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Subject Area - CC.2:
Mathematics
  • Standard Area - CC.2.1: Numbers and Operations
  • Grade Level - CC.2.1.5: GRADE 5
Standard - CC.2.1.5.B.1

Apply place value to show an understanding of operations and rounding as they pertain to whole numbers and decimals.

Eligible Content:
5 Total
PASA DLM
Essential Elements (EE)
Assessments
Materials & Resources
  • Anchor Descriptor - M05.A-T.1.1 Demonstrate understanding of place-value of whole numbers and decimals, and compare quantities or magnitudes of numbers.
    • Eligible Content - M05.A-T.1.1.1 Demonstrate an understanding that in a multi-digit number, a digit in one place represents 1/10 of what it represents in the place to its left. Example: Recognize that in the number 770, the 7 in the tens place is 1/10 the 7 in the hundreds place.
      • Alternate Eligible Content - M05.A-T.1.1.1a Identify place value in a 3-digit number using models.
        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.
    • Eligible Content - M05.A-T.1.1.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10 and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10. Example 1: 4 × 10^2 = 400 Example 2: 0.05 ÷ 10^3 = 0.00005
      • Alternate Eligible Content - M05.A-T.1.1.2a Identify a pattern and change in place value when a number up to 99 is multiplied by powers 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.
    • Eligible Content - M05.A-T.1.1.3 Read and write decimals to thousandths using base-ten numerals, word form, and expanded form. Example: 347.392 = 300 + 40 + 7 + 0.3 + 0.09 + 0.002 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (0.1) + 9 × (0.01) + 2 × (0.001)
    • Eligible Content - M05.A-T.1.1.4 Compare two decimals to thousandths based on meanings of the digits in each place using >, =, and < symbols.
      • Alternate Eligible Content - M05.A-T.1.1.4a Compare two numbers up to the hundredths place.
        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.
    • Eligible Content - M05.A-T.1.1.5 Round decimals to any place (limit rounding to ones, tenths, hundredths, or thousandths place).
      • Alternate Eligible Content - M05.A-T.1.1.5a Round a decimal from the tenths place to the nearest 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.
Standard - CC.2.1.5.B.2

Extend an understanding of operations with whole numbers to perform operations including decimals.

Eligible Content:
3 Total
PASA DLM
Essential Elements (EE)
Assessments
Materials & Resources
  • Anchor Descriptor - M05.A-T.2.1 Use whole numbers and decimals to compute accurately (straight computation or word problems).
    • Eligible Content - M05.A-T.2.1.1 Multiply multi-digit whole numbers (not to exceed three-digit by three-digit).
      • Alternate Eligible Content - M05.A-T.2.1.1a Multiply single-digit whole numbers.
        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.
    • Eligible Content - M05.A-T.2.1.2 Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors.
      • Alternate Eligible Content - M05.A-T.2.1.2a Illustrate the concept of division using fair and equal shares.
        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.
    • Eligible Content - M05.A-T.2.1.3 Add, subtract, multiply, and divide decimals to hundredths (no divisors with decimals).
      • Alternate Eligible Content - M05.A-T.2.1.3a Add or subtract decimals to the tenths place.
        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.
Standard - CC.2.1.5.C.1

Use the understanding of equivalency to add and subtract fractions.

Eligible Content:
1 Total
PASA DLM
Essential Elements (EE)
Assessments
Materials & Resources
  • Anchor Descriptor - M05.A-F.1.1 Solve addition and subtraction problems involving fractions (straight computation or word problems).
    • Eligible Content - M05.A-F.1.1.1 Add and subtract fractions (including mixed numbers) with unlike denominators. (May include multiple methods and representations.) Example: 2/3 + 5/4 = 8/12 + 15/12 = 23/12
      • Alternate Eligible Content - M05.A-F.1.1.1a Add or subtract proper fractions with common denominators to solve a real-world problem.
        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.
Standard - CC.2.1.5.C.2

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

Eligible Content:
4 Total
Assessments
Materials & Resources
  • Anchor Descriptor - M05.A-F.2.1 Solve multiplication and division problems involving fractions and whole numbers (straight computation or word problems).
    • Eligible Content - M05.A-F.2.1.1 Solve word problems involving division of whole numbers leading to answers in the form of fractions (including mixed numbers).
    • Eligible Content - M05.A-F.2.1.2 Multiply a fraction (including mixed numbers) by a fraction.
      • Alternate Eligible Content - M05.A-F.2.1.2a Multiply a fraction by a whole number less than 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.
    • Eligible Content - M05.A-F.2.1.3 Demonstrate an understanding of multiplication as scaling (resizing). Example 1: Comparing the size of a product to the size of one factor on the basis of the size of the other factor without performing the indicated multiplication. Example 2: Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number.
    • Eligible Content - M05.A-F.2.1.4 Divide unit fractions by whole numbers and whole numbers by unit fractions.
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