Elementary School Math Milestones

Kindergarten Students are able to:

  • Count, recognize, and order numbers of objects with understanding.
  • Compare two or more sets of objects.
  • Identify, sort, and classify objects.
  • Understand concepts of time.
  • Name the days of the week.
  • Identify geometric shapes.
  • Begin to match number words to numerals.

First Grade Students are able to:

  • Match number words to numerals.
  • Identify ordinal numbers.
  • Compare numbers using less than > and greater than < symbols.
  • Count and groups numbers in ones and tens.
  • Count by 2s, 5s, and 10s to 100.
  • Solve addition and subtraction problems with one and two-digit numbers.
  • Understand the meaning of symbols (+, =, -).
  • Understand the concept of place value.

Second Grade Students are able to:

  • Identify odd and even numbers.
  • Identify the number and written word for ordinal numbers.
  • Write a numeral in hundreds, tens, and ones when given an illustration.
  • Identify the value of each digit for numbers through 1,000.
  • Count and read numbers through 1,000.
  • Order and compare numbers to 1,000 by using mathematical symbols <, =, >.
  • Writes numbers in short sequence from any point through 1,000.
  • Writes and matches word names to numerals to the thousands.
  • Identify the greater or lesser of two numerals from 1-1,000.
  • Use words, models, and expanded forms (e.g., 45 = 45 tens + 5).
  • Understand the relationship between addition and subtraction.
  • Know multiplication tables of 2s, 5s, and 10s.
  • Recognize fractions as whole and parts of a group.
  • Solve problem using a combination of coins and bills.
  • Understand measurement of time, days in a week and month, weeks in a year, and intervals of time.
  • Understand data on a chart or graph.

Third Grade Students are able to:

  • Identify the place value of each digit through the hundred-thousands.
  • Write numerals in expanded form through the hundred-thousands.
  • Write or match word names to numerals through the hundred thousands.
  • Identify the greater or lesser of two numbers through 999,999.
  • Identify the numeral that comes before, between or after.
  • Order numbers from least to greatest and greatest to least.
  • Round numbers to 10,000 to the nearest ten, hundred, and thousand.
  • Use expanded notation to represent numbers (e.g., 3,256 = 3,000 + 200 + 56).
  • Compare fractions.
  • Addition and subtraction of simple fractions (e.g., 1/8 + 3/8 is the same as ½).
  • Use estimation.
  • Identify, classify, and describe polygons, triangles, quadrilaterals, right angles, three-dimensional geometric objects, and solid objects.
  • Solve problems involving multi-digit numbers in addition, subtraction, multiplication, and division.

Fourth Grade Students are able to:

  • Identify the place value and value of each digit in numerals through the millions.
  • Write numerals in expanded form through the millions.
  • Write or matches word names to numerals through the millions.
  • Identify the greater or lesser of two numbers through the millions.
  • Round four and five-digit numbers to the nearest ten, hundred, thousand, or ten-thousand.
  • Identify the value of Roman numerals using I, V, and X.
  • Identify parallel and perpendicular lines, radius and diameter of a circle, congruent figures, and figures that have bilateral and rotational symmetry.
  • Understand the definition of different angles (e.g., acute, right, and obtuse).
  • Estimate and compute the sum or difference of whole numbers and positive decimal two places.
  • Solve problems involving multiplication of multi-digit numbers by two-digit numbers.
  • Understand that an equation such as y = 3x + 5 is a prescription for determining second number when a first number is given.
  • Understand simple probability.
  • Understand concepts of negative numbers.
  • Analyze data.
  • Write tenths and hundredths in decimal and fraction notations and know they are equal halves and fourths (e.g., ½ = 0.5 or .50; 7/4 = 1 ¾ = 1.75).
  • Measure an area of rectangular shapes by using appropriate units (e.g., centimeters squared, square meter, square kilometer, square inch, square yard, or square mile).

Fifth Grade Students are able to:

  • Identify the place value and value of each digit in numerals through the billions.
  • Estimate, manipulate, and round very large numbers (millions and thousands).
  • Compare and order numbers through the billions.
  • Round whole numbers to the nearest millions and billions.
  • Use estimation strategy of compatible numbers and computational strategy of compensations.
  • Determine the prime and composite factors through 50.
  • Identify and represents on a number line decimals, fractions, mixed numbers, and positive and negative integers.
  • Add, subtract, multiply, and divide with decimals.
  • Use information taken from a graph or equation to answer questions about a problem situation.
  • Identify and graphs ordered pairs in the four quadrants of a coordinate planes.
  • Solve linear functions.
  • Measure, draw, and identify angles.
  • Understand concepts of mean, median, and mode.
  • Analyze problems.
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Resource:
The information has been adapted from the California State Board of Education’s website and was adopted by the California State Board of Education, December 1997.