4th Grade Math (Colorado Academic Standards)

Standard 1: Number and Quantity

• MA.4.NBT.A Extend place value to multi-digit whole numbers.
  • 1. Know that in a whole number a digit is worth ten times what it would be worth one place to the right.
  • 2. Read and write multi-digit whole numbers in numerals, words and expanded form and compare them using >, = and <.
  • 3. Use place value to round a multi-digit whole number to the nearest ten, hundred, thousand or any other place.
• MA.4.NBT.B Use place value and properties of operations for multi-digit arithmetic.
  • 1. Add and subtract multi-digit whole numbers fluently with the standard algorithm.
  • 2. 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.
  • 3. Divide up to four-digit numbers by one-digit numbers, with remainders, using place-value strategies and explaining with equations, arrays or area models.
• MA.4.NF.A Build understanding of equivalent fractions and ordering fractions.
  • 1. Use models to explain why a/b equals (n × a)/(n × b) and use this to recognize and make equivalent fractions.
  • 2. Compare fractions with different numerators and denominators using common denominators or benchmarks such as 1/2; record with >, = or <.
• MA.4.NF.B Build fractions from unit fractions.
  • 1. Understand a fraction a/b (a > 1) as several unit fractions 1/b added together.
  • 1.a. See adding and subtracting fractions as joining and separating parts of the same whole.
  • 1.b. Break a fraction into a sum of same-denominator fractions in more than one way and justify with models.
  • 1.c. Add and subtract mixed numbers that have the same denominator.
  • 1.d. Solve word problems adding and subtracting fractions with like denominators.
  • 2. Extend earlier work on multiplication to multiply fractions by whole numbers.
  • 2.a. Understand a/b as a times 1/b (e.g. 5/4 = 5 × 1/4).
  • 2.b. Multiply a fraction by a whole number using the idea that n × (a/b) = (n × a)/b.
  • 2.c. Solve word problems that multiply a fraction by a whole number.
• MA.4.NF.C Understand decimal notation for fractions and compare decimals.
  • 1. Rewrite tenths as hundredths and add fractions with denominators 10 and 100.
  • 2. Write fractions with denominators 10 or 100 as decimals and place them on a number line.
  • 3. Compare decimals to hundredths by reasoning about size, for the same whole, recording with >, = or <.

Standard 2: Algebra and Functions

• MA.4.OA.A Solve problems with the four operations on whole numbers.
  • 1. Read 35 = 5 × 7 as a comparison (35 is five times 7) and write comparison statements as equations.
  • 2. Solve word problems with multiplicative comparison, telling it apart from additive comparison.
  • 3. Solve multistep whole-number word problems with all four operations, interpreting remainders, using letter equations and checking with estimation.
• MA.4.OA.B Get to know factors and multiples.
  • 1. Find all factor pairs of a number from 1 to 100, decide if it is a multiple of a one-digit number, and decide if it is prime or composite.
• MA.4.OA.C Generate and analyze patterns.
  • 1. Create a number or shape pattern from a rule and spot features of the pattern that the rule does not state.

Standard 3: Data, Statistics, and Probability

• MA.4.MD.A Solve measurement problems, including converting units.
  • 1. Know the relative sizes of units in one system (metric length and mass, pounds and ounces, liters, time) and convert larger units to smaller ones.
  • 2. Solve word problems with all four operations about distance, time, volume, mass and money, including simple fractions or decimals.
  • 3. Use rectangle area and perimeter formulas in real-world and math problems.
• MA.4.MD.B Show and interpret data.
  • 1. Make line plots of measurements in halves, quarters and eighths and solve fraction problems from them.
• MA.4.MD.C Understand and measure angles.
  • 1. Recognize angles as shapes made by two rays with a shared endpoint and understand how angles are measured.
  • 1.a. Measure an angle by the fraction of a circle it turns through; 1/360 of a turn is a one-degree angle.
  • 1.b. An angle made of n one-degree turns has a measure of n degrees.
  • 2. Measure angles in whole degrees with a protractor and sketch angles of a given size.
  • 3. Know angle measures add up when an angle is split, and solve problems to find unknown angles.

Standard 4: Geometry

• MA.4.G.A Draw and identify lines and angles and classify shapes by them.
  • 1. Draw and identify points, lines, segments, rays, right/acute/obtuse angles, and perpendicular and parallel lines.
  • 2. Classify 2-D shapes by parallel or perpendicular lines or angle types, and identify right triangles.
  • 3. Identify line-symmetric shapes and draw their lines of symmetry.