fractions to show equivalence and ordering.
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Anchor Descriptor - M04.A-F.1.1 Find equivalencies and compare fractions.
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Eligible Content - M04.A-F.1.1.1 Recognize and generate equivalent fractions.
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Alternate Eligible Content - M04.A-F.1.1.1a Identify equivalent fractions.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
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Eligible Content - M04.A-F.1.1.2 Compare two fractions with different numerators and different denominators (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100) using the symbols >, =, or < and justify the conclusions.
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Alternate Eligible Content - M04.A-F.1.1.2a Compare two fractions with like denominators.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
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Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
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Anchor Descriptor - M04.A-F.2.1 Solve problems involving fractions and whole numbers (straight computation or word problems).
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Eligible Content - M04.A-F.2.1.1 Add and subtract fractions with a common denominator (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100; answers do not need to be simplified; and no improper fractions as the final answer).
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Alternate Eligible Content - M04.A-F.2.1.1a Add or subtract fractions with common denominators (denominators limited to 2, 3, 4, or 8).
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
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Eligible Content - M04.A-F.2.1.2 Decompose a fraction or a mixed number into a sum of fractions with the same denominator (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100), recording the decomposition by an equation. Justify decompositions (e.g., by using a visual fraction model). Example 1: 3/8 = 1/8 + 1/8 + 1/8 OR 3/8 = 1/8 + 2/8 Example 2: 2 1/12 = 1 + 1 + 1/12 = 12/12 + 12/12 + 1/12
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Alternate Eligible Content - M04.A-F.2.1.2a Decompose a proper fraction into multiple copies of a unit fraction (denominators limited to 3, 4, or 8).
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
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Eligible Content - M04.A-F.2.1.3 Add and subtract mixed numbers with a common denominator (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100; no regrouping with subtraction; fractions do not need to be simplified; and no improper fractions as the final answers).
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Eligible Content - M04.A-F.2.1.4 Solve word problems involving addition and subtraction of fractions referring to the same whole or set and having like denominators (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100).
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Eligible Content - M04.A-F.2.1.5 Multiply a whole number by a unit fraction (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100 and final answers do not need to be simplified or written as a mixed number). Example: 5 × (1/4) = 5/4
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Eligible Content - M04.A-F.2.1.6 Multiply a whole number by a non-unit fraction (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100 and final answers do not need to be simplified or written as a mixed number). Example: 3 × (5/6) = 15/6
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Eligible Content - M04.A-F.2.1.7 Solve word problems involving multiplication of a whole number by a fraction (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100).
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Connect decimal notation to fractions, and compare decimal fractions (base 10 denominator, e.g, 19/100).
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Anchor Descriptor - M04.A-F.3.1 Use operations to solve problems involving decimals, including converting between fractions and decimals (may include word problems).
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Eligible Content - M04.A-F.3.1.1 Add two fractions with respective denominators 10 and 100. Example: Express 3/10 as 30/100, and add 3/10 + 4/100 = 30/100 + 4/100 = 34/100.
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Eligible Content - M04.A-F.3.1.2 Use decimal notation for fractions with denominators 10 or 100. Example: Rewrite 0.62 as 62/100 and vice versa.
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Alternate Eligible Content - M04.A-F.3.1.2a Identify equivalent values in decimal or fraction form (limited to denominator of 10).
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
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Eligible Content - M04.A-F.3.1.3 Compare two decimals to hundredths using the symbols >, =, or <, and justify the conclusions.
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