4th Grade Math (Maryland MCCRS)

Number and Operation Sense – 4.NOS.A: Place value for multi-digit whole numbers

• 4.NOS.A.1 Extend place value to whole numbers up to 1,000,000.
  • a. Read and write them as numerals, words and expanded form.
  • b. Estimate with number lines, benchmark numbers and rounding.
  • c. Compare them by digit values and number lines; record with comparison symbols.
• 4.NOS.A.2 Explain that a digit is worth ten times what it would be worth in the place to its right, using place value and division.

Number and Operation Sense – 4.NOS.B: Place value and properties for multi-digit arithmetic

• 4.NOS.B.3 Add and subtract multi-digit whole numbers up to 1,000,000 fluently.
  • a. Estimate sums and differences.
  • b. Use efficient strategies such as decomposing and partial sums.
  • c. Use the standard algorithm.
  • d. Choose the most efficient strategy and explain why.
• 4.NOS.B.4 Multiply a multi-digit whole number by a multiple of ten using place value and basic facts.
• 4.NOS.B.5 Multiply up to a four-digit number by a one-digit number, and a two-digit number by a two-digit number.
  • a. Estimate products.
  • b. Use place value strategies such as partial products.
  • c. Use properties of operations, such as doubling and halving.
  • d. Show and explain the work with arrays, area models or equations.
• 4.NOS.B.6 Divide dividends of up to four digits by one-digit divisors, with and without remainders.
  • a. Estimate quotients.
  • b. Use place value strategies such as partial quotients.
  • c. Use properties and the inverse relationship with multiplication.
  • d. Show and explain the work with arrays, area models or equations.

Number and Operation Sense – 4.NOS.C: Factors and multiples

• 4.NOS.C.7 Recall or quickly work out multiplication and division facts within 100.
  • a. Skip count by 2s, 5s and 10s and use the properties of 0 and 1.
  • b. Work out unknown facts from known facts, such as doubles.
  • c. Use properties, such as splitting a factor, to multiply.
  • d. Use the inverse relationship of multiplication and division.
• 4.NOS.C.8 Explain and use factors, multiples, and prime and composite numbers from 1 to 100.
  • a. Find factor pairs.
  • b. Decide whether a number is a multiple of a given one-digit number.
  • c. Tell factors from multiples and explain how they are related.
  • d. Classify a number as prime, composite or neither.

Number and Operation Sense – 4.NOS.D: Fraction equivalence and ordering

• 4.NOS.D.9 Understand and generate equivalent fractions.
  • a. Find and make equivalent fractions with models and the identity property of multiplication.
  • b. Explain why two fractions are equivalent.
• 4.NOS.D.10 Compare fractions with different numerators and denominators, knowing comparisons hold only for the same whole.
  • a. Compare using benchmarks, common numerators or common denominators.
  • b. Record the comparison with symbols.
  • c. Justify the comparison with models and reasoning.

Number and Operation Sense – 4.NOS.E: Build fractions from unit fractions

• 4.NOS.E.11 Break a fraction equal to or greater than 1 into sums of unit fractions in more than one way; record each as an equation.
• 4.NOS.E.12 Add and subtract fractions with like denominators.
  • a. Treat adding and subtracting as joining and separating parts of the same whole.
  • b. Estimate with benchmarks and check that answers are reasonable.
  • c. Apply whole-number strategies to fractions.
  • d. Solve word problems with fraction models and equations.
• 4.NOS.E.13 Multiply a fraction by a whole number.
  • a. Estimate products with benchmarks and check reasonableness.
  • b. Interpret a whole number times a unit fraction as equal groups.
  • c. Interpret a whole number times a fraction as equal groups.
  • d. Solve word problems with fraction models and equations.

Number and Operation Sense – 4.NOS.F: Decimal notation for fractions; compare decimals

• 4.NOS.F.14 Rewrite tenths as equivalent hundredths in order to add fractions with denominators 10 and 100.
• 4.NOS.F.15 Write fractions with denominators 10 and 100 as decimals.
• 4.NOS.F.16 Compare decimals to hundredths by reasoning about their size (same whole only) and justify the result.

Algebraic Thinking – 4.AT.A: Multiplication and division problems

• 4.AT.A.1 Interpret a multiplication equation as a comparison and write verbal comparisons as equations.
• 4.AT.A.2 Multiply or divide to solve multiplicative comparison problems with drawings and equations using a symbol for the unknown.
• 4.AT.A.3 Tell multiplicative comparisons apart from additive comparisons.
• 4.AT.A.4 Solve multistep whole-number word problems with all four operations, including interpreting remainders.
  • a. Write equations with a letter for the unknown.
  • b. Judge whether answers make sense, including how remainders are treated.

Geometric Reasoning and Measurement – 4.GR.A: Measurement conversion, area and perimeter

• 4.GR.A.1 Use how units in one measurement system relate to convert a larger unit into a smaller one.
• 4.GR.A.2 Solve problems about distance, time, liquid volume, mass and money with all four operations, including fractions, decimals and conversions.
• 4.GR.A.3 Apply rectangle area and perimeter formulas to real-world problems, including finding a missing side length.
• 4.GR.A.4 Relate the area of a triangle to the area of a rectangle by decomposing shapes, derive the triangle area formula and apply it.

Geometric Reasoning and Measurement – 4.GR.B: Angles and angle measure

• 4.GR.B.5 Define an angle as two rays with a shared endpoint and measure it in degrees as a turn based on a circle.
• 4.GR.B.6 Measure angles in whole degrees with a protractor; estimate and sketch angles of a given size.
• 4.GR.B.7 Know that an angle's measure is the sum of its non-overlapping parts and add or subtract to find unknown angles.

Geometric Reasoning and Measurement – 4.GR.C: Lines, angles and shapes

• 4.GR.C.8 Draw and identify points, lines, segments, rays, right, acute and obtuse angles, and perpendicular and parallel lines in figures.
• 4.GR.C.9 Classify plane figures by parallel or perpendicular lines or angles of a given size; recognize right triangles as a category.

Reasoning with Data and Statistics – 4.DS.A: Represent and interpret data

• 4.DS.A.1 Ask and answer questions by collecting, organizing and summarizing data in context.
  • a. Make scaled bar graphs for categories and line plots with halves, fourths or eighths for measurements.
  • b. Summarize scaled graphs and draw conclusions.
  • c. Compare different graphs of the same data and explain how choices such as bar order or scale change the reading.