Kindergarten Math Curriculum
Family-facing version of the kindergarten math curriculum
Quarterly Overview of Kindergarten Mathematics
The objectives and outcomes for each unit are common across FCPS and based on the Virginia Standards of Learning. The pacing by quarter and by week provides an example of how the curriculum can be organized throughout the year. Teacher teams may adjust the pacing or order of units to best meet the needs of students.
Units and Details
Students will:
- Ask questions that require collecting small amounts of data (up to 25 data points in no more than four categories) based on a given situation.
- Determine the type of information needed to answer a question, and gather this information using simple methods like counting items or drawing pictures.
- Sort objects into groups and create an object graph to show your data.
- Use pictures to organize and display your data in a simple picture graph.
- Look at the data shown in object graphs and picture graphs to understand it better: i) ask and answer questions about the data (e.g., how many items are in each category, which category has the most or the least items); and ii) make conclusions and predictions based on what you see in the graphs.
- Understand that a calendar is a tool we use to keep track of time.
- Learn and say the names of the days of the week and know that there are seven days in one week.
- Figure out which day comes before and after a specific day (e.g., yesterday, today, tomorrow).
- Learn and say the names of the twelve months of the year and know that there are twelve months in one year.
- Know the difference between the days of the week and the months of the year.
- Find and describe the main part that repeats in a pattern.
- Continue a repeating pattern by adding at least two more sets of the repeating part.
- Make and explain a repeating pattern using objects, colors, sounds, movements, or pictures.
- Use one-to-one matching to find out how many items are in a set of up to 30 objects (like cubes, pennies, or balls) and say the total number when you finish counting.
- Understand and explain that the number of objects stays the same no matter how they are arranged or the order in which you count them.
- Use different tools, like five-frames, ten-frames, and number paths, to show forward counting by ones.
- Count forward by ones from 0 to 100.
- Count forward by ones, starting from any number up to 100.
- Count backward by ones from any number between 1 and 20.
- Say the next number, without counting, when given any number between 0 and 30.
- Say the previous number, without counting, when given any number between 1 and 20.
- Read, write, and identify the numerals 0 through 30.
Students will:
- Recognize and name pictures and objects that are circles, triangles, squares, and rectangles, no matter how they are turned.
- Describe triangles, squares, and rectangles by talking about the number of sides and corners they have.
- Describe a circle by using words like round and curved.
- Understand that a calendar helps us keep track of time.
- Know the names of the days of the week and that there are seven days in a week.
- Figure out which day comes before and after a certain day (like yesterday, today, and tomorrow).
- Learn the names of the twelve months and know that there are twelve months in a year.
- Tell the difference between the days of the week and the months of the year.
- Sort and group objects based on one characteristic (like size, shape, color, or thickness).
- Describe and label the characteristics (like size, color, shape) of a group of objects (like coins, counters, or buttons) that have been sorted.
- Ask questions that need you to collect small amounts of data (up to 25 items in no more than four categories) based on a given situation.
- Figure out what information is needed to answer a question, and gather this information by counting objects or drawing pictures.
- Organize and display a group of objects by sorting them into groups to make a simple object graph.
- Use pictures to organize and show your data in a simple picture graph.
- Look at the data in object graphs and picture graphs to understand it better: i) Ask and answer questions about the data (like how many items are in each category, which category has the most or the least items). ii) Make conclusions and predictions based on what you see in the graphs.
- Find and describe the main part that repeats in a pattern.
- Continue a repeating pattern by adding at least two more sets of the repeating part.
- Make and explain a repeating pattern using objects, colors, sounds, movements, or pictures.
- Count out loud by ones from 0 to 100.
- Count out loud by ones, starting from any number up to 100.
- Count backward out loud by ones from any number between 1 and 20.
Students will:
- Use one-to-one matching to count how many items are in a set of up to 30 objects (like cubes, pennies, or balls), and say the total number when you finish counting.
- Understand and explain that the number of objects stays the same no matter how they are arranged or the order in which you count them.
- Show forward counting by ones using different tools, such as five-frames, ten-frames, and number paths.
- Count out loud by ones from 0 to 100.
- Count out loud by ones, starting from any number up to 100.
- Count backward out loud by ones from any number between 1 and 20.
- Say the next number without counting when given any number between 0 and 30.
- Read, write, and recognize the numbers from 0 to 30.
- Create a group of objects that matches a given number up to 30, including an empty group for zero.
- Count a group of up to 30 objects and write down the number that matches the total count.
- Given a group of up to 30 objects, make another group that has more, fewer, or the same number of objects using real items or pictures.
- Given a number up to 30, create a group that has more, fewer, or the same number of objects using real items or pictures.
- Compare two groups that each have up to 30 objects to see which has more, fewer, or the same number of objects.
- Use objects, drawings, words, or numbers to break down and put together numbers up to 5 in different ways.
- Quickly recognize and explain how numbers up to 5 can be split into parts and combined in various ways.
- Show and find the number that adds up to 5 when combined with a given number less than or equal to 5.
- Understand that a calendar is used to measure and keep track of time.
- Learn and say the names of the days of the week and know that there are seven days in a week.
- Figure out which day comes before and after a specific day (like yesterday, today, and tomorrow).
- Learn and say the names of the twelve months of the year and know that there are twelve months in a year.
- Know the difference between the days of the week and the months of the year.
- Ask questions within a given context that require gathering small amounts of data (up to 25 points in no more than four categories).
- Figure out what information is needed to answer a question, and gather this information by counting objects or drawing pictures.
- Sort objects into groups and display the data in a simple object graph, either vertically or horizontally.
- Use pictures to organize and show the data in a simple picture graph, either vertically or horizontally.
- Look at the data in object graphs and picture graphs to understand it better:
- Ask and answer questions about the data (like how many items are in each category and which categories have the most, least, or the same amount).
- Make conclusions and predictions based on what you see in the graphs.
Students will:
- Recognize and name pictures and objects that are circles, triangles, squares, and rectangles, no matter how they are turned.
- Describe triangles, squares, and rectangles by talking about the number of sides and corners they have.
- Describe a circle using words like round and curved.
- Identify and explain the differences between examples and nonexamples of circles, triangles, squares, and rectangles.
- Compare and contrast two shapes by describing what is similar and different about them.
- Make shapes (circles, triangles, squares, and rectangles) using different materials like straws, sticks, or pipe cleaners.
- Find and describe the main part that repeats in a pattern.
- Continue a repeating pattern by adding at least two more sets of the repeating part.
- Make and explain a repeating pattern using objects, colors, sounds, movements, or pictures.
- Recognize that a calendar is used to measure and keep track of time.
- Learn and name the days of the week, knowing that there are seven days in one week.
- Figure out which day comes before and after a specific day (like yesterday, today, and tomorrow).
- Learn and name the twelve months of the year, knowing that there are twelve months in one year.
- Understand the difference between the days of the week and the months of the year.
- Ask questions based on a given situation that require collecting small amounts of data (up to 25 points in no more than four categories).
- Figure out what information is needed to answer a question, and gather this information by counting objects or drawing pictures.
- Sort objects into groups and display the data in a simple object graph, either vertically or horizontally.
- Use pictures to organize and show the data in a simple picture graph, either vertically or horizontally.
- Look at the data in object graphs and picture graphs to understand it better:
- Ask and answer questions about the data (like how many items are in each category and which categories have the most, the least, or the same amount).
- Make conclusions and predictions based on what you see in the graphs.
Students will:
- Use one-to-one matching to count the number of items in a set of up to 30 objects (like cubes, pennies, or balls) and say the last number as the total number of objects counted.
- Understand and explain that the number of objects stays the same no matter how they are arranged or the order in which they are counted.
- Count out loud by ones from 0 to 100.
- Count out loud by ones, starting from any number up to 100.
- Count backward out loud by ones from any number between 1 and 20.
- Say the next number without counting when given any number between 0 and 30.
- Use objects, drawings, words, or numbers to break down and put together numbers from 11 to 19 into a group of ten and some extra ones.
- Read, write, and recognize numbers from 0 to 30.
- Create a group of objects that matches a given number up to 30, including an empty group for zero.
- Count a group of up to 30 objects and write down the number that matches the total count.
- Given a group of up to 30 objects, make another group that has more, fewer, or the same number of objects using real items or pictures.
- Given a number up to 30, create a group that has more, fewer, or the same number of objects using real items or pictures.
- Compare two groups of up to 30 objects or pictures, and describe them using the words more, fewer, or the same (equal to).
- Use objects, drawings, words, or numbers to break down and put together numbers up to 5 in different ways.
- Quickly recognize and explain how numbers up to 5 can be split into parts and combined in various ways.
- Show and find the number that adds up to 5 when combined with a given number up to 5.
- Use objects, drawings, words, or numbers to break down and put together numbers up to 10 in different ways.
- Show and find the number that adds up to 10 when combined with a given number up to 10.
- Use objects to model and solve simple real-life problems (joining, separating, and part-part-whole) with numbers up to 10.
- Recognize that a calendar is used to keep track of time.
- Learn and name the days of the week, knowing that there are seven days in one week.
- Figure out which day comes before and after a specific day (like yesterday, today, and tomorrow).
- Learn and name the twelve months of the year, knowing that there are twelve months in one year.
- Understand the difference between the days of the week and the months of the year.
- Ask questions in a given situation that require collecting small amounts of data (up to 25 data points in no more than four categories).
- Figure out what information is needed to answer a question, and gather this information by counting objects or drawing pictures.
- Sort objects into groups and display the data in a simple object graph, either vertically or horizontally.
- Use pictures to organize and display the data in a simple picture graph, either vertically or horizontally.
- Look at the data in object graphs and picture graphs to understand it better:
- Ask and answer questions about the data (like how many items are in each category, and which categories have the most, least, or the same amount).
- Make conclusions and predictions based on what you see in the graphs.
- Find and describe the main part that repeats in a pattern.
- Continue a repeating pattern by adding at least two more sets of the repeating part.
- Make and explain a repeating pattern using objects, colors, sounds, movements, or pictures.
Students will:
- Use direct comparisons to compare, describe, and explain:
- The lengths of two objects using the terms longer or shorter.
- The heights of two objects using the terms taller or shorter.
- The weights of two objects using the terms heavier or lighter.
- The volumes of two containers using the terms more or less.
- The amount of time spent on two events using the terms longer or shorter.
- Recognize that a calendar is a tool used to measure and keep track of time.
- Learn and name the days of the week, and know that there are seven days in one week.
- Figure out which day comes before and after a specific day (like yesterday, today, and tomorrow).
- Learn and name the twelve months of the year, and know that there are twelve months in one year.
- Understand the difference between the days of the week and the months of the year.
- Ask questions based on a given situation that require collecting small amounts of data (up to 25 data points in no more than four categories).
- Figure out what information is needed to answer a question and gather this information by counting objects or drawing pictures.
- Sort objects into groups and display the data in a simple object graph, either vertically or horizontally.
- Use pictures to organize and display the data in a simple picture graph, either vertically or horizontally.
- Look at the data in object graphs and picture graphs to understand it better:
- Ask and answer questions about the data (like how many items are in each category and which categories have the most, the least, or the same amount).
- Make conclusions and predictions based on what you see in the graphs.
- Find and describe the main part that repeats in a pattern.
- Continue a repeating pattern by adding at least two more sets of the repeating part.
- Make and explain a repeating pattern using objects, colors, sounds, movements, or pictures.
Students will:
- Count out loud by ones from 0 to 100.
- Count out loud by ones starting from any number up to 100.
- Count backward out loud by ones from any number between 1 and 20.
- Say the previous number without counting when given any number between 1 and 20.
- Use objects, drawings, words, or numbers to break down and put together numbers from 11 to 19 into a group of ten and some extra ones.
- Group up to 100 objects (like counters, pennies, or cubes) into sets of ten and count by tens to find the total (for example, 3 groups of ten and 6 leftover make 36 total objects).
- Given a number up to 30, create a group of objects or pictures that has more, fewer, or the same number of items.
- Compare two groups of up to 30 objects or pictures using the terms more, fewer, or the same (equal to).
- Compare numbers up to 30 to the benchmarks of 5 and 10 using different models (like five frames, ten frames, number paths, beaded racks, or hands) and describe them as greater than, less than, or equal to.
- Recognize that a calendar is a tool used to measure and keep track of time.
- Learn and name the days of the week, knowing that there are seven days in one week.
- Figure out which day comes before and after a specific day (like yesterday, today, and tomorrow).
- Learn and name the twelve months of the year, knowing that there are twelve months in one year.
- Understand the difference between the days of the week and the months of the year.
- Ask questions based on a given situation that require collecting small amounts of data (up to 25 data points in no more than four categories).
- Figure out what information is needed to answer a question and gather this information by counting objects or drawing pictures.
- Sort objects into groups and display the data in a simple object graph, either vertically or horizontally.
- Use pictures to organize and display the data in a simple picture graph, either vertically or horizontally.
- Look at the data in object graphs and picture graphs to understand it better:
- Ask and answer questions about the data (like how many items are in each category, and which categories have the most, the least, or the same amount).
- Make conclusions and predictions based on what you see in the graphs.
Students will:
- Ask questions based on a given situation that require collecting small amounts of data (up to 25 data points in no more than four categories).
- Figure out what information is needed to answer a question and gather this information by counting objects or drawing pictures.
- Sort objects into groups and display the data in a simple object graph, either vertically or horizontally.
- Use pictures to organize and display the data in a simple picture graph, either vertically or horizontally.
- Look at the data in object graphs and picture graphs to understand it better:
- Ask and answer questions about the data (like how many items are in each category, and which categories have the most, the least, or the same amount).
- Make conclusions and predictions based on what you see in the graphs.
- Recognize that a calendar is used to measure and keep track of time.
- Learn and name the days of the week, knowing that there are seven days in one week.
- Figure out which day comes before and after a specific day (like yesterday, today, and tomorrow).
- Learn and name the twelve months of the year, knowing that there are twelve months in one year.
- Understand the difference between the days of the week and the months of the year.
Students will:
- Use one-to-one matching to count the number of items in a set of up to 30 objects (like cubes, pennies, or balls) and say the total number when finished.
- Count out loud by ones from 0 to 100.
- Count out loud by ones starting from any number up to 100.
- Say the next number without counting when given any number between 0 and 30.
- Create a group of objects that matches a given number up to 30, including an empty group for zero.
- Count a group of up to 30 objects and write down the number that matches the total count.
- Given a group of up to 30 objects, make another group that has more, fewer, or the same number of objects using real items or pictures.
- Given a number up to 30, create a group that has more, fewer, or the same number of objects using real items or pictures.
- Compare two groups of up to 30 objects or pictures using the terms more, fewer, or the same (equal to).
- Compare numbers up to 30 to the benchmarks of 5 and 10 using different models (like five frames, ten frames, number paths, beaded racks, or hands) and describe them as greater than, less than, or the same as (equal to).
- Use objects, drawings, words, or numbers to break down and put together numbers up to 5 in different ways.
- Quickly recognize and explain how numbers up to 5 can be split into parts and combined in various ways.
- Show and find the number that makes 5 when added to a given number up to 5.
- Use objects, drawings, words, or numbers to break down and put together numbers up to 10 in different ways.
- Show and find the number that makes 10 when added to a given number up to 10.
- Use objects to model and solve simple real-life problems (joining, separating, and part-part-whole) with numbers up to 10.
- Recognize that a calendar is a tool used to measure and keep track of time.
- Learn and name the days of the week, knowing that there are seven days in one week.
- Figure out which day comes before and after a specific day (like yesterday, today, and tomorrow).
- Learn and name the twelve months of the year, knowing that there are twelve months in one year.
- Understand the difference between the days of the week and the months of the year.
Virginia Department of Education Resources
Assessments
Student assessments are part of the teaching and learning process.
- Teachers give assessments to students on an ongoing basis to
- Check for understanding
- Gather information about students' knowledge or skills.
- Assessments provide information about a child's development of knowledge and skills that can help families and teachers better plan for the next steps in instruction.
For testing questions or additional information about how schools and teachers use test results to support student success, families can contact their children's schools.
In Fairfax County Public Schools (FCPS), kindergarten tests focus on measuring content knowledge and skill development.