4th Grade Math (Arizona Mathematics Standards)

Operations and Algebraic Thinking (OA)

• 4.OA.A.1 Read 35 = 5 × 7 as a comparison (35 is five times 7) and write comparison statements as equations.
• 4.OA.A.2 Multiply or divide within 1000 to solve multiplicative comparison word problems, using drawings and equations (Table 2).
• 4.OA.A.3 Solve multistep word problems with all four operations, interpret remainders, and write equations with a letter for the unknown.
• 4.OA.B.4 Find all factor pairs of whole numbers 1–100 and recognize a number as a multiple of each of its factors. (being checked)
• 4.OA.C.5 Create a number pattern from a rule and notice and informally explain features the rule does not state.
• 4.OA.C.6 Judge whether answers are reasonable using mental math, estimation and rounding.

Number and Operations in Base Ten (NBT)

• 4.NBT.A.1 Know that in a whole number a digit is worth ten times what it would be worth one place to the right.
• 4.NBT.A.2 Read and write multi-digit whole numbers in numerals, words and expanded form and compare them using >, = and <.
• 4.NBT.A.3 Use place value to round a multi-digit whole number to the nearest ten, hundred, thousand or any other place.
• 4.NBT.B.4 Add and subtract multi-digit whole numbers fluently with the standard algorithm.
• 4.NBT.B.5 Multiply up to four digits by one digit and two digits by two digits with place-value strategies, explained with equations, arrays or area models.
• 4.NBT.B.6 Divide up to four-digit numbers by one-digit numbers, with remainders, using place-value strategies and explaining with equations, arrays or area models.

Number and Operations—Fractions (NF)

• 4.NF.A.1 Use models to explain why a/b equals (n × a)/(n × b) and use this to recognize and make equivalent fractions.
• 4.NF.A.2 Compare two fractions with different numerators and denominators using common denominators or numerators or benchmarks such as 1/2.
  • a. Know a comparison of fractions only makes sense when both refer to the same-size whole.
  • b. Record fraction comparisons with >, = or < and justify the result.
• 4.NF.B.3 Understand a fraction a/b (a > 1) as several unit fractions 1/b added together.
  • a. See adding and subtracting fractions as joining and separating parts of the same whole.
  • b. Break a fraction into a sum of same-denominator fractions in more than one way and justify with models.
  • c. Add and subtract mixed numbers that have the same denominator.
  • d. Solve word problems adding and subtracting fractions with like denominators.
• 4.NF.B.4 Extend earlier work on multiplication to multiply fractions by whole numbers.
  • a. Understand a/b as a times 1/b (e.g. 5/4 = 5 × 1/4).
  • b. Multiply a fraction by a whole number using the idea that n × (a/b) = (n × a)/b.
  • c. Solve word problems multiplying a whole number by a fraction and name the two whole numbers the answer lies between.
• 4.NF.C.5 Rewrite tenths as hundredths and add fractions with denominators 10 and 100.
• 4.NF.C.6 Write fractions with denominators 10 or 100 as decimals and place them on a number line.
• 4.NF.C.7 Compare decimals to hundredths by reasoning about size, for the same whole, recording with >, = or <.

Measurement and Data (MD)

• 4.MD.A.1 Know how units in one system compare in size (metric length, mass and capacity, pounds and ounces, time) and convert either way. (being checked)
• 4.MD.A.2 Solve word problems on distance, time, volume, mass and money with all four operations, including decimals and like-denominator fractions.
• 4.MD.A.3 Use rectangle area and perimeter formulas to solve problems, including finding unknown side lengths (Table 2).
• 4.MD.B.4 Make line plots of measurements in halves, quarters and eighths and solve fraction problems from them.
• 4.MD.C.5 Recognize angles as shapes made by two rays with a shared endpoint and understand how angles are measured.
  • a. Measure an angle by the fraction of a circle it turns through; 1/360 of a turn is a one-degree angle.
  • b. An angle made of n one-degree turns has a measure of n degrees.
• 4.MD.C.6 Measure angles in whole degrees with a protractor and sketch angles of a given size.
• 4.MD.C.7 Know angle measures add up when an angle is split, and solve problems to find unknown angles.

Geometry (G)

• 4.G.A.1 Draw and identify points, lines, segments, rays, right/acute/obtuse angles, and perpendicular and parallel lines.
• 4.G.A.2 Classify 2-D figures by whether they have parallel or perpendicular lines or angles of a given size. (being checked)
• 4.G.A.3 Identify line-symmetric shapes and draw their lines of symmetry.