# 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.

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.