A brownie bake

North Carolina Curriculum Alignment

Mathematics (2004)

Grade 3

• Goal 1: Number and Operations - The learner will model, identify, and compute with whole numbers through 9,999.
  • Objective 1.01: Develop number sense for whole numbers through 9,999.
    • Connect model, number word, and number using a variety of representations.
    • Build understanding of place value (ones through thousands).
    • Compare and order.
  • Objective 1.02: Develop fluency with multi-digit addition and subtraction through 9,999 using:
    • Strategies for adding and subtracting numbers.
    • Estimation of sums and differences in appropriate situations.
    • Relationships between operations.
  • Objective 1.03: Develop fluency with multiplication from 1x1 to 12x12 and division up to two-digit by one-digit numbers using:
    • Strategies for multiplying and dividing numbers.
    • Estimation of products and quotients in appropriate situations.
    • Relationships between operations.
  • Objective 1.04: Use basic properties (identity, commutative, associative, order of operations) for addition, subtraction, multiplication, and division.
  • Objective 1.05: Use area or region models and set models of fractions to explore part-whole relationships.
    • Represent fractions concretely and symbolically (halves, fourths, thirds, sixths, eighths).
    • Compare and order fractions (halves, fourths, thirds, sixths, eighths) using models and benchmark numbers (zero, one-half, one); describe comparisons.
    • Model and describe common equivalents, especially relationships among halves, fourths, and eighths, and thirds and sixths.
    • Understand that the fractional relationships that occur between zero and one also occur between every two consecutive whole numbers.
    • Understand and use mixed numbers and their equivalent fraction forms.
  • Objective 1.06: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.
• Goal 2: Measurement - The learner will recognize and use standard units of metric and customary measurement.
  • Objective 2.01: Solve problems using measurement concepts and procedures involving:
    • Elapsed time.
    • Equivalent measures within the same measurement system.
  • Objective 2.02: Estimate and measure using appropriate units.
    • Capacity (cups, pints, quarts, gallons, liters).
    • Length (miles, kilometers).
    • Mass (ounces, pounds, grams, kilograms).
    • Temperature (Fahrenheit, Celsius).

Grade 4

• Goal 1: Number and Operations - The learner will read, write, model, and compute with non-negative rational numbers.
  • Objective 1.01: Develop number sense for rational numbers 0.01 through 99,999.
    • Connect model, number word, and number using a variety of representations.
    • Build understanding of place value (hundredths through ten thousands).
    • Compare and order rational numbers.
    • Make estimates of rational numbers in appropriate situations.
  • Objective 1.02: Develop fluency with multiplication and division:
    • Two-digit by two-digit multiplication (larger numbers with calculator).
    • Up to three-digit by two-digit division (larger numbers with calculator).
    • Strategies for multiplying and dividing numbers.
    • Estimation of products and quotients in appropriate situations.
    • Relationships between operations.
  • Objective 1.03: Solve problems using models, diagrams, and reasoning about fractions and relationships among fractions involving halves, fourths, eighths, thirds, sixths, twelfths, fifths, tenths, hundredths, and mixed numbers.
  • Objective 1.04: Develop fluency with addition and subtraction of non-negative rational numbers with like denominators, including decimal fractions through hundredths.
    • Develop and analyze strategies for adding and subtracting numbers.
    • Estimate sums and differences.
    • Judge the reasonableness of solutions.
  • Objective 1.05: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.

Grade 5

• Goal 1: Number and Operations - The learner will understand and compute with non-negative rational numbers.
  • Objective 1.01: Develop number sense for rational numbers 0.001 through 999,999.
    • Connect model, number word, and number using a variety of representations.
    • Build understanding of place value (thousandths through hundred thousands).
    • Compare and order rational numbers.
    • Make estimates of rational numbers in appropriate situations.
  • Objective 1.02: Develop fluency in adding and subtracting non-negative rational numbers (halves, fourths, eighths; thirds, sixths, twelfths; fifths, tenths, hundredths, thousandths; mixed numbers).
    • Develop and analyze strategies for adding and subtracting numbers.
    • Estimate sums and differences.
    • Judge the reasonableness of solutions.
  • Objective 1.03: Develop flexibility in solving problems by selecting strategies and using mental computation, estimation, calculators or computers, and paper and pencil.
• Goal 2: Measurement - The learner will recognize and use standard units of metric and customary measurement.
  • Objective 2.01: Estimate the measure of an object in one system given the measure of that object in another system.