# 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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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.